Mastering the Texas Assessment of Knowledge and Skills (TAKS), Grade...

Diagnose Prescribe Practice Benchmark

Texas Assessment of Knowledge and Skills

Grade 9

Mastering TAKS_G9_SE_TP_877323-71 1Mastering TAKS_G9_SE_TP_877323-71 1 6/30/06 4:12:16 PM6/30/06 4:12:16 PM

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN 13: 978-0-07-877323-5ISBN 10: 0-07-877323-7 Mastering the TAKS: Diagnose–Prescribe–Practice–Benchmark, Grade 9

Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 024 15 14 13 12 11 10 09 08 07 06

Test-Taking Tips• Go to bed early the night before the test. You will think more clearly

after a good night’s rest.

• Read each problem carefully, and think about ways to solve the problem before you try to answer the question.

• Relax. Most people get nervous when taking a test. It’s natural. Just do your best.

• Answer questions that you are sure about first. If you do not know the answer to a question, skip it and go back to that question later.

• Think positively. Some problems may seem hard to you, but you may be able to figure out what to do if you read each question carefully.

• If no figure is provided, draw one. If one is furnished, mark it in any way that will help you solve the problem.

• When you have finished each problem, reread it to make sure that your answer is reasonable.

• Become familiar with a variety of formulas and when they should be used.

• Make sure that the number of the question on the answer sheet matches the number of the question on which you are working in your test booklet.

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Road Map to TAKS SuccessAn Annotated Table of Contents

Diagnose Your Needs

Learn about what mathematics skills are assessed on the TAKS.

Texas Essential Knowledge and Skills, Grade 9 . . . . . . . . . . . .vi–ix

Take the Diagnostic Test fi rst.

Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1–10

Record your mastered skills.

Student Recording Chart for TAKS Mastery . . . . . . . . . . . . . . . . . .v

If you made a perfect score on your Diagnostic Test, proceed to Step 3 on the next page.

Prescribe Ways to Improve Your Skills

Use the information from your student Recording Sheet to determine which TAKS Practice pages you need to complete.

Functional Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11

Properties and Attributes of Functions . . . . . . . . . . . . . . . . . . . . .16

Linear Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24

Linear Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . . .33

Quadratic and Other Nonlinear Functions . . . . . . . . . . . . . . . . . . .37

Geometric Relationships and Spatial Reasoning . . . . . . . . . . . . .39

2-D and 3-D Representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42

Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45

Percents, Proportions, Probability, and Statistics . . . . . . . . . . . . .52

Mathematical Processes and Tools . . . . . . . . . . . . . . . . . . . . . . . .59

Steps to Success Page(s)

continued on the next page

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Practice Your Test Skills

Take the Practice Test to determine how you have improved your mathematics skills.

Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . .65–74

Approximately 25 weeks before your test date, begin the Countdown to TAKS. This contains problems that are similar to those found on the TAKS.

Countdown to TAKS . . . . . . . . . . . . . . . . . . .75–99

Work on the problems for each day unless your teacher instructs you to do otherwise. Each question tells which objective is being assessed.

Benchmark Your Progress

Monitor your progress as the year progresses by taking the Benchmark Tests. You can record your progress with each test.

Mastery of Objectives Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .x

Each Benchmark Test assesses the same concepts but is taken at a different time during the school year. Your test scores should improve with each test taken.

Benchmark Test 1 (take in late October) . . . . . . . . . . . . . . .101–111

Benchmark Test 2 (take in early January) . . . . . . . . . . . . . .112–122

Benchmark Test 3 (take in early February) . . . . . . . . . . . . .123–133

Steps to Success Page(s)

Road Map to TAKS SuccessAn Annotated Table of Contents

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Directions Mark a ✓ next to each question from the Diagnostic Test that you answered correctly. If there are more than one or two questions not marked for a benchmark, write Yes in the Need Practice? box. Then complete the practice pages for that benchmark.

TEKS A.1(A) A.1 (B) A.1(C) A.1(D) A.1(E) A.2(A) A.2(B) A.2(C) A.3(A)

TAKS Objective 1 1 1 1 1 2 2 2 2

Test Questions 15 o 4 o 26 o 52 o 44 o 6 o 31 o 24 o 45 o

Need Practice?

Practice Pages 11 12 13 14 15 16 17 18 20

TEKS A.3(B) A.4(A) A.4(B) A.5(C) A.6(A) A.6(B) A.6(C) A.6(D) A.6(E)



Need Practice?

Practice Pages 21 22 23 25 26 27 28 29 30

TEKS A.6(F) A.6(G) A.7(A) A.7(B) A.7(C) A.8(A) A.9(C) A.11(A) 8.6(A)



Need Practice?

Practice Pages 31 32 33 34 35 36 37 38 39

TEKS 8.6(B) 8.7(D) 8.7(A) 8.7(B) 8.7(C) 8.8(A) 8.8(B) 8.8(C) 8.9(A)



Need Practice?

Practice Pages 40 41 42 43 44 45 46 47 48

TEKS 8.9(B) 8.10(A) 8.10(B) 8.1(B) 8.3(B) 8.11(A) 8.11(B) 8.12(A) 8.12(C)



Need Practice?

Practice Pages 49 50 51 52 53 54 55 56 57

TEKS 8.13(B) 8.14(A) 8.14(B) 8.14(C) 8.15(A) 8.16(A) 8.16(B)

TAKS Objective 9 10 10 10 10 10 10

Test Questions 27 o 38 o 20 o 41 o 13 o 47 o 32 o

Need Practice?

Practice Pages 58 59 60 61 62 63 64

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Student Recording Chart

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Texas Essential Knowledge and Skills

A.1 FOUNDATIONS FOR FUNCTIONS.The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to:

(A) describe independent and dependent quantities in functional relationships;

(B) gather and record data and use data sets to determine functional relationships between quantities;

(C) describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations;

(D) represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities; and

(E) interpret and make decisions, predictions, and critical judgments from functional relationships.

A.2 FOUNDATIONS FOR FUNCTIONS.The student uses the properties and attributes of functions. The student is expected to:

(A) identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parent functions;

(B) identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete;

(C) interpret situations in terms of given graphs or create situations that fit given graphs; and

(D) collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations.

A.3 FOUNDATIONS FOR FUNCTIONS.The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to:

(A) use symbols to represent unknowns and variables; and

(B) look for patterns and represent generalizations algebraically.

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Texas Essential Knowledge and Skills, Algebra 1

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A.4 FOUNDATIONS FOR FUNCTIONS.The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. The student is expected to:

(A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations;

(B) use the commutative, associative, and distributive properties to simplify algebraic expressions; and

(C) connect equation notation with function notation, such as y = x + 1 and f(x) = x + 1.

A.5 LINEAR FUNCTIONS. The student understands that linear functions can be represented in different ways and translates among their various representations. The student is expected to:

(A) determine whether or not given situations can be represented by linear functions;

(B) determine the domain and range for linear functions in given situations; and

(C) use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions.

A.6 LINEAR FUNCTIONS.The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations. The student is expected to:

(A) develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations;

(B) interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs;

(C) investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b;

(D) graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept;

(E) determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations;

(F) interpret and predict the effects of changing slope and y-intercept in applied situations; and

(G) relate direct variation to linear functions and solve problems involving proportional change.

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A.7 LINEAR FUNCTIONS.The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:

(A) analyze situations involving linear functions and formulate linear equations or inequalities to solve problems;

(B) investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and

(C) interpret and determine the reasonableness of solutions to linear equations and inequalities.

A.8 LINEAR FUNCTIONS.The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:

(A) analyze situations and formulate systems of linear equations in two unknowns to solve problems;

(B) solve systems of linear equations using concrete models, graphs, tables, and algebraic methods; and

(C) interpret and determine the reasonableness of solutions to systems of linear equations.

A.9 QUADRATIC AND OTHER NONLINEAR FUNCTIONS.The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions. The student is expected to:

(A) determine the domain and range for quadratic functions in given situations;

(B) investigate, describe, and predict the effects of changes in a on the graph of y = ax2 + c;

(C) investigate, describe, and predict the effects of changes in c on the graph of y = ax2 + c; and

(D) analyze graphs of quadratic functions and draw conclusions.

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A.10 QUADRATIC AND OTHER NONLINEAR FUNCTIONS.The student understands there is more than one way to solve a quadratic equation and solves them using appropriate methods. The student is expected to:

(A) solve quadratic equations using concrete models, tables, graphs, and algebraic methods; and

(B) make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.

A.11 QUADRATIC AND OTHER NONLINEAR FUNCTIONS.The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations. The student is expected to:

(A) use patterns to generate the laws of exponents and apply them in problem-solving situations;

(B) analyze data and represent situations involving inverse variation using concrete models, tables, graphs, or algebraic methods; and

(C) analyze data and represent situations involving exponential growth and decay using concrete models, tables, graphs, or algebraic methods.

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x Mastering the TAKS, Grade 9

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Directions Mark a ✓ by each question from the Benchmark Test that you answer correctly. The goal is to gain more ✓s with each Benchmark Test you take.

Test 1 Test 2 Test 3

Strand Date: Date: Date:

Objective 1 Questions:® 10 ® 27 ® 55® 18 ® 42

Questions:® 10 ® 27 ® 55® 18 ® 42

Questions:® 10 ® 27 ® 55® 18 ® 42

Objective 2 Questions:® 3 ® 31 ® 49® 12 ® 38® 28 ® 43

Questions:® 3 ® 31 ® 49® 12 ® 38® 28 ® 43

Questions:® 3 ® 31 ® 49® 12 ® 38® 28 ® 43

Objective 3 Questions:® 9 ® 26 ® 44® 15 ® 34 ® 45® 23 ® 36 ® 59

Questions:® 9 ® 26 ® 44® 15 ® 34 ® 45® 23 ® 36 ® 59

Questions:® 9 ® 26 ® 44® 15 ® 34 ® 45® 23 ® 36 ® 59

Objective 4 Questions:® 7 ® 30 ® 52® 21 ® 46

Questions:® 7 ® 30 ® 52® 21 ® 46

Questions:® 7 ® 30 ® 52® 21 ® 46

Objective 5 Questions:® 1 ® 17® 4 ® 54

Questions:® 1 ® 17® 4 ® 54

Questions:® 1 ® 17® 4 ® 54


Questions:® 6 ® 39® 22 ® 50

Questions:® 6 ® 39® 22 ® 50


Questions:® 8 ® 32® 13 ® 58

Questions:® 8 ® 32® 13 ® 58

Objective 8 Questions:® 19 ® 33 ® 47® 29 ® 40 ® 57

Questions:® 19 ® 33 ® 47® 29 ® 40 ® 57

Questions:® 19 ® 33 ® 47® 29 ® 40 ® 57

Objective 9 Questions:® 5 ® 35 ® 60® 14 ® 41® 20 ® 51

Questions:® 5 ® 35 ® 60® 14 ® 41® 20 ® 51

Questions:® 5 ® 35 ® 60® 14 ® 41® 20 ® 51

Objective 10 Questions:® 2 ® 24 ® 48® 11 ® 25 ® 53® 16 ® 37 ® 56

Questions:® 2 ® 24 ® 48® 11 ® 25 ® 53® 16 ® 37 ® 56

Questions:® 2 ® 24 ® 48® 11 ® 25 ® 53® 16 ® 37 ® 56

Mastery of Objectives Chart

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Mastering the TAKS, Grade 9 xi

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Perimeterrectangle P = 2� + 2w or

P = 2(� + w)

Circumferencecircle C = 2πr

parallelogram C = πd

Arearectangle A = �w or A = bh

triangle A = 1 _ 2 bh or A = bh __ 2

trapezoid A = 1 _ 2 (b1 + b2)h or

A = (b1 + b2)h _______ 2

circle A = πr2

Surface Areacube S = 6s2

cylinder (lateral) S = 2πrh

cylinder (total) S = 2πrh + 2πr2 or

S = 2πr(h + r)

cone (lateral) S = πr�

cone (total) S = πr� + πr2 or

S = πr(� + r)

sphere S = 4πr2

Volumeprism or cylinder V = Bh*

pyramid or cone V = Bh*

Piπ ≈ 3.14 or π ≈ 22 __ 7

Pythagorean Theorema2 + b2 = c2

Slope of a Line

m = y2 − y1 _____ x2 − x1

Standard Form of an EquationAx + By = C

Slope-Intercept Form of an Equationy = mx + b

Point-Slope Form of an Equationy − y1 = m(x − x1)

Distance Formulad = √

__________________

(x2 − x1)2 + (y2 − y1)

2

Midpoint Formula

M = ( x1 + x2 _____ 2 , y1 + y2 _____ 2 )

Quadratic Formula

x = -b ± √

________

b2 - 4ac ___________ 2a

*B represents the area of the base of a solid figure.

Mathematics Chart1

23

45

60Inches

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LENGTH

Metric

1 kilometer = 1000 meters

1 meter = 100 centimeters

1 centimeter = 10 millimeters

Customary

1 mile = 1760 yards

1 mile = 5280 feet

1 yard = 3 feet

1 foot = 12 inches

CAPACITY AND VOLUME

Metric

1 liter = 1000 milliliters

Customary

1 gallon = 4 quarts

1 gallon = 128 ounces

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

MASS AND WEIGHT

Metric

1 kilogram = 1000 grams

1 gram = 1000 milligrams

Customary

1 ton = 2000 pounds

1 pound = 16 ounces

TIME

1 year = 365 days

1 year = 12 months

1 year = 52 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Mathematics Chart1

23

45

67

89

1011

1213

1415

1617

1819

20C

entim

eter

s0

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Name Date

Mastering the TAKS, Grade 9 1

Diagnostic Test

Read each question and choose the

correct answer.

1 Which equation describes a line that has a y-intercept of 4 and a slope of 3? A.6(D) A y = 3 + 4xB y = 4 + 3xC y = 3x – 4D y = 4x – 3

2 The drawing below is a representation of The Spirit of Sacrifi ce, also known as The Alamo Cenotaph. 8.7(A)

Which best represents the shape of the solid when viewed from the top?F rectangleG squareH trapezoidJ none of these

3 A square-based prism has a width of 14 centimeters and a height of 32 centimeters. A cylinder has a diameter of 14 centimeters and a height of 32 centimeters. Which formula would determine the difference in volume? 8.8(B) A (32)(7)2 – π(7)2 (32)B (32)(7)2 – π(7)(32)C (32)(14)2 – π(7)2 (32)D (32)(14)2 – π(14)2 (32)

4 Which equation best describes the relationship between the corresponding values of x and y shown in the table? A.1(B)

x y

–2 –10 31 53 9

F y = x + 1G y = 2x – 3H y = 2x + 3J y = 3x + 5

5 The Tent Market sells two-person tents for $299 and three-person tents for $399. During the month of May, 8 more two-person tents than three-person tents were sold for a total of $10,768. Which system of equations could be used to fi nd the number of two-person tents, a, and three-person tents, b, that were sold by the store? A.8(A) A a = b – 8 299a + 399b = 10,768B a + b = 8 299a + 399b = 10,768C a = b + 8 299a + 399b = 10,768 D a – b = 8 399a + 299b = 10,768

6 Which of the following equations is NOT linear? A.2(A) F y = 2(x – 3)G y = 3x + 4H y = 4x(x + 5)J y = 4 – 3x

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Name Date

Diagnostic Test (continued)

2 Mastering the TAKS, Grade 9

7 The dimensions of a rectangle are 3x + 2 and 4x – 1. Which expression best represents the area of the rectangle in simplest terms? A.4(A) A 12x2 + 5x – 2B 12x2 +11x – 2C 12x2 – 5x – 2D 12x2 – 11x – 2

8 The chart below shows the population of the 6 largest cities in Texas in 2000.

City Population

Austin 656,562Dallas 1,188,580El Paso 563,662Fort Worth 534,694Houston 1,953,631San Antonio 1,144,646

Which of the following would be an appropriate range for the vertical axis of a bar graph representing this data? 8.12(C) F 0 to 1,500,000G 0 to 15,000,000H 0 to 2,500,000J 1,000,000 to 2,500,000

9 An elevator begins its ascent starting from 30 feet above ground level. If the elevator ascends at a constant rate of 20 feet per second, which equation shows t, the time in seconds it would take to reach a height of 600 feet? A.7(A) A 600 = 30t + 20B 600 = 20t + 30C 600 = 20t – 30D 600 = 20(t + 30)

10 �XYZ has coordinates X(2, 4), Y(8, 4), and Z(4, –3). What will be the new coordinates of point Z if the triangle is translated 3 units to the left and 3 units up? 8.7(D)

Y

yX

Z

xO

F (7, –6)G (7, 0)H (1, –6)J (1, 0)

11 If �ABC ˜ �XYZ, what is the length of the missing side? 8.9(B)

A

B

C

6 cm

4 cm

5 cm

X

Y

Z

15 cm

10 cm

A 5 cm C 10 cmB 7.5 cm D 12.5 cm

12 Which function includes the data set {(2, –2), (6, 10), (13, 31)}? A.5(C)

F y = 1 __ 2 x – 3

G y = –2x + 2

H y = 3x – 8

J y = 4x – 10


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13 What term best describes the amount of wrapping paper required to cover a box containing a plasma television? 8.15(A) A capacityB perimeterC surface areaD volume

14 The Devil’s Sinkhole, located near Rocksprings, is a vertical cavern about 140 feet deep with an opening that measures 40 feet by 60 feet. If plywood costs $4.50 per square foot, how much will it cost to cover the opening? 8.7(B) F $10,800 H $31,400G $11,430 J $33,600

15 Identify the dependent variable in the equation. A.1(A)

y = 4x2 + 5x – 9

A 9B 5xC x 2

D y

16 The volume of a rectangular box is 250 cm 3 . If the length and width of the box are tripled, what is the volume of the new box? 8.10(B)

Record your answer and fi ll in the bubbles in the answer grid below.

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

17 �ABC is translated so that A is mapped to A'.

B

C

y

AA´

xO

Which coordinate pair best represents B'? 8.6(B) F (–2, 4)G (–1, 3)H (2, 4)J (3, –1)

18 A 6-sided number cube is thrown 100 times. The results are shown in the table below.

Results of Throws

1 262 103 294 85 106 17

For which number on the cube is the experimental probability closest to the theoretical probability? 8.11(B) A 6B 4C 3D 2

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19 Simplify the algebraic expression. A.4(B)

4(x – 3) + 2(x + 5)

F 6x + 2G 6x + 10H 6x – 2J 6x – 22

20 Paul can choose one of three options when opening a new bank account. Account A charges $0.10 per transaction. Account B charges $2.00 plus $0.05 per transaction. Account C charges $1.50 plus $0.08 per transaction. Which statement is NOT a valid conclusion? 8.14(B) A Account A is the most cost effective

choice for fewer than 40 transactions.B Account B is the most cost effective

choice for more than 40 transactions.C Account C is more cost effective

than Account A for fewer than 60 transactions.

D Account C is more cost effective than Account B for fewer than 16 transactions.

21 If (x, 4) is a solution to the equation 5x – 3y = 13, what is the value of x? A.7(B) F –5 H 1G –1 J 5

22 How would the graph of the function y = x2 + 3 be affected if the function was changed to y = x2 – 5? A.9(C) A The graph would shift 8 units down.B The graph would shift 8 units up.C The graph would shift 8 units to the

left.D The graph would shift 8 units to the

right.

23 The length of a fl ag is 1 __ 4 the length of a

fl agpole, and the width of the fl ag is 3 __ 5 the

length. If a fl agpole is 40 feet long, then

the fl ag measures 10 feet by 6 feet. If the

fl agpole is reduced to 30 feet, by how

much should the perimeter of the new fl ag

be reduced? 8.10(A) F 8 ftG 10 ftH 12 ftJ 14 ft

24 Which statement is true for the graph below? A.2(C)

Fort Worth Zoo Admissions

Earn

ing

s (T

ho

usa

nd

s $)

2

3

1

0

4

5

6

7

8

9

10

11

Number of Adult Visitors (Hundreds) 321 5 74 6 8 9 10

A The Fort Worth Zoo charges $12 per person.

B The Fort Worth Zoo earns more than $5000 when it has 500 visitors.

C The Fort Worth Zoo earns $7800 when it has 800 visitors.

D The Fort Worth Zoo needs to have more than 1000 visitors to earn over $9000.

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25 The net of a pyramid is shown below.

Use the ruler on the Mathematics Chart to measure the dimensions of the pyramid to the nearest 1 __ 4 inch. Find the surface area of the pyramid to the nearest square inch. 8.8(A) F 16 in. 2 G 1.5 in. 2 H 2 in. 2 J 2.5 in. 2

26 Carter sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $5.15 per hour, plus $10 per day to cover gas and lunch expenses. Which equation best represents this relationship? A.1(C) A W = 10H + 5.15B W = 5.15H + 10C W = 10H + 5.15HD W = 5.15H

27 The table below shows the number of envelopes that Devon stamped and mailed to members of his magazine’s mailing list over a 10-day period.

Day Number of Envelopes

1 452 803 1204 1085 356 1257 908 1589 87

10 42

Which of the following statements would be an invalid conclusion? 8.13(B) F Devon stamped and mailed 890

envelopes.G Devon stamped and mailed more

envelopes in the last 5 days than he did in the fi rst 5 days.

H Devon averaged more than 90 envelopes per day.

J Devon averaged less than 78 envelopes per day in the fi rst 5 days.

28 Candace works at Really Good Leather, where she sells leather coats and jackets. She earns a commission of 12.5% on all of the clothing that she sells. How much must she sell if she wants to earn $1500 this week? 8.3(B) A $9,000B $12,000C $15,000D $25,000


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29 What is the slope of the linear function shown in the graph? A.6(A)

4

2

0

6

8

10

12

14

16

18

642 10 148 12

y

x

F 3 __ 2 H 3 __

4

G 4 __ 3 J 2 __

3

30 �DEF ∼ �KLM as shown below.

O

D F

L

K M

y

E

x

What scale factor was used to transform �DEF to �KLM? 8.6(A)

A 1 __ 3 C 2

B 1 __ 2 D 3

31 Given the function y = 2 – 1.5x for x � {–2, 3, 6}, which shows the range of the function? A.2(B) F {–7, – 2.5, 5}G {–7, –5, –2.5}H {–2, 3, 6}J {2.5, 5, 7}

32 _____

AF is perpendicular to ______

CE . _____

BE and ______

DE create angles such that ∠1 ≠ ∠2 ≠ ∠3 ≠ ∠4.

C

E

DB

A F1 4

2 3

Which statement is NOT a valid conclusion? 8.16(B) A ∠3 + ∠4 = 90°B ∠2 + ∠3 = 90°C ∠1 + ∠2 = 90°D ∠1 + ∠2 = ∠3 + ∠4

33 In 5 consecutive practices, Kristin throws a shot put 42 feet 5 inches, 38 feet 8 inches, 39 feet 4 inches, 41 feet 11 inches, and 35 feet 7 inches. If she throws the next shot put 41 feet 8 inches, which measure of central tendency will produce the most accurate measure of her performance? 8.12(A) F mean H rangeG median J mode

34 Doug owns a model of the Sam Houston statue, which stands 66 feet tall. If the model is built on a scale of 1:50, how tall is it? 8.1(B) A 16.5 in. C 14.8 in.B 15.8 in. D 13.5 in.

35 A college football fi eld, such as Kyle Field at Texas A&M, measures 120 yards by

53 1 __ 3 yards. What is the approximate

distance from one corner of the fi eld to the opposite corner? 8.9(A) F 120.2 yd H 153.5 yd G 131.3 yd J 188.8 yd


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36 There are 6 black shirts, 8 white shirts, 3 red shirts, and 5 blue shirts in a drawer. What is the probability of choosing a black shirt or a blue shirt? 8.11(A)

A 4 __ 11

B 1 __ 2

C 13 __ 22

D 7 __ 11

37 Which expression is equivalent to

(3x2)(6x5)

_______ 2x3 ? A.11(A)

F 18x7

G 18x4

H 9x7

J 9x4

38 Annika’s age is 4 years less than 3 times Maria’s age. If Annika is 32 years old, which equation would determine Maria’s age? 8.14(A) A 32 = 3x + 4B 32 = 3x – 4C 32 = 4x + 3D 32 = 4x – 3

39 Which of the following expressions will always produce an odd integer for any given integer, n? A.3(B) F 3nG 3n + 2H 2n + 3J 2n – 2

40 What will happen to the slope of the line in the graph if the x-intercept remains the same and the y-intercept changes to –3? A.6(C)

y

xO

A The slope will decrease.B The slope will remain the same.C The slope will change from negative to

positive.D The slope will change from positive to

negative.

41 Orlando has to replace a window on the side of his house. He has a 20-foot extension ladder. In order to use the ladder safely, the ladder must be 4 feet away from the wall. How can Orlando determine the highest point on the side of his house that he can safely reach? 8.14(C) F Divide the ladder length by the distance

from the wall and square the result.G Subtract the square of the distance from

the wall from the square of the ladder length, and fi nd the square root of this difference.

H Add the square of the distance from the wall to the square of the ladder and fi nd the square root of the sum.

J Multiply the ladder length by the distance from the wall and fi nd the square root of the result.


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42 What are the x- and y-intercepts of the function graphed below? A.6(E)

y

x

A (–7, 0) and (0, 3.5)B (0, –7) and (0, 3.5)C (–7, 0) and (3.5, 0)D (0, –7) and (3.5, 0)

43 Elena sells chocolate bars door to door for $3 each. If her goal is to raise $500 for charity, what is a reasonable number of chocolate bars she must sell? A.7(C) F 150G 170H 200J 230

44 Which graph best represents the relationship between the height of a kite and the amount of time that passes as the kite is being reeled in? A.1(E) A

Hei

gh

t

Time

B

Hei

gh

t

Time

C H

eig

ht

Time

D

Hei

gh

t

Time

45 Daniel runs a concession stand at the mall. He sells sandwiches at a cost of a dollars and sells drinks at a cost of b dollars. He sells 40 sandwiches and 55 drinks on Saturday, and 58 sandwiches and 63 drinks on Sunday. Which expression shows his earnings for the weekend? A.3(A) F 40a + 55a + 58b + 63bG (40 + 55)a + (58 + 63)bH 40a + 58b + 55a + 63bJ a(40 + 58) + b(55 + 63)


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46 Steve is writing a science fi ction novel. He produces 1500 words per day and writes 5 days a week. How long will it take him to write a novel that is 60,000 words? A.6(G) A 7 weeks C 9 weeksB 8 weeks D 10 weeks

47 If the pattern is continued, what fi gure is next? 8.16(A)

F

G

H

J

48 The drawing below shows a triangular man-made pond surrounded by three parks.

If the areas of the two smaller parks are 225 yards2 and 400 yards2, respectively, what is the length of each side of the larger park? 8.7(C) A 20 yd C 30 ydB 25 yd D 35 yd

49 The graph below illustrates the slope of a gondola that brings skiers down from a mountain. A.6(F)

Hei

gh

t (m

)

200

100

300

400

500

600

700

800y

x

Time (min)642 10 148 12 16

What would happen if the slope was changed to –40?F The gondola would increase in speed.G The gondola would decrease in speed.H The gondola would stop.J The gondola would reverse direction.


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50 The line segment on the graph shows the distance traveled by the McKinney Avenue Trolley as it begins its route around the Dallas Arts District. Which of the following best describes the slope of the line segment? A.6(B)

Dis

tan

ce (

ft)

100

50

150

200

250

300

350

400

450

500

550

600y

x

Time (sec)

15105 25 3520 30 40 50 6045 55

A The streetcar travels at a rate of 29.5 feet per second.

B The streetcar travels at a rate of 19.5 feet per second.

C The streetcar travels at a rate of 9.5 feet per second.

D The streetcar travels at a rate of 5.5 feet per second.

51 A water basin has a radius of 4.5 feet and a height of 12 feet. It is being fi lled with water at a rate of 5 cubic feet per minute. About how long will it take to fi ll the basin? 8.8(C) F 119 minG 136 minH 153 minJ 168 min

52 Nadine purchases a $200 debit card that can be used to purchase meals at the college cafeteria. She always purchases the daily lunch special, which costs $8.50. Which table best describes b, the balance remaining on the debit card after she purchases n meals? A.1(D) A nn b

0 $200.005 $157.50

10 $115.0015 $72.5020 $36.00

B n b

0 $200.003 $175.006 $157.50

10 $115.0015 $72.50

C n b

0 $200.006 $149.00

12 $98.0015 $72.5020 $30.00

D n b

0 $200.004 $166.008 $132.00

12 $88.0015 $72.50


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correct answer.

1 Identify the dependent variable in the quadratic equation y = 2x2 + 3x – 4. A x2

B 3xC yD 4

2 Which of the following equations does not have an independent variable? F y = 3G y = 4x + 5H y = 4 – 3xJ y = x2 + 4x – 5

3 Cities in Texas have the option of charging up to 8.25% in sales tax. If you purchased a bicycle in a city that charged the full 8.25% sales tax, what fi gure would be the dependent variable? A the assembly fee charged by the storeB the cost of the bicycle before taxesC the sales tax rateD the total cost of the bicycle after taxes

4 Identify the independent variable in the general linear equation y = mx + b. F yG mH xJ b

5 A farmer plants corn in his fi eld. Which of the following would be classifi ed as an independent variable? A the height of the cornB the cost of the seedsC the cost of the farmer’s equipmentD the amount of rain received

6 Consider the following graph. y

xO 21 4 5 6 7 8 9 103

102030405060

Which of the following is the dependent variable? F the slopeG the y-interceptH the x-valueJ the y-value

TAKS PracticeOBJECTIVE 1

A.1(A) The student is expected to describe independent and dependent quantities in functional relationships.

011-064_OB_TX_877323.indd 11011-064_OB_TX_877323.indd 11 6/28/06 4:32:33 PM6/28/06 4:32:33 PM

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1 Which equation could be used to generate this table of values?

x y

–2 1–1 30 53 11

A y = x + 3B y = 2x + 5C y = 3x + 7D y = 5 – 2x

2 William borrowed some money from his brother Kyle to buy a new computer. The table below illustrates the remaining balance after each payment.

Number of Payments (p) Balance (b)

1 $9002 $8003 $7004 $6005 $500

Which function can be used to describe this relationship? F b = 1000 – 100pG b = 1000 + 100pH 1000 = b – 100pJ p = 1000 + 100b

3 The cost per adult attending The Texas Zoo in Victoria is shown in the table below.

Number of Adults Cost

2 $85 $208 $3212 $48

Which function describes this relationship? A y = 2xB y = 2x + 4C y = 4xD y = 8x

4 Which equation best describes the functional relationship in the data set?

{(–3, –7), (0, –1), (2, 3)}

F y = –4x – 5 G y = –2x + 1H y = 2x – 1J y = 3x + 2

5 Amy bought items at a mall. She noticed that she paid $2.47 in taxes for a sweater that cost $38.00, $7.80 in taxes for a jacket that cost $120.00, and $5.20 in taxes for a pair of shoes that cost $80.00. What equation best describes this functional relationship? A y = 0.0065xB y = 0.065xC y = 0.65xD y = 6.5x

A.1(B) The student is expected to gather and record data and use data sets to determine functional relationships.

TAKS PracticeOBJECTIVE 1


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1 The table below outlines the cost of a monthly gym membership.

Number of Months (m) Total Cost (T )

0 $151 $452 $753 $1054 $135

Which equation best represents this relationship? A T = 45mB T = 30m + 25C T = 30m + 15D T = 15m

2 The Yellow Checker Cab Company in San

Antonio charges $1.70 for the fi rst 1 _ 6 of a

mile and then $1.80 per mile for each mile

after that to determine the total cost of the

trip, T. If M represents the total length of

a trip, which equation best represents this

relationship?

F T = 1.7 + 1.8M

G T = 1.7 + 1.8 ( M + 1 _ 6 ) H T = 1.7 + 1.8 ( M – 1 _ 6 ) J T = 1.8 + 1.7 ( M – 1 _ 6 )

3 A grocery store sells oranges by the crate. The empty crate weighs 1 kilogram. Each orange weighs at least 300 grams. Which inequality best describes the total weight in grams, w, of a crate of oranges in terms of g, the number of oranges in the crate? A w ≥ 300g – 1000 B w ≥ 300g +100C w ≥ 300g +1000D w ≥ 300g – 100

4 Suppose the total cost, C, of renting a car is $25 per day, plus an initial fee of $100. Which equation best describes this relationship if d represents the number of days the car is rented? F C = 100d – 25G C = 100d + 25H C = 25d – 100J C = 25d + 100

5 The temperature in degrees Fahrenheit,

F, is the sum of 9 _ 5 the temperature in

degrees Celsius, C, and the constant

32. Which equation best represents this

relationship?

A F = 9 _ 5 C + 32

B F = 9 _ 5 (C + 32)

C F = 9 _ 5 + C + 32

D F = 9 _ 5 (C – 32)

A.1(C) The student is expected to describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations.

TAKS Practice OBJECTIVE 1


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1 Which equation best represents the graph shown below?

y

xO

A y = 3 + 2xB y = 3 – 2xC y = 2 + 3xD y = 2 – 3x

2 Trinity Ranch, which is located near Dallas, offers monthly boarding for horses. The table below illustrates the cost of boarding for different intervals.

Number of Months (n)

Total Cost (T )

3 $900 8 $240012 $360018 $5400

Which equation best represents this functional relationship? F T = 900nG T = 600 + 100nH T = 300 + 200nJ T = 300n

3 The cost of developing fi lm, F, is $2.00 per roll and $0.25 per print, p. Which equation best represents this functional relationship? A F = 0.25 + 2.00pB F = 2.00p – 0.25C F = 2.00 + 0.25pD F = 2.00 – 0.25p

4 What is the best way to describe the functional relationship illustrated by the table below?

Cost to Repair a Car

Number of Hours Fee

0 $501 $1452 $2403 $335

F Cost to repair a car is based on a $50 garage fee and a $95 per hour labor fee.

G Cost to repair a car is based on a $95 per hour labor fee.

H Cost to repair a car is based on a $95 garage fee and a $50 per hour labor fee.

J Cost to repair a car is based on a $90 garage fee and a $55 per hour labor fee.


A.1(D) The student is expected to represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities.


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1 Which graph best represents the relationship between the volume of the sand in the bottom of an hourglass and the time that has passed since the hourglass was turned over? A

Vo

lum

e

Time

B

Vo

lum

e

Time

C

Vo

lum

e

Time

D

Vo

lum

e

Time

2 A park charges an entrance fee of $5 per car and $2 per passenger. Which equation best represents this relationship, where C is the total cost per car and p is the number of passengers? F C = 5p + 2G C = 5(2 + p)H C = 2p + 5J C = 5(2p)

3 An athlete runs at a rate of 3 meters per second around a 400-meter track. Which equation best represents the distance covered if he has already run 2 laps? A D = 400 + 3sB D = 800 + 3sC D = 800 + 6sD D = 800 – 3s

4 Certain employees of the Department of Homeland Security in the Dallas-Fort Worth area are paid weekly according to this function:

f (x) = 22.7x + 11.35(x – 40),

when x > 40 hours worked in a week.

What is the best interpretation of an employee’s earnings in this situation? F The employee earns $22.70 per hour

for all hours worked.G The employee earns $22.70 per hour

for all hours worked up to 40 hours.H The employee earns $11.35 per hour

for any hours worked over the weekly 40 hours.

J The employee earns $22.70 an hour for all hours worked plus an additional $11.35 per hour for any hours worked over 40 hours per week.


A.1(E) The student is expected to interpret and make decisions, predictions, and critical judgments from functional relationships.


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1 Which of the following equations is linear?

A y = 3x(x + 4)

B y = 3x + 4

C y = 3 _ x + 4

D y = 3x

2 Which of the following equations is quadratic? F y = x2 + 4G y = 2 + (3 – x)H y = 3 + xJ y = 5x + (2 – x)

3 Identify the linear function in the graph below.

y

xO

A y = –x – 1 B y = 1 – x C y = x – 1 D y = x + 1

4 Identify the quadratic equation in the graph below.

y

xO

F y = x2 + 3 G y = 3 – x2

H y = x2 – 3J y = –x2 – 3

5 The cost of renting a personal watercraft in Austin is displayed in the table below.

Number of Hours Cost

1 $552 $1103 $1654 $220

What linear function is identifi ed by the data in the table? A y = 5.5xB y = 11xC y = 55xD y = 110x

6 Identify the function that is NOT linear. F y = 2x H y = 3 – xG y = 2x J y = x + 4


A.2(A) The student is expected to identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parent functions.


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1 What is the domain of the following function?

y

xO

A –2 < x < 1.5B –2 ≤ x ≤ 1.5C –1 < y < 6D –1 ≤ y ≤ 6

2 What is the range of the following function?

y

xO

F 0 ≤ x ≤ 4G 0 < x < 4H –3 ≤ y ≤ 5J –3 < y < 5

3 What is the domain of the function represented by the data set?

{(–3, 5), (–1, 1), (1, –3)}

A {5, 1, –3}B {–3, –1, 1}C {–3, –1, 1, 5}D {–3, –1}

4 What is the range of the function represented by the table of values below?

x y

–5 –4–2 21 84 14

F {–5, –2, 1, 4}G y ≥ –4H {–4, 2, 8, 14}J y > –4

5 What is the range of the function y = x2 + 1? A x ≥ 1

B y ≥ 1

C x ≥ 0

D y ≥ 0

6 What is the domain of the function y = 2x2 – 4? F x � RG x ≥ 0 H x ≥ –4

J y ≥ –4


A.2(B) The student is expected to identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete.


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1 Which statement is NOT true for the graph below?

y

x

Co

st (

$)

4

2

0

678

9

10

3

1

5

1 2 3 4 5 6 7 8 9 10 Number of Tokens

Video Game Tokens

A Each token costs $1.B Five tokens cost $5.C You can purchase 20 tokens for $20.D You can purchase 7.5 tokens for $7.50.

2 What statement is true for the graph below?

y

x

Earn

ing

s ($

)

400

200

0

300

100

500

1 2 3 4 5 6 7 8Sales (Thousands of $)

Salesperson’s Earnings

F Ms. Anderson earns $350 when she sells $5000 in merchandise.

G Mr. Gowan makes $50 even if he sells nothing.

H Ms. Kuhn earns $100 per $1000 in sales.

J Mr. Peters earns $8000 when he sells $500 in merchandise.

3 What situation corresponds to the graph below?

y

xO 42 8 106

1020304050607080

A The distance traveled by a car from home to work.

B The path of a ball thrown into the air.C The amount a salesperson earns with

respect to total sales.D The depth of a submarine with respect

to time.

4 Which statement is true for the graph below?

y

x

Loan

Am

ou

nt

(Do

llars

)

2000

1000

0

3000 3500 4000

4500

5000

1500

500

2500

1 2 3 4 5 6 7 8 9 10 Months

Loan Repayment

F The loan will be repaid in less than 1 year.

G The loan is being repaid at $400 per month.

H The loan will be 50% paid in 6 months.J The person who took out the loan will

owe more than $2500 after 6 months.


A.2(C) The student is expected to interpret situations in terms of given graphs or create situations that fi t given graphs.


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1 Andrew owns a farm. He collects data on the effect of different amounts of fertilizer on the yield of carrots on his farm. He plots the data on the graph below.

y

x

Yie

ld (

ton

s)

0.8

0.4

0

0.6

0.2

1

1.2

0.5 1 1.5 2Fertilizer (kgper hectare)

Effects of Fertilizeron Carrot Yield

How much fertilizer should Andrew use to achieve the best results? A 2.0 kg C 1.0 kgB 1.25 kg D 0.5 kg


y

x

Co

st (

$)

8

4

0

12 14 16

6

2

10

1 2 3 4 5 6 7 8 9Bushels of Apples

F Every bushel costs the same.G Four bushels should cost $3.H Five bushels should cost $8.J Eight bushels should cost less than $14.

3 Total fi eld goals made and attempted for the Texas A&M Aggies are plotted on the graph below.

y

x

Fiel

d G

oal

s M

ade

80

40

0

60

20

100

20

40 60 80 100

120

140 16

0 18

0

Field Goals Attempted

Given this relationship, how many fi eld goals would you expect a player to make if he attempts 140? A 82 C 50B 63 D 34

4 What type of correlation can be seen in the scatterplot below?

y

x

8

4

0

12 14 16 18

6

2

10

2 4 6 8 10 12 14

F strong positive linear relationshipG weak positive linear relationshipH strong negative linear relationshipJ There is no evidence of a positive or

negative linear relationship.


A.2(D) The student is expected to collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations.


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1 A class consists of 15 girls and 12 boys. The girls have an average of x points on a test and the boys have an average of y points. Which expression gives the average test score per student for the entire class?

A 27(15x + 12y)

B 27 _ 15x + 12y

C 15y + 12x

_ 27

D 15x + 12y

_ 27

2 Paula earns x per hour in her job working at a clothing store. If she receives a 10% raise, what is her new hourly rate? F x + 1xG x + 0.1xH x + 0.01xJ x + 0.001x

3 The Austin Museum of Art charges an admission fee of $5 for adults and $4 for students. Which expression describes the average cost per person for a group of 45 people with x adults and y students?

A 45(5x + 4y) C 5x + 4y

_ 45

B 45 _ 5x + 4y

D 4x + 5y

_ 45

4 David is taking orders for shirts and sweaters from his football team. The order includes 22 T-shirts that cost x and 38 long sleeve shirts that cost y. Which expression describes the cost of the entire order?

F 22x + 38y

_ 60

G 38x + 22y

_ 60

H 22x + 38y

J 60(22x + 38y)

5 Samantha is having a party for 75 people. The catering cost is $18 per person. By adding x more people to the guest list, she will decrease the catering cost by $y per person. Which expression gives the total cost of the party? A (75 + x)(18 + y) B (75 + x)(18 – y)C (75 – x)(18 + y)D (75 – x)(18 – y)

6 Michael is taking a group of 25 children on a trip to the zoo. He purchases a bottle of water for $x and a sandwich for $y for each child in the group. Which expression describes the total cost of his purchases?

F 25xy H 25 _ x + y

G x + y

_ 25

J 25(x + y)


A.3(A) The student is expected to use symbols to represent unknowns and variables.


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1 Which of the following expressions will always produce an even integer for any given integer n? A 2n – 1B 3n + 1C n + 1D 2n

2 Chris wants to count the total number of feet of humans and dogs at the local dog show. Which expression describes the number of feet if there are x people and y dogs? F 2x + 4yG 2(x + y)H 4x + 2yJ 4(x + y)

3 Which of the following expressions will NOT produce an odd integer for every integer n? A 3nB 2n + 1C 2n – 1D 2n + 3

4 The prices of one-way bus tickets from Dallas to Houston are shown in the chart.

Number of Tickets

2 3 4 5

Adult $75.00 $112.50 $150.00 $187.50Child $46.00 $69.00 $92.00 $115.00

Which of the following expressions represents the cost of a adults and c children? F a(37.5 + 23)G 37.5(a + c)H 37.5a + 23cJ 23a + 37.5c

5 Which of the following expressions is always divisible by 3n?

A 38nB 45nC 73nD 112n

6 Which of the following expressions will NOT produce a result of 420 for a specifi c integer n? F 3nG 9nH 12nJ 14n


A.3(B) The student is expected to look for patterns and represent generalizations algebraically.


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1 The area of a rectangle is 6x2 – x – 12 and the width is 2x – 3. Which expression best represents the rectangle’s length? A 4x – 3B 4x + 3C 3x – 4D 3x + 4

2 The side length of a square is 4x – 3. Which expression best represents the area of the square in simplest terms? F 16x2 – 24x + 9G 16x2 – 24x – 9H 16x2 + 24x - 9J 16x2 + 24x + 9

3 Simplify the polynomial expression. (3x2 – 4x + 6) – (5x2 – 5x + 3)

A 8x2 + x + 3B 2x2 + x + 3C –2x2 + x + 3D –2x2 – 9x + 3

4 The Lost Alaskan RV Park offers plenty of room for parking and camping. Each space is 3x feet long and x + 5 feet wide. What are the dimensions of the space if the area is 3150 square feet? F 105 ft × 30 ftG 90 ft × 35 ftH 63 ft × 50 ftJ 50 ft × 63 ft

5 Factor the expression –8x2 + 22x – 15. A (2x + 3)(5 – 4x)B (2x – 3)(5 – 4x)C (4x + 5)(2x – 3)D (3 – 2x)(5 – 4x)

6 The base of a triangle is 2x – 3 and the height is 4x + 1. Which expression best represents the area of the triangle in simplest terms?

F 4x2 – 5x – 3

G 4x2 – 5x – 3 _ 2

H 8x2 – 5x – 3 _ 2

J 8x2 – 5x – 3

7 The length and width of a rectangle are given by x + a and x – a. Which expression best represents the area of the rectangle? A x2 – 2ax + a2

B x2 + a2

C x2 – a2

D x2 + 2ax – a2

A.4(A) The student is expected to fi nd specifi c function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations.


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1 Simplify the algebraic expression.

2(x + 4) + 3(3 – x)

A –x + 17B x + 17C x – 17D 5x + 7


(x + 3)(x – 4) – 5x(x + 2)

F 4x2 – 11x – 12G –4x2 – 11x – 12H –4x2 – 11x + 11J –6x2 – 11x – 12

3 Which expression is equivalent to 3(x2 – 2x) + 2x(4x – 1)? A 7x2 – 6xB 8x2 – 8xC 11x2 – 6xD 11x2 – 8x

4 The area of a rectangle is 12x2 + x – 6. What are the factors of this trinomial? F (4x + 3)(3x – 2)G (4x – 3)(3x + 2)H (6x + 1)(x – 6)J (6x – 3)(x + 6)


(2x – 3) (x2 – 3x – 4)

A 2x3 – 9x2 + x – 12 B 2x3 – 9x2 + x + 12 C 2x3 + 8x2 – x – 12 D 2x3 – 3x2 + x – 12

6 Simplify the expression.

x(x – 4)2 – 3x(3 – 2x)

F x3 – 17x2 + 10xG x3 – 2x2 + 7xH x3 – 2x2 – 7xJ x3 + 2x2 + 7x

7 Simplify the expression.

2x2 + 14x – 3x2 + 12x

A 2x2 + 14x – 3x2 + 12xB –x2 + 26xC 5x2 + 14x + 12D x2 – 26x


A.4(B) The student is expected to use the commutative, associative, and distributive properties to simplify algebraic expressions.


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1 Which of the following situations can be represented by a linear function? A the price of oil with respect to timeB the income of a salesperson as a

function of total salesC the distance traveled by a student to

and from schoolD the height of a tree with respect to the

amount of rainfall

2 Which of the following situations CANNOT be represented by a linear function? F the repayment of a loan with respect

to timeG the height of a burning candle with

respect to timeH distance traveled with respect to time

at a constant speedJ rabbit population with respect to time

3 Which of the following situations CANNOT be represented by a linear function? A outside temperature as a function of the

time of dayB gallons of paint required as a function

of the length of the fence to be paintedC bushels of corn harvested as a function

of the number of acres plantedD seeds sown as a function of the length

of the row

4 Which of the following situations can be represented by a linear function? F the area of a circular corral with respect

to its circumferenceG the weight of a ship with respect to its

lengthH the weight of a dog with respect to its

ageJ the amount collected at a toll booth

with respect to the number of cars

5 In the table below, which is the missing value that would result in creating a linear function?

x y

–2 40 22

A 2B 1C 0D –1

6 Identify the situation that can be represented by a linear function. F a bathtub is being fi lled with waterG a stone is dropped down a wellH a pie is left to cool on the window sillJ a commuter drives through the city

during rush hour


A.5(A) The student is expected to determine whether or not given situations can be represented by linear functions.


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1 Which function fi ts the data set below?

{(–3, –11), (1, –3), (5, 5)}

A y = x – 8B y = 2x – 5C y = 3x – 2 D y = 4x + 1

2 Which equation describes a line having a slope of –2 and a y-intercept of 7? F y = –2x – 7G y = –2x + 7H y = 2x + 7J y = 7x – 2

3 Which equation fi ts the data in the table below?

x y

–4 20 46 7

A y = 4 – 1 _ 2 x

B y = 4x + 1 _ 2

C y = x + 6

D y = 1 _ 2 x + 4

4 What equation is shown in the following graph?

y

xO

F y = 1 _ 4 x – 5

G y = – 1 _ 4 x + 5

H y = 1 _ 4 x + 5

J y = – 1 _ 4 x – 5

5 A library at the University of Texas offers a faxing service. It costs $1.00 plus $0.20 per page to fax items domestically. Which equation describes this linear function where total cost is y and number of pages is x? A y = x + 0.2B y = 0.2xC y = 0.2x + 1D y = 1.2x

6 Which equation describes a line that has a

slope of 4 _ 5 and a y-intercept of 2 _ 5 ?

F 5y + 4x = 2G 5y – 4x = 2H 4x – 5y = 2J –5y – 4x = 2


A.5(C) The student is expected to use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions.


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1 What is the slope of the line containing the points shown in the table?

x y

–5 –4–1 –23 0

A –2

B – 1 _ 2

C 1 _ 2

D 2

2 What is the slope of the line

y = 1 _ 3 – 4 _ 3 x?

F – 4 _ 3

G – 1 _ 3

H 1 _ 3

J 4 _ 3

3 Which equation has a slope of –3? A 2y + 6x = 1B 2y – 6x = 1C 2x + 6y = –1D 6x – 2y = 1

4 What is the slope of the line in the graph below?

y

xO

F – 4 _ 3

G – 3 _

4

H 3 _ 4

J 4 _ 3

5 The Galveston Island Trolley weighs 63,000 pounds. It travels 25 miles per hour on 6.7 miles of track and costs $0.60 for adults and $0.30 for children. What is the slope of the equation that describes the distance traveled by the trolley over a period of time?

A 0.3B 0.6C 6.7D 25

6 Which shows the slope of a line with an

x-intercept of 5 _ 2 and a y-intercept of –4?

F 5 _ 2

G 8 _ 5

H 2 _ 5

J – 8 _ 5


A.6(A) The student is expected to develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations.


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1 The graph shows the distance to the destination to be traveled by a car from the time the driver leaves home to the time he reaches the destination. Which of the following best describes the slope of the line segment?

y

xDis

tan

ce (

km) 200

100

0

150

50

1 2 3 4 5 6 7Time (h)

A The car is traveling at 60 km/h.B The car is traveling at 40 km/h.C The car is traveling at 30 km/h.D The car is traveling at 20 km/h.

2 The Texas Motor Speedway in Fort Worth is 1.5 miles long and often sees qualifying speeds of 192 miles per hour. Suppose a race is 500 laps, and the driver maintains a constant speed throughout the race. If the y-intercept is 750 miles and the x-intercept is 234 minutes, what is the meaning of the slope –3.2? F The car drives at 32 miles per hour.G The car drives at 3.2 miles per hour.H The car drives at 3.2 miles per minute.J The car drives at 0.32 miles per second.

3 Samuel runs around a 100-meter track. He uses the linear equation y = 200 + 5x to describe how far he runs after he has already jogged for 2 laps. Which of the following best describes the slope of the linear equation? A Samuel runs at a rate of 5 m per 2

seconds.B Samuel runs at a rate of 5 m per

second.C Samuel runs at a rate of 7.5 m per

second.D Samuel runs at a rate of 10 m per

second.

4 Sharon has a $25.00 gift card from the local video store. The table below shows the balance, b, remaining on her gift card after n rentals. What is the meaning of the x-intercept?

n b

0 $252 $206 $10

10 $0

F Sharon’s card is depleted after 10 rentals.

G Sharon has $25.00 on her gift card.H Each rental is $2.50.J Sharon has no money left on her card

after 25 rentals.


A.6(B) The student is expected to interpret the meaning of slope and intercept in situations using data, symbolic representations, or graphs.


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1 How would the graph of y = 4x + 3 change if the y-intercept is changed to –2? A The graph would move 5 units down.B The graph would move 5 units up.C The slope of the line would increase.D The slope of the line would decrease.

2 How would the graph of y = -2x + 5 change if the value of m were changed to –4? F The line would move 2 units down.G The line would move 2 units up.H The magnitude of the slope of the line

would decrease.J The magnitude of the slope of the line

would increase.

3 Consider the linear equation with x-intercept 2 and y-intercept 3. How would the slope of the line change if the x-intercept were changed to 3?

A The slope of the line would change

from – 2 _ 3 to –1.

B The slope of the line would change

from – 2 _ 3 to –

1 _ 3 .

C The slope of the line would change

from – 3 _ 2 to –2.

D The slope of the line would change

from – 3 _ 2 to –1.

4 How would the graph of y = 3 _ 4 x + 1 _ 4

change if the slope were changed

to – 4

_ 3 ?

F The graph of the line would shift 1 unit down.

G The graph of the line would shift 1 unit up.

H The graph of the line would become less steep.

J The graph of the line would become perpendicular to the original line.

5 How would the graph of y = 1 _ 2 x + 3

change if the value of b were changed

to – 1 _ 2 ?

A The line would move 3.5 units to the left.

B The line would move 3.5 units to the right.

C The line would move 3.5 units down.

D The line would move 3.5 units up.

6 What would happen to the graph of the

line y = 5 – 2 _ 3 x if the y-intercept were

changed to –2?

F The line would move up 7 units.G The line would move down 7 units.H The line would move 7 units to the left.J The line would move 7 units to the right.


A.6(C) The student is expected to investigate, describe, and predict the effects of change in m and b on the graph of y = mx + b.


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1 Which equation describes a line that has a

y-intercept of 3 and a slope of 4 _ 3 ?

A y = 3x + 4 _ 3

B y = 3x – 4 _ 3

C y = 4 _ 3 x + 3

D y = 4 _ 3 x – 3

2 What is the equation of the line shown in the graph below?

y

xO

F y = 1 _ 2 x + 3 _ 2

G y = 1 _ 2 x – 3 _ 2

H y = 3 _ 2 x + 1 _ 2

J y = 3 _ 2 x – 1 _ 2

3 Determine the equation of the line with a slope of 3 that passes through the point at (–2, –4). A y = 3x – 2B y = 3x + 4C y = 3x – 4D y = 3x + 2

4 What is the equation of the line that passes through the points of (3, 3) and (–2, 6)?

F y = – 3 _ 5 x + 24

_ 5

G y = – 3 _

5 x – 24

_ 5

H y = 3 _ 5 x + 24

_ 5

J y = 3 _ 5 x – 24

_ 5

5 Which equation describes a line having a

slope of –2 and a y-intercept of 2 _ 3 ?

A y = –2x + 2 _ 3

B y = 2 _ 3 x – 2

C y = 2x – 2 _ 3

D y = 2 – 2 _ 3 x

6 The distance from Abilene to Amarillo is about 285 miles. Which of the following equations describes the distance from Amarillo of a car that travels from Abilene at a rate of 50 miles per hour? F y = 285 + 50xG y = 285 – 50xH y = 50 + 285xJ y = 50 – 285x


A.6(D) The student is expected to graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept.


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1 What are the x- and y-intercepts of the function graphed below?

y

xO

A (0, 3) and (6, 0)B (0, 3) and (0, 6)C (3, 0) and (6, 0)D (3, 0) and (0, 6)

2 What are the x- and y-intercepts of the function according to the data in the table below?

x y

–6 –10 33 5

F (–4.5, 0) and (3, 0)G (–4.5, 0) and (0, 3)H (0, –4.5) and (3, 0)J (0, –4.5) and (0, 3)

3 What are the x- and y-intercepts of the

linear function y = 3 _ 4 – 1 _ 2 x?

A (0, 1.5) and (0, 0.75)B (0, 1.5) and (0.75, 0)C (1.5, 0) and (0, 0.75)D (1.5, 0) and (0.75, 0)

4 What is the y-intercept of the function based on the data in the table below?

x y

–5 –8–1 –23 4

F (–0.5, 0)G (0, –0.5)H (0, 0.5)J (0.5, 0)

5 What is the x-intercept of the function graphed below?

y

xO

A ( 7 _ 2 , 0 ) C ( 0, 7 _ 2 )

B ( 7 _ 3 , 0 ) D ( 0, 7 _ 3 )

6 What are the x- and y-intercepts of the linear function 2x – 3y = 12? F (–6, 0) and (0, 4)G (–6, 0) and (0, –4)H (6, 0) and (0, 4)J (6, 0) and (0, –4)


A.6(E) The student is expected to determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations.


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1 Andrew climbs down a rope ladder on the side of a building. His progress can be graphed according to the linear equation y = 200 – 3x, where x is measured in seconds and y is measured in feet. What happens when the slope is changed to –4? A Andrew increases his rate of ascent to

4 feet per second.B Andrew increases his rate of ascent to

3 feet per second.C Andrew increases his rate of descent to

4 feet per second.D Andrew decreases his rate of descent to

3 feet per second.

2 Which situation would be refl ected in the graph by changing the y-intercept to 200 without changing the slope of the line ?

y

x

Earn

ing

s ($

)

400

200

0

600700

300

100

500

2 4 6 8 10 12 14 Sales (Thousands of $)

F The salesperson’s base salary decreases to $200.

G The salesperson’s base salary increases to $200.

H The salesperson receives a higher rate of payment per sale.

J The salesperson receives a lower rate of payment per sale.

3 The Dallas Opera allows subscribers to purchase balcony economy seats on a monthly payment plan. Sunday matinee seats cost $95 each. Four seats cost $380 and can be repaid at $20 per month (x). The amount remaining on the loan (y) can be represented by the linear equation:

y = 380 – 20x.

What will happen if the monthly payment is changed to $30? A It will take less time to repay the loan.B It will take more time to repay the loan.C It will not have an effect on the time to

repay the loan.D It will increase the size of the loan.

4 A linear equation is used to represent Jon driving his car from home to work at a constant rate of speed. What happens when the slope of the equation increases? F Jon increases his driving distance.G Jon decreases his driving distance.H Jon increases his driving speed.J Jon decreases his driving speed.

5 A linear equation is used to represent the altitude of a balloon that rises from the ground at a constant speed. What happens when the y-intercept is increased? A The balloon’s rate of ascent

is increased.B The balloon’s rate of ascent

is decreased.C The initial altitude of the balloon

is increased.D The initial altitude of the balloon

is decreased.


A.6(F) The student is expected to interpret and predict the effects of changing slope and y-intercept in applied situations.


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1 Jenny tracks the amount of money raised for the school fund-raiser in the table below.

Number of Tickets Sold

Money Raised

10 $2030 $6050 $100

At this rate, how much money will Jenny raise for the fund-raiser if she sells 200 tickets? A $200B $400C $600D $800

2 Houston’s Memorial Park is one of the largest urban parks in the state. A runner records his rate of speed along the fi rst mile of a 6-mile path that winds through the park.

Distance Time(seconds)

1 _ 4 mile 120

1 _ 2 mile 240

3 _ 4 mile 360

If the runner continues at this pace for the entire course, how long will it take to complete his run? F 30 minG 36 minH 42 minJ 48 min

3 The following graph illustrates how much Francis earns by selling custom tote bags at the mall.

y

x

Sale

s ($

) 400

200

0

300

100

500

2 4 6 8 10 Number of Tote Bags

At this rate, how much would Francis earn if he sold 60 tote bags? A $1900B $2200C $2500D $2700

4 Collette starts a small graphic design business. She creates advertising materials. She charges $45 per hour for each project, as well as a setup fee of $50. Through the fi rst 4 weeks of her new business, she averaged 2 projects per week and 12 hours per project. If this pattern continued for 50 weeks of the year, how much would she make? F $29,500G $43,600H $59,000J $69,120

A.6(G) The student is expected to relate direct variation to linear functions and solve problems involving proportional change.



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1 A hot air balloon is launched from a height of 100 feet above sea level. If the balloon rises at a constant rate of 60 feet per minute, which equation could be used to determine t, the time in minutes it will take the balloon to reach a height of 850 feet above sea level? A 100 = 850 + 60tB 850 = 100 – 60tC 850 = 100 + 60tD 850 = 100t + 60

2 A mountain climber is 760 feet above sea level. He climbs down the side of a mountain at a constant rate of 30 feet per minute. Which equation could be used to determine h, the mountain climber’s height above the ground after t minutes of descent? F h = 760 + 30tG h = 760 – 30tH h = 760(30 – t)J h = –760 + 30t

3 Philip has a summer job picking berries. He earns $20 for the day and $5 per bushel of berries picked. Which equation represents T, the amount that Philip earns for a day of picking b bushels of berries? A T = 5(20 + b)B T = 5 + 20bC T = 20 + 5bD T = 20(5 + b)

4 Erin has to purchase a plastic cooler and some cold beverages for a trip to the beach. She knows that the cooler costs $8.00 but there are several different options, sizes, and costs of drinks to choose from. The maximum price of any drink is $1.25. Which inequality could be used to determine C, the cost of purchasing the cooler and n drinks? F C ≤ 8 + 1.25nG C < 8 + 1.25nH C ≥ 8 + 1.25nJ C > 8 + 1.25n

5 A standard wheel excavator can lift up to 0.35 cubic meters of rock. A dump truck can hold 14.0 cubic meters of rock. Which equation describes L, the amount of space available on the dump truck after n excavated loads? A L > 14 - 0.35nB L ≥ 14 - 0.35nC L ≤ 14 - 0.35nD L < 14 - 0.35n

6 Colorado State Bend Park has 12.3 miles of hiking trails. The average hiker travels at a slightly faster pace than 1.7 miles per hour. Which equation could be used to determine d, the distance from the end of the path after n hours? F d > 12.3 + 1.7nG d < 12.3 + 1.7nH d < 12.3 – 1.7nJ d > 12.3 – 1.7n


A.7(A) The student is expected to analyze situations involving linear functions and formulate linear equations or inequalities to solve problems.


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1 If (x, 3) is a solution to the equation 2x + 5y = 9, what is the value of x? A –8B –4C –3D 3

2 The graphs of the linear equations y = 5 – 2x and y = 2x + 3 are shown below.

y

xO

If 5 – 2x = 2x + 3, what is the value of x?

F –4 H 1 _ 2

G – 1 _ 2 J 4

3 What is the solution to the linear equations

y = 1 _ 4 x + 5 and y = 2 – 1 _ 2 x?

A (–4, –4)B (–4, 4)C (4, –4)D (4, 4)

4 The graph of the linear equation

y = 3 – 2 _ 3 x is shown below.

y

xO

Which point is in the solution set

y ≤ 3 – 2 _ 3 x?

F (–2, 5)G (0, 4)H (1, 1)J (4, 3)

5 If (2, y) is a solution to the equation6x – 3y = –8, what is the value of y?

A 8

B 7

C 20 _ 3

D – 20

_ 3

6 Which point is NOT in the solution set

of y ≥ 8 – 4 _ 3 x?

F (5, 2)G (4, 4)H (2, 5)J (1, 7)


A.7(B) The student is expected to investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities.


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1 The Record Store pays $2.50 per CD brought in for resale. Dan has a large collection that he wants to clear out in order to make room for new CDs. What is a reasonable number of CDs that he must sell if he wants to make $400 to buy new ones? A 120B 140C 150D 160

2 In 2000, the town of Little Elm registered 3646 residents. Five years later, that number swelled to 17,150 residents. If the population continues to grow at this rate, about how many residents will the town have in 2010? F 20,800G 27,000H 30,700J 35,400

3 Arturo and his friends are picking up trash in parks and other public places in order to make their neighborhood a more beautiful place to live. Within 1 week, they collect 85 bags of garbage. What is a reasonable number of bags to be collected for one month? A 340B 440C 540D 640

4 Lisa is part of the Meals on Wheels program, where she brings home-cooked meals to the elderly and people who cannot leave their homes. She delivers 7 meals per day. How many weeks would it reasonably take her (excluding weekends) to deliver 100 meals? F 3 weeksG 4 weeksH 5 weeksJ 6 weeks

5 Ian is practicing for a race by running around a 400-meter oval track. He can complete one lap in 63 seconds. If he were able to keep up this pace for a full 10 kilometers, how long would it reasonably take for him to complete the race? A 25 min 30 secB 26 min 15 secC 28 min 45 secD 33 min 15 sec

6 Andrea and her class are raising money for a local charity by selling friendship bands for $3.50 each. If the class wants to raise $500, what is a reasonable number of friendship bands that must be sold? F 75G 100H 125J 150


A.7(C) The student is expected to interpret and determine the reasonableness of solutions to linear equations and inequalities.


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1 Fiona owns 80 DVDs. The number of action/adventure DVDs is 8 less than twice the number of comedy DVDs. Which system of equations describes Fiona’s total number of action/adventure DVDs, a, and comedy DVDs, c? A a + c = 80 a + 2c = 8B a + c = 80 a = 2c + 8C 80 + a = c a = 2c – 8D a + c = 80 a = 2c – 8

2 The Bob Bullock Texas State Museum charges $4.50 for adults and $3.50 for youths to tour the exhibits. A tour group with 10 more youths than adults paid $155.00. Which system of equations could be used to fi nd the number of adults, a, and youths, y, that were in the tour group? F a – 10 = y 4.5a + 3.5y = 155G a + 10 = y 4.5a + 3.5y = 155H a + 10 = y 4.5y + 3.5a = 155J a + y = 10 4.5a + 3.5y = 155

3 Pizza Pizzazz sells pizza slices for $2.50 and pizza pockets for $3.50. During a one-day promotion, the pizza place sold 35 more pizza slices than pizza pockets and made $825.50. Which system of equations could be used to fi nd the number of pizza slices, s, and pizza pockets, p, sold that day? A s + p = 35 2.5s + 3.5p = 825.5B s = 35 – p 2.5s + 3.5p = 825.5C s = 35 + p 2.5s + 3.5p = 825.5D s = 35 + p 3.5s + 2.5p = 825.5

4 Rick has a collection of 898 college sports cards. There are 15 more than three times the number of football cards as basketball cards. Which system of equations can be used to determine the number of football cards, f, and basketball cards, b, in his collection? F f + b = 898 3f = b + 15G f + b = 898 f = 3b – 15H f + b = 898 f = 3b + 15J f = 898 + b f = 3b + 15


A.8(A) The student is expected to analyze situations and formulate systems of linear equations in two unknowns to solve problems.


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1 How do the graphs of the functions f (x) = x2 + 3 and g (x) = x2 – 1 relate to each other? A The graph of f (x) is 4 units to the left of

the graph of g (x).B The graph of f (x) is 4 units to the right

of the graph of g (x).C The graph of f (x) is 4 units below the

graph of g (x).D The graph of f (x) is 4 units above the

graph of g (x).

2 The graph of f (x) is shown below. What value of c will move the graph up 6 units?

y

xO

F 12G 9H 6J 3

3 Which function is 4 units above the graph of f (x) = x2 – 3 ? A g (x) = x2 + 1B h(x) = x2 + 4C j(x) = x2 – 7D k(x) = x2 + 7

4 Which of the following statements is true for the graph below?

y

xO

F y = x2 + c when c > 5G y = x2 + c when c ≤ 5H y = x2 + c when c = 5J y = x2 + c when c < 5

5 How do the graphs of the functionsf (x) = x2 – 9 and g (x) = x2 – 7 relate to each other? A The graph of f (x) is 2 units above the

graph of g (x).B The graph of f (x) is 2 units below the

graph of g (x).C The graph of f (x) is 2 units to the left of

the graph of g (x).D The graph of f (x) is 2 units to the right

of the graph of g (x).

6 How do the graphs of the functions f (x) = x2 – 5 and g (x) = x2 + 4 relate to each other? F The graph of g (x) is 9 units above the

graph of f (x).G The graph of g (x) is 9 units below the

graph of f (x).H The graph of g (x) is 1 unit above the

graph of f (x).J The graph of g (x) is 1 unit below the

graph of f (x).


A.9(C) The student is expected to investigate, describe, and predict the effects of changes in c on the graph of y = ax2 + c.


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1 Which expression best represents the area of a square with sides 3xy2? A 6x2y4

B 6x2y2

C 9x2y2

D 9x2y4

2 If y = x3, what is equivalent to x9? F 3yG x3

H y3

J y6

3 Which expression is equivalent

to (4x3)(3x5)

_ 2x4 ?

A 3x8

B 6x4

C 6x8

D 12x6

4 Which expression best represents the area of a rectangle with length 4x3y2 and width 3x2y? F 12x3y3

G 12x6y2

H 12x5y3

J 12x5y2

5 Which expression is equivalent

to (7x2y2)(8x3y4)

_ 4x4y5 ?

A 14x2yB 14xy2

C 14xyD 28xy

6 If y = 2x3, what is equivalent to y4? F 8x7

G 8x12

H 16x7

J 16x12

7 Which expression best represents the volume of a cube with sides 2xy? A 8x3y3

B 6x3y3

C 4x3y3

D 2x3y3


A.11(A) The student is expected to use patterns to generate the laws of exponents and apply them in problem-solving situations.


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1 �ABC has vertices A(1, 3), B(5, 3), and C(3, 1).

y

xOC

BA

�ABC is dilated by a scale of 3 and has the origin as the center of dilation. What are the coordinates of C ′? A (15, 9)B (9, 15)C (9, 3)D (3, 9)

2 �DEF ∼ �XYZ is shown below.

E

F

D

X

Y

Z

5

6

12

7.5

Which scale factor was used to transform �DEF to �XYZ? F 0.75G 1.5H 2J 2.5

3 �KLM ∼ �PQR is shown below.

P

RQ

L

K

M

1214

10

If �KLM is dilated by a scale factor of 3 _ 4

to create �PQR, then what is the length

of PR? A 7.5 unitsB 9 unitsC 10.5 unitsD 12 units

4 Parallelogram ABCD has vertices A(–8, 1), B(–5, 3), C(–2, 1), and D(–5, –1).

y

xO

C

D

B

A

ABCD is dilated by a scale of 1 _ 2 and has

the origin as the center of dilation. What

are the coordinates of B′?

F ( - 5 _ 2 ,

3 _ 2 ) H ( 5

_ 2 , 3 _ 2 )

G ( - 5

_ 2 ,- 3 _ 2 ) J ( 5

_ 2 ,- 3 _ 2 )


8.6(A) The student is expected to generate similar shapes using dilations including enlargements and reductions.


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1 �ABC is shown below.

y

xOA

B

C

If �ABC is translated 3 units left and 4 units down, what are the coordinates of A′? A (–3, –5)B (–3, 3)C (–1, –8)D (0, –1)

2 �DEF is shown below.

y

xO

E

F

D

If �DEF is refl ected in the y-axis, what are the coordinates of F′? F (–2, –1)G (–2, 1)H (2, –1)J (2, 1)

3 Quadrilateral ABCD is shown below.

y

xO

CD

A B

If ABCD is refl ected in the x-axis, what are the coordinates of C′? A (3, 3)B (3, –3)C (–3, 3)D (–3, –3)

4 �ABC is shown below.

y

xO

CA

B

�ABC is dilated by a scale of 2 and has the origin as the center of dilation. What are the coordinates of C′? F (2, 2)G (4, 4)H (6, 6)J (8, 8)


8.6(B) The student is expected to graph dilations, refl ections, and translations on a coordinate plane.


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1 Which point on the grid below satisfi es the conditions x > 2.5 and y < 4.5?

y

xO

ZX

W Y

A WB XC YD Z

2 �ABC is translated so that A is mapped to A′.

y

xO

C

A

B

A'

Which coordinate pair best represents B′ ? F (0, 1)G (0, 2)H (1, –4)J (3, –2)

3 Which of the following points is located at (2, –3)?

y

xO

Q

P

R

S

A PB QC RD S

4 Which point on the grid below satisfi es the conditions x < –3.9 and y > 2.1?

y

xO

A B

D

C

F AG BH CJ D

5 The points W (–4, 3), X (3, –5), Y (2, 6), and Z (–3, –1) are plotted on a coordinate plane. Which point is in the second quadrant? A point ZB point YC point XD point W


8.7(D) The student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.


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1 The drawing below shows a 3-dimensional solid.

Which best represents the shape of the solid from the top? A pyramidB rectangleC squareD triangle

2 How many faces are NOT visible in the 3-dimensional solid below?

F 4G 5H 6J 7


Which best represents the shape of the solid from the back? A octagonB heptagonC pentagonD hexagon

4 Consider the following 2-dimensional representation of a 3-dimensional solid.

Which 3-dimensional fi gure does the diagram above NOT represent? F a pyramid with a square base viewed

from belowG a cube viewed from aboveH a prism with a square base viewed

from aboveJ a pyramid with a triangular base viewed

from the right


8.7(A) The student is expected to draw three-dimensional fi gures from different perspectives.


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1 Alexia is putting new wooden fl ooring in her family room, which measures 20 feet by 18 feet. If the fl ooring costs a total of $4.50 per square foot, how much will it cost to install the new fl oor? A $1458.00B $1620.00C $1800.00D $2054.00

2 The Frost Bank Tower in Austin is 157 meters tall. Daryl wants to create a scale drawing of the building on a sheet of paper that is 28 centimeters tall. What scale can he use to fi t the drawing on the sheet?

F 1 _ 600

G 1 _ 450

H 1 _ 300

J 1 _ 200

3 Shai swims north 75 feet out into the middle of a lake and then swims 55 feet east to a fl oating dock. About how far is she from her original starting point? A 55 ftB 75 ftC 81 ftD 93 ft

4 A 48-foot ladder is leaning against the wall of a building. The top of the ladder is touching the ledge of a window that is 45 feet off the ground. About how far is the base of the ladder from the wall? F 2.0 ftG 4.0 ftH 13.6 ftJ 16.0 ft

5 The diagram below is an illustration of a skateboard ramp. It consists of two trapezoidal pieces of wood for the sides, plus 4 rectangular pieces: 2 equal pieces for the ramps; 1 for the top; and 1 for the base. How much wood is required to build the ramp?

0.75 m

2.6 m

0.75 m 8 m

3 m

A 14.4 m2 B 18.45 m2 C 20.4 m2 D 30.15 m2

6 Brandon wants to fi nd the area of a circular clearing in the woods to determine if there is enough space for a campout with his friends. He fi nds that the diameter of the clearing is 12 feet. What is its approximate area? F 18.8 ft2 G 113.1 ft2 H 144.0 ft2 J 452.4 ft2


8.7(B) The student is expected to use geometric concepts and properties to solve problems in fi elds such as art and architecture.


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1 A 30-foot ladder is leaning against a wall. The base of the ladder is 12 feet away from the wall. About how high up the wall is the ladder?

12 ft

30 ft

A 25.7 ftB 27.5 ftC 30.0 ftD 32.3 ft

2 A farmer has a square fi eld with a perimeter of 150 meters. The fence will run diagonally from one corner of the fi eld to the other. About how much fencing does the farmer need?

F 37.5 mG 53.0 mH 67.5 mJ 73.0 m

3 Lucas is building the roof of a house and needs to determine the height of the central support. The measurements are shown in the diagram below. About how tall is the central beam?

25 ft

45 ft

A 12.8 ftB 12.2 ftC 11.3 ftD 10.9 ft

4 The following diagram shows 3 square plots of land that surround a triangular park area.

C

B

A

If the area of Plot A is 900 square meters and the area of Plot B is 1600 square meters, what is the area of Plot C? F 700 m2

G 900 m2 H 1600 m2 J 2500 m2


8.7(C) The student is expected to use pictures or models to demonstrate the Pythagorean Theorem.


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1 The net of a cube is shown below.

1.75 in.

Find the surface area of the cube to the nearest square inch. A 16 in.2 B 17 in.2

C 18 in.2

D 19 in.2

2 Consider the model of the rectangular prism below with measurements 4 inches by 6 inches by 13 inches. What is the surface area?

13 in.

4 in.

6 in.

F 288 in.2 G 308 in.2 H 338 in.2 J 358 in.2

3 What is the approximate surface area of the cylinder in the diagram below?

15 cm

48 cm

A 2164.5 cm2 B 2451.6 cm2 C 2514.6 cm2 D 2615.4 cm2

4 The net of a rectangular prism is shown below.

Use the ruler on the Mathematics Chart to

measure the dimensions of the prism to the

nearest 1 _ 4 inch. Find the surface area of the

prism to the nearest tenth. F 1.8 in.2 G 2.0 in.2 H 2.1 in.2 J 2.3 in.2


8.8(A) The student is expected to fi nd lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models).


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1 What is the approximate volume of the cylinder below?

8 cm

22 cm

A 4443.2 cm3 B 4423.4 cm3 C 4324.4 cm3 D 4244.3 cm3

2 A rectangular-based pyramid sits on top of a rectangular prism. The height of the pyramid is 6 inches. The prism is 11 inches long by 5 inches wide by 7 inches tall. What is the total volume?

6 in.

5 in. 11 in.

7 in.

F 495 in.3 G 535 in.3 H 645 in.3 J 715 in.3

3 What is the volume of the cone shown below to the nearest tenth?

5 in.

15 in.

A 308.5 in.3 B 392.7 in.3 C 694.3 in.3 D 1178.1 in.3

4 A square-based prism has a cylindrical hole bored through the middle as shown in the diagram below. What is the closest estimate for the remaining volume of the prism?

18 cm

8 cm 8 cm

2 cm

F 226.2 cm3 G 700.6 cm3 H 925.8 cm3 J 1152.0 cm3


8.8(B) The student is expected to connect models of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects.


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1 What is the approximate volume of a bus that measures 40 feet by 96 inches by 134 inches? A 3335.7 ft3 B 3357.3 ft3 C 3537.3 ft3 D 3573.3 ft3

2 A circular swimming pool has a radius of 7.5 feet and a height of 5 feet. It is being fi lled at a rate of 4.5 cubic feet per minute. About how long will it take to fi ll the pool? F 3 hG 3 h 15 minH 3 h 30 minJ 3 h 45 min

3 An ice cream store installs on its roof a model of a giant child holding an ice cream cone. If the cone is 8 feet tall with a radius of 3 feet, what is the lateral area of the cone to the nearest tenth? A 75.4 ft2 B 80.5 ft2 C 226.2 ft2 D 262.2 ft2

4 The Corpus Christi Cathedral has a maximum height of 54 meters, a maximum width of 27 meters, and a maximum length of 38 meters. What is the maximum volume of the cathedral? F 45,504 m3 G 54,504 m3 H 55,404 m3 J 55,440 m3

5 A model pyramid built at a miniature golf course has a square base with sides that measure 3.5 feet and a height of 7 feet. What is the approximate volume of the pyramid? A 20.9 ft3 B 24.5 ft3 C 26.8 ft3 D 28.6 ft3

6 A business book is 23 centimeters long by 15 centimeters wide and has 414 pages. What is the total surface area of the pages inside the book? F 110,800 cm2 G 124,380 cm2 H 128,430 cm2 J 142,830 cm2


8.8(C) The student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.


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1 Mira hangs a clothesline from one corner of her square backyard to the other. The clothesline is 45 feet long. What are the approximate dimensions of her backyard? A 22.9 ft by 22.9 ftB 27.7 ft by 27.7 ftC 31.8 ft by 31.8 ftD 38.0 ft by 38.0 ft

2 How short must a collapsible fi shing pole be to just fi t inside a 12 inch by 17 inch briefcase? F 17.0 in.G 19.3 in.H 20.8 in.J 29.0 in.

3 The Austin Convention Center offers a number of exhibit halls for different events, with the largest hall measuring 280 feet by 310 feet. A carpet manufacturer wants to place a carpet with the company name on it from one corner of the exhibit hall to the other. About how long must the carpet be? A 417.7 ftB 471.7 ftC 741.7 ftD 774.1 ft

4 In order to safely reach a height of 17.5 feet on the side of a building, a ladder of at least 24 feet is recommended. If the top of the ladder reaches the necessary height, about how far away from the wall is the bottom of the ladder? F 19.4 ftG 18.3 ftH 17.5 ftJ 16.4 ft

5 Paula goes for a nature hike using a GPS device instead of following the local trails. She hikes 3.2 kilometers north and then 4.8 kilometers west. About how far is she from her starting point? A 8.0 kmB 7.75 kmC 6.4 kmD 5.77 km

6 It is recommended that wheelchair ramps be built to a horizontal distance of 12 inches for every inch of vertical distance. If a ramp is 60 inches in horizontal distance, what is the recommended length of the ramp to the nearest tenth? F 60.2 in.G 62.0 in.H 65.0 in.J 67.2 in.


8.9(A) The student is expected to use the Pythagorean Theorem to solve real-life problems.


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1 If �ABC is similar to �EDC, what is the length of x?

A D

E

B

Cx

100

4015

A 35.0 unitsB 37.5 unitsC 40.0 unitsD 42.5 units

2 A building is 450 feet tall and 95 feet wide. If a scale drawing of the building is 12 inches tall, what is the approximate width of the scale drawing? F 2.2 in.G 2.5 in.H 3.1 in.J 3.7 in.

3 A model of a Porsche Carrera is 9 1 _ 2 inches

long and built to a 1:18 scale. What is the

length of the real car?

A 9 1 _ 2 ft

B 12 ft

C 14 1 _ 4 ft

D 18 1 _ 2 ft

4 A right triangle has a smaller right triangle inside as shown in the diagram below. What is the length of x?

x

463

F 12 unitsG 10 unitsH 9 unitsJ 8 units

5 At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow 28 feet long. How tall is the tree? A 28.0 ftB 23.5 ftC 21.0 ftD 17.5 ft

6 The tallest buildings in Dallas by structural height are Bank of America Plaza, at 921 feet, and Renaissance Tower, at 886 feet. If Eric makes a scale drawing of the Renaissance Tower that is 7.5 inches tall, about how tall should he make the scale drawing of the bank plaza? F 7.5 in.G 7.8 in.H 8.2 in.J 8.6 in.


8.9(B) The student is expected to use proportional relationships in similar two-dimensional fi gures or similar three-dimensional fi gures to fi nd missing measurements.


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1 The scale factor of two similar polygons is 3:4. The perimeter of the larger polygon is 180 centimeters. What is the perimeter of the smaller polygon? A 135 cmB 150 cmC 180 cmD 240 cm

2 A square tile measures 8 inches by 8 inches. About how large is the area covered by a pattern 28 tiles wide by 28 tiles long? F 344.8 ft2 G 348.4 ft2 H 384.4 ft2 J 484.8 ft2

3 One square on a checkered tablecloth measures 12 centimeters by 12 centimeters. What is the perimeter of the tablecloth, which is 24 squares wide by 24 squares long? A 576 cmB 864 cmC 1152 cmD 3456 cm

4 A sheet of paper measures 9 inches by

12 inches. A piece is cut out that is 1 _ 6 the

length and 1 _ 6 the width of the sheet of

paper. What is the area of the cutout? F 6 in.2 G 5 in.2 H 4 in.2 J 3 in.2

5 The scale factor of two similar polygons is 3:5. The perimeter of the smaller polygon is 180 centimeters. What is the perimeter of the larger polygon? A 240 cmB 300 cmC 360 cmD 420 cm

6 One plot of land in a subdivision measures 35 feet wide by 120 feet deep. A park is being developed that is 8 plots deep and 8 plots wide. What is the area of the park? F 33,600 ft2 G 67,200 ft2 H 268,800 ft2 J 537,600 ft2


8.10(A) The student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.


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1 A box that is shaped like a rectangular

prism has a volume of 360 cubic

centimeters. The box is dilated by a scale

factor of 1

_ 3 . What is the approximate

volume of the resulting box? A 36.0 cm3 B 22.2 cm3 C 13.3 cm3 D 9.0 cm3

2 A box in the shape of a cube containing a snow globe measures 8 inches per side. A crate contains boxes 15 rows by 15 columns by 15 high. What is the volume of the crate? F 512 ft3 G 750 ft3 H 1000 ft3 J 3375 ft3

3 A building measures 350 feet tall by

60 feet wide by 60 feet deep. A model is

built to scale that is dilated by a factor of

1

_ 24

. What is the approximate volume of the

model building? A 350.0 ft3 B 388.5 ft3 C 218.5 ft3 D 91.1 ft3

4 A cylindrical glass has a radius of 5 centimeters and a height of 15 centimeters. A water reservoir is a dilation of the glass by a scale of 32. What is the volume of the reservoir? F 38,603,891 cm3 G 43,598,284 cm3 H 53,306,198 cm3 J 65,403,981 cm3

5 A rectangular building block is 3 centimeters by 1 centimeter by 1 centimeter. A model of a house is built that consists of 268,800 blocks. What is the volume of the house? A 806,400 cm3 B 606,600 cm3 C 403,200 cm3 D 268,800 cm3

6 Daniel owns a set of books, with each book measuring 23 centimeters by 15 centimeters by 2 centimeters. He packs them in boxes so there are 2 books across each direction of the box and 5 books deep. What is the volume of each box? F 27,600 cm3 G 13,800 cm3 H 6,900 cm3 J 3,450 cm3


8.10(B) The student is expected to describe the resulting effect on volume when dimensions of a solid are changed proportionally.

011-064_OB_TX_877323.indd 51011-064_OB_TX_877323.indd 51 6/30/06 8:37:44 AM6/30/06 8:37:44 AM

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1 A recipe that makes a wedding cake of 4 layers calls for 4 cups of sugar and 15 cups of fl our. How many cups of sugar are required to make 8 wedding cakes with 4 layers each? A 24B 32C 40D 48

2 Darren takes a survey of his class and fi nds

that 1 _ 5 of his classmates watch the same

show on Friday night. If there are

480 students in his school, about how

many of them watch the same show? F 32G 48H 96J 120

3 Melina takes 63 seconds to run around a 400-meter track. If she maintains the same pace, how long will it take her to run 8 kilometers? A 18 minB 19 minC 20 minD 21 min

4 The scale on a road map states that 1 centimeter represents 2.5 kilometers. If 2 points on the map are 7.3 centimeters apart, how far apart are they in reality? F 7.30 kmG 14.60 kmH 16.50 kmJ 18.25 km

5 In 2000, the population of Texas was 20,851,820. Out of every 1000 people, 282 were under 18 years of age. Given this ratio, in a town of 15,000 people, how many would be under the age of 18? A 2340B 3240C 4230D 4320

6 There are 7 cats for every 3 dogs in an animal shelter. If there are 180 dogs and cats in the shelter, how many are cats? F 180G 126H 102J 54


8.1(B) The student is expected to select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships.


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1 Franco works at an electronics store. He earns $7.25 per hour plus a 5% commission on weekly sales. If he works for 40 hours and sells $14,000 worth of merchandise, how much will he earn that week? A $700B $990C $1250D $1400

2 Danielle runs the quality control department at Cogsco, which manufactures cogs and widgets. If she discovers 3 cracked cogs in 8 boxes of 100 cogs each, how many cracked cogs could she expect to fi nd in a shipment of 200,000? F 250G 750H 1500J 3000

3 If Sandy is driving across the state at an average speed of 55 miles per hour, about how long will it take her to drive 450 miles? A 8 h 11 minB 7 h 42 minC 6 h 57 minD 6 h 13 min

4 Jenny works 37.5 hours per week as an administrative assistant at a rate of $21.50 per hour. If she receives a raise of $1.75 per hour, how much more will she earn than before over a period of 4 weeks? F $222.50G $242.50H $262.50J $282.50

5 A rare coin is purchased for $400 in 2001. Its value increases by 8% each year. About how much will the coin be worth in 2010? A $634.75B $685.53C $740.37D $799.60

6 Shannon buys a car for $33,500. The car depreciates in value by 15% per year. How long will it take the car to decline below $15,000 in value? F 8 yearsG 7 yearsH 6 yearsJ 5 years


8.3(B) The student is expected to estimate and fi nd solutions to application problems involving percents and other proportional relationships such as similarity and rates.


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1 Steven fl ips 3 coins. What is the probability that there will be 2 heads and 1 tail?

A 1 _ 8 C 3 _

8

B 1 _ 4 D 1 _

2

2 A bag contains 4 black marbles, 6 red marbles, 9 green marbles, and 5 blue marbles. What is the probability of pulling 2 consecutive red marbles?

F 5 _ 92

H 9 _ 92

G 7 _ 92

J 11 _ 92

3 What is the probability of drawing a jack from a deck of 52 playing cards, returning it to the deck, and then pulling a heart?

A 1 _ 52

C 1 _ 26

B 1 _ 32 D 1 _ 4

4 William purchases lunch every day from the school cafeteria. He has a choice of 5 types of soft drinks and 4 types of desserts. The likelihood of choosing any one is equal. What is the probability that William will purchase a cola and an apple pie today?

F 1 _ 5 H 1 _

20

G 1 _ 10

J 1 _ 40

5 There are 5 girls and 5 boys in a class. What is the probability that the fi rst 2 students to walk into the classroom will be girls?

A 2 _ 9 C 4 _

9

B 1 _ 3 D 5 _

9

6 Mark writes the names of the 10 largest cities in Texas on separate pieces of paper and puts them in one bag. Then he writes “fl y,” “drive,” and “train” on separate pieces of paper and puts them in another bag. He puts a hand into each bag and pulls out a sheet of paper. What is the probability that Mark will choose to drive to San Antonio?

F 1 _ 10

H 1 _ 30

G 1 _ 20

J 1 _ 60


8.11(A) The student is expected to fi nd the probabilities of dependent and independent events.


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TAKS Practice#

1 Margaret rolls a number cube 60 times and records the results in the table below.

Number Result

1 42 123 74 165 116 10

Which number on the cube has the same experimental probability as theoretical probability? A 2B 3C 5D 6

2 Two coins are fl ipped 40 times and the results are recorded in the table below.

Number of Heads

Number of Times

2 53

1 5554

0 553

What is the difference between the theoretical probability and experimental probability of getting 2 heads? F 4%G 5%H 6%J 7%

3 Four colored balls are placed in a bag. A ball is drawn, recorded, and returned to the bag. This experiment is repeated 20 times. The results of the experiment are shown in the table below.

Color Number of Times

Red 3Blue 8Black 5Yellow 4

What is the experimental probability of pulling a blue ball? A 50%B 40%C 25%D 20%

4 Paul takes a card out of a deck of 52 playing cards, records the suit in the table below, and then returns the card to the deck.

Suit Number of Times

Clubs 9Spades 18Hearts 16Diamonds 15

Which suit has an experimental probability that is furthest from the theoretical probability? F clubsG diamondsH heartsJ spades

8.11(B) The student is expected to use theoretical probabilities and experimental results to make predictions and decisions.



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1 Alicia received the following scores on her last 5 English tests: 83, 89, 86, 85, and 79. If she scores 89 on her next English test, which measure will produce the highest score? A meanB medianC modeD range

2 The 5 starting players on a basketball team score 32, 18, 17, 15, and 6 points, respectively. Which measure will provide the highest result? F meanG medianH modeJ range

3 The employees at Acme Corporation make the following weekly salaries: $800, $850, $825, $900, $750, $1500, $300, $700, $925, $855. Which measure will provide the most meaningful result? A meanB medianC modeD range

4 Which measure should be used to determine the most popular sandwich in a restaurant? F meanG medianH modeJ range

5 Sean scored 22, 27, 27, 35, and 44 goals in his last 5 seasons of playing hockey. If he scores 49 goals this year, which measure will give him the highest result? A meanB medianC modeD range

6 Alan surveys his classmates to determine the most popular type of running shoe. He records the results in the table below.

Running Shoe

Number of Students

Nicky 12Adios 10Arbok 10Borks 5

Which measure will provide the most meaningful result? F meanG medianH modeJ range


8.12(A) The student is expected to select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation.


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1 On an average day, Kristin sleeps for 8 hours, eats for 2 hours, watches television for 3 hours, works for 7 hours, reads for 1 hour, and spends the rest of her time doing miscellaneous things. Which is the best representation for presenting these data? A histogramB line graphC circle graphD Venn diagram

2 The following table lists the favorite professional sports of students at Nadia’s high school.

Favorite Sport

Number of Students

Baseball 85Basketball 182Football 220

Golf 45Hockey 53Tennis 22Other 14

What is the approximate measure of the central angle in the circle graph that represents basketball? F 106°G 128°H 182°J 220°

3 Which of the following data would best be represented by a histogram? A the number of students who wear a

particular brand of sweat pantsB the amount of each type of burger sold

at a fast food restaurantC the ages of attendees at a particular

movie premiereD the types of cell phones preferred by

students in a specifi c Grade 9 classJ rainfall in Houston during the month of

August

4 Which representation is most appropriate for displaying a trend over time? F box and whisker plotG histogramH line graphJ stem and leaf plot

8.12(C) The student is expected to select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology.



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1 The following table lists the areas of the 4 largest states.

State Area (square miles)

Alaska 656,425Texas 268,601

California 163,707Montana 147,046

Which of the following statements is supported by the table? A Texas is half the size of Alaska.B The range is 519,479 square miles.C Montana is 75% the size of California.D Alaska has more land than the other 3

states combined.

2 The following circle graph represents the brands of blue jeans preferred by a group of high school students.

Blue Jeans Preferences

Dicks40°

Gaap26.7°

Bison33°

Lewis120°

Gross80°

Jordan60°

Which conclusion would be invalid? F One third of students prefer Lewis

jeans.G The same number of students prefer to

wear Jordan jeans as to wear Bison and Gaap jeans combined.

H More than 20% prefer Gross jeans.J More than 25% prefer Jordan jeans.

3 The table below shows the number of comic books that Trevor purchased during his last 5 visits to the comic book store.

Visit Number of Comics

1 52 33 114 25 5

Which conclusion would be invalid? A The mode of comic book purchases

was 5.B The mean number of comic book

purchases was greater than 5.C Trevor purchased more than 30 comics.D The range of comic book purchases

was 9.

4 The scatterplot below shows the number of points scored by football teams.

y

x

Losi

ng

Sco

res

30

20

10

0

40

50 60

20 40 60Winning Scores

Football Scores

Which conclusion would be invalid? F The range in losing scores exceeds 50.G There are more winning scores below

40 than above 40.H There are more losing scores below

25 than above 25.J There are as many combined scores

below 50 as above 50.


8.13(B) The student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.


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1 Terry is 3 years more than twice Amanda’s age. If Terry is 25 years old, which equation can be used to determine Amanda’s age? A 25 = 3 + 2xB 25 = 3 – 2xC 25 = 3x + 2D 25 = 3x – 2

2 Fernando assembles computers on a part-time basis. He earns $100 per week plus $65 per computer that he can assemble in a week. Which equation or inequality can he use to determine how many computers he has to assemble in order to make at least $1000 in a week? F 1000 ≤ 100 – 65xG 1000 = 100 – 65xH 1000 = 100 + 65xJ 100 + 65x ≥ 1000

3 Mr. Chermin is renovating his house by replacing all the carpeting with wood fl ooring. Wood fl oors cost $4.50 per square foot, and sales tax is 8%. Installation is another $2.00 per square foot. What other information is required to determine how much the job will cost? A the value of his home before installing

the wood fl ooringB the type of fl ooring requiredC the area in square feet of his entire

homeD the area in square feet that needs to be

covered in fl ooring

4 Sonia wants to put in a pattern of crisscrossing stepping stones from one corner of her garden to the other. How can she determine the distance without measuring? F Multiply the length of the garden by the

width and divide by 2.G Find the square root of the sum of the

length and width of the garden.H Add the square of the length of the

garden to the square of the width of the garden, and then fi nd the square root of the sum.

J Add the square of the length of the garden to the square of the width of the garden.

5 Miranda types at a rate of 48 words per minute. Which equation describes how long it will take her to type a 3000-word essay?

A 3000 + 48x = 0

B 3000 = 48x

C 3000x = 48

D x = 48 _ 3000

6 Sandra invests $1000 into an investment account that will mature in 12 years. What equation can she use to determine the interest rate required to reach $10,000?

F 10,000 = 1000(12x)

G 10,000 = 1000(1 + x)12

H 10,000 = 1000

_ (1 + x)12

J 10,000 = x(1000)12


8.14(A) The student is expected to identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.


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1 A town has 3 different gyms with different rates. The Sweat Shop charges $24.95 per month and a $0.50 daily usage fee. Better Bodies charges $19.95 per month and a $0.75 daily usage fee. The Fit Nut charges $15.95 per month and a $1.00 daily usage fee. Which statement is NOT a valid conclusion? A The Sweat Shop is more cost effective

if visited more than 20 times per month.

B Better Bodies is more cost effective if visited from 16 to 20 times per month.

C Better Bodies is always more cost effective than The Sweat Shop but not always more cost effective than the Fit Nut.

D The Fit Nut is more cost effective if visited less than 16 times per month.

2 Jeff is a custom furniture manufacturer. He offers to build bedroom furniture in 5 different types of wood, 4 different sizes, and 6 different colors. Which is the best way to determine the different combinations of wood, sizes and colors?F Multiply the total number of items in

each of the three categories together.G Add the number of wood types to the

different colors and multiply the sum by the number of sizes.

H Add the total number of choices and then multiply by 3.

J Multiply the number of options and then divide by 3.

3 Thomas earns $8.50 for every hour up to 40 hours in a week. He earns 1.5 times his normal rate for every subsequent hour. How can Thomas calculate his weekly earnings? A Multiply the total number of hours

worked by $8.50, then multiply any hours in excess of 40 by $4.25, and add the two products.

B Multiply the total number of hours worked by $8.50.

C Multiply the total number of hours worked by $8.50 and multiply any hours in excess of 40 hours worked by $8.50, and add the two products.

D Multiply the total number of hours worked by $8.50, multiply any hours in excess of 40 by $4.25, then subtract the difference.

4 Ashley is painting every room in her house. One gallon of paint costs $12.50 and covers 350 square feet. She wants to put 2 coats of paint on the walls. How can she determine how much it will cost? F Divide the area of the walls to be

painted by 350 and multiply by $12.50.G Divide the area of the walls to be

painted by 700 and multiply by $12.50.H Multiply the area of the walls that need

to be painted by 2, divide by 350, and multiply by $12.50.

J Divide the total area of her home by 350, multiply by $12.50, and then divide by 2.


8.14(B) The student is expected to use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.


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1 Candace’s backyard has a perimeter of 98 feet and an area of 600 square feet. What are the dimensions of her backyard? A 19 ft × 30 ftB 25 ft × 24 ftC 28 ft × 21 ftD 32 ft × 17 ft

2 Glenn is painting all three bedrooms in his home. The bedroom walls are 500 square feet, 350 square feet, and 450 square feet. Each can of paint costs $22. A can of paint covers 300 square feet of wall, and he wants to put 2 coats of paint on each wall. What should be the fi rst step in determining how much paint he needs? F Find the total area and multiply by 2.G Find the total area and multiply by 300.H Multiply the area of each room by $22.J Multiply the cost of paint by 300.

3 A cube has a surface area of 150 square centimeters and a volume of 125 cubic centimeters. What is the side length of the cube? A 3 cmB 4 cmC 5 cmD 6 cm

4 Christopher is setting up a fi eld hockey tournament. It costs $35 per fi eld for the day, $20 per fi eld for equipment, $5 per team for parking, and $30 per fi eld for referees. There is also a one-time reservation fee of $20. If he needs 3 fi elds for the tournament, what is the best way to determine his costs? F Add fi xed and per fi eld costs together.G Add per fi eld costs together, multiply

by 3, and then add fi xed costs.H Multiply per fi eld costs by 3, and then

multiply the product by the fi xed costs.J Add all costs together and multiply

by 3.

5 Nadine is cleaning out the gutters on her roof. She has a 45-foot extension ladder. The ladder has to be 1 foot away from the wall for every 4 feet in height. How can Nadine determine the highest point on the side of her house that she can safely reach? A Multiply the ladder length by the

distance from the wall and fi nd the square root of the result.

B Add the square of the distance from the wall to the square of the ladder and fi nd the square root of the sum.

C Divide the ladder length by the distance from the wall and square the result.

D Subtract the square of the distance from the wall from the square of the ladder length, and fi nd the square root of this difference.


8.14(C) The student is expected to select or develop an appropriate problem-solving strategy from a variety of types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backward to solve a problem.


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1 What is the proper term for measuring the amount of sand required to cover a beach? A perimeterB surface areaC volumeD weight

2 Eric is starting a new construction job for his builder, and he has to be there by 7:00 A.M. It takes 30 minutes to prepare his tools and pick up his partner, and another 90 minutes to drive to the work site. What should be the fi rst step in determining Eric’s departure time? F Add his travel time to his

departure time.G Add his preparation time to his

travel time.H Add his travel time to 7:00 A.M.J Subtract the travel time from the

departure time.

3 The width of a rectangular plot of land is 5 feet shorter than the length. The area of the plot of land is 350 square feet. Alana wrote the formula 350 = x(x – 5) to determine the measurements of the plot of land. What does x represent? A the length of the plot of landB the width of the plot of landC the length of the plot of land minus 5 ftD the width of the plot of land minus 5 ft

4 Phil has to load a number of small boxes that are measured in cubic inches into a storage area that is measured in cubic feet. What should Phil do to make it easier to determine how many boxes he can place in the storage area? F Convert the volume of the boxes to

cubic yards.G Convert the volume of the space to

cubic yards.H Convert the volume of the boxes to

cubic feet.J Divide the volume of the space by the

volume of the boxes and then multiply by 12 to convert to feet.

5 The value of π is the result of which of the following ratios comparing a sphere’s surface area to its radius?

A SA _ r2

C 4SA _ r2

B SA _ 4r2

D SA _ 4r

6 The following table illustrates a linear function.

x y

0 21 42 63 8

What makes this a linear function? F The value of y increases by the same

amount irrespective of the value of x.G The value of y increases by varying

amounts with respect to x.H The value of x increases with respect to y.J The value of y increases by the same

amount with respect to x.

8.15(A) The student is expected to communicate mathematical ideas using language, effi cient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.


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1 Ms. Scheffi eld invests $500 on the day of her daughter’s birth. The table shows the value of the investment on later birthdays.

Age Value

6 $100012 $200018 $4000

How much will the investment be worth on her daughter’s 30th birthday?A $4000B $8000C $16,000D $32,000

2 The table shows the number of E. coli bacteria in a petri dish.

Hours Bacteria

0 601 1202 2403 480

How many will there be in 8 hours? F 7680G 15,360H 30,720J 61,440

3 If a(b + c) = ab + ac and b + c = d + e, then which of the following statements is NOT true? A ab + ac = ad + aeB ab = ad – ae + acC ac + ab = ad + aeD ab – ad = ae – ac

4 The following table shows the number of sides and diagonals for different polygons.

Polygon Number of Sides

Number of Diagonals

Triangle 3 0Square 4 2

Pentagon 5 5Hexagon 6 9

Based on the pattern in the table above, how many diagonals does an octagon have? F 14G 17H 20J 23

5 The table shows the height a ball reaches after each bounce.

Bounce Height

3 20 cm4 10 cm5 5 cm

What was the original height of the ball when it was dropped? A 40 cmB 80 cmC 160 cmD 320 cm

6 The Fibonacci sequence follows the pattern 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . . .Which of the following numbers is part of the Fibonacci sequence? F 233G 378H 612J 988


8.16(A) The student is expected to make conjectures from patterns or sets of examples or nonexamples.


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1 Andrew states that the range can never be greater than the mean, median, or mode. Seth disagrees. Which set of values could Seth use to disprove Andrew’s theory? A 7, 8, 15, 19, 22B 10, 20, 30, 40, 40 C 12, 15, 25, 25, 29D 12, 25, 26, 27, 90

2 Theo uses the formula y = 300 + 200x to represent a salesperson’s weekly salary of $y. The formula is based on $300 per week plus $200 per whole number of units x that he sells. Which value of y is not possible? F $300 H $500G $400 J $700

3 Angelo thinks that x2 – y2 = (x – y)2 for all values of x and y. Which pair of values disproves his theory? A x = 2 and y = 0B x = 1 and y = 1C x = 0 and y = 1D x = 0 and y = 0

4 Leah makes the following statement to Jason: “I would rather earn $0.01 today and have it doubled every day for 30 days straight than earn $1000 per day for 30 days.” Jason is shocked and says her claim is ridiculous. On what day will Leah prove that her claim is valid? F day 19 H day 21G day 20 J day 22

5 Consider the following scatterplot.

y

xO

1015

46 42 86 10 12 14 16 18 20

510152025

Which statement is a valid conclusion? A As x continues to increase, y will

defi nitely continue to increase.B As x continues to increase, y will

defi nitely continue to decrease.C As x continues to increase, y will most

likely continue to increase.D There is insuffi cient data to determine

whether y will continue to increase or decrease as x continues to increase.

6 The population of Texas grew 22.76% from 1990 to 2000, or 2.28% per year. It then grew 7.86% from 2000 to 2004, or 1.96% per year. Which statement is a valid conclusion based on these data?F The annual rate of population growth

has suddenly decreased in the last 4 years.

G The annual rate of population growth has suddenly increased in the last 4 years.

H The annual rate of population growth appears to have decreased in the last 4 years in comparison to the previous 10 years.

J The annual rate of population growth appears to have increased in the last 4 years in comparison to the previous 10 years.


8.16(B) The student is expected to validate his/her conclusions using mathematical properties and relationships.


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Practice Test


best answer.

1 A circle and its radius are shown below.

radius

Which of the following ratios shows the value of π ?

A C __ 2r

C C ___ r2

B 2Cr D Cr2

2 What is the slope of the linear function shown in the graph?

y

xO

F –3 H 4 __ 3

G – 1 __ 3 J 3


3(x + 2) – 4(x – 5)

A 7x – 14 B –x – 26 C 26 – xD 7x + 26

4 The surface area of a rectangular prism is given by this function:

S = 2lw + 2lh + 2wh.

Which statement is true? F The surface area of the prism depends

on the length and width only.G The surface area of the prism depends

on the width and height only.H The surface area of the prism depends

on the length and height only.J The surface area of the prism depends

on the length, height, and width.

5 A dart is thrown 50 times at a circular board divided into quarters colored blue, red, green, and yellow. The results are shown in the table below.

Results of Throwing a Dart

blue 10red 13

green 20yellow 7

For which color is the experimental probability closest to the theoretical probability?A blue C redB green D yellow

6 Andrew received grades of 82, 93, 88, and 81 on his last 4 math tests. If he receives a grade of 85 on his next math test, which measure will give him the highest grade? F mean G median H modeJ range

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Practice Test (continued)

7 �JKL is refl ected in the y-axis so that J is mapped to J'.

y

xO

J

L

KJ'

Which coordinate pair best represents L' ? A (–2, –2) C (2, –2)B (–2, 2) D (2, 2)

8 The graph below shows the number of points scored by high school basketball teams on a given day.

y

x

Losi

ng

Tea

m’s

Sco

re

40

20

0

60

70

80

30

10

50

10 20 30 40 50 60 70 80Winning Team’s Score

High School Basketball Scores

Which of the following statements would be an invalid conclusion? F The average score of the winning team

was less than 65.G The average score of the losing team

was more than 40.H The average difference in scores was

less than 20.J The average total points scored was

more than 120.

9 During the 2005 season, the Amarillo Museum of Art held a Jasper Johns exhibition. Each print measured 26.5 inches high by 20.5 inches wide. If curators wanted to cover one wall measuring 25 feet wide by 14 feet high with prints side by side and top to bottom, how many complete pieces of art could they use? A 84 B 89 C 92D 108

10 The drawing below shows a plot of land in the shape of a right triangle.

Which of the following sets of measurements describes the plot? F 35 ft, 50 ft, 60.1 ftG 40 ft, 45 ft, 60.2 ftH 52 ft, 58 ft, 75.8 ftJ 60 ft, 45 ft, 70.5 ft

11 The smallest offi ce in a building measures 10 feet by 12 feet. The largest offi ce in the same building is 6 times as long and 6 times as wide. What is the area of the larger offi ce? A 4320 sq ftB 3580 sq ftC 1440 sq ftD 720 sq ft


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12 A furniture manufacturer stores disassembled desk units in boxes that measure 36 inches by 66 inches by 8 inches. What is the volume of the storage area in cubic feet that can hold 3 boxes wide, 3 boxes high, and 3 boxes deep?

Record your answer and fi ll in the bubbles on the answer grid below.

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

13 These are wickets.

These are not wickets.

Which of the following is a wicket? F

G

H

J

14 Alana plants several seeds in different pots and tracks the average daily growth of the plants on a scatterplot. The results are shown below.

y

x

Gro

wth

(cm

)

0.6

0.4

0.2

0

0.8

1

2 4 6 8 10 12 14Day

Plant Growth Since Last Measurement

Which of the following conclusions is accurate? F The plants grow at an average rate of

0.4 cm per day.G Daily plant growth ranges from 0.0 to

0.4 cm per day.H Daily plant growth can be graphed

using a linear function.J Daily plant growth can be graphed

using a quadratic function.

15 Collin’s movie collection contains 150 fi lms. The number of DVDs in his collection is 14 more than 3 times the number of videotapes. Which system of equations could be used to fi nd the number of DVDs, d, and videotapes, v, in his collection? A d + v = 150 d = 3v – 14B d + v = 150 v = 3d + 14C d + v = 150 d = 3v + 14D d + v = 150 d + 3v = 14

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16 Stephanie owns a sports collectibles store. She is assembling gift packs that contain a pack of cards, a fi gurine, and a team yearbook. There are 4 packs of regular cards and 2 packs of All-Star cards. Figurines include 3 different bobble-headed dolls and 3 different action fi gures. There are also 5 different team yearbooks. Which is the best method to determine how many different combinations of card packs, fi gurines, and yearbooks Stephanie could assemble?

F Add the number of card types to the number of fi gurines and multiply the sum by the number of fi gurines.

G Add the total number of choices and then multiply by 3.

H Multiply the total number of items in each of the three categories together.

J Multiply the number of options and then divide by 2.

17 The graphs of the linear equations y = 4 + 3x and y = x – 4 are shown below.

y

xO

If 4 + 3x = x – 4, what is the value of x? A –8B –6C –4D 4

18 The net of a cube is shown below.

Use the ruler on the Mathematics Chart to measure the dimensions of the cube. Find the surface area of the cube to the nearest square centimeter. F 30 cm H 20 cmG 25 cm J 15 cm

19 Marcus is emptying his swimming pool in order to clean and repair the bottom. The pool has a diameter of 12 feet and a depth of 8 feet. The water drains out of the pool at a rate of 24 cubic feet per minute. About how long will it take to empty the pool? A 155 min C 38 minB 84 min D 15 min


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20 Alex purchases a $25.00 pay-as-you-go plan for his cell phone, which costs $0.08 per minute. Which table best describes b, the balance remaining on his cell phone plan after he talks for t minutes? F t b

0 $25.00 40 $21.80100 $17.00240 $5.60

G t b

0 $25.00 25 $23.00125 $14.00225 $7.00

H t b

0 $25.00 50 $21.00150 $13.00225 $7.00

J t b

0 $25.00 60 $20.20120 $14.50180 $10.60

21 An anchor sits at 8 feet below the surface of the water. When released, it descends at a constant rate of 5 feet per second. Which equation could be used to determine t, the time in seconds it would take the anchor to reach a depth, d ? A d = –5t + 8B d = –5t – 8C d = –8t – 5D d = –13t

22 The following table illustrates the distribution of population in Texas by age.

Age Population

0-18 6,643,60019-64 13,278,43065-74 1,174,45075+ 953,720

What percent of the population is age 18 or under? F 50% H 16%G 30% J 6%

23 The dimensions of a rectangle are 2x – 5 and 3x + 3. Which expression best represents the area of the rectangle in simplest terms? A 6x2 – 9x – 15 C 6x2 + 9x – 15B 6x2 – 9x + 15 D 6x2 – 15x – 9

24 Katrina makes caricatures of tourists on the boardwalk by the beach. She works 6 hours a day and can draw 1 caricature every 45 minutes. How many caricatures can she make in a week? F 48 H 64G 56 J 72

25 A scientist creates a nanobot that replicates itself every 30 minutes. If each successive nanobot has the same ability, how long will it take to create more than 1,000,000 nanobots? A 10 h C 24 hB 15 h D 36 h


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26 Which graph best represents the relationship between the height of water in a glass and the amount of time that passes as the glass sits outside during a rainstorm? F

Hei

gh

t

Time

G

Hei

gh

t

Time

H

Hei

gh

t

Time

J

Hei

gh

t

Time

27 If y = 2x2, what is equivalent to y3? A 2x6 B 6x6

C 8x6

D 8x3

28 Texas has an area of 268,601 square miles. What is the length of a diagonal of a square with the same area? F 518.3 mi H 845.6 miG 732.9 mi J 903.8 mi

29 Daniella states that if she knows any two angles in the diagram below, she can determine the measure of the other two angles.

1

2

3 4

Which pair of angles shows that Daniella is incorrect? F ∠1 and ∠3 G ∠1 and ∠2 H ∠2 and ∠4 J ∠2 and ∠3


Purchase (Dollars)

y

x

Tax

(Do

llars

)

40

20

0

60

70

30

10

50

100

200

300

400

500

600

700

800

900

1000

Sales Tax on Purchases

A Tax is paid at $5 per $100 spent.B A purchase of $550 would result in

less than $30 in taxes.C An item that costs $700 would incur

less than $45 in tax.D A TV that retails for $875 would end

up costing more than $950 with tax.


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31 Consider the following 3-dimensional fi gure.

Which best represents the solid when viewed from the top? A

B

C

D

32 Which expression can be used to fi nd the value of a(n) in the table below?

n 1 2 3 4 5a(n) 2 5 8 11 14

F 2nG n + 1H 3n - 1J 4n - 2

33 �KLM has coordinates K(1, –2), L(3, 6), and M(5, 4). What will be the new coordinates of point L if the triangle is translated 2 units to the left and 4 units down?

y

xO

L

K

M

A (–1, –6) C (1, 6)B (1, 2) D (3, 0)

34 Stephen bought 25 paperback books and 15 hardcover books from the used bookstore. The paperback books averaged $p each, and the hardcover books averaged $h each. Which expression gives the average cost per book for the entire purchase? F 40(25p + 15h)

G 40(15p + 25h)

H 15p + 25h

_________ 40

J 25p + 15h

_________ 40

35 Which function includes the data set {(–3, –9), (1, 7), (4, 19)}? A y = 2x – 3B y = 2x + 3C y = 3xD y = 4x + 3


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36 The chart below shows the top agricultural commodities produced in Texas.

Commodity Value ($)

Cattle and calves 7,989,786Cotton 1,546,320Broilers 1,424,520Other 3,173,611

Which circle graph best represents these data? F

Cattle

Other

Broilers

Cotton

G

BroilersCotton

CattleOther

H

CottonBroilers

CattleOther

J

CottonBroilers

OtherCattle

37 �ABC and �DEF are shown below.

A B

C

DE

F

6.6

15.3 10.2 8.6

What scale factor was used to transform �ABC to �DEF?

A 1 __ 3 C 2 __

3

B 2 __ 5 D 3 __

4

38 Tyler is a bicycle courier who earns $80 per day and $2.50 per delivered package. If A represents his daily wage and B represents the amount he earns per delivery, which equation best represents this relationship? F A = 80B + 2.5 H A = B(80 + 2.5)

G A = 2.5B + 80 J A = 80 ____

2.5B

39 How would the graph of the function y = x2 – 6 be affected if the function was changed to y = x2 – 1? A The graph would shift 5 units up.B The graph would shift 5 units down.C The graph would shift 5 units to

the left.D The graph would shift 5 units to

the right.

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40 The line segment on the graph shows the distance to the dock for one of the free ferries operated in Corpus Christi.

y

x

Dis

tan

ce (

hu

nd

red

s o

f ft

)

4

2

0

6

7

8

9

10

11

12

13

14

3

1

5

10 20 30 40 50 60 70 80 90 100

110

12013

0

Time (s)

Which best describes the slope of the line segment? F The ferry travels at a rate of

33 feet per second.G The ferry travels at a rate of

22 feet per second.H The ferry travels at a rate of

11 feet per second.J The ferry travels at a rate of

5.5 feet per second.

41 Dion wants to fi nd the corner-to-corner distance of his high school pool. How can he do this without actually measuring it? A Sum the length and width of the pool

and then calculate the square root of the total.

B Sum the squares of the length and width of the pool and then calculate the square root of the total.

C Add the square of the width and length of the pool.

D Multiply the length and width of the pool together and then calculate the square root of the product.

42 How will the graph of the equation y = 2x – 5 change if the value of m remains the same and the value of b changes to 5? F The graph of y = 2x – 5 will move

10 units up.G The graph of y = 2x – 5 will move

10 units down.H The graph of y = 2x – 5 will move

10 units to the left.J The graph of y = 2x – 5 will move

10 units to the right.

43 An elephant’s weight is 125 kg less than 25 times the weight of a tiger. If the elephant weighs 6800 kg, which equation can be used to determine x,the tiger’s weight? A 6800 = 25x – 125 B 6800 = 25x + 125 C 6800 = 125x + 25D 6800 = 125x – 25

44 The scale on a map is 1:80,000. If two points on the map are 3.5 centimeters apart, how far apart are they in the real world? F 280 m H 28,000 mG 2,800 m J 280,000 m

45 Super Gamer Corporation can produce 350 gaming systems per day. If 25,000 systems are needed for the holiday season, what is a reasonable number of days to meet the quota? A 68B 72C 89D 105


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y

xO

F (3, 0) and (0, 6) H (0, 3) and (6, 0)G (3, 0) and (6, 0) J (0, 3) and (0, 6)

47 Which equation best describes the relationship between the corresponding values of x and y shown in the table?

x y

–4 –21–1 –6 3 14 6 29

A y = 5x – 1 C y = 3x – 9B y = 4x – 5 D y = 2x – 13

48 Which equation describes a line that has a y-intercept of 5 and a slope of –2? F y = 5 + 2x H y = 2 – 5xG y = 5 – 2x J y = 2 + 5x


n 1 2 3 4 5a(n) 2 5 8 11 14

A n + 1 C 3n – 1B 2n D 4n – 2

50 If ABCD is similar to AEFG, what is the length of

−− DC ?

15 2550

A

B

C

D

E

F

G

F 10 units H 25 unitsG 15 units J 30 units

51 Which of the following situations can be represented with a linear function? A the number of goals scored per game by

the captain of the hockey teamB the number of minutes played per game

by the captain of the hockey teamC the amount of money earned by the

captain of the hockey team over the course of the season

D the number of shots on goal with respect to goals scored by the captain of the hockey team

52 A computer is producing a random list of license plate numbers. Each license plate will have three letters followed by the numbers. What is the probability that the fi rst letter will be A and the fi rst number will be 1?

F 1 ____ 260

H 1 ___ 26

G 1 ___ 36

J 1 ___ 10


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Countdown to TAKS


Monday Tuesday

1 Which equation describes a line that has a y-intercept of 2 and a slope of 4?A y = 4 + 2xB y = 2 + 4xC y = 2x – 4D y = 4x – 2

2 If y = x 4 , which is equivalent to x 16 ? F y 2 G y 4 H y 8 J y 12

Wednesday Thursday

3 Which function includes the data set {(–4, 2), (–2, 3), (2, 5)}? A.5(C) C

A y = x + 6 B y = –x – 2

C y = 1 _ 2 x + 4

D y = – 1 _ 2 x + 2

4 The dimensions of a rectangle are 3x – 1 and 2x + 3. Which expression describes the area of the rectangle in simplest terms? A.4(A) H

F 6 x 2 – 7 x – 3 G 6 x 2 – 7 x + 3 H 6 x 2 + 7 x – 3 J 6 x 2 + 7 x + 3

Friday

5 Darrell was trying to decide among 6 universities to attend in the fall. He wrote each university’s name on a piece of paper, drew a name, and recorded the result. Then he returned the piece he drew, mixed the pieces up, and drew again. The table below shows all the results. 8.11(B) D

University Times Chosen

Baylor University 2LeTourneau University 8Southwestern University 3Texas A&M University 5Texas State University 8University of Houston 2

For which university is the experimental probability closest to the theoretical probability?A Baylor B LeTourneauC SouthwesternD Texas A&M

25 Weeks to TAKS

075-099_CD_TX_877323.indd 75075-099_CD_TX_877323.indd 75 6/28/06 4:36:55 PM6/28/06 4:36:55 PM

Name Date

Countdown to TAKS

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24 Weeks to TAKS

A.1(B) C

Monday Tuesday


x y

–3 7–1 52 2

A y = 10 + x B y = 2x + 13 C y = 4 – x D y = 1 – 2x

2 Consider the fi gures shown below.

2 3 1

If the fi gures continue to grow according to the pattern shown above, what fi gure number will consist of 21 triangles? 8.16(A J

F 8 G 9 H 10 J 11

Wednesday Thursday

3 A submarine was 800 feet deep. It started to ascend at a constant rate of 25 feet per minute. Which equation shows d, the submarine’s depth in the water after t minutes of ascent? A.7(A) C

A 800 = d + 25t B d = 800 + 25t C d = –800 + 25t D 25d = 800 + t

4 Alex sells motorcycles at The Speed Shop. He earns a commission of 9% on every motorcycle and accessory. How much must he sell this week if he wants to earn $1800? 8.3(B) F

F $20,000 G $26,000 H $36,000 J $45,000

Friday

5 Round-trip Texas Express tickets are $38.50 for Austin to Houston and $28.50 for Austin to Dallas. On Friday, there were 85 more trips to Houston than Dallas and fares totaled $13,322.50. Which system of equations shows the number of fares that day to Houston, h, and Dallas, d? A.8(A) C

A h = d – 8538.5h + 28.5d = 13,322.5

B h = d + 8528.5h + 38.5d = 13,322.5

C h = d + 8538.5h + 28.5d = 13,322.5

D h + d = 8538.5h + 28.5d = 13,322.5


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Countdown to TAKS


Monday Tuesday

1 The fi gure below is divided along the top diagonal. One half of the fi gure is then removed. Which best represents the shape of the remaining fi gure when viewed from the top? 8.7(A) D

A rectangleB rhombusC squareD triangle

2 If �ABC ˜ �XYZ, what is the length of the missing side? 8.9(B) H

CB

A X

ZY

108

7

7

67.5

F 4.5 unitsG 5.00 unitsH 5.25 unitsJ 5.75 units

Wednesday Thursday

3 Identify the dependent variable in the equation y = 3x + 5. A.1(A) A

A y B 3x C x D 5

4 Which of the following expressions will always produce an odd integer for any given integer, n? A.3(B) HF n – 2G n + 2H 2n + 1J 3n

Friday

5 According to Texas Accessibility Standards, the minimum required for a standard wheelchair to make a 180º turn is a clear space 60 inches in diameter. What is the approximate area of this space? 8.7(B) BA 1411.3 i n.2

B 2827.4 i n.2

C 3600.0 i n.2 D 11,309 in . 2

23 Weeks to TAKS


Name Date

Countdown to TAKS

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22 Weeks to TAKS

A.7(B) C 8.6(B) J

Monday Tuesday

1 What term best describes the amount of paneling needed to cover a wall in a room? 8.15(A) C

A diameter B perimeter C surface area D volume

2 Simplify the algebraic expression3(x + 2) + 2(x – 3). A.4(B) FF 5xG 5x + 12H 5x – 12J 6x – 12

Wednesday Thursday

3 The graphs of the linear equations y = x + 3 and y = 2 + 2x are shown below.

y

xO

If x + 3 = 2 + 2x, what is the value of x? A 4B 3C 1D 0

4 �ABC is translated so that A is mapped to A'.

y

xO

A

C

B

A'

Which coordinate pair best represents B' ? F (1, 3) G (2, 4) H (3, 1) J (4, 2)

Friday

5 Donna wants to rent 3 fi elds at the Del Valle Adult Softball Complex for her baseball tournament. It costs $40 per fi eld for the day, $40 per fi eld for 2 hours of lights, $10 per team for parking, $30 per fi eld for setup, and a one-time reservation fee of $10. What is the best way to determine her costs? 8.14(C) BA Add all fi xed and per-fi eld costs together.B Add all per-fi eld costs together and multiply by 3, and then add the fi xed costs.C Add all her costs together and multiply by 3.D Multiply all per-fi eld costs by 3, and then multiply the product by the fi xed costs.


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Countdown to TAKS


21 Weeks to TAKS

Monday Tuesday

1 The table below shows the population of the 5 largest cities in Texas.

City Population

Houston 1,953,631Dallas 1,188,580San Antonio 1,144,646Austin 656,562El Paso 563,662

What scale would be most appropriate for the graph? 8.12(C) DA 0 to 1000B 0 to 500,000C 0 to 1,000,000D 0 to 2,000,000

2 What are the coordinates of the midpoint of

−− XY ? 8.7(D) F

y

xOX

Z

Y

F (–2, –1) G (–2, –3) H (–1, –2) J (0, –1)

Wednesday Thursday

3 The volume of a rectangular box is 480 cubic centimeters. If each edge of the box is halved, what is the volume of the new box? 8.10(B) BA 120 c m 3 B 60 c m 3

C 240 c m 3

D 960 c m 3

4 From 1990 to 2000, the population of Texas increased from 16,985,842 to 20,851,820. If the growth rate remained the same, what would be the population of Texas in 2030? 8.16(A) G

F 30,423,729 G 38,575,770 H 47,355,616 J 58,133,754

Friday

5 Ingrid’s age is 5 years less than 2 times Danika’s age. If Ingrid is 25 years old, which equation can be used to determine Danika’s age? 8.14(A) A

A 25 = 2x – 5 B 25 = 2x + 5 C 5 = 2x + 25 D 5x + 2 = 25


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20 Weeks to TAKS

Monday Tuesday


(6 x 4 )(4 x 5 )

_ 3 x 3

? A.11(A) D

A 12 x 4 B 12 x 6 C 8 x 2 D 8 x 6

2 The table below shows the amount in Patricia’s bank account on given birthdays. How old will she be when her account reaches $64,000? 8.16(A) G

Age 21 27 33 39Amount $2000 $4000 $8000 $16,000

F 45G 51H 57J 63

Wednesday Thursday

3 The net of a pyramid is shown below.

2 in.

1.5 in.

Find the surface area of the pyramid to the nearest square inch. 8.8(A) CA 6 in.2

B 8 in.2

C 10 in.2

D 12 in.2

4 What is the slope of the linear function shown in the graph? A.6(A) J

y

xO

F –2G –1H 1J 2

Friday

5 Micha plans to raise money for her Mortar Board chapter by selling Blossom Express Flowers, which gives 20% of sales to the chapter. If her goal is to raise $1500, how much must she reasonably sell in fl owers? A.7(C) BA $5000B $7500C $10,000D $12,500


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19 Weeks to TAKS

Monday Tuesday

1 If (x, 2) is a solution to the equation 2x + 3y = –2, then what is the value

of x? A.7(B) DA 4B 2C –2D –4

2 A cylinder has a radius of 4 centimeters and a height of 25 centimeters. It is being fi lled at a rate of 45 cubic centimeters per second. About how long will it take to fi ll? 8.8(C) HF 14 secG 21 secH 28 secJ 35 sec

Wednesday Thursday

3 How would the graph of the function y = x 2 + 2 be affected if the function were changed to y = x 2 – 4? A.9(C) AA The graph would shift 6 units down.B The graph would shift 6 units up.C The graph would shift 6 units left.D The graph would shift 6 units right.

4 A fabric sample measuring 12 inches long and 18 inches wide is cut in thirds in both directions. What is the area of each resulting piece of fabric? 8.10(A) HF 72 in . 2 G 36 in . 2 H 24 in . 2 J 18 in . 2

Friday

5 �DEF ∼ �KLM is shown below. y

xO

K L

MF

ED

What scale factor was used to transform �DEF to �KLM? 8.6(A) CA 4B 3C 2D 1


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18 Weeks to TAKS

A.1(C) J

Monday Tuesday

1 How do the graphs of f (x) = x 2 + 8 and g (x) = x 2 + 2 relate to each other?A The graph of f (x) is 6 units to the right

of the graph of g (x).B The graph of f (x) is 6 units to the left

of the graph of g (x).C The graph of f (x) is 6 units below the

graph of g (x).D The graph of f (x) is 6 units above the

graph of g (x).

2 The Tower of the Americas is 190 meters tall. Sandy’s father works in the Rand Building, which is 38 meters tall. If she draws a scale model of Rand that is 6 cen-timeters tall, how many centimeters should a drawing of the Tower be? 8.7(B) GF 25 cmG 30 cmH 34 cmJ 40 cm

Wednesday Thursday

3 There are 5 red pencils, 5 green pencils, 8 black pencils, and 7 blue pencils in a jar. What is the probability of choosing a red or blue pencil? 8.11(A) BA 40%B 48%C 60%D 75%

4 Ian sells books door to door. His wage, W, is based on $8.50 per hour, H, plus $20.00 per day for gas and lunch. Which equation best represents this relationship? F W = 20H + 8.5G W = 20(H + 8)H W = 20HJ W = 8.5H + 20

Friday

5 The drawing below shows a triangular magnet connected to 3 square magnets.

If the perimeters of the 2 smaller square magnets are 12 centimeters and 16 centimeters respectively, what is the perimeter of the largest magnet? 8.7(C) BA 16 cmB 20 cmC 24 cmD 28 cm

D


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17 Weeks to TAKS

Monday Tuesday

1 Manuela is trying to decide between 3 video stores. Video Mania charges $5.50 per video. Videos & More charges $20.00 per year plus $3.00 per video. Vid-E-O charges $40.00 per year plus $1.50 per video. Which statement is NOT a valid conclusion?A Video Mania is the most cost effective

for less than 8 rentals per year.B Videos & More is the most cost

effective for 8 to 13 rentals per year.C Vid-E-O is the most cost effective for

more than 13 rentals per year.D Videos & More is always less than

Vid-E-O.

2 What are the x- and y-intercepts of the function graphed below? A.6(E) F

y

xO

F (3, 0) and (0, 3)G (3, 0) and (3, 0)H (0, 3) and (0, 3)J None of these

Wednesday Thursday

3 The Houston Rockets play on a court that measures 94 feet long by 50 feet wide. What is the approximate distance from corner to corner? 8.9(A) CA 70.7 ftB 94.0 ftC 106.5 ftD 132.9 ft

4 Which equation describes a line that has a y-intercept of –3 and a slope of 4? F 12x + 3y = 9G 12x – 3y = –9H 12x – 3y = 9J 12x + 3y = –9

Friday

5 What does the following graph represent? By

xO

A the age of a tree with respect to windB the depth of a rock sinking in the water with respect to timeC the height of a kite with respect to timeD the price of gasoline with respect to time

A.6(D) H

8.14(B) D


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16 Weeks to TAKS

A.3(A) J

Monday Tuesday

1 The table below shows the average annual pay by industry.

Industry Average Salary

Manufacturing $46,233Wholesale $53,185Retail $23,521Construction $36,139Government $32,304

Which of the following statements would be an invalid conclusion? 8.13(B) CA The wholesale salary is more than

2 times the retail salary.B The construction salary is more than

75% of the manufacturing salary.C The government salary is less than

60% of the wholesale salary.D The construction salary is below the

overall average salary.

2 Which statement is true for the graph below? A.2(C) H

Earn

ing

s (h

un

dre

ds

of

$)

4

6

2

0

8

10

12

14

15

Units Sold 321 5 74 6 8 9 10

F Mr. Simms earns $200 even when he sells 0 units.

G Ms. Tonelli earns $100 per unit sold.H Mr. Anderson earns $1500 when he

sells 9 units.J Ms. Dantz earns more than $1000

when she sells 5 units.

Wednesday Thursday

3 Lara receives a $100.00 gift card for the local movie theater, where movies are $9.95. Which equation best describes b, the balance remaining on the gift card after watching n movies? A.1(D) CA n = 100 – 9.95bB n = 9.95bC b = 100 – 9.95nD 100 = 9.95n

4 Sam sells hats for h and scarves for s. He sells 35 hats and 28 scarves on Saturday and 68 hats and 12 scarves on Sunday. Which expression shows his earnings? F 35h + 28h + 68s + 12sG (35 + 12)h + (28 + 68)sH 35s + 28h + 68s + 12hJ h(35 + 68) + s(28 + 12)

Friday

5 What are the factors of the trinomial x 2 + x – 6? A.4(B) AA (x + 3)(x – 2)B (x – 3)(x + 2)C (x + 3)(x + 2)D (x – 3)(x – 2)


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15 Weeks to TAKS

Monday Tuesday


6(x – 3) – 4(2 – x)A –2x + 10B 2x – 10C 10x – 26D 10x + 26

2 If (x, 4) is a solution to the equation5x + 2y = 18, then what is the value of x? A.7(B) GF –2G 2H 4J 6

Wednesday Thursday

3 The Mended Web II was commissioned

by the Museum of Fine Arts, Houston.

It is a cylindrical glass sculpture that

measures 14 inches high by 5 3 _ 16 inches

in diameter. What is the volume of this

artwork? 8.7(B) BA 94.2 in . 2 B 295.9 in . 2 C 376.7 in . 2 D 1184.0 in . 2

4 How would the graph of the function y = x 2 – 15 be affected if the function were changed to y = x 2 + 7? A.9(C) FF The graph would shift 22 units up.G The graph would shift 22 units down.H The graph would shift 22 units left.J The graph would shift 22 units right.

Friday

5 �ABC has vertices A(0, 2), B(4, 4), and C(4, 0). 8.6(A) By

xO

A

B

C

�ABC is dilated by 1 _ 2 and has (0, 0) as center of dilation. What are the coordinates of C' ? A (0, 2)B (2, 0)C (2, 2)D (0, 1)

C


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14 Weeks to TAKS

Monday Tuesday

1 How do the graphs of f (x) = x 2 - 11 and g (x) = x 2 + 3 relate to each other? A The graph of f (x) is 14 units to the

right of the graph of g (x).B The graph of f (x) is 14 units to the left

of the graph of g (x).C The graph of f (x) is 14 units above the

graph of g (x).D The graph of f (x) is 14 units below the

graph of g (x).

2 It costs $8.50 per adult and $5.25 per child to visit the Gladys Porter Zoo. Which expression shows average cost per person for a group of 50 people, with x adults and y children? A.3(A) H

F 50 _ 8.5x + 5.25y

G 50(8.5x + 5.25y)

H 8.5x + 5.25y

_ 50

J 5.25x + 8.5y

_ 50

Wednesday Thursday

3 Which function includes the data set{(–3, –19), (1, 1), (4, 16)}? A.5(C) DA y = –3x – 2B y = 2x – 5C y = 4x – 1D y = 5x – 4

4 If y = –3 x 2 , what is equivalent to y 4 ? F 12 x 8 G 24 x 8 H 81 x 6 J 81 x 8

Friday

5 Which of the following best describes the slope of the line segment? A.6(B) Ay

xO

A The slope of the line is 1 _ 4 .

B The slope of the line is 1 _ 2 .

C The slope of the line is 2.

D The slope of the line is 4.

A.9(C) D

A.11(A) J


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13 Weeks to TAKS

Monday Tuesday

1 The volume of a cylinder is given by the function V = π r 2 h. Which statement is true? A.1(A) DA Height depends on the product of

radius squared and volume.B Radius depends on the product of

volume and height squared.C Volume depends on the product of

height squared and radius.D Volume depends on the product of

radius squared and height.

2 From a stack of alphabet cards, what is the probability of choosing a vowel or a letter after R? 8.11(A) F

F 6 _ 13

G 9 _ 26

H 1 _ 2

J none of these

Wednesday Thursday

3 The following table shows the distribution of population in Texas by age. 8.3(B) B

Age Population

0–18 6,643,60019–64 13,278,43065–74 1,174,45075+ 953,720

What percent of the population is at least 65? A 4.5%B 9.7%C 45.4%D 90.3%

4 What is the slope of the linear function shown in the graph? A.6(A) F

y

xO

F 0.5G 1H 1.5J 2

Friday

5 Lorie is organizing a party for her boyfriend. Guests will be arriving at 5:00 P.M. She has to pick up some supplies at the grocery store, party supply store, and the mall. Driving time is 30 minutes to and from home, and each stop is 15 minutes apart. She expects to spend at least 30 minutes at each location. What is the fi rst step in determining Lorie’s latest departure time? 8.15(A) AA Add all the travel times together.B Add the time it takes to come home to 5:00 P.M. C Add the time it takes to reach the store to 5:00 P.M.D Subtract her departure time from the time the stores open.


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Monday Tuesday

1 Three coins are thrown on the fl oor and the results are recorded in the table below. 8.11(B) C

3 heads 82 heads 101 head 150 heads 7

Which result has the same experimental probability as theoretical probability?A 3 headsB 2 headsC 1 headD 0 heads

2 How can Chantal fi nd the diagonal length of the school gym without measuring it? F Sum the length and width of the gym

and calculate square root of the total.G Add the square of the width and length

of the gym.H Sum the squares of the length and

width of the gym and then calculate the square root of the total.

J Multiply the length and width of the gym together and then calculate the square root of the product.

Wednesday Thursday

3 Texas has an area of 268,601 square miles. What would be its approximate perimeter if it were a square? 8.7(B) BA 1554.8 miB 2073.1 miC 2715.2 miD 3642.9 mi


n 1 2 3 4 5a (n) 3 5 7 9 11

F 4n – 1 H 2n – 1G 3n J 2n + 1

Friday

5 Consider the fi gures shown below. 8.16(A) D

Figure 1 Figure 2 Figure 3

If the fi gures continue to grow according to the pattern shown above, what fi gure number will consist of 27 squares?A 11B 12C 13D 14

12 Weeks to TAKS

8.14(C) H


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11 Weeks to TAKS

Monday Tuesday

1 A toy fi ts in a box that is 15 inches long by 6 inches wide by 6 inches tall. What is the volume of the space that is 4 boxes wide by 4 boxes deep by 4 boxes high? 8.10(B) AA 20 f t 2 B 80 f t 2 C 144 f t 2 D 2160 f t 2

2 A waterbed measures 60 inches by 84 inches by 12 inches. It is being fi lled at a rate of 230 cubic inches per minute. About how long will it take to fi ll the waterbed? 8.8(C) HF 155 minG 214 minH 263 minJ 342 min

Wednesday Thursday

3 The giraffe statue at the Dallas Zoo is 67.5 feet tall. Thomas, who is 5 feet tall, builds a model of himself next to the giraffe. If the giraffe model is 18 inches tall, about how tall should the model of Thomas be? 8.7(B) DA 3.3 in.B 2.8 in.C 2.1 in.D 1.3 in.

4 Helena rents a seat at a salon for $100 per day and earns $30 per customer. If A represents her daily income and H represents the amount she earns per customer, which equation best represents this relationship? A.1(C) GF A = 30H + 100G A = 30H – 100H A = 100H + 30J A = 100H – 30

Friday

5 �ABC is refl ected in the y-axis so that C is mapped to C'.y

xO

B

C

AC'

Which coordinate pair best represents A'? 8.6(B) CA (–1, –3)B (–1, 3)C (1, 3)D (3, 1)


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10 Weeks to TAKS

Monday Tuesday

1 Tonya is a graphic designer who provides basic packages for business people. Business cards come in 8 styles, letterhead is available in 4 styles, and envelopes have 3 styles. Which is the best method to determine the different combinations of business cards, letterhead, and envelopes? 8.14(B) CA Add the total number of choices and

then multiply by 3.B Add the number of business cards to

the number of envelopes and multiply the sum by the number of letterhead.

C Multiply the total number of items in each of the three categories together.

D Multiply the number of options and then divide by 3.

2 The graphs of the linear equations y = 4 – 2x and y = 2 – x are shown below. A.7(B) H

y

xO

If 4 – 2x = 2 – x, what is the value of x? F –2G 0H 2J 4

Wednesday Thursday

3 Which set of measurements could be the side lengths of a right triangle? 8.7(C) CA 5 cm, 8 cm, 9.1 cmB 6.5 cm, 10.5 cm, 13.5 cmC 7 cm, 9 cm, 11.4 cmD 7 cm, 11 cm, 14 cm

4 Judging by Shamu at SeaWorld San Antonio, killer whale calves weigh 2.5 pounds more than 53 times the weight of a human baby. If a killer whale calf weighs 400 pounds, which equation can be used to determine the baby’s weight? 8.14(A) FF 400 = 53x + 2.5G 400 = 53x – 2.5H 400 = 2.5x + 53J 400 = 2.5x – 53

Friday

5 Which equation describes a line that has a y-intercept of –2 and a slope of 4? A.6(D) BA y = 4 + 2xB y = 4x – 2 C y = 4 – 2xD y = 2 – 4x


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9 Weeks to TAKS

Monday Tuesday

1 The table below describes b, the balance remaining on a phone card after t minutes have been used. A.1(D) C

t b

0 $25.0015 $23.6585 $17.35

135 $12.85

Which equation describes this relationship?A 25 = b – 0.09tB b = 0.09tC b = 25 – 0.09tD b = 25 + 0.09t

2 Which equation describes the relation-ship between time and cost to park at Dallas Airport Park ’N Fly as shown in the table? A.1(B) F

Time (t) Cost (C)

2 days $25.505 days $63.758 days $102.00

F C = 12.75tG C = 12t + 1.5H C = 10t + 5.5J C = 5.1t

Wednesday Thursday

3 �ABC ∼ �DEF is shown below.

A

C

B E

F

D

10 cm

8 cm 6 cm

4 cm

What scale factor was used to transform �ABC to �DEF ? 8.6(A) CA 4B 2C 0.75D 0.5

4 The net of a cube is shown below. 8.8(A) J

1.5 cm

What is the surface area of the cube?F 9.0 c m 2 G 10.5 c m 2 H 12.0 c m 2 J 13.5 c m 2

Friday

5 The smallest room in a house measures 10 feet by 8 feet. The basement in the same house is 5 times as long and 5 times as wide. What is the area of the basement? 8.10(A) DA 400 ft2 C 1500 ft2

B 800 ft2 D 2000 ft2


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8 Weeks to TAKS

Monday Tuesday

1 Three points are shown below. Where should point N be placed so that the points form the vertices of a parallelogram?

y

xOM

K L

A (–6, –2)B (–2, 6)C (6, –2)D (6, 2)

2 The chart below shows a breakdown of irrigation of agricultural lands. 8.12(C) H

Land Use Percentage

Cotton 33.0Wheat 16.0Corn 16.0Grain sorghum 9.0Pasture and other feed 8.0Other 18.0

What is the measure of the angle that could be used for the part of the circle graph that represents grain sorghum?F 118.8ºG 57.6ºH 32.4ºJ 9.0º

Wednesday Thursday

3 A mine elevator is 450 feet underground. It ascends at a rate of 7 feet per second. Which equation could be used to determine t, the time in seconds it would take the anchor to reach the surface? A 0 = –7t + 450B 0 = 7t – 450C 0 = 450t – 7D 7t + 450 = 0

4 Michael is selling wristbands for $3 each to raise money for charity. If he wants to raise $2000 for charity, what number of wristbands must he sell to meet his quota? A.7(C) FF 667G 598H 439J 334

Friday

5 The dimensions of a rectangle are 4x + 3 and 3x – 8. Which expression best describes the area of the rectangle in simplest terms? A.4(A) AA 12x 2 – 23x – 24B 12x 2 – 23x + 24C 12x 2 + 32x – 24D 12x 2 + 32x + 24

A.7(A) B

8.7(D) C


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7 Weeks to TAKS

Monday Tuesday

1 What are the x- and y-intercepts of the function graphed below? A.6(E) C

y

xO

A (0, –6) and (0, 2)B (0, –6) and (2, 0)C (–6, 0) and (0, 2)D (–6, 0) and (2, 6)

2 Which does the following graph represent? A.1(E) J

Hei

gh

t

Time

F As time increases, height remains constant.

G As time decreases, height increases.H As time increases, height decreases.J As time increases, height increases.

Wednesday Thursday

3 Paula owns 25 pairs of shoes. The number of dress shoes is 3 more than twice the number of casual shoes. Which system of equations describes the number of dress shoes, d, and casual shoes, c? A.8(A) DA d + c = 25 d = 3 – 2cB d + c = 25 c = 2d + 3C d – c = 25

d = 2c + 3D d + c = 25 d = 3 + 2c

4 Longhorn Cavern State Park is located approximately 6 miles west and 6 miles south of Burnet. About how far is Longhorn Cavern State Park from Burnet in a straight line? 8.7(C) HF 6.0 miG 7.4 miH 8.5 miJ 9.3 mi

Friday

5 A lawn had 2 weeds on day 1. The next morning there were 8. The morning after that there were 32. On what day will there be more than 2000 weeds? 8.16(A) CA day 4B day 5C day 6D day 7


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6 Weeks to TAKS

A.5(A) H

Monday Tuesday

1 The table below lists the 5 most populated cities in Texas in 2004. 8.12(A) A

City Population

Houston 2,033,400San Antonio 1,228,512Dallas 1,211,437Austin 681,437Fort Worth 592,836

Which measure of central tendency will show the lowest population?A meanB medianC modeD range

2 Which formula can be used to fi nd the volume of the composite solid fi gure represented in the drawing? 8.8(B) F

r

h

F V = � 3 + 1 _ 3 π r 2 h

G V = �(�2 + π r 2 h)

H V = � 2 ( � + 1 _ 3 π r 2 ) J none of these

Wednesday Thursday

3 Which of the following equations is NOT quadratic? A.2(A) CA y = 3x(x + 4)B 3 x 2 – y = 16C 4x + 5y = –12D 2 x 2 – 5 = y

4 Which of the following situations cannot be represented by a linear function? F a tree’s height with respect to timeG the distance traveled by a boat with

respect to timeH the price of oil with respect to timeJ the cost of a taxi ride with respect

to time

Friday

5 Which expression is equivalent to (5 x 4 )(4 x 6 )

_ 2 x 5

? A.11(A) CA 7 x 4 B 10 x 2 C 10 x 5 D 20 x 5


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5 Weeks to TAKS

8.13(B) G

Monday Tuesday

1 �KLM ∼ �XYZ is shown below.

L M

ZY

XK

7 8

5.6

4

What scale factor was used to transform �KLM to �XYZ? 8.6(A) A

A 4 _ 5

B 3 _ 4

C 2 _ 3

D none of these

2 The table below shows points scored by various high school basketball teams.

Winning Score Losing Score

48 1553 3975 7364 5061 5348 43

Which of the following statements would be an invalid conclusion for these data?F Average winning score was more

than 55.G Average losing score was less than 45.H Average difference was more than 10.J Average total points scored was more

than 100.

Wednesday Thursday

3 What is the domain of the functiony = 5x + 4 when x ≥ 0? A.2(B) CA x ≥ 4B x > 4C x ≥ 0D x > 0

4 The daytime speed limit on interstate and state highways in Texas is 70 miles per hour. At night, the maximum is 65 miles per hour. In what way would the graph showing distance traveled at night differ from one showing daytime travel? A.6(F) FF The slope would decrease.G The slope would increase.H The y-intercept would decrease.J The y-intercept would increase.

Friday

5 Martino started the day with 30 fi les in his inbox. He checked the number of fi les left each hour and wrote the number down. His list looked like this: 30, 25, 27, 22, 24, 19, 21. How many hours will it take him to empty his inbox? 8.16(A) DA 10 C 16B 13 D 19


Name Date

Countdown to TAKS

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4 Weeks to TAKS

Monday Tuesday

1 Which statement is true for the graph below? A.2(C) A

Val

ue

of

Sale

s (h

un

dre

ds

of

$)

10

15

5

0

20

25

Number Sold 302010 50 7040 60 80 90100

Fun Pass Sales

A 80 FunPass tickets equal $1600.B Each FunPass is worth $25.C More than 60 FunPass tickets must be

sold to earn $1000 in sales.D The show earns more than $2000 when

it sells 90 FunPass tickets.

2 �PQR is shown below. 8.6(A) Hy

xO

QP

R

�PQR is dilated by a scale factor of 2 and has the origin as the center of dilation. What are the coordinates of Q'?F (–8, 8)G (–8, 2)H (–2, 8)J (–2, 0)

Wednesday Thursday

3 Andre believes that the value representing the area of a square is always greater than the value representing the perimeter of a square. Which side length disproves this theory? 8.16(B) DA 16 cmB 10 cmC 6 cmD 3 cm

4 Under what conditions is the mode NOT the best indicator of average? 8.12(A) GF when determining the best type of

sandwich sold in a restaurantG when trying to fi nd the range in heights

of high school studentsH when determining the most common

production levels of cherry treesJ when trying to determine the most

common shoe size among students

Friday

5 What is the range of the function y = x 2 – 3x + 4? A.2(B) DA x > 1.5B x ≥ 1.5C y > 1.75D y ≥ 1.75


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Countdown to TAKS


3 Weeks to TAKS

8.1(B) C

A.2(D) F

Monday Tuesday

1 Alicia is going on a trip. She packs 2 pairs of jeans (black, blue), 3 skirts (red, black, gray), 3 T-shirts (white, black, blue), 2 dress shirts (white, blue), and 3 pairs of shoes (casual, sandals, heel). Which is the best way to determine how many different outfi ts she will have? 8.14(C) AA Multiply the number of total shirts

by the sum of skirts and pants by the number of shoes.

B Add the number of shirts, shoes, pants, and skirts together.

C Multiply the number of shirts by the number of pants and shoes.

D Add the number of pants and shirts, and multiply by the number of shoes.

2 The table below shows the number of hours that Leo practices per week and total points he scored in two games played that week.

Hours of Practice 5 6 7 8 9 10

Game 1 15 19 25 27 33 36Game 2 18 22 27 31 35 41

Based on these results, if Leo practices 8 hours per week, which is the best estimate of points he will score per game? F 29G 14H 44J 22

Wednesday Thursday

3 The recommended counselor to student ratio is 250:1. About how many counselors should there be for 212,531 students? A 750B 800C 850D 900

4 If ABCD is similar to WXYZ, what is the approximate length of

−− BC ? 8.9(B) H

9 cm

9 cm

6.5 cm

15 cm

D C

BW X

Y Z

A

F 15.0 cmG 12.0 cmH 10.8 cmJ 5.4 cm

Friday

5 How would the graph of y = 2x – 5 change if the coeffi cient of x was –2 and the constant term was 5? A.6(C) BA The slope becomes negative and the y-intercept becomes –5.B The slope becomes negative and the y-intercept becomes 5.C The slope becomes positive and the y-intercept becomes –5.D The slope becomes positive and the y-intercept becomes 5.


Name Date

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2 Weeks to TAKS

Monday Tuesday

1 A cylinder with radius, r, and height, h, is shown below. 8.15(A) A

r

h

The value of π is the result of which of the following ratios?

A S ______ 2 r 2 + 2rh

B 2 r 2 + 2rh _ S

C 2S r 2 _ 2rh

D 2rh _ 2Sh

2 The line segment on the graph below shows the distance remaining until a tugboat reaches the end of its journey. Which statement best describes the slope of the line segment? A.6(B) H

Dis

tan

ce( f

t)

400

600

200

0

800

1000

1200

1400

Time (min)4 8 126 14102

F The tugboat travels at 50 ft/min.G The tugboat travels at 75 ft/min.H The tugboat travels at 100 ft/min.J The tugboat travels at 150 ft/min.

Wednesday Thursday

3 Which of the following equations is linear? A.2(A) DA y = 3 x B y = 3x + 4 x C y = 4 x 2 + 3x - 513D y = 5x + 2

4 The King Ranch in Kingsville is the largest ranch in the U.S. at 825,000 acres. What is the area of one section if each dimension is divided by 10? 8.10(A) GF 82,500 acresG 8250 acresH 825 acresJ 82.5 acres

Friday

5 Which of the following situations can be determined by a linear function? A.5(A) DA the price of bottled water with respect to timeB the position of a spoke on a bicycle wheel with respect to timeC the height of a ball thrown into the air with respect to timeD the depth of an ascending submarine with respect to time


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Countdown to TAKS


1 Week to TAKS

Monday Tuesday

1 Lines m and n are parallel. Both lines are cut by transversals a and b. 8.16(B) D

ab

m

n

1 3

6

5

2 4 7

Which statement is NOT a valid conclusion?A ∠1 = ∠2B ∠4 + ∠7 = 180°C ∠5 = ∠3 + ∠1D ∠6 = ∠1 + ∠3

2 Consider the 3-dimensional fi gure below.

How many blocks can be seen from the right side? 8.7(A) GF 2G 4H 8J 16

Wednesday Thursday

3 Texas covers 268,581 square miles. Rhode Island covers 1545 square miles. Which of these best represents their proportional relationship? 8.1(B) AA 174:1B 184:1C 194:1D 204:1

4 What is the equation of the line that passes through the points at (3, 6) and (–5, 2)? F 2x + y = 9G y = 2x + 9H y = 2x – 9J 2y – x = 9

Friday

5 Mai records the following data after riding her bike around the school track.

Time (seconds) Distance (meters)

15 6030 12045 180

If Mai continues to ride at the rate shown in the table, what is the approximate distance she will bicycle in 5 minutes? A.6(G) CA 900 m C 1200 mB 1050 m D 1350 m

A.6(D) J


100-111_BT1_TX_877323.indd 100100-111_BT1_TX_877323.indd 100 6/28/06 4:38:32 PM6/28/06 4:38:32 PM


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best answer.

1 How would the graph of the function y = x2 - 3 be affected if the function were changed to y = x2 + 4? A The graph would shift 7 units down.B The graph would shift 7 units up.C The graph would shift 7 units to

the left.D The graph would shift 7 units to

the right.

2 Emily is 3 years more than twice Ashley’s age. If Emily is 19 years old, which equation can be used to determine Ashley’s age? F 2(x + 3) = 19G 2x + 3 = 19H 2x – 3 = 19J 3x + 2 = 19

3 Which of the following functions is linear? A y = 2x(x + 3)

B y = 4 _ x

C y = x2 - 3D y = 3x + 4

4 Which expression is equivalent to (4x5)(6x6)

_ 3x4 ?

F 6x9 H 8x7 G 7x7 J 12x7

5 Sharon knows that the Wells Fargo Plaza in Houston is about 970 feet tall. She wants to create a scale model using the ratio 50:1. How tall will her scale model be? A 194.0 ft C 50.0 ftB 97.0 ft D 19.4 ft

6 � ABC is similar to � DEF.

C

BA 7 E

F

D 3.5

14

6 7

12

What scale factor was used to transform � ABC to � DEF ?

F 1 _ 4 H 2

G 1 _ 2 J 4

7 A balloon is launched on a meadow located on Guadalupe Peak from an elevation of 8150 feet above sea level. If the balloon rises at a constant rate of 45 feet per minute, which equation could be used to determine t, the time in minutes it would take the balloon to reach the mountain’s peak at 8749 feet above sea level? A 8150 + 45t = 8749B 8749 + 45t = 8150C 8749 = 8150t + 45D 8749 = – 8150 = 45t

8 James has to repaint the sides of his farm’s water tank, which has a radius of 4.5 meters and a height of 8 meters. What is the surface area of the water tank being painted? F 113.1 m2

G 226.2 m2

H 289.8 m2

J 353.4 m2

Benchmark Test 1


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y

xO

A ( 0, 5 _ 3 ) and (3, 0)

B ( 0, 5 _ 3 ) and (0, 3)

C ( 5 _ 3 , 0 ) and (0, 3)

D ( 5 _ 3 , 0 ) and (3, 0)

10 Ryan’s salary is based on a commission of 20% of his weekly sales. Which statement best represents the functional relationship between his salary and the amount he sells? F His salary is dependent upon how much

he sells.G How much he sells is dependent upon

his weekly salary.H His salary and how much he sells are

independent of each other.J The relationship cannot be determined.

11 The depth of a lake is shown in the table. About how deep was the lake in 1955?

Depth Year75 ft 200077.3 ft 198579.7 ft 1970

A 79.6 ft C 84.4 ftB 82.0 ft D 86.9 ft

12 What is the domain of the function in the graph shown below?

y

xO

F -2 ≤ x ≤ 2G -2 < x < 2H x ≥ -3J x ≤ -3


Which best represents the shape of the solid when viewed from the front?A rectangleB pentagonC hexagonD octagon

Benchmark Test 1 (continued)



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14 Robert has a credit card that rewards his purchases with a 3% refund check at the end of the year. How much will he have to charge to his credit card in order to receive a $450 check? F $13,500G $15,000H $27,500J $45,000

15 Which function includes the data set {(0, –1), (2, 5), (5, 14)}? A 3x – 1B 2x + 4C 2x + 1D x + 1

16 Eric is spending a weekend with his friend Patrick in Dallas. He has $250 for his weekend expenses, which includes paying $36 for his Dallas Stars ticket in the Priority Terrace. He knows that the taxi ride to the arena will cost $10 each way. He plans to pick up the tab for dinner, which should be around $50. Which equation should he use to calculate g, the amount he can spend on gifts for his family? F g = 250 – [36 + 10(2) + 50]

G g = 250 – 36 + 10 + 50H g = 250 – 10(2) – 50 + 36J g = 250 – 2(36 + 10 + 50)

17 How do the graphs of the functions f(x) = x2 + 12 and g(x) = x2 + 1 relate to each other? A f(x) is 11 units above g(x).B f(x) is 11 units below g(x).C f(x) is 11 units to the left of g(x).D f(x) is 11 units to the right of g(x).

18 Which equation best describes the relationship between the corresponding values of x and y in the table?

x –3 0 2 4y –7 2 8 14

F y = 3x + 2 H y = x – 4G y = 2x – 1 J y = –10 – x

19 Ciara bought a fi sh tank that measures 30 inches long by 12 inches wide by 18 inches high. She puts in 1 inch of gravel to line the bottom of the tank. She also puts in a cylindrical water fi lter that has a radius of 1 inch and a length of 14 inches. She fi lls the tank with water to 1 inch below the top of the tank. What is the best strategy for determining the volume of water the fi sh have for swimming? A (30)(12)(18 - 1) - π(1)214B (30)(12)(18 - 2) - π(1)2(12 - 2)C (30)(12)(18) - π(1)214D (30)(12)(18 - 2) - π(1)214


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20 A prize drum holds 7 red balls, 12 green balls, 18 yellow balls, and 13 orange balls. What is the probability of drawing 2 orange balls in a row with replacement?

F 324 _ 2500

H 144 _ 2500

G 169 _ 2500

J 49 _ 2500

21 Admission to the Dallas Museum of Art is $10 for adults and $5 for students. During one day of the Robert Smithson exhibit, 150 more adults than students attended. The museum took in $11,250. Which system of equations could be used to fi nd the number of adults, a, and students, s, that attended that day? A s = a + 150 10a + 5s = 11,250B a = s + 150 5a + 10s = 11,250C a = s + 150 10a + 5s = 11,250D a = s – 150 5a + 10s = 11,250

22 Quadrilateral WXYZ has vertices W(–2, 4), X(4, 4), Y(4, –2), and Z(–2, –2).

y

xO

Y

X

Z

W

WXYZ is dilated by a scale factor of 1 _ 2 and has the origin as the center of dilation. What are the coordinates of Y´? F (2, 2)G (2, –1)H (–1, 2)J (–1, –1)

23 What is the slope of the line given by the equation y = 3x + 7? A 7 C 3

B 1 _ 3 D 1 _

7

24 Terry believes that when calculating measures of central tendency, the mean, median, and mode will always produce different results. Which set of values disproves this theory? F 23, 24, 24, 24, 25G 23, 24, 25, 26, 27H 23, 23, 24, 25, 25J 23, 24, 24, 24, 24

25 Adam has a choice of 3 membership options at his local pool hall. Option A charges $25.00 per month and a $0.50 per hour table fee. Option B charges $20.00 per month and a $0.75 per hour table fee. Option C charges $17.00 per month and a $1.00 per hour table fee. Which statement is NOT a valid conclusion? A Option A is more cost effective if he plays

more than 20 hours of pool per month.B Option B is more cost effective if he

plays between 12 and 20 hours of pool per month.

C Option B is always more cost effective than Option A but not always more cost effective than Option C.

D Option C is more cost effective if he plays less than 12 hours of pool per month.

26 Deena makes beaded necklaces and sells them at local jewelry stores. She fi nds that she can make 1 necklace every 20 minutes and can work for 6 hours per day. How many necklaces could she make in 2 weeks? F 84 H 252G 126 J 680




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27 The City of Houston taxi meter rate is applied to all taxi companies within the city. The cost of a trip, T, is based on the number of miles, M, at a rate of $1.65 per mile plus $4 for the fi rst mile. Which equation best represents this relationship? A T = 4M + 1.65B T = 1.65M + 4C M = 1.65T + 4D 4 = 1.65T + M


Car Rental Charges

Tota

l Co

st (

tho

usa

nd

s o

f $)

100150

500

200250

350300

Number of Days 321 5 74 6 8 9 10

F Mr. Murphy will spend $100 if he rents a car for 3 days.

G Ms. Tse will spend more than $150 if she rents a car for 5 days.

H Mr. Tulov will spend less than $250 if he rents a car for 9 days.

J Ms. Santos will spend $240 if she rents a car for 8 days.

29 A round balloon with a radius of 8 centimeters is blown up to a radius of 15 centimeters. By how much did the balloon increase in volume? A 11,992.5 cm3

B 14,137.2 cm3

C 21,446.6 cm3

D 29,377.3 cm3

30 The graphs of the linear equations y = 1 + 2x and y = 5 – 2x are shown below.

y

xO

If 1 + 2x = 5 – 2x, what is the value of x? F 1 H 5G 3 J 7

31 The area of a rectangle is 2x2 + 11x + 15, and the width is x + 3. Which expression best describes the rectangle’s length? A 2x + 8B 2x + 5C 2x + 3D 2x + 1

32 The Kimbell Art Museum in Fort Worth has a roof consisting of 7 semi-cylindrical sections (each section is half a cylinder with no top or bottom). Each semi-cylindrical section is 23 feet in diameter and 100 feet long. If each section were perfectly round, what would be the approximate surface area of one roof section? F 2300.5 ft2

G 3612.8 ft2

H 7225.6 ft2

J 12,785.9 ft2


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33 The volume of a cylinder is 942.5 cubic centimeters. If the radius and height are doubled, what is the volume of the new cylinder?


9

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6

5

4

3

2

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9

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7

6

5

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3

2

1

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0

34 The line segment on the graph shows the distance a car must travel along the on-ramp to enter the highway. Which of the following best describes the slope of the line segment?

Dis

tan

ce (

met

ers)

4060

20

0

80100120140160160

Time (seconds)64 10 1282

A The car approaches the highway at 12.0 m per 2 seconds.

B The car approaches the highway at 12.5 m per second.

C The car approaches the highway at 8.0 m per second.

D The car approaches the highway at 6.0 m per second.

35 Vincent collects baseball cards. He has 13 cards for each of his favorite teams: the Texas Rangers, the Houston Astros, the Minnesota Twins, and the Arizona Diamondbacks. As an experiment, he pulls a random card from the deck, marks the team in a table, and returns the card to the deck. The results are shown in the table below.

Team Draws

Rangers 17Astros 5Twins 10

Diamondbacks 8

Which team has the same experimental probability as theoretical probability? F RangersG AstrosH TwinsJ Diamondbacks

36 Which of the following situations can NOT be represented by a linear function? A the distance traveled by a car at

constant speed with respect to timeB the heart rate of a jogger with respect

to timeC the height of a burning candle with

respect to timeD the weight of a car with respect to

its speed

100-111_BT1_TX_877323.indd 106100-111_BT1_TX_877323.indd 106 6/30/06 8:41:40 AM6/30/06 8:41:40 AM


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37 Consider the fi gures shown below.

If the number of circles continues to grow according to the pattern shown above, what fi gure number will consist of 27 circles? F 13G 14H 15J 16

38 A basketball coach tracks the number of free throws that his team takes each game and the total points scored during that game. The graph shows the results of his tracking.

Tota

l Po

ints

Sco

red

2030

10

0

405060

Number of Free Throws2 4 6 8 10

Based on these results, if the team takes 10 free throws during a game, which is the best estimate for the number of points the team will score? A 45B 50C 60D 75

39 Quadrilateral KLMN is shown below.y

O

M

N

K

L

If the quadrilateral is refl ected across the y-axis, what will be the coordinates of L´? F (–4, –6)G (–4, 6)H (4, –6)J (4, 6)

40 To reach the M.K. Brown Boy Scout Camp, which is part of the Panhandle Plains Wildlife Trail, you have to drive 5.6 miles west from Wheeler and then 3.2 miles north. About how far is Wheeler from the camp entrance? A 41.6 miB 24.3 miC 8.8 miD 6.4 mi

41 Andrew scored 24, 19, 23, and 24 points in his last 4 basketball games. If he scores 17 points in his next game, which measure of central tendency will give him the highest score? F meanG medianH modeJ range


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42 Lucas received a gift card for $40.00 worth of video game rentals from the gaming store. If the cost of renting a game is $1.75, which table best describes b, the balance remaining on the gift card after he rents n videos?

A

n b0 $40.002 $36.506 $29.5010 $22.5015 $15.75

B

n b0 $40.003 $34.756 $28.5010 $22.5014 $15.50

C n b0 $40.001 $38.253 $34.755 $31.2510 $22.50

D

n b0 $40.004 $33.008 $26.0012 $22.0020 $6.00

43 Simplify the algebraic expression. 2(x - 5) + 3(x + 4)

F x + 12G 5x – 2H 5x + 2J 6x – 20

44 Consider the graph below of a balloon rising vertically from the ground.

Hei

gh

t (f

t)

100150

50

0

200250300

Time (min) 321 5 74 6 8 9 10

What would happen if the slope were decreased? A The balloon would increase speed.B The balloon would decrease speed.C The balloon would change direction.D There would be no change in speed.

45 What will happen to the slope of the line in the graph if the x-intercept remains the same and the y-intercept changes to 3?

y

xO

F The slope will increase.G The slope will remain the same.H The slope will change from negative to

positive.J The slope will change from positive to

negative.



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46 Tara sells collectible fi gurines through her Web site for $8.99 each. If she wants to raise $2000 per month through her Web site, what is a reasonable number of fi gurines she must sell?


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0

47 Consider the two similar shapes shown below.

15 cm

6 cm

6 cm9 cm

3 cm

15 cm 5 cm

yx

What are the lengths of x and y? A 6 cm, 2 cmB 6 cm, 3 cmC 9 cm, 3 cmD 9 cm, 2 cm

48 One of Georgia O’Keefe’s most famous paintings is called Oriental Poppies. The canvas has an area of 1200 square inches and a perimeter of 140 inches. What are the dimensions of the canvas? F 30 in. by 40 in.G 48 in. by 25 in.H 60 in. by 20 in.J 80 in. by 15 in.

49 A hockey team consists of 12 forwards and 6 defensemen. The forwards scored an average of f points this season, while the defensemen scored an average of d points this season. Which expression gives the average point total per player for the entire team?

A 12d + 6f

_ 18

B 12f + 6d

_ 18

C 18(12f + 6d)

D 18 _ 12f + 6d

50 Which point on the grid below satisfi es the conditions x > 3.5 and y < 2.5?

xO

CD

BA y

F point A H point CG point B J point D


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51 The land areas of the 6 largest U.S. states are shown in the table below.

StateArea

(Square Miles)Alaska 656,425Arizona 114,006California 163,707Montana 147,046New Mexico 121,593Texas 268,601

Which of the following is an appropriate scale for the vertical axis of a bar graph representing these data? A 0 to 700,000 mi2 in 100,000 mi2 unitsB 0 to 1,000,000 mi2 in 100,000 mi2 unitsC 0 to 1,000,000 mi2 in 10,000 mi2 unitsD 0 to 500,000 mi2 in 100,000 mi2 units

52 If (x, 3) is a solution to the equation 4x + 2y = 22, then what is the value of x? F 8 H 5G 6 J 4

53 What does the amount of water required to fi ll a bucket best represent? A the bucket’s massB the bucket’s surface areaC the bucket’s volumeD none of these

54 Which expression best represents the area of a square with sides of 3x2y4? F 6x4y8

G 6x4y16

H 9x4y8

J 12x2y4

55 Which graph best represents the relationship between the height of a building and the amount of time that passes as the building is being constructed? A

Hei

gh

t

Time

B

Hei

gh

tTime

C

Hei

gh

t

Time

D

Hei

gh

t

Time

56 In the system of equations 3x + 5y = 15 and 4x + 9y = –19, which expression can be correctly substituted for y in the equation 4x + 9y = –19?

F y = 3 + 3 _ 5 x

G y = 3 + 5 _ 3 x

H y = 3 - 5 _ 3 x

J y = 3 - 3 _ 5 x



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57 The scale factor of two similar polygons is 3:5. The perimeter of the smaller polygon is 75 centimeters. What is the perimeter of the larger polygon? A 25 cm B 45 cm C 75 cmD 125 cm

58 The fi gure shown below consists of a square with sides measuring 8 units each and a right isosceles triangle on top of the square. What are the approximate lengths of the other two sides of the triangle?

F 4 unitsG 4.3 unitsH 5.7 unitsJ 8 units


slope of 2 _ 3 and a y-intercept of 6?

A 3y + 2x = 18B 3y – 2x = 18C 3x – 2y = 18D 2x + 3y = 18

60 The table below shows the level of education among people 25 years of age or older in the state of Texas.

Texans 25 Years and OlderLevel of Education Percent

Less than 9th grade 11.59th–12th grade (no diploma) 12.8High school grad 24.9Some college, no degree 22.3Associate degree 5.3Bachelor’s degree 15.6Graduate or professional degree 7.6

Based on these data, which of the following statements is true?F More than one quarter of the people

have not completed high school.G Three times as many people have a

bachelor’s degree compared to people with a graduate or professional degree.

H More than 75% of people are high school graduates.

J More than 1 _ 3 of the people have at least a bachelor’s degree.


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best answer.

1 How would the graph of the function y = x2 + 5 be affected if the function were changed to y = x2 - 4? A The graph would shift 9 units down.B The graph would shift 9 units up.C The graph would shift 9 units to the left.D The graph would shift 9 units to

the right.

2 William is 5 years less than twice Jeff’s age. If William is 31 years old, which equation can be used to determine Jeff’s age? F 2x + 5 = 31G 2x – 5 = 31H 2(x – 5) = 31J 5x + 2 = 31

3 Which of the following functions is not linear? A y = 2(x - 3)B y = 3x + 4C y = 3x(4 - x)D y = 4 + (2 - x)


(7x5)(6x6)

_ 2x3 ?

F 21x8 H 21x10

G 11x8 J 14x14

5 Burnett Plaza is the tallest building in Fort Worth at a height of 567 feet. Ethan wants to build a scale model of the building using the ratio 40:1. About how tall will his scale model be? A 14.2 ft C 28.4 ftB 22.3 ft D 56.7 ft

6 �ABC is similar to �XYZ.

Y

ZXCCA

B

5

6

96

7.5

4

What scale factor was used to transform �ABC to �XYZ?

F 1 _ 2 H 4 _

3

G 3 _ 2 J 2

7 A worker is washing the windows on the Bank One Center in Dallas. The building is 787 feet tall. The worker is currently 575 feet above the ground. If his lift descends the building at a rate of 3 feet per 10 seconds, what equation could be used to determine t, the time in minutes it would take to reach the ground? A 787 – 575 = 18tB 575 = 18tC 575 – 3t = 787D 3t = 787

8 In an effort to raise money and pay off debts, in 1879 the state of Texas sold plots of land at $0.50 an acre. An acre is equal to 43,560 square feet. If a farmer purchased a plot of land that measured 900 yards by 1200 yards, how much would it have cost at the time? F $12.40G $24.80H $55.79J $111.57

Benchmark Test 2



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y

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A (–1.5, 0) and (3, 0)B (–1.5, 0) and (0, 3)C (0, –1.5) and (3, 0)D (0, –1.5) and (0, 3)

10 Reneta has a gym membership that has an annual $199 administration fee and a $2 per use fee. Which statement best represents the functional relationship between how often she goes to the gym and how much she pays per year? F Her administration fee is dependent

upon how much she pays per year.G Her administration fee is dependent

upon how often she uses the gym.H Her daily gym fee is dependent upon

her annual fee.J Her annual gym fee is dependent upon

how often she uses the gym.

11 Gabriela’s parents planted a tree to celebrate her birth. On each of her birthdays, her father counted the number of branches on the tree. The table shows the results.

Age 0 1 2 3 4Branches 1 3 9 27 81

On which birthday will the number of branches exceed 2000? A 6 C 8 B 7 D 9

12 What is the range of the function in the graph shown below?

y

xO

F x ≤ 3 H y ≥ 3G x ≥ 3 J y ≤ 3


Which best represents the shape of the solid when viewed from the top? A hexagon C squareB rectangle D trapezoid


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14 Rosanna works 30 hours per week in a bicycle store. She earns $6.50 per hour plus a 10% commission on every bike and accessory she sells. If Rosanna gets a raise of $0.75 per hour and her commission is raised by 2%, how much would she earn if she sells $6500 worth of bikes and accessories for the week? F $845.00G $867.50H $975.00J $997.50

15 Which function includes the data set{(–2, 7), (1, 1), (3, –3)}? A y = 3x + 13B y = -x + 5C y = 3 – 2xD y = 1 – 3x

16 Luis spent $8400 renovating his home. Of this, he spent $3900 on furniture. He put in wood fl ooring at a cost of $4.50 per square foot. Which of the following equations can be used to determine how many square feet of wood fl ooring, f, Luis purchased to renovate his home? F 4.50f + 3900 = 8400G 3900 – 4.50f = 8400H 3900f – 4.50 = 8400J 8400 + 4.50f = 3900

17 How do the graphs of the functions f(x) = x2 - 3 and g(x) = x2 - 5 relate to each other? A f(x) is 2 units below g(x).B f(x) is 2 units above g(x).C f(x) is 2 units to the left of g(x).D f(x) is 2 units to the right of g(x).


x –3 –1 2 5y –5 –1 5 11

F y = x – 2 H y = 3x + 4G y = 2x + 1 J y = 8 + x

19 Moody Gardens in Galveston has an attraction called Aquarium Pyramid, which holds more than 8000 specimens of marine life. The pyramid has a rectangular base that measures 322 feet long by 220 feet wide and a height of 128 feet. What is the approximate volume of this structure? A 2,266,880 ft3

B 2,576,000 ft3

C 3,022,506.7 ft3

D 9,067,520 ft3

20 A dryer contains 8 black socks, 6 blue socks, 10 white socks, and 4 gray socks. If Marta reaches into the dryer, what is the probability that she will choose 2 white socks in a row without replacing the fi rst sock? F 12.8%G 11.9%H 7.1%J 5.9%



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21 Admission to the San Antonio Zoo is $8 for adults and $6 for children. During a 3-hour period after the zoo opened its doors, the zoo recorded 22 more adults than children and took in $4992. Which system of equations could be used to fi nd the number of adults, a, and children, c, who attended during that period? A a + c = 22 8a + 6c = 4992B a = c – 22 6a + 8c = 4992 C a = c + 22 8a + 6c = 4992D a = c + 22 6a + 8c = 4992

22 �DEF has vertices D(–2, 4), E(3, 5), and F(1, 1).

y

xO

E

F

D

�DEF is dilated by a scale factor of 2 and has the origin as the center of dilation. What are the coordinates of E'? F (2, 2)G (6, 10)H (10, 10)J (10, 6)

23 What is the slope of the line given by the

equation 3y + 2x = 12?

A –4 C 2 _ 3

B - 2 _ 3 D 4

24 Which statement about the fi gures below is true?

F All 4 have 2 sets of parallel sides.G All 4 have 2 perpendicular sides.H All 4 have perpendicular bisectors.J All 4 have 90˚ angles.

25 Jen goes to the store to purchase a case of bottled water. She can buy the 24-pack for $4.99, the 30-pack for $5.99, or the 36-pack for $6.99. Which statement is a valid conclusion? A All 3 are equal in comparative value. B The 36-pack is most cost effective.C The 30-pack is most cost effective.D The 24-pack is most cost effective.

26 A pencil manufacturer purchased a machine that could visually inspect 23 pencils per second for defects. How many pencils could the machine inspect if it ran nonstop for 2 weeks? F 1,159,200G 1,987,200H 12,230,500J 27,820,800


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27 The Bicycle Sport Shop in Austin rents mountain bikes. The cost to rent the bike, C, is $28 for the fi rst day and then $24 per day after that. If d represents the number of days the bike is rented, which equation best represents the total cost? A C = 28d + 24B C = 24(d – 1) + 28C C = 24d + 28D C = 24d


Salesperson’s Earnings

Earn

ing

s (h

un

dre

ds

of

$)

23

1

0

45

76

89

Units Sold 321 5 74 6 8 9

F Mr. Singh earns $600 when he sells 5 units.

G Ms. Amarova earns no income when she sells 0 units.

H Mr. Stimson earns $1000 when he sells 9 units.

J Ms. Satorelli earns $89 per unit sold.

29 What is the approximate surface area of a hemi-spherical unbrella with a diameter of 3.5 feet? A 9.6 ft2

B 11 ft2

C 19.2 ft2

D 38.5 ft2


y

xO

If 3 + 2x = 2 – 3x, what is the value of x?

F -2 3 _ 5 H 1 _

5

G - 1 _ 5 J 2

3 _ 5

31 The area of a rectangle is 6x2 + 4x - 10 and the width is 2x – 2. Which expression best expresses the rectangle’s length? A 3x – 2B 3x + 2C 3x + 5D 3x – 5

32 The Roofi ng Depot sells roofi ng tiles for $3.25 per square foot. One side of a roof is shaped like a trapezoid, with the length of the base at 45 feet and the length along the top at 40 feet. The perpendicular distance is 12 feet. How much will it cost to cover this section of the roof? F $1560G $1602H $1657J $1755



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33 The volume of a rectangular prism is 576 cubic centimeters. If the width and length are doubled, what is the volume of the new box?


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34 The line segment on the graph shows the height of a drop of water on a pane of glass with respect to the time it takes to reach the bottom of the glass. Which of the following best describes the slope of the line segment?

Hei

gh

t (i

n)

23

1

0

456789

10

Time (seconds) 64 10 148 12 16 18202

A The drop approaches the bottom of the window at 2 in. per second.

B The drop approaches the bottom of the window at 1 in. per second.

C The drop approaches the bottom of the window at 0.5 in. per second.

D The drop approaches the bottom of the window at 0.25 in. per second.

35 Angela throws a 6-sided number cube 30 times and records the results in the table below.

Result Numberof Times

1 32 73 104 55 26 3

Which number has the same experimental probability as theoretical probability? F 2G 3H 4J 6

36 Which of the following situations can be represented by a linear function? A the height of a tree with respect to timeB the height of a tree with respect to

temperatureC the height of a tree with respect to

precipitationD the height of a tree with respect to wind

speed


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37 Arctic scientists recorded the height of an iceberg in the table shown.

Year Height in Ft

1982 49.91988 47.41994 45.02000 42.75

About how high should the iceberg be in 2006? F 38.6 ftG 40.6 ftH 42.75 ftJ 47.25 ft

38 A football coach tracks the number of yards in penalties that his team gets each game and the total game points scored. The graph shows the results of his tracking.

Poin

ts S

core

d

1015

5

0

2025

3530

4045

Penalties (yd)302010 50 7040 60 80 90

Based on these results, if the team keeps the penalties down to 35 yards per game, which is the best estimate for the number of points the team will score? A 18B 28C 38D 48

39 �XYZ is shown below.y

xO

X

Y

Z

If the triangle is refl ected across the y-axis, what will be the coordinates of X'? F (3, 3)G (–3, 3)H (3, –3)J (–3, –3)

40 Big Bend National Park offers plenty of opportunities to go camping and exploring. If you traveled east from the Park Headquarters Visitor Center for 3 miles and then directly south along the Green Gulch for 6 miles, about how far would you be from the Visitor Center? A 4.5 miB 6.7 miC 9 miD 12 mi

41 Denise received grades of 85, 72, 81, 79, and 92 on her last 5 science tests. If she scores 85 on her next science test, which measure will give the highest result? F meanG medianH modeJ range



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42 Danny purchases a $25.00 player’s card at Gamers’ World, where games are played using card credits instead of coins. If video games cost $1.25 each, which table best describes b, the balance remaining on the player’s card after he plays n video games?

A

n b0 $25.002 $22.506 $18.5010 $12.5015 $6.25

B

n b0 $25.003 $21.256 $17.5010 $12.5014 $8.50

C

n b0 $25.001 $23.753 $21.255 $19.2510 $12.50

D

n b0 $25.002 $22.504 $20.006 $17.5010 $12.50

43 Simplify the algebraic expression. 3(x + 4) - 2(x - 3)

F 5x + 18G x + 18H x + 6J x – 6

44 Consider the graph below of the temperature of a piece of metal being heated by a fl ame.

Tem

per

atu

re (

°C)

2030

10

0

4050

7060

8090

Time (s) 321 5 74 6 8 9

What would happen to the graph if the temperature of the metal were 20°C at the start? A The slope would remain the same, but

the y-intercept would change.B The slope would increase, but the

y-intercept would remain the same.C The slope would decrease, but the

y-intercept would remain the same.D There is not enough information to

determine a solution.

45 What will happen to the line in the equation y = 3x + 4 if m remains the same and b changes to –4? F The slope will remain the same and the

line will move up 8 units.G The slope will remain the same and the

line will move down 8 units.H The slope will remain the same and the

line will move left 8 units.J The slope will remain the same and the

line will move right 8 units.


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46 Alisha is baking chocolate chip cookies for the school bake sale. She can bake 18 cookies per tray and 3 trays of cookies per day. How many cookies can she reasonably bake in a week?


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47 Consider the two similar shapes shown below.

A

D

F

E

C

B

12 8

15

20

6

What is the length of the missing side? A 30 unitsB 24 unitsC 18 unitsD 12 units

48 Goose Island State Park is home to the “Big Tree,” which is believed to be one of the largest live oak trees in the United States. It has a circumference of 35 feet, a height of 44 feet, and a crown spread of 90 feet. What is the approximate diameter of the tree trunk? F 5.6 ftG 11.1 ftH 14.0 ftJ 28.6 ft

49 A high school science class consists of 15 girls and 12 boys. The girls achieved an average grade of g on their tests, and the boys achieved an average grade of b on theirs. Which expression gives the average grade per student for the entire class?

A 15b + 12g

_ 27

B 15g + 12b

_ 27

C 15(g + b)

_ 27

D 27(15g + 12b)

50 Which point on the grid below satisfi es the conditions x < 2 and y > 4?

xO

D

CA

B

y

F D H BG C J A



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51 The heights of the 6 tallest buildings in Dallas are shown in the table below.

Name of Building Height in Ft

Bank of America Plaza 921Bank One Center 787Chase Tower 738Fountain Place 720Renaissance Tower 886Trammell Crow Tower 686

Which of the following is an appropriate scale for the vertical axis of a bar graph representing these data? A 0 to 10,000 ft in 1000 ft unitsB 0 to 5000 ft in 1000 ft unitsC 0 to 1000 ft in 1 ft unitsD 0 to 1000 ft in 100 ft units

52 If (x, 5) is a solution to the equation 3x – 5y = –34, then what is the value of x? F 5G 3H –3J –5

53 What does the available space within the case of a desktop computer best represent? A its areaB its massC its surface areaD its volume

54 Which expression best represents the area of a triangle with base of 2x2y3 and height of 3x2y2? F 3x4y6

G 3x4y5

H 6x4y5

J 6x2y2

55 Which graph best represents the relationship between the strength of a laptop computer battery and the amount of time the computer is used? A

Bat

tery

Str

eng

thTime

B

Bat

tery

Str

eng

th

Time

C

Bat

tery

Str

eng

th

Time

D

Bat

tery

Str

eng

th

Time

2- 22 BT2 T 877323 22- 22 BT2 T 877323 2 28 0 4 40 028 0 4 40 0

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56 Marcus has to rent a storage room to hold his collection of comic books, c, and vinyl records, v. The comic book boxes measure 29 inches long by 9 inches wide by 11.5 inches tall. The vinyl record boxes measure 12.5 inches long by 12.5 inches wide by 12.5 inches tall. What formula could he use to estimate the volume of S, the storage space required? F S = 3001.5c + 1953.1vG S = 1953.1c + 3001.5vH S + 3001.5c = 1953.1vJ S + 1953.1v = 3001.5c

57 The area of a square room in a house is 100 square feet. What is the area of an addition to the house that is 25% larger in each direction? A 75 ft2 C 156.25 ft2

B 125 ft2 D 200 ft2

58 Consider a square with side length 8 centimeters. Which answer most closely represents the length of the diagonal?

8 cm

F 24 cm

G 17.8 cm

H 16 cmJ 11.3 cm

59 Which equation describes a line having a slope of 4 and a y-intercept of –5? A 3y – 12x = –15 B 3y – 12x = 15C 3y + 12x = 15 D 3y – 12x = –15

60 The table below shows some of the types of occupations for people in Texas over the age of 16.

Profession NumberManagement, professional, and related occupations 3,207,619

Service occupations 1,561,809 Sales and offi ce occupations 2,617,150 Farming, fi shing, and forestry occupations 52,863

Construction, extraction, and maintenance occupations 1,093,670

Production, transportation, and material moving occupations 1,184,957

Based on these data, which of the following statements is true? F About 33% of the population is

involved in management, professional, and related occupations.

G Less than one quarter of the population is involved in sales and offi ce occupations.

H More people are involved in construction and production occupations than sales and offi ce occupations.

J About 1 in 5 working Texans are involved in service occupations.



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best answer.

1 How would the graph of the function y = x2 - 3 be affected if the function were changed to y = x2 - 4? A The graph would shift 1 unit down.B The graph would shift 1 unit up.C The graph would shift 1 unit to the left.D The graph would shift 1 unit to the

right.

2 Barry is 6 years more than three times Celia’s age. If Barry is 42 years old, which equation can be used to determine Celia’s age? F 3x – 6 = 42G 3x + 6 = 42H 3(x – 6) = 42J 6x + 3 = 42

3 Which of the following functions is linear? A y = 4 - x

B y = 4 _ x2

C y = 3x2 + 4D y = 2x + 3x(2 + x)

4 Which expression best represents the area of a square with side length 4x2y3?

F 16x4y9 H 8x4y6

G 16x4y6 J 8x4y9

5 The Cumulus Broadcasting Tower in Winnie measures 609.6 meters tall. Seth owns a radio antenna that is 22 meters tall. What is the comparative ratio of the broadcasting tower to Seth’s antenna? A 27.7:1 C 60.9:1B 32.3:1 D 93.4.1

6 � ABC is similar to � ADE.

A E

D

6

8

16

B

C12

What scale factor was used to transform � ABC to � ADE?

F 1 _ 2 H 2

G 3 _ 2 J 4

7 The Houston Tower Joint Venture in Missouri City measures 1971 feet tall. If a technician had paused at the 200-foot mark on the tower before beginning to climb at a rate of 1 foot per minute, which equation could be used to determine t, the time in hours it would take to reach the top? A 200t + 60 = 1971B 1971 = 200 + 60tC 1971 + 60t = 200 D 1971 + 200t = 60t

8 Austin is the only city in the U.S. that still uses Moonlight Towers, which used to be a very popular tower lighting system. They stand 165 feet tall and illuminate a circular area measuring 3000 feet in diameter. What is the approximate area of the circle illuminated by the Moonlight Tower? F 19,000 ft2

G 7,070,000 ft2

H 14,100,000 ft2

J 28,300,000 ft2

Benchmark Test 3


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y

xO

A (1.25, 0) and (5, 0)B (1.25, 0) and (0, 5)C (0, 1.25) and (5, 0)D (0, 1.25) and (0, 5)

10 In the equation y = 3x + 4, which one is the dependent variable? F y H xG 3 J 4

11 The table shows the volume of water in a glass after a period of time.

Time(hr)

Volume(ml)

60 30048 333.336 370.424 411.5

About how much water was in the glass to start? A 457.2 mlB 508.1 mlC 564.5 mlD 627.2 ml

12 What is the domain of the function in the graph shown below?

y

xO

F -4 ≤ y ≤ 5G -4 < y < 5H -2 ≤ x ≤ 1J -2 < x < 1

13 Thurber was once the largest city between Fort Worth and El Paso. It is now a ghost town. The diagram below shows a Thurber brick, which the town was famous for manufacturing.

THURBERBRICK

Which diagram shows the brick from the top? A

THURBERBRICK

B

C

D




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14 There are 35 students in one Grade 9 class and 40% of them are boys. There are 30 students in another Grade 9 class and 60% of them are girls. How many students in both classes are girls? F 26G 32H 33J 39

15 Which function includes the data set{(–1, –8), (1, 4), (3, 16)}? A y = x – 7B y = 3x – 5C y = 6x – 2D y = –6 + 2x

16 Best One Cars sells sedans, sports cars, mini vans and SUVs. Car buyers have a choice of 6 colors (black, blue, white, red, green, silver) and 3 interiors (cloth, cloth/leather, leather). The dealer wants to promote the number of options available. Which is the best method to determine how many different combinations of vehicles, paint colors, and interiors that car buyers can choose? F Add the number of choices of vehicles

to the number of choices of paint colors and interiors and then multiply the sum by 3.

G Multiply the number of choices of paint colors and interiors and then add the product to the number of vehicle choices.

H Multiply the total number of choices in each of the 3 categories together.

J Add the number of options in all 3 categories together.

17 How do the graphs of the functions f(x) = x2 - 6 and g(x) = x2 + 4 relate to each other? A f(x) is 10 units above g(x).B f(x) is 10 units below g(x).C f(x) is 10 units to the left of g(x).D f(x) is 10 units to the right of g(x).


x –2 0 1 4y 11 3 –1 –13

F y = 13 + x H y = 3x + 3G y = 3 – 4x J y = –3x + 2

19 Which formula can be used to fi nd the volume of the composite solid fi gure represented in the drawing?

h2

h1

w

A V = 1 _ 3 �w(h1 + h

2)

B V = 1 _ 3 �wh1 + �wh

2

C V = �w ( h1 + 1 _ 3 h

2 )

D V = �w(h1 + h

2)


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20 Ten balls numbered 1 through 10 are placed in a box. What is the probability of drawing 2 consecutive, even-numbered balls without replacing the fi rst ball chosen?

F 1 _ 9 H 1 _

3

G 2 _ 9 J 5 _

16

21 Admission to Six Flags Over Texas is $45 for adults and $35 for children. During a school trip, there were 155 more children than adults and the trip cost $7025. Which system of equations could be used to fi nd the number of adults, a, and children, c, on the trip? A a + c = 155 45a + 35c = 7025B a = c + 155 35a + 45c = 7025 C a = c – 155 45a + 35c = 7025D a = c + 155 45a + 35c = 7025

22 �ABC has vertices A(2, 2), B(4, 6), and C(6, 2).

y

xO

CA

B

�ABC is dilated by a scale factor of 1 _ 2 and has the origin as the center of dilation. What are the coordinates of B'? F (2, 3) H (1, 1)G (1, 3) J (3, 1)

23 What is the slope of the line given by the

equation y = 3 _ 4 x + 5?

A - 3 _ 4 C 3 _

4

B 1 _ 5 D 5

24 Consider the following diagram where AB¯ ¯ is parallel to DC, and AC, and BD are diameters of the circle with center O.

A CO

B

D

Which statement is NOT a valid conclusion? F ∠ ABO � ∠ CDOG ∠ AOB � ∠ CODH ∠ AOB � ∠ BOCJ ∠ BAO � ∠ DCO

25 Katrina and her 4 friends have been raising money to attend an out-of-town concert. Each person needs $252 for concert tickets, as well as hotel and travel expenses, in order to go. They already raised $420 through a garage sale, which will be split evenly among all 5 girls. Katrina has $112 in savings that she has put aside for the concert. How much more money does Katrina need in order to cover her cost to attend the concert? A $56 C $168B $94 D $195




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26 A stamping machine presses metal plates at a rate of 45 plates per minute. The machine runs on two 8-hour shifts per day. How many plates will it press in 5 days? F 21,500 H 86,400G 43,200 J 216,000

27 The Wyler Aerial Tramway in Franklin Mountains State Park begins at the tramway station, which is at an elevation of 4692 feet. It takes 4 minutes to reach Ranger Peak, which is at an elevation of 5632 feet. What equation is used to estimate the height, E, of the tramway after t seconds have passed since it left the station? A E = 4692 – 3.9tB E = 4692 + 3.9tC E = 5632 + 3.9tD E = 5632 – 4692t


Loan Repayment

Loan

Am

ou

nt

( $)

200

300

100

0

400

500

600

700

800

900

Month642 108

F Mr. Cho repays his loan at a rate of $100 per month.

G Ms. Sullivan has half her loan paid off in 5 months.

H Mr. Gallina has repaid $200 of his loan after 3 months.

J Ms. Gomez takes 10 months to pay off her $1000 loan.

29 What is the volume of a cylinder with radius 8 cm and height 14 cm? Use π = 3.14.


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y

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If 4 + 2x = 1 – 4x, what is the value of x? A –0.5 C –3B 0.5 D 3

31 The area of a rectangle is 4x2 - 2x – 12, and the width is 2x – 4. Which expression best describes the rectangle’s length? F 2x – 8 H 2x + 3G 2x + 8 J 2x – 3


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32 Anders is building a square pyramid out of plywood. The base has a side length of 12 feet. Each triangular section is 14 feet when measured from the point to the bottom with a right angle at the bottom. If plywood costs $4.50 per square foot, how much will it cost Anders to build the pyramid? A $1080 C $2160B $1404 D $3672

33 The volume of a rectangular pyramid is 40 cubic centimeters. If the width is doubled, and the length is doubled, and the height is doubled, what is the volume of the new pyramid?


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34 The table below illustrates the amount of water in a tank with respect to time.

Time (min) Volume (L)

0 502 444 386 32

Which of the following best describes the rate at which the water escapes from the tank? F 1 L/min H 3 L/minG 2 L/min J 4 L/min

35 Chris has a spinner that is divided into 4 equal sections. He spins 40 times and records the results in a table.

Color Numberof Hits

red 4black 10yellow 12blue 14

Which color has an experimental probability that is the furthest from its theoretical probability? A black C redB blue D yellow

36 Which of the following situations cannot be represented by a linear function? F the acceleration of a car with respect

to timeG the height of a fl ower with respect

to timeH the weight of an ice cube with respect

to timeJ the age of a pet with respect to time



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37 The table shows the number of separate pieces of paper created by cutting a stack.

Numberof Cuts

Piecesof Paper

1 1602 3203 640

How many cuts are needed to create more than 2500 separate pieces of paper? A 4B 5C 6D 7

38 Ronald owns The Pizza Pocket, which is a food stand set up near the beach. He tested different daily prices of a large pizza over a period of 6 weeks, entered his fi ndings into a spreadsheet, and then graphed the results.

Pizz

as S

old

20

30

10

0

40

50

60

70

80

90100

Price ($)12 14 16 18 20642 108

Based on these results, if Ronald charged $15.50 for a large pizza, which is the best estimate for the number of pizzas that he would sell per day? F 38G 52H 79J 97

39 � KLM is shown below.

MK

L

y

xO

If the triangle is translated 4 units right and 3 units up, what will be the coordinates of M '? A (–4, –7)B (–4, 0)C (0, 3)D (3, 0)

40 The Boykin Springs Recreational Area, located in the Angelina National Forest, is 11 miles east and 3 miles south of Zavalla. About how far is Boykin Springs from Zavalla in a straight line? F 14.0 miG 11.4 miH 9.0 miJ 8.2 mi

41 Elena scored 15, 10, 19, 12, and 12 points in her last 5 basketball games. If she scores 16 points in her next game, which measure of central tendency will give her the highest amount? A meanB medianC modeD range


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42 Book Barn has a sale on paperback books. If the books cost $3.50 each, which table best describes t, the total cost of purchasing n paperback books? F

n t2 $7.004 $14.006 $21.008 $29.0010 $35.00

G

n t2 $7.005 $17.508 $28.0011 $40.5014 $49.00

H

n t2 $7.006 $21.009 $31.5012 $42.0015 $51.50

J

n t3 $10.506 $21.0010 $35.0013 $45.5016 $56.00

43 Simplify the algebraic expression. 3(5 – x) - 2(x + 4)

A 17 + 5xB 8 – x C 7 – 5xD 5 – 7x

44 A linear equation describes a car that is traveling up a mountain at a rate of 30 miles per hour starting from a point 300 feet above sea level. How would the linear equation change if the car were traveling down the mountain at 30 miles per hour starting from a point 300 feet above sea level? F The slope would become negative, and

the y-intercept would remain the same.G The slope would remain the same, and

the y-intercept would change to –300.H The slope would become positive, and

the y-intercept would remain the same.J The slope would remain the same, and

the y-intercept would change to 300.

45 What will happen to the line in the equation y = 2x – 4 if m remains the same and b changes to 3? A The slope will remain the same, and the

line will move down 7 units.B The slope will remain the same, and the

line will move up 7 units.C The slope will remain the same, and the

line will move left 7 units.D The slope will remain the same, and the

line will move right 7 units.



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46 During the month of December, the Wrapping Booth charges $2 per gift wrapped for customers at the mall. The booth can wrap 80 gifts per day. How much will the Wrapping Booth earn over the course of 4 complete weekends?


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47 Consider the two shapes shown below.

15 17

30

8

What is the length of the longer hypotenuse? F 34 unitsG 30 unitsH 24 unitsJ 16 units

48 The Ahysen Mural in downtown Huntsville is considered to be the largest freestanding painting in the United States. The mural, done in ceramics, covers 938 square feet. Which the largest possible dimensions of such a mural assuming that the dimensions are whole numbers? A 36 ft by 26 ftB 40 ft by 23 ftC 52 ft by 18 ftD 67 ft by 14 ft

49 There are 14 CDs and 20 DVDs on a rack. The average price of the CDs is c and the average price of the DVDs is d. Which expression gives the average price per item on the rack?

F 14d + 20c _

34

G 14c + 20d _

34

H 34 ( 14c _ 20d

) J 34 _

14c + 20d

50 Which point on the grid below satisfi es the conditions x > 3 and y > 3?

y

xO

BC

DA

A point AB point BC point CD point D


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51 The 5 longest rivers in Texas are listed in the table below.

River Length (mi)

Rio Grande 1896Red River 1360Pecos River 926Colorado River 894Brazos River 840

Which of the following is an appropriate scale for the vertical axis of a bar graph representing these data? F 0 to 10,000 mi in 1000 mi unitsG 0 to 1000 mi in 100 mi unitsH 1000 to 2000 mi in 100 mi unitsJ 0 to 2000 mi in 200 mi units

52 If (2, y) is a solution to the equation 3x + 2y = 14, then what is the value of y? A 4B 2C 1D 0

53 What does a 1-inch layer of gravel in a fi sh tank represent? F areaG massH surface areaJ volume


(3x2)(4x6)

_ 2x5 ?

A 5x5 C 6x7

B 6x3 D 10x3

55 Which graph best represents the relationship between the weight of a lawnmower bag and the amount of time that passes as the lawn is mowed? F

Bag

Wei

gh

t

Time

G

Bag

Wei

gh

t

Time

H

Bag

Wei

gh

t

Time

J

Bag

Wei

gh

t

Time



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56 Irma is told by a salesperson that she can purchase 10 boxes of stickers for $3.50, 50 boxes for $17.50, or 200 boxes for $70.00. Which statement is a valid conclusion? A 10 boxes is most cost effective. B 50 boxes is most cost effective.C 200 boxes is most cost effective.D All 3 options are equal in value.

57 A square parking lot currently measures 1600 square feet. If the parking lot were extended 10% in both directions to accommodate more cars, what would be the perimeter of the new parking lot? F 160 ftG 176 ftH 196 ftJ 214 ft

58 Consider the following diagram. What is the perimeter of the third square?

4 cm

3 cm

A 9 cm C 16 cmB 12 cm D 20 cm


slope of 1 _ 2 and a y-intercept of 3?

F 2y – x = 6G 2y + x = 6H 3y + 2x = 6 J 3y – 2x = 6

60 The following table provides a breakdown of the student body at The University of Texas at Austin.

Classifi cation Percentage

Freshman 13.7Sophomore 15.8Junior 18.3Senior 26.8Law 2.9Graduate 22.5

Based on these data, which of the following statements is true? A There are fewer seniors than law

students and graduate students combined.

B More than 3 _ 10 of all students are either

freshmen or sophomores.C Less than one quarter of all students

are seniors.D There are more than 6 times as many

junior students as there are law students.


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