Section 1 (Calculator-Inactive) · 2020-03-18 · ssessmet 1 ©Curriculu Associates LLC Coying is...

Assessment 1

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Assessment 1 1

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Section 1 (Calculator-Inactive)

Answer questions 1–20. Answer questions outlined in green in your test book. Answer all other questions on the Answer Form. You may not use a calculator.

1 Which fraction is equivalent to 0.3636...? Write your answer in simplest form.

Answer

2 The value of Ï··· 30 is between which two whole numbers?

A 1 and 3

B 4 and 5

C 5 and 6

D 6 and 7

3 Which expressions are equivalent to [(22)2]3 1 (32)

2? Mark all that apply.

A [(2)2]3 1 (32)

2

B [(2)2]2 3 4 1 (32)

2

C [(2)3]2 1 34

D [(3)2]2 1 (32)

2

E [(22)3]2 1 (9)

2

F [(22)3]2 1 (3)

4


Assessment 12

4 Consider the graph below.

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-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 100

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1

y

x

Part A

Find the y-intercept and slope of the line. Fill in the blanks in the statement.

Answer The y-intercept of the line is , and the slope of the line is .

Go On


Assessment 1 3

Part B

Determine the equation of the line. Fill in the blanks in the equation.

Answer 5 1

Part C

Consider the triangle with vertices at (0, 6), (0, 0), and (3, 0) and a second triangle with vertices at (3, 0), (x, 0), and (x, y), where (x, y) is any point on the hypotenuse of the first triangle. Describe how you could derive the equation of the line using these two similar triangles. Be specific.


Assessment 14

5 A group of 24 students is asked whether or not their family subscribes to NicePix online movie service and whether or not they own a video game console for their television. The results are described below.

• The number of students who have NicePix is less than the number of students who do not have NicePix.

• The number of students who have a game console is equal to the number of students who do not have a game console.

• Students who have NicePix tend to have a game console, while students who do not have NicePix tend not to have a game console.

The table shows an association between subscribing to NicePix and having a game console. Use four numbers from the box to complete the table, making sure the conditions above are met. Use a number only once.

Yes

Yes No

No

13579

NicePixG

ame

Co

nso

le

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Assessment 1 5

6 Consider the equation below.

3 } 4 (24 2 16x) 5 2 2 }

3 (18x 2 27)

How many solutions does the equation have?

A one, x 5 0

B one, x 5 2 27 }} 8

C no solutions

D infinitely many solutions

7 Which statements are true? Mark all that apply.

A If y3 5 27, the value of y is 3.

B If y3 5 64, the value of y is 4.

C If y3 5 1, the value of y is 1.

D If y3 5 16, the value of y is 2.


Assessment 16

8 The mass of Earth is 5.97 3 1024 kilograms. The mass of the Moon is 7.34 3 1022 kilograms.

Part A

What is the combined mass of Earth and the Moon? Express your answer in scientific notation.

Show your work.

Answer kilograms

Part B

How many more kilograms is the mass of Earth than the mass of the Moon? Express your answer in scientific notation.

Show your work.

Answer kilograms

Part C

About how many times as great is the mass of Earth as the mass of the Moon? Express your answer in scientific notation.

Show your work.

Answer

Go On


Assessment 1 7

9 Which sequence of transformations is performed so that Figure 1 is congruent to Figure 2?

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-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 9 100

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9

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6

5

4

3

2

1

y

x

B

C

A

D

B’

C’

A’

D’

1

Figure2

Figure1

A Figure 1 is translated 3 units up and 4 units to the left.

B Figure 1 is translated 5 units down and 4 units to the right.

C Figure 1 is translated 4 units down and 5 units to the right.

D Figure 1 is translated 4 units up and 5 units to the left.


Assessment 18

10 In art class, Stan and Olivia are learning about proportions among different body parts. They decide to study the relationship between a person’s head length and height. Stan and Olivia each collect measurement data from a sample of people. They plot points on a scatter plot, fit a line, and then determine the equation for the best-fit line, as shown in the table. Let h equal a person’s height, in inches, and l equal head length, in inches.

Student Equation of best-fit line

Stan h 5 7.5l 1 1.5

Olivia h 5 8.2l 2 2.2

Based on the equations above, which statements are true? Mark all that apply.

A Stan’s equation suggests that a person’s height is approximately 7.5 times his or her head length.

B Olivia’s equation suggests that a person’s height is approximately 2.2 times his or her head length.

C Olivia’s equation indicates that a person with a head length of 8 inches would likely be about 63.4 inches tall.

D Stan’s equation indicates that a person 69 inches tall would likely have a head length of about 9 inches.

E The y-intercept in Stan’s equation indicates that a person with a head length of 0 would likely be about 7.5 inches tall.

Go On


Assessment 1 9

11 Is the equation y 5 x2 1 3 a function?

A No, because when x 5 0, y ? 0.

B No, because when x 5 1 or x 5 21, y 5 4.

C Yes, because there are no x-values where y is undefined.

D Yes, because for every x-value there is only one y-value.


Assessment 110

12 Line XY is parallel to line segment AC as shown in the figure below.

B

XY

C

A

Part A

Name two similar triangles shown in the figure.

Answer

Part B

Explain why the triangles are similar.

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Assessment 1 11

Part C

Consider the interior angles of triangles ABC and BXY: angle A, angle B, angle C, angle X, and angle Y. What is the sum of these 5 angles in terms of angle B? Explain your reasoning.


Assessment 112

13 Consider the numbers 1.4 3 103 and 5.6 3 102.

Part A

In scientific notation, what is the sum of the numbers?

A 1.96 3 2

B 1.96 3 103

C 1.96 3 4

D 1.969 3 5

Part B

In scientific notation, what is the product of the two numbers?

A 0.784 3 106

B 7.84 3 105

C 7.84 3 106

D 78.4 3 105

Go On


Assessment 1 13

14 Consider this graph.

Timex

y

Which correctly identifies and explains a label that could be correct for the y-axis on the graph? Mark all that apply.

A Distance from Home; The graph shows periods of decrease, and a distance from a location can decrease.

B Vehicle’s Speed; The graph shows flat parts that would indicate a constant speed, which is acceptable.

C Total Distance Traveled; The graph shows periods of decrease, and a change in total distance traveled can be negative.

D Temperature; The graph shows flat parts that would indicate a constant temperature, which is acceptable.

15 Grant translated figure A two inches to the right to create figure B.

A B

Which comparision is true of figure A and figure B?

A The side lengths of figure A are two inches less than the side lengths of figure B.

B The side lengths of figure B are two times the side lengths of figure A.

C The angles of figure B are congruent to the corresponding angles in figure A.

D The angle measures of figure A are two times the angle measures of figure B.


Assessment 114

16 A cell phone company offers its customers two monthly plans. Plan A costs $20 per month plus $0.15 for each minute used. Plan B costs $15 per month plus $0.20 for each minute used.

Part A

Write equations to represent the cost of each plan.

Plan A ____________________ Plan B ____________________

Part B

Graph the equations.

Part C

For how many minutes is the cost the same?

Show your work.

Answer minutes

Go On


Assessment 1 15

17 In the equations 6x 2 12y 5 a and 3x 2 6y 5 b, a and b are constants. The two equations have infinitely many solutions. Which statements are true? Mark all that apply.

A If a 5 5, b 5 10.

B If a 5 18, b 5 9.

C If a 5 8, b 5 4.

D If a 5 14, b 5 28.

18 Consider the equations y 5 3x 1 5 and

y 5 8 } x 2 2.

Part A

Which statement correctly describes y 5 3x 1 5?

A It is not a function.

B Its graph is not a straight line.

C It is a nonlinear function.

D It is a linear function.

Part B

Which statement correctly describes

y 5 8 } x 2 2?

A It is a linear function.

B It is a nonlinear function.

C Its graph is a straight line.

D It is not a function.

19 Fiona compares the numbers 2 3 108 and 8 3 106 using these steps:

Step 1: 8 is 4 times as large as 2.

Step 2: 108 is 100 times as large as 106.

Which could be Fiona’s last step in correctly comparing the numbers?

A 100 3 4 5 400; 2 3 108 is 400 times 8 3 106

B 100 4 4 5 25; 2 3 108 is 25 times 8 3 106

C 100 1 4 5 104; 2 3 108 is 104 times 8 3 106

D 100 2 4 5 96; 2 3 108 is 96 times 8 3 106


Assessment 116

20 The table below shows the daily temperature and sales of lemonade at Cool Lemonade Shop for the past 10 days.

Temperature (°F) Sales ($)

64.4 119

68.2 130

62.8 115

71 140

67.8 128

72.6 142

78.8 165

75 154

63.4 118

59.8 112

Part A

Sketch a scatter plot to show the relationship between the daily temperature and sales of lemonade shown in the table above.


Assessment 1 17

Part B

Does the scatter plot show a linear or nonlinear association? Explain your answer.

Part C

Does the scatter plot show a positive or negative association? Explain your answer.

Part D

Suppose that on a day when the temperature was 668F, there was $160 in sales of lemonade at Cool Lemonade Shop. Would this cause you to change your answer to Part B or Part C ? Explain your reasoning.

STOP


Assessment 118

Section 2 (Calculator-Active)

Answer questions 21–40. Answer questions outlined in green in your test book. Answer all other questions on the Answer Form. You may use a calculator.

21 An athletic department sold 454 tickets to a sporting event. Adults paid $3.50 per ticket, and students paid $1.00. The total ticket sales were $1,154. If 20 more adult tickets and 20 fewer student tickets had been sold, which statements would be correct? Mark all that apply.

A $154 would have been collected for student tickets.

B $980 would have been collected for adult tickets.

C $1,050 would have been collected for adult tickets.

D $134 would have been collected for student tickets.

E The total ticket sales would have been $1,114.

F The total ticket sales would have been $1,134.

G The total ticket sales would have been $1,184.

H The total ticket sales would have been $1,204.

Go On


Assessment 1 19

22 Consider the coordinate grid below.

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-8

-10

-12

-14

-16

-18

-20

-20 -18 -16 -14 -12 -10 -8 -6 -4 -2 2 4 6 8 10 12 14 16 18 200

20

18

16

14

12

10

8

6

4

2

y

x

B’

C’

E’

D’D

EC

BFigure A

Figure A’

John said that the figures are similar because Figure A’ is the result of dilating Figure A about

the origin with a scale factor of 1 } 2 and then reflecting it over the x-axis.

Which corrects John’s error?

A The image is instead a dilation about the origin with a scale factor of 2 and then a reflection over the x-axis.

B The image is instead a dilation about the origin with a scale factor of 1 } 2 and then a

rotation about the origin.

C The image is instead a dilation about the origin with a scale factor of 1 } 2 and then a

reflection over the y-axis.

D The image is instead a dilation about the origin with a scale factor of 2 and then a reflection over the y-axis.


Assessment 120

23 Consider the points A(6, 8), B(27, 3), and C(23, 25).

Part A

What is the length of line segment AB?

A Ï··· 18 units

B Ï··· 26 units

C Ï···· 122 units

D Ï···· 194 units

Part B

What is the length of line segment BC?

A Ï··· 20 units

B Ï··· 80 units

C Ï···· 104 units

D Ï···· 164 units

24 The function F 5 9 } 5 C 1 32 gives the temperature in degrees Fahrenheit, F, based on the

temperature in degrees Celsius, C.

Part A

Use the function to fill in the table with the number of degrees Fahrenheit for different numbers of degrees Celsius.

Degrees Celsius, C 215 210 25 0 5 10 15

Degrees Fahrenheit, F

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Assessment 1 21

Part B

Graph the relationship between degrees Celsius and degrees Fahrenheit.

-10

-25 -20 -15 -10 -5 5 10 15 20 250

60

50

40

30

20

10

˚F

˚C

Part C

Is F 5 9 } 5 C 1 32 a linear function? Explain your answer.


Assessment 122

25 Consider the two functions below:

• Function 1: y 5 2x 1 6

• Function 2:

x y21 3

1 15

2 21

Part A

How does the rate of change differ for the two functions?

A Function 1 has a positive rate of change and function 2 has a negative rate of change.

B The rate of change for function 2 is greater than the rate of change for function 1.

C The rate of change for function 1 is greater than the rate of change for function 2.

D There is no difference in the rate of change of the two functions.

Part B

How does the y-intercept differ for the two functions?

A Function 1 has a positive y-intercept and function 2 has a negative y-intercept.

B The y-intercept for function 2 is greater than the y-intercept for function 1.

C The y-intercept for function 1 is greater than the y-intercept for function 2.

D There is no difference in the y-intercept of the two functions.

Go On


Assessment 1 23

26 In the square pyramid shown below, h 5 8 m and b 5 24 m.

h s

b

d

What is the length of the slant height, s?

A Ï···· 640 m

B Ï···· 208 m

C 208 m

D 640 m

27 The amount of orange juice in a bottle is modeled by the equation y 5 128 2 8x. If y is the number of ounces of juice left and x is the number of servings of juice poured from the bottle, how many ounces of juice are in an unopened bottle?

Show your work.

Answer ounces


Assessment 124

28

Part A

Convert 0. ·· 7 to a fraction and simplify, if possible.

Show your work.

Answer

Part B


Show your work.

Answer

Go On


Assessment 1 25

Part C


Show your work.

Answer

Part D

Does your answer to Part C make sense? Explain your reasoning.


Assessment 126

29 In the graph below, triangle ABC is similar to triangle DEC.

x

y

10

2

3

5

6

-1

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-1-2-3-4-5-6 2 3 5 6

1

4

4A

BC

DE

Which statement is true?

A slope of ··· EC 5 slope of ··· CB

B slope of ··· DE 5 slope of ··· AC

C ··· DE }} ··· CD

5 ··· BC }} ··· AC

D ··· CD }} ··· DE

5 ··· AB }} ··· AC

Go On


Assessment 1 27

30 Lines l and m are parallel and are intersected by transversals t and s as shown in the figure below.

Z

C

B AX

Y

I m

tW

s

Part A

What is m/A 1 m/B 1 m/C ?

A 90°

B 180°

C 270°

D 360°

Part B

What is each of the following sums?

m/A 1 m/X 1 m/W

m/B 1 m/Y

m/C 1 m/Z

A Each of the sums is 90°.

B Each of the sums is 180°.

C Each of the sums is 270°.

D Each of the sums is 360°.

Part C

What is m/A 1 m/B 1 m/C 1 m/W 1 m/X 1 m/Y 1 m/Z ?

A 180°

B 360°

C 450°

D 540°

Part D

What is m/W 1 m/X 1 m/Y 1 m/Z ?

A 180°

B 360°

C 450°

D 540°


Assessment 128

31 In the coordinate grid below, Figure A is dilated about the origin, which results in Figure A’.

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10

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1

y

x

Figure A

Figure A’

What is the scale factor? Express your answer as a fraction.

Answer

32 Consider the equations x 2 5 25 and y 3 5 8.

Part A

How many solutions does each equation have? Fill in the blanks in the statements.

Answer The equation x 2 5 25 has solution(s).

Answer The equation y 3 5 8 has solution(s).

Go On


Assessment 1 29

Part B

Give the solutions to the equations.

Answer Solution(s) to the equation x 2 5 25:

Answer Solution(s) to the equation y 3 5 8:

Part C

If you use the square root button on a calculator to find the solution to the equation

x 2 5 25, it will not give you all the solutions. However, if you have a calculator with a cube

root button 3 Ï·· it will give you all the solutions to the equation y 3 5 8. Explain why one

button gives all the solutions but the other does not, and how you can use a calculator even

when it doesn’t give all the solutions.

33 Eddie drew the lines and square shown on the graph to prove the converse of the Pythagorean Theorem.

Which is a true statement? Mark all that apply.

A BC 5 Ï·· 8

B BC 5 2 Ï·· 2

C BC 5 Ï··· 20

D BC 5 2 Ï·· 5

E BC 2 5 CA2 1 BD2

A

B

C

D


Assessment 130

34 Which graph best models the line of best fit for the data in the scatter plot?

x

y

x

y

x

y

A C

x

y

x

y

B D

Go On


Assessment 1 31

35 Elvira wants to predict how much her cable television service will cost each month. She pays a fee of $69.99 each month for service and $4.99 for each movie she orders. She let x represents the number of movies she watches each month and y represent the total cost for her cable service. Which equation can she use to predict how much she will pay each month?

A y 5 74.98 1 x

B y 5 4.99 1 69.99x

C y 5 69.99 1 4.99x

D y 5 69.99 2 4.99x


Assessment 132

36 Consider the figure below.

ac

c

cc b

a

ab

b

a

b

Part A

How many right triangles and how many small squares is the larger square composed of? Fill in the blanks to complete the statement.

Answer The larger square is composed of right trangle(s) and smaller square(s).

Part B

What are the areas of the right triangle(s) and smaller square(s) that the larger square is composed of, in terms of a and b? Fill in the blanks.

Show your work.

Area of 1 right triangle Area of all right triangles

Area of square(s)

Go On


Assessment 1 33

Part C

Write an expression for the length of one side of the larger square. Then use that to write an expression for the area of the larger square.

Show your work.

Side Length of larger square

Area of larger square

Part D

Given that (a 1 b)2 5 a2 1 2ab 1 b2 , how could you prove the Pythagorean Theorem? Explain.


Assessment 134

37 Which scatter plot shows a linear association?

Pop

ula

tio

n (

in t

ho

usa

nd

s)

Years Since 2000

6.6

8.8

11.0

4.4

2.2

0 1 2 3 4 5 6 7 8 9 10

POPULATION OFENDANGERED ANIMALS

Pop

ula

tio

n

Hours

147

196

245

98

49

0 1 2 3 4 5

POPULATION OF VIRUS

A C

Nu

mb

er o

f C

ats

Number of Dogs

6

8

10

4

2

0 1 2 3 4 5 6 7 8 9 10

NUMBER OFANIMALS ADOPTED

1

3

5

7

9

Nu

mb

er o

f C

ou

sin

s

Student’s Grade Level

6

8

10

4

2

0 1 2 3 4 5 6 7 8 9 10

STUDENTS’ COUSINS

B D

Go On


Assessment 1 35

38 A cylindrical bucket has a radius of 6 inches and a height of 18 inches.

18 inches

Bucket Storage Tank

15 inches

[not drawn to scale]

6 inches

What is the minimum number of buckets of water needed to completely fill a spherical storage tank that has a radius of 15 inches? Shade the buckets to show your answer.

BUCKETS OF WATER


Assessment 136

39 The table and graph below show data about the time spent reading and the number of pages read by Danika and Kevin.

READING DATA FOR DANIKA

Time (hours) Number of Pages

3 120

6 240

4 160

500

450

400

350

300

250

200

150

100

50

1 2 3 4 5 6 7 8 9 100

y

x

Time (in hours)

READING DATA FORKEVIN

Nu

mb

er o

f Pa

ges

(10, 450)

(2, 90)

(5, 225)

Part A

How many pages does Danika read per hour?

A 35

B 40

C 45

D 50

Go On


Assessment 1 37

Part B

How many pages does Kevin read per hour?

A 35

B 40

C 45

D 50

Part C

Which statement correctly compares the reading speed of Danika and Kevin?

A Each hour, Kevin reads 10 fewer pages than Danika.

B Each hour, Kevin reads 10 pages more than Danika.

C Each hour, Kevin reads 5 fewer pages than Danika.

D Each hour, Kevin reads 5 pages more than Danika.

Part D

How many hours does it take Kevin to read the same number of pages that Danika can read in 9 hours?

A 7

B 8

C 10

D 11


Assessment 138

40 An archeologist is examining an image of a bone fragment on her computer screen, which has a coordinate grid behind it. The bone fragment is shown below.

-6 -5 -4 -3 -2 -1 0-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

6

5

4

3

2

1

y

x

C

A B

D

BoneFragment

Part A

The archeologist moves the image 4 units down. What are the new coordinates of the vertices? Write the coordinate pairs.

Answer A:

Answer B:

Answer C:

Answer D:

Part B

The archeologist then moves the image 6 units right. What are the new coordinates of the vertices? Write the coordinate pairs.

Answer A:

Answer B:

Answer C:

Answer D:


Assessment 1 39

Part C

Next, the archeologist dilates the image of the bone fragment using a scale factor of 1.5 and a center of dilation at the origin. What are the new coordinates of the vertices? Write the coordinate pairs.

Answer A:

Answer B:

Answer C:

Answer D:

Part D

By what factor does the dilation cause the perimeter of the image to be multiplied?

Answer The perimeter of the image is multiplied by a factor of .

By what factor does the dilation cause the area of the image to be multiplied?

Answer The area of the image is multiplied by a scale factor of .

Part E

Explain why the area and the perimeter are not both multiplied by the same factor.

STOP

Cut

alo

ng th

e do

tted

line

.

115

Assessment 1

Section 1

1. See page 1.

2. ABCD

3. ABCDEF

4. See page 2.

5. See page 4.

6. ABCD

7. ABCD

8. See page 6.

9. ABCD

10. ABCDE

11. ABCD

12. See page 10.

13A. ABCD

13B. ABCD

14. ABCD

15. ABCD

16. See page 14.

17. ABCD

18A. ABCD

18B. ABCD

19. ABCD

20. See page 16.

Section 2

21. ABCD

EFGH

22. ABCD

23A. ABCD

23B. ABCD

24. See page 20.

25A. ABCD

25B. ABCD

26. ABCD

27. See page 23.

28. See page 24.

29. ABCD

30A. ABCD

30B. ABCD

30C. ABCD

30D. ABCD

31. See page 28.

32. See page 28.

33. ABCDE

34. ABCD

35. ABCD

36. See page 32.

37. ABCD

38. See page 35.

39A. ABCD

39B. ABCD

39C. ABCD

39D. ABCD

40. See page 38.

Ready® Assessments, Mathematics, Level 8 Answer Form

Name

Teacher Grade

School City State

TEACHER USE ONLY

1. 01

4. 0123

5. 01

8. 0123

12. 0123

16. 0123

20. 01234

24. 01234

27. 01234

28. 01234

31. 0123

32. 0123

36. 0123

38. 01

40. 0123456

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