Chapter 10 Resource Masters - Loudoun County Public ... 10 Test, Form 3 .....541–542 Chapter 10...

Course 1

Chapter XResource Masters

Course 1

Chapter 10Resource Masters

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced only forclassroom use; be provided to students, teacher, and families without charge; andbe used solely in conjunction with Glencoe Mathematics: Applications andConcepts, Course 1. Any other reproduction, for use or sale, is prohibited withoutprior written permission of the publisher.

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

Mathematics: Applications and Concepts, Course 1ISBN: 0-07-860073-1 Chapter 10 Resource Masters

1 2 3 4 5 6 7 8 9 10 024 12 11 10 09 08 07 06 05 04 03

Consumable Workbooks

Many of the worksheets contained in the Chapter Resource Mastersbooklets are available as consumable workbooks in both English andSpanish.

Study Guide and Intervention Workbook 0-07-860085-5

Study Guide and Intervention Workbook (Spanish) 0-07-860091-X

Practice: Skills Workbook 0-07-860086-3

Practice: Skills Workbook (Spanish) 0-07-860092-8

Practice: Word Problems Workbook 0-07-860087-1

Practice: Word Problems Workbook (Spanish) 0-07-860093-6

Reading to Learn Mathematics Workbook 0-07-861057-5

Answers for Workbooks The answers for Chapter 10 of theseworkbooks can be found in the back of this Chapter Resource Mastersbooklet.

Spanish Assessment Masters Spanish versions of forms 2A and 2C ofthe Chapter 10 Test are available in the Glencoe Mathematics: Applicationsand Concepts Spanish Assessment Masters, Course 1 (0-07-860095-2).

iii

Vocabulary Builder .............................vii

Family Letter............................................ix

Family Activity ........................................x

Lesson 10-1Study Guide and Intervention ........................491Practice: Skills ................................................492Practice: Word Problems................................493Reading to Learn Mathematics......................494Enrichment .....................................................495








Chapter 10 AssessmentChapter 10 Test, Form 1 ........................531–532Chapter 10 Test, Form 2A......................533–534Chapter 10 Test, Form 2B......................535–536Chapter 10 Test, Form 2C......................537–538Chapter 10 Test, Form 2D......................539–540Chapter 10 Test, Form 3 ........................541–542Chapter 10 Extended Response

Assessment .................................................543Chapter 10 Vocabulary Test/Review...............544Chapter 10 Quizzes 1 & 2..............................545Chapter 10 Quizzes 3 & 4..............................546Chapter 10 Mid-Chapter Test .........................547Chapter 10 Cumulative Review......................548Chapter 10 Standardized Test Practice..549–550

Standardized Test Practice Student Recording Sheet ..............................A1

Standardized Test Practice Rubric...................A2ANSWERS .............................................A3–A32

CONTENTS

iv

Teacher’s Guide to Using the Chapter 10 Resource Masters

The Fast File Chapter Resource system allows you to conveniently file the resources youuse most often. The Chapter 10 Resource Masters includes the core materials needed forChapter 10. These materials include worksheets, extensions, and assessment options. Theanswers for these pages appear at the back of this booklet.

All of the materials found in this booklet are included for viewing and printing in theGlencoe Mathematics: Applications and Concepts, Course 1, TeacherWorks CD-ROM.

Vocabulary Builder Pages vii-viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.

When to Use Give these pages to studentsbefore beginning Lesson 10-1. Encouragethem to add these pages to theirmathematics study notebook. Remind themto add definitions and examples as theycomplete each lesson.

Family Letter and Family ActivityPage ix is a letter to inform your students’families of the requirements of the chapter.The family activity on page x helps themunderstand how the mathematics studentsare learning is applicable to real life.

When to Use Give these pages to studentsto take home before beginning the chapter.

Study Guide and InterventionThere is one Study Guide and Interventionmaster for each lesson in Chapter 10.

When to Use Use these masters asreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent.

Practice: Skills There is one master foreach lesson. These provide practice thatmore closely follows the structure of thePractice and Applications section of theStudent Edition exercises.

When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.

Practice: Word Problems There is onemaster for each lesson. These providepractice in solving word problems that applythe concepts of the lesson.

When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.

Reading to Learn Mathematics Onemaster is included for each lesson. The firstsection of each master asks questions aboutthe opening paragraph of the lesson in theStudent Edition. Additional questions askstudents to interpret the context of andrelationships among terms in the lesson.Finally, students are asked to summarizewhat they have learned using variousrepresentation techniques.

When to Use This master can be used as astudy tool when presenting the lesson or asan informal reading assessment afterpresenting the lesson. It is also a helpful toolfor ELL (English Language Learner)students.

v

Enrichment There is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.

When to Use These may be used as extracredit, short-term projects, or as activitiesfor days when class periods are shortened.

Assessment OptionsThe assessment masters in the Chapter 10Resources Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use.

Chapter AssessmentChapter Tests

• Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents.

• Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations.

• Forms 2C and 2D are composed of free-response questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills.

• Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills.

All of the above tests include a free-responseBonus question.

• The Extended-Response Assessmentincludes performance assessment tasksthat are suitable for all students. Ascoring rubric is included for evaluationguidelines. Sample answers are providedfor assessment.

• A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used inconjunction with one of the chapter testsor as a review worksheet.

Intermediate Assessment• Four free-response quizzes are included

to offer assessment at appropriateintervals in the chapter.

• A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice and free-response questions.

Continuing Assessment• The Cumulative Review provides

students an opportunity to reinforce andretain skills as they proceed through theirstudy of Glencoe Mathematics:Applications and Concepts, Course 1. Itcan also be used as a test. This masterincludes free-response questions.

• The Standardized Test Practice offerscontinuing review of pre-algebra conceptsin various formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiple-choice, short response, grid-in, andextended response questions. Bubble-inand grid-in answer sections are providedon the master.

Answers• Page A1 is an answer sheet for the

Standardized Test Practice questions thatappear in the Student Edition on pages 422–423. This improves students’familiarity with the answer formats theymay encounter in test taking.

• Detailed rubrics for assessing theextended response questions on page 423are provided on page A2.

• The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red.

• Full-size answer keys are provided for theassessment masters in this booklet.

© Glencoe/McGraw-Hill vii Mathematics: Applications and Concepts, Course 1

This is an alphabetical list of new vocabulary terms you will learn inChapter 10. As you study the chapter, complete each term’s definitionor description. Remember to add the page number where you foundthe term. Add these pages to your math study notebook to reviewvocabulary at the end of the chapter.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading To Learn MathematicsVocabulary Builder

Vocabulary TermFound

Definition/Description/Exampleon Page

cross products

equivalent ratios

percent

proportion

rate

ratio

scale

scale drawing

scale model

unit rate

Vo

cab

ula

ry B

uild

er

© Glencoe/McGraw-Hill ix Mathematics: Applications and Concepts, Course 1

Family LetterNAME ________________________________________ DATE ______________ PERIOD _____

Signature of Parent or Guardian ________________________________________DATE ________

Dear Parent or Guardian:

Ratios, rates, percents, and proportions help us to make

decisions. We can use them to make models of objects and to

determine distances on a map. We can also use them to make

budget decisions, to determine the better buy at a grocery

store, and to calculate sales tax.

In Chapter 10: Ratio, Proportion, and Percent, your child

will learn how to express ratios and rates as fractions, to solve

proportions, and to solve problems by drawing a diagram. Your

child will also learn how to express percents as fractions and

decimals and to find the percent of a number. Your child will

complete a variety of daily classroom assignments and activities

and possibly produce a chapter project.

By signing this letter and returning it with your child, you

agree to encourage your child by getting involved. Enclosed is

an activity you can do with your child that also relates the

math we will be learning in Chapter 10 to the real world. You

may also wish to log on to the Online Study Tools for

self-check quizzes, Parent and Student Study Guide pages, and

other study help at www.msmath1.net. If you have any

questions or comments, feel free to contact me at school.

Sincerely,

Fam

ily L

ette

r

© Glencoe/McGraw-Hill x Mathematics: Applications and Concepts, Course 1

Family ActivityNAME ________________________________________ DATE ______________ PERIOD _____

Cars, Trucks, and PercentsWork with a family member to answer the following questions. Askten family members or friends what kind of cars they drive: sportsutility, truck, sedan, van, convertible, or other. Record the results inthe space below.

1. a. What percent of these people drive sports utility vehicles?

b. Express the percent as a decimal.

2. a. What percent of these people drive trucks?


3. a. What percent of these people drive sedans?


4. a. What percent of these people drive vans?


© Glencoe/McGraw-Hill 491 Mathematics: Applications and Concepts, Course 1

Refer to the diagram at the right.

Write the ratio that compares the number of circles tothe number of triangles.

�45� The GCF of 4 and 5 is 1.

So, the ratio of circles to triangles is �45�, 4 to 5, or 4:5.

For every 4 circles, there are 5 triangles.

Write the ratio that compares the number of circles to the total number of figures.� 2

�140�

� �25� The GCF of 4 and 10 is 2.

� 2

The ratio of circles to the total number of figures is �25�, 2 to 5, or 2:5.

For every two circles, there are five total figures.

Write the ratio 20 students to 5 computers as a unit rate.

� 5

�520

cosmtu

pduetnetrss� �1

4csotmud

peunttesr� Divide the numerator and the denominator by 5 to get a denominator of 1.

� 5

The ratio written as a unit rate is 4 students to 1 computer.

Write each ratio as a fraction in simplest form.

1. 2 guppies out of 6 fish 2. 12 puppies to 15 kittens 3. 5 boys out of 10 students

Write each ratio as a unit rate.

4. 6 eggs for 3 people 5. $12 for 4 pounds 6. 40 pages in 8 days

A rate is a ratio of two measurements having different kinds of units. When a rate is simplified so thatit has a denominator of 1, it is called a unit rate.

circles ➝total figures ➝

circles ➝triangles ➝

A ratio is a comparison of two numbers by division. A common way to express a ratio is as a fraction

in simplest form. Ratios can also be written in other ways. For example, the ratio �23

� can be written as

2 to 3, 2 out of 3, or 2:3.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionRatios

�

�

�

�

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1. 3 sailboats to 6 motorboats 2. 4 tulips to 9 daffodils

3. 5 baseballs to 25 softballs 4. 2 days out of 8 days

5. 6 poodles out of 18 dogs 6. 10 yellow eggs out of 12 colored eggs

7. 12 sheets of paper out of 28 8. 18 hours out of 24 hours

9. 16 elms out of 20 trees 10. 15 trumpets to 9 trombones

11. 5 ducks to 30 geese 12. 14 lions to 10 tigers

13. 6 sodas out of 16 drinks 14. 20 blue jays out of 35 birds


15. 14 hours in 2 weeks 16. 36 pieces of candy for 6 children

17. 8 teaspoons for 4 cups 18. 8 tomatoes for $2

19. $28 for 4 hours 20. 150 miles in 3 hours

21. $18 for 3 CDs 22. 48 logs on 6 trucks

23. Write the ratio 21 wins to 9 losses as a fraction in simplest form.

24. Write the ratio $12 dollars for 3 tickets as a unit rate.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsRatios



NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsRatios

1. FOOTBALL In the NFL 2001–2002season, the Miami Dolphins won 11 games and the Oakland Raiderswon 10 games. What is the ratio ofwins for the Dolphins to wins for theRaiders?

2. GARDENING Rod has 10 rosebushes, 2 ofwhich produce yellow roses. Write theratio 2 yellow rosebushes out of 10 rosebushes in simplest form.

�15

�

3. TENNIS Nancy and Lisa played 20 setsof tennis. Nancy won 12 of them. Writethe ratio of Nancy’s wins to the totalnumber of sets in simplest form.

4. AGES Oscar is 16 years old and hissister Julia is 12 years old. What willbe the ratio of Oscar’s age to Julia’s agein 2 years? Write as a fraction insimplest form.

�97

�

5. MOVIES Four friends paid a total of $32for movie tickets. What is the ratio $32for 4 people written as a unit rate?

6. WORKING At a warehouse, theemployees can unload 18 trucks in 6 hours. What is the unit rate forunloading trucks?

7. ANIMALS A reindeer can run 96 milesin 3 hours. At this rate, how far can areindeer run in 1 hour? Explain.

8. SHOPPING Jenny wants to buy cerealthat comes in large and small boxes.The 32-ounce box costs $4.16, and the14-ounce box costs $2.38. Which box isless expensive per ounce? Explain.

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NAME ________________________________________ DATE ______________ PERIOD _____

Pre-Activity Read the introduction at the top of page 380 in your textbook.Write your answers below.

1. Write a sentence that compares the number of navy socks to the numberof white socks. Use the word less in your sentence.

2. Write a sentence that compares the number of black socks to the number of white socks. Use the word half in your sentence.

3. Write a sentence comparing the number of white socks to the totalnumber of socks. Use a fraction in your sentence.

Reading the Lesson4. A ratio compares amounts of two different things by division. Tell what

different things are compared in the examples in your textbook.

Example 1

Example 2

5. Write the ratio of 2 pens out of a total of 3 pens 4 different ways.

6. What is the denominator in a unit rate?

Helping You Remember7. Go to your local grocery store and make a list of unit rates that are used to

price items in the store. Also, compare prices for different brands of acertain product. How can you find out which brand provides the best value?Does the store help you to make the comparison? If so, how?

Reading to Learn MathematicsRatios


Ratios and Rectangles1. Use a centimeter ruler to measure the width and the

length of each rectangle. Then express the ratio of thewidth to the length as a fraction in simplest form.

2. Similar figures have the same shape, but not necessarily the same size.Two rectangles are similar if the ratio of the width to the length is thesame for each. Which rectangles in Exercise 1 are similar?

3. For centuries artists and architects have used a shape called the goldenrectangle because people seem to find it most pleasant to look at. In agolden rectangle, the ratio of the width to the length is a little less than

�58�. Which rectangle in Exercise 1 is most nearly a golden rectangle?

E

D

C

BA

EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

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Solve �25� � �n

4�. Solve �

34� � �1

b2�.

2 � n � 5 � 4 Cross products 3 � 12 � 4 � b Cross products2n � 20 Multiply. 36 � 4b Multiply.

�22n� � �

220� Divide each side by 2. �

346� � �

44b� Divide each side by 4.

n � 10 9 � bThe solution is 10. The solution is 9.

Determine whether each pair of ratios form a proportion. Explainyour reasoning.

1. �35�, �1

60�

2. �29�, �1

46�

Solve each proportion.

3. �23� � �n

8� 4. �

34� � �

1x2� 5. �

24� � �8

y�

6. �35� � �1

b5�

7. �19.2� � �1

c.5�

8. �1d6�

� �38�

9. �2x.6�

� �11..53�

10. �2y� � �

69� 11. �

02..16�

� �0z.5�

A proportion is an equation stating that two ratios are equivalent. For example, the ratios �12

� and �36

� are

equivalent, so the equation �12

� � �36

� is a proportion. In order for two ratios to form a proportion, their

cross products must be equal.

When one value in a proportion is unknown, you can use cross products to solve the proportion.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionSolving Proportions

12

�1 � 6 is onecross product

1 � 6 � 2 � 36 � 6

The cross products are equal

2 � 3 is the othercross product

36



1. �25� � �

8x� 2. �

27� � �

4y� 3. �

35� � �3

b0�

4. �29� � �3

c6�

5. �45� � �2

d5�

6. �240� � �

1f0�

7. �2g

� � �2184�

8. �2x� � �

1205�

9. �43� � �1

h8�

10. �1300�

� �2r� 11. �1

t8�

� �36� 12. �

23� � �m

6�

13. �92� � �6

s� 14. �3

n6�

� �26� 15. �u

4� � �

1221�

16. �56� � �1

m2�

17. �2d7�

� �49� 18. �

58� � �

1q5�

19. �1257�

� �5k� 20. �

4x� � �

2300�

21. �b3� � �

294�

22. �3z5�

� �47� 23. �

6c� � �

2248�

24. �68� � �2

x4�

25. �1146�

� �b8� 26. �

8r� � �

2247�

27. �1366�

� �9t�

28. �12..24�

� �2n.4� 29. �

01..58�

� �9s

� 30. �1w.6� � �1

86�

31. What is the solution of �35� � �

2k�? Round to the nearest tenth.

32. Find the solution of �43.3� � �2

n.2�

to the nearest tenth.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsSolving Proportions

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSolving Proportions

1. SCHOOL The ratio of boys to girls inhistory class is 4 to 5. How many girlsare in the class if there are 12 boys inthe class? Explain.

2. FACTORIES A factory produces 6 motorcycles in 9 hours. Write aproportion and solve it to find howmany hours it takes to produce 16 motorcycles.

�69

� � �1x6�; 24 h

3. READING James read 4 pages in a bookin 6 minutes. How long would youexpect him to take to read 6 pages?

4. COOKING A recipe that will make 3 pies calls for 7 cups of flour. Write aproportion and solve it to find howmany pies can be made with 28 cups of flour.

�37

� � �2p8�; 12 pies

5. TYPING Sara can type 90 words in4 minutes. About how many wordswould you expect her to type in 10 minutes?

6. BASKETBALL The Lakewood Wildcatswon 5 of their first 7 games this year.There are 28 games in the season.About how many games would youexpect the Wildcats to win this season?Explain your reasoning.20 games; Sample answer: If

the season, �57

� � �2x8�.

7. FOOD Two slices of Dan’s FamousPizza have 230 Calories. How manyCalories would you expect to be in 5 slices of the same pizza?

8. SHOPPING Andy paid $1.40 for 4 grapefruits. Write a proportion andsolve it to find how many grapefruitshe can purchase for $2.10.

�$1

4.40� � �

$2x.10�; 6 grapefruits


NAME ________________________________________ DATE ______________ PERIOD _____

Pre-Activity Complete the Mini Lab at the top of page 386 in your textbook.Write your answers below.

1. Complete each ratio so that the ratios comparing the areas are equivalent.a. b.

2. How did you find which figure made the ratios equivalent?

3. Suppose a green block equals 2, a blue block equals 4, a yellow block equals 6, and a red block equals 3. Write a pair of equivalent ratios.

4. What relationship exists in these equivalent ratios?

Reading the Lesson5. Look at the arithmetic example in the Key Concept box on page 386.

What is the significance of the two instances of � 3?

6. If two ratios are equivalent, and therefore form a proportion, what do youknow about the cross products?

7. Look at the final sentence in Example 3 on page 387—‘‘So, 375 students can be expected to prefer gel toothpaste.’’ Why is it important to use can be expected in this answer?

Helping You Remember8. Work with a partner. Study Example 1 on page 387. Write a proportion

that needs to be solved for an unknown value. Exchange proportions andsolve for the unknown value. Explain how you arrived at your solution.

�?

�?

Reading to Learn MathematicsSolving Proportions

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Ada

Did you know that a woman wrote the firstdescription of a computer programming language?She was the daughter of a famous English lord andwas born in 1815. She had a deep understanding ofmathematics and was fascinated by calculatingmachines. Her interests led her to create the firstalgorithm. In 1843, she translated a French versionof a lecture by Charles Babbage. In her notes to thetranslation, she outlined the fundamental concepts ofcomputer programming. She died in 1852. In 1979,the U.S. Department of Defense named the computerlanguage Ada after her.

To find out this woman’s full name, solve theproportion for each letter.

1. �A7

� � �2480�

2. �54� � �3

B6�

3. �13� � �1

C5�

4. �D5

� � �3653�

5. �25� � �2

E0�

6. �128�

� �2L7�

7. �N6

� � �1124�

8. �191�

� �4O4�

9. �28� � �

R4�

10. �V5

� � �2350�

11. �74� � �2

Y8�

Now look for each solution below. Write the corresponding letter onthe line above the solution. If you have calculated correctly, theletters will spell her name.

�10

� �9� �

10� �

45� �

49� �

1� �

36� �

7�

�3

� �36

� �6

� �8

� �3

� �10

� �5� �

8�

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment



RACE CARS A model of a race car has a width of 3.5 inches. The scaleis 1 inch � 2 feet. Find the actual width of the race car.

Let w represent the actual width.

Scale Race Car

�12� � �

3w.5�

1 � w � 2 � 3.5 Find the cross products.w � 7 Multiply.

The actual width of the race car is 7 feet.

HIKING On a map, the distance between Round Lake and June Lakeis 6 inches. The scale on the map is 3 inches � 5 miles. Find theactual distance between the two lakes.

Let d represent the actual distance.

Map Scale Actual Distance

�35� � �d

6�

3 � d � 5 � 6 Find the cross products.3d � 30 Multiply.

�33d� � �

330� Divide.

d � 10

The distance between the two lakes is 10 miles.

DRAFTING For Exercises 1–4, use the following information.

On a set of drawings, the scale is 2 inch � 4 feet. Find the actual measurements.

5. MAPS A map has a scale of 2 inches � 7 miles. The distance betweenPirate’s Cove and Midnight Lagoon on themap is 12 inches. What is the actualdistance between the two places?

map distanceactual distance

map distance ➝actual distance ➝

model width

actual widthmodel width ➝actual width ➝

Scale drawings and scale models are used to represent objects that are too large or too small to be drawn or built at actual size. The scale gives the ratio that compares the measurements on thedrawing or model to the measurements of the real object. The measurements on a drawing or modelare proportional to the measurements of the actual object.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionScale Drawings and Models

Object Drawing Actual Sizedoor 4 incheswall 6 inchestree 12 inchescomputer 1 inch

1.2.3.4.

➝

➝

➝➝

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsScale Drawings and Models

DRAFTING On a set of drawings, the scale is 2 inches 5 3 feet. Find theactual measurements.

LIZARDS Models of lizards were made using the given scales. Find theactual measurements.

Scale: 1 inch � �12� inch

Scale: 2 inches � 3 inches

Scale: 4 inches � 5 inches

MAPS A map has a scale of 3 inches � 7 miles. Find the actual distancebetween the cities with the map distances given.

13. 8.4 inches between Fall City and Summit

14. 2 inches between Potter and Green River

Object Drawing Actual Sizetable 4 incheswall 10 inchesroad 18 inchesdoor 5 inchescomputer 1 inchlamp 0.5 inch

1.2.3.4.5.6.

Ground Gecko Model Actual Sizebody length 3.6 inchestail length 2 inches

Desert Iguana Model Actual Sizebody length 9 inchestail length 18 inches

11.12.

9.10.

Whiptail Lizard Model Actual Sizebody length 6 inchestail length 12 inches

7.8.


NAME ________________________________________ DATE ______________ PERIOD _____

1. MAPS On a map with a scale of 1 inch � 9 miles, the distance betweentwo towns is 3 inches. What is theactual distance between the two towns?

2. BLUEPRINTS On an architect’s blueprint,the front of a building measures 27 inches. The scale of the blueprint is1 inch � 2 feet. How wide will the frontof the actual building be?

3. MODELS The model of an airplane hasa wingspan of 20 inches. The model hasa scale of 1 inch � 4 feet. What is thewingspan of the actual airplane?

4. ARCHITECTURE The drawing for abuilding has a scale of 1 inch � 3 feet.The building in the drawing has aheight of 14 inches. How tall will theactual building be?

5. ROCKETS A model of the Saturn Vrocket has a scale of 1 inch � 12 feet.If the model rocket is 30 inches tall,how tall was the actual Saturn Vrocket?

6. CARS Ron took a photograph of his carand then measured the length of thecar in the photograph. The length was

4�12� inches. If the scale of the

photograph is 1 inch � 4 feet, how longis Ron’s actual car?

7. MODELS A model of a 4-cylinder gasoline engine is built on a scale of 1 inch � 6 inches. If the length of the model engine is 9 inches, how longis the actual engine?

8. PHOTOGRAPHY A photo lab technicianis going to reduce a photograph that is 9 inches wide using a scale of

1 inch � �23� inch. How wide will the

reduced photo be? 6 in.

Practice: Word ProblemsScale Drawings and Models

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1. Explain how you would use a ruler to find the number of miles between any two cities on the map.

2. Use the method you described in Exercise 1 to find the actual distancebetween Haletown and Jasper.

3. What is the actual distance between Kimball and Signal Mountain?

Reading the Lesson4. Look up the word scale in a dictionary. Write the meaning that matches

the way the word is used in this lesson.

5. Look at Example 1 at the bottom of page 391. Then tell what ishappening at each step of the process below.

�18� � �

2h3�

1 � h � 8 � 23

h � 184

6. Look at Example 2 at the top of page 392. What do you need to know inorder to solve for d, the actual distance?

7. Bring a map or set of maps to school (for example, maps of the world asfound in an almanac). Using the scale on the map, practice measuringdistances between objects on the map.

Helping You Remember8. Make a scale drawing of some object with which you are familiar. Take

the actual measurements of the object. Decide on a scale. Create thedrawing. Be sure to put the scale somewhere on your drawing so a readerwill be able to tell the size of the actual object.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsScale Drawings and Models



Planning a RoomBefore moving furniture into a room, many people plan an arrangement bymaking a scale drawing. This makes it possible to find the best arrangementfor the room without actually moving heavy furniture.

For each piece of furniture, actual measurements are given. Computescale measurements using the scale �

12� inch � 1 foot.

1. bed: 6�12� feet long, 3 feet wide

2. bedside table: 1�12� feet long, 1�

12� feet wide

3. bookcase: 3�12� feet long, 1 foot wide

4. desk: 42 inches long, 18 inches wide

5. chest of drawers: 39 inches long, 18 inches wide

6. Use your answers from Exercises 1–5. Show how the furniture might bearranged in the bedroom shown below.

WINDOW

DOOR

Scale: inch = 1 foot12


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Model 10%. Model 78%.10% means 10 out of 100. 78% means 78 out of 100.So, shade 10 of the 100 squares. So, shade 78 of the 100 squares.

Identify each percent that is modeled.

There are 30 out of 100 squares There are 43 out of 100 squares shaded.shaded. So, the model shows 30%. So, the model shows 43%.

Model each percent.

1. 20% 2. 55% 3. 12%


4. 5. 6.

You can use what you know about decimal models and percents to identify the percent of a model thatis shaded.

Ratios like 41 out of 100, 25 out of 100, or 2 out of 100 can be written as percents. A percent (%) is aratio that compares a number to 100. Since the word percent means out of one hundred, you can usea 10 � 10 grid to model percents.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionModeling Percents


Model each percent.

1. 15% 2. 50% 3. 75%

4. 80% 5. 21% 6. 48%


7. 8. 9.

10. 11. 12.

13. 14. 15.

Practice: SkillsModeling Percents

NAME ________________________________________ DATE ______________ PERIOD _____

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsModeling Percents


1. FOOTBALL In the 2001–2002 season,the Dallas Cowboys football team won 45% of their games. Make a model to show 45%.

2. LANDSCAPING Jacob is making a 10 footby 10 foot patio in his backyard usingpaving stones that are 1 foot square.The shaded area of the model indicatesthe finished part of the patio. Whatpercent of the patio has Jacob finished?

55%

3. ART Lydia is making a collage using100 photographs arranged in a squarepattern. The shaded area in the modelindicates the part of the collage alreadycovered by photos. What percent of thecollage is finished?

4. ENERGY In the year 2000, nuclearenergy accounted for 8% of the energy used in the U.S. Make a model to show 8%.

5. GAMES The figure shows the startingposition for a game played on a 10 by10 board. The shaded squares containgame pieces. What percent of thesquares on the board contain gamepieces?

6. MUSIC In the school chorus, 52% of thegirls sing soprano and 44% sing alto.Which of these two sections of thechorus has more girls? Explain usingmodels.

Sample answer: There are more



1. What ratio compares the number of students who prefer grape flavored lollipops to the total number of students?

2. What decimal represents this ratio?

3. Use a decimal model to represent this ratio.

Reading the Lesson4. Explain why a 10 � 10 grid is a good way to model percents.

5. Complete the table.

6. Look at the model in Example 3 on page 396. What is another way tomodel 25%?

Helping You Remember7. Look at the nutrition facts on any food label. Which item contains the

highest percent of daily value per serving? Make a model to representthat amount. Label the model to indicate what the model shows.

Reading to Learn MathematicsModeling Percents

NAME ________________________________________ DATE ______________ PERIOD _____

75%

37 out of 100

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We the People

Who are the people of the United States? Thegraphs at the right show just a small part ofthe data gathered in the 2000 Census of thePopulation. Using the data shown on thesegraphs, decide whether each statement is trueor false.

1. About 12% of all the people counted inthe census responded that they are black.

2. About 5% of all the people counted in the census identified their national origin as Cuban.

3. About 58% of the Hispanic Americans counted in the census identified their national origin as Mexican.

4. The number of people who identified themselves aswhite is about 120 million.

5. How well can you picture data? In the space at the right, sketch a circle graph to show the data below.

Americans Region of Residence, 2000

,

Hispanic or Latino Americans:National Origin, 2000

Total Population: 35,305,818

Mexico58%

Other28%

Puerto Rico10%

Cuba4%

Population of the United States, 2000

White75%

Total Population: 281,421,906

Black12%

Other Races8%

Asian andPacific Islander

4%

American Indian,Eskimo, and Aleut

1%

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

Americans’ Region of Residence, 2000

NortheastMidwestSouthWest

19%23%35%23%


Write 15% as a fraction in simplest form.

15% means 15 out of 100.

15% � �11050�

Write the percent as a fractionwith a denominator of 100.

� or �230�

Simplify. Divide the numerator and denominator by the GCF, 5.

Write 180% as a fraction in simplest form.

180% means 180 out of 100.

180% � �118000�

Write the percent as a fractionwith a denominator of 100.

� or 1�45� Simplify.

Write �25� as a percent. Write �

98� as a percent.

�25� � �1

n00�

Set up a proportion. �98� � �1

p00�

Set up a proportion.

2 � 100 � 5 � n Write the cross products. 9 � 100 � 8 � p Write the cross products.200 � 5n Multiply. 900 � 8p Multiply.

�2050

� � �55n� Divide each side by 5. �

9080

� � �88p� Divide each side by 8.

40 � n 112.5 � p

So, �25� is equivalent to 40%. So, �

98� is equivalent to 112.5%.

Write each percent as a fraction in simplest form.

1. 20% 2. 35% 3. 70%

4. 60% 5. 150% 6. 225%

Write each fraction as a percent.

7. �130�

8. �1200�

9. �85�

10. �15� 11. �

180� 12. �1

1030�

You can also write fractions as percents. To write a fraction as a percent, write a proportion and solve.

1804��100

5�

153��100

20�

To write a percent as a fraction, write it as a fraction with a denominator of 100. Then simplify.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionPercents and Fractions

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Write each percent as a fraction in simplest form.

1. 40% 2. 30% 3. 55%

4. 75% 5. 140% 6. 175%

7. 24% 8. 68% 9. 44%

10. 92% 11. 110% 12. 155%

13. 18% 14. 74% 15. 43%

Write each fraction as a percent.

16. �45� 17. �2

30�

18. �170�

19. �35� 20. �

32� 21. �

54�

22. �65� 23. �2

90�

24. �1230�

25. �1270�

26. �95� 27. �

1110�

28. �1290�

29. �1130�

30. �12010�

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsPercents and Fractions



Practice: Word ProblemsPercents and Fractions

NAME ________________________________________ DATE ______________ PERIOD _____

1. TOYS The Titanic Toy Company has a4% return rate on its products. Writethis percent as a fraction in simplestform.

2. MUSIC There are 4 trombones out of 25instruments in the Landers town band.What percent of the instruments aretrombones?

3. SHOPPING Alicia’s favorite clothingstore is having a 30% off sale. Whatfraction represents the 30% off sale?

4. FOOD At Ben’s Burger Palace, 45% ofthe customers order large soft drinks.What fraction of the customers orderlarge soft drinks?

�290�

5. BASKETBALL In the 2001–2002 NBAseason, Shaquille O’Neal of the LosAngeles Lakers made 60% of his fieldgoals. What fraction of his field goalsdid Shaquille make?

6. SCHOOL In Janie’s class, 7 out of 25 students have blue eyes. Whatpercent of the class has blue eyes?

7. TESTS Michael answered �1270�

questions

correctly on his test. What percent ofthe questions did Michael answercorrectly?

8. RESTAURANTS On Saturday afternoon,

�4510�

telephone calls taken at The

Overlook restaurant were for dinnerreservations. What percent of thetelephone calls were for dinnerreservations?

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1. What was the second most popular reason?

2. What percent represents this section of the graph?

3. Based on the meaning of 22%, make a conjecture as to how you would write this percent as a fraction.

Reading the Lesson4. Write the two steps to use to write a percent as a fraction.

5. Look at the graphic at the top of page 400. What is the sum of the percents? Look at the table at the top of page 401. What is the sum of the percents? Why is this important?

6. Look at Example 2 on page 400. Why is 125% written a mixed number?

Helping You Remember7. Write a fraction as a percent using the steps shown in Examples 4 and 5

on page 401. Choose any fraction you like different from those in theExamples.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsPercents and Fractions


Step Equation(s)

Set up a proportion.

Write the crossproducts.

Multiply.

Divide.

Conclusion. So, ___________ is equivalent to ____________.


Percent and the Hundred Chart The chart at the right shows all the whole numbers from 1 through 100.

This page challenges you to connect percents to what you know about number theory—factors, multiples, divisibility,and so on. Whenever you can, use a pattern in the chart to make your work easier.

For example, the multiples of 5 make uptwo columns of the chart—the fifth column and the tenth. So, 20 out of 100 numbers, or 20% of the numbers, are multiples of 5.

Use the hundred chart above. Find the percent of the numbers that:

1. are even numbers. 2. are odd numbers.

3. are multiples of 9. 4. are multiples of 11.

5. are divisible by 5. 6. are divisible by 3.

7. are divisible by 2 and 8. are divisible by 2 anddivisible by 5. divisible by 3.

9. contain only even digits. 10. contain only odd digits.

11. have digits whose sum is 10. 12. have digits whose sum is 5.

13. contain the digit 0. 14. contain the digit 5.

15. are factors of 100. 16. are factors of 101.

17. are prime. 18. are composite.


1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

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Write 23% as a decimal.

23% � �12030�

Rewrite the percent as a fraction with a denominator of 100.

� 0.23 Write the fraction as a decimal.

Write 127% as a decimal.

127% � �112070�



Write 0.8% as a decimal.

0.8% � �100.80�


� � Multiply by �1100� to eliminate the decimal in the numerator.


Write 0.441 as a percent.

0.441 � �14,04010� Write the decimal as a fraction.

� �14,04010��

1100� Divide by 10 to get a denominator of 100.

� �4140.01

� or 44.1% Write the fraction as a percent.

Write each percent as a decimal.

1. 39% 2. 57% 3. 82%

4. 135% 5. 112% 6. 0.4%

Write each decimal as a percent.

7. 0.86 8. 0.36 9. 0.65

10. 0.2 11. 0.148 12. 0.217

To write a decimal as a percent, first write the decimal as a fraction with a denominator of 100. Thenwrite the fraction as a percent.

101��10

0.8�100

10�

To write a percent as a decimal, first rewrite the percent as a fraction with a denominator of 100. Thenwrite the fraction as a decimal.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionPercents and Decimals


Write each percent as a decimal.

1. 5% 2. 8%

3. 37% 4. 12%

5. 29% 6. 54%

7. 48% 8. 79%

9. 0.1% 10. 0.6%

11. 0.2% 12. 0.5%

13. 123% 14. 102%

15. 135% 16. 310%

Write each decimal as a percent.

17. 0.3 18. 0.7

19. 0.19 20. 0.74

21. 0.66 22. 0.52

23. 0.21 24. 0.81

25. 0.13 26. 0.362

27. 0.528 28. 0.245

29. 0.194 30. 0.334

31. 0.426 32. 0.059

Practice: SkillsPercents and Decimals

NAME ________________________________________ DATE ______________ PERIOD _____

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPercents and Decimals


1. COMMUTING According to the 2000 U.S.census, 76% of U.S. workers commuteto work by driving alone. Write 76% asa decimal.

2. BASEBALL Barry Bonds’s battingaverage for the 2002 season was 0.370.Write 0.370 as a percent.

3. ELECTIONS In the 2002 U.S. midtermelections, 39% of eligible adults voted.What is 39% written as a decimal?

4. BASKETBALL In the 2001–2002 season,Jason Kidd of the New Jersey Nets hada field goal average of 0.391. What is0.391 written as a percent?

5. SPORTS When asked to choose theirfavorite sport, 27% of U.S. adults whofollow sports selected professionalfootball. What decimal is equivalent to27%?

6. AGE Lawrence is 18 years old and hisbrother Luther is 12 years old. Thismeans that Lawrence is 1.5 times olderthan Luther. What percent isequivalent to 1.5?

7. WATER About 5% of the surface area ofthe U.S. is water. What decimalrepresents the amount of the U.S.surface area taken up by water?

8. POPULATION China accounts for 0.207of the world’s population. What percentof the world’s population lives inChina?



1. What percent does the circle graph represent?

2. What fraction represents the section of the graph labeled rent?

3. Write the fraction from Exercise 2 as a decimal.

Reading the LessonComplete each of the following sentences.

4. To rewrite a fraction with a denominator of 100 as a decimal, move thedecimal point of the numerator __________ places to the __________.

5. To rewrite a fraction with a denominator of __________ as a decimal,move the decimal point of the numerator 3 places to the left.

6. Look at Example 3 on page 404. Why does the denominator change from100 to 1,000?

Helping You Remember7. Look at Example 5 on page 405. Explain why the first fraction has a

denominator of 1,000. Then explain what happens at the next step.

Reading to Learn MathematicsPercents and Decimals

NAME ________________________________________ DATE ______________ PERIOD _____

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Percent and Per MillA percent is a ratio that compares a number to 100.

�18030�

� 83 percent � 83% � 0.83

A ratio that compares a number to 1,000 is called a per mill. Just likepercent, the ratio per mill has a special symbol, ‰.

�1,80300� � 83 per mill � 83‰ � 0.083

Throughout the world, the ratio that is used most commonly is percent.However, in some countries, you will find both ratios in use.

Express per mill as a decimal.

1. 325‰ 2. 71‰ 3. 6‰

4. 900‰ 5. 20‰ 6. 100‰

Express each per mill as a fraction in simplest form.

7. 47‰ 8. 400‰ 9. 100‰

10. 25‰ 11. 150‰ 12. 30‰

Express each fraction as a per mill.

13. �17,02090� 14. �1

5080�

15. �170�

16. �12� 17. �

34� 18 �

58�

19. �45� 20. �

1270�

21. �13�

22. CHALLENGE In the United States, you will sometimes find the mill usedas a monetary unit. What amount of money do you think is representedby 1 mill?

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment



Find 70% of 40.

Method 1 Write the percent as a fraction. Method 2 Write the percent as a decimal.

70% � �17000�

or �170�

70% � �17000�

or 0.7

�170�

of 40 � �170�

� 40 or 28 0.7 of 40 � 0.7 � 40 or 28

So, 70% of 40 is 28. Use a model to check the answer.

The model comfirms that 70% of 40 is 28.

Find 120% of 25.

Method 1 Write the percent as a fraction. Method 2 Write the percent as a decimal.

120% � �112000�

or �65� 120% � �

112000�

or 1.2

�65� of 25 � �

65� � 25 or 30 1.2 of 25 � 1.2 � 25 or 30

So, 120% of 25 is 30.

Find the percent of each number.1. 10% of 120 2. 60% of 25 3. 75% of 24

4. 90% of 40 5. 120% of 20 6. 150% of 2

7. 15% of 40 8. 30% of 70 9. 150% of 6

10. 165% of 20 11. 8% of 15 12. 6% of 6

0%

0

10%

4

20%

8

30%

12

40%

16

50%

20

60%

24

70%

28

80%

32

90%

36 40

100%

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionPercent of a Number

One way to find the percent of a number is to write the percent as a fraction and then multiply. Anotherway is to write the percent as a decimal and then multiply.

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Find the percent of each number.

1. 25% of 16 2. 50% of 70 3. 10% of 30

4. 60% of 40 5. 75% of 20 6. 20% of 90

7. 30% of 110 8. 50% of 140 9. 25% of 80

10. 4% of 100 11. 75% of 36 12. 90% of 120

13. 125% of 40 14. 8% of 25 15. 150% of 22

16. 110% of 50 17. 125% of 60 18. 0.4% of 5

19. 6.5% of 40 20. 0.5% of 14 21. 0.1% of 29

22. 130% of 80 23. 4.5% of 60 24. 0.5% of 34

25. 14.5% of 60 26. 14% of 30 27. 24% of 15

28. 140% of 30 29. 6% of 55 30. 160% of 22

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsPercent of a Number



Practice: Word ProblemsPercent of a Number

NAME ________________________________________ DATE ______________ PERIOD _____

1. SCHOOL There are 520 students atNorthridge High School. 80% of thesestudents take the bus. How manystudents take the bus?

2. AGE Theresa is 60% as old as her sisterMala, who is 20 years old. How old isTheresa?

3. TIPPING Charlie wants to leave a 15%tip for a meal that costs $40. Howmuch should Charlie leave for a tip?

4. SALES TAX Charmaine wants to buy ashirt for $15. If the sales tax is 4% of$15, how much will she pay in salestax?

5. FOOTBALL In the 2001–2002 regularseason, the Green Bay Packers won75% of their games. There were 16regular season games. How manygames did Green Bay win?

6. BASEBALL During the 2002 WorldSeries, Rich Aurilia of the SanFrancisco Giants had a batting averageof 250 or 25%. He was at bat 32 times.How many hits did he get?

7. RUNNING Thomas finished the race in120 minutes. James took 95.5% as longas Thomas to finish the race. How longdid it take James to finish the race?

8. SHOPPING A DVD player that normallycosts $160 is on sale for 70% of itsnormal price. What is the sale price ofthe DVD player?

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1. What percent of the cars were traveling 20 miles per hour over the speed limit?

2. Write a multiplication sentence that involves a percent that could be usedto find the number of cars out of 300 that were traveling 20 miles an hourover the speed limit.

Reading the Lesson3. What are two different methods you can use to find the percent of a

number?

4. Complete the statement: 12% of 48 has the same meaning as 12% 48.

Helping You Remember5. Work with a partner. Make up a problem in which you can find the

percent of a number as in Examples 1 and 2. One person uses Method 1,writing the percent as a fraction. The other person uses Method 2, writingthe percent as a decimal. Compare your results. Make up anotherproblem and have each person use the other method. Again, compare yourresults. Do you prefer one method over the other? Explain.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsPercent of a Number



Estimating Sales TaxMany states charge a sales tax on purchases. To be sure that you have enough money, you should be able toestimate the amount of sales tax and the total cost of an item. For example,this is how you can estimate the total cost of the purchase shown at the right.

First, round the Multiply the rounded numbers.price and the rate. 11 dollars$10.95 ➝ $11

�� 7

7¢7¢

pe�r

8d0o¢llar

� 7% means 7¢ per 100¢,6.75% ➝ 7% or 7¢ per dollar.

So, the total cost is close to $11 � 80¢, or $11.80.

Estimate the total cost of each purchase.

1. 2. 3.

sales tax sales tax sales taxrate: 5% rate: 5.75% rate: 4.255%

4. 5. 6.

sales tax sales tax sales taxrate: 6�

12�% rate: 8�

14�% rate: 6.25%

Will $50 be enough money to make such purchase?

7. 8. 9.

sales tax sales tax sales taxrate: 3% rate: 4.75% rate: 8�

14�%

10. CHALLENGE The price marked on a cassette tape is $8.99. With the salestax, the total cost of the tape is $9.37. Estimate the sales tax rate.

$46.99$46.99

$48.95

$117.99

$79.00

$29.95

$19.88$11.97

$6.98

$10.95

sales taxrate: 6.75%


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The table below shows some commonly used percents and their fraction equivalents.

Estimate each percent.

20% of 58 76% of 25.

20% is �15�. 76% is close to 75% or �

34�.

Round 58 to 60 since it is divisible by 5. Round 25 to 24 since it is divisible by 4.

�15� � 60 � � �

34� � 24 � �

� 12 � 18So, 20% of 58 is about 12. So, 76% of 25 is about 18.

Estimate the percent of the figure that is shaded.

2 out of 9 circles are shaded.

�29� is about �

39� or �

13�

�13� � 33�

13�%

So, about 33�13�% of the figure is shaded.

Estimate each percent.1. 49% of 8 2. 62% of 20 3. 40% of 51

4. 24% of 27 5. 81% of 32 6. 19% of 46

Estimate the percent that is shaded in each figure.7. 8. 9.

246��1

3�41�

6012��1

1�51�


NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionEstimating with Percents

Percent-Fraction Equivalents

20% � �15

� 50% � �12

�

30% � �130� 60% � �

35

�

40% � �25

� 70% � �170� 100% � 1

90% � �190�

80% � �45

�

75% � �34

�

25% � �14

�

66�23

�% � �23

�

33�13

�% � �13

�



1. 58% of 5 2. 41% of 10 3. 75% of 17

4. 50% of 39 5. 24% of 13 6. 82% of 24

7. 19% of 31 8. 73% of 61 9. 62% of 34

10. 49% of 71 11. 38% of 42 12. 27% of 81

13. 79% of 16 14. 52% of 118 15. 19% of 94

16. 33% of 61 17. 91% of 82 18. 67% of 241

Estimate the percent of the figure that is shaded.

19. 20. 21.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsEstimating with Percents

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsEstimating with Percents

1. SCHOOL At Westside High School, 24%of the 225 sixth grade students walk toschool. About how many of the sixthgrade students walk to school?

2. BASKETBALL In the 2002 regular seasonthe WNBA Cleveland Rockers won31.25% of their games. They had 32games in their regular season. Abouthow many games did they win?

�130� � 30 � 9 games

3. SALES TAX The sales tax rate in Laconis 9%. About how much tax would youpay on an item that costs $61?

4. SPORTS The concession stand at afootball game served 178 customers. Ofthose, about 52% bought a hot dog.About how many customers bought ahot dog?

�12

� � 180 � 90 customers

5. READING Max has completed 39% of hisreading assignment. If there are303 pages in the assignment, abouthow many pages has Max read?

6. SHOPPING A store is having a 20% sale.That means the customer pays 80% ofthe regular price. About how muchwould you pay for an item thatregularly sells for $44.99?

answer: �45

� � 45 � $36

7. SLEEP A recent study shows that peoplespend about 31% of their time asleep.About how much time will a personspend asleep during an average 78 yearlifetime?

8. BIOLOGY The human body is 72%water, on average. About how muchwater will be in a person that weighs138 pounds?

�170� � 140 � 98 lb water


NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsEstimating with Percents


1. What would be the cost of the notebook at 10% off?

2. What would be the cost of the pencils at 25% off? Round to the nearest cent.

3. Explain how you might estimate the cost of the notebook at 10% off andthe cost of the pencils at 25% off.

Reading the Lesson4. Write the fraction for each percent.

5. Complete the sentence.When you estimate with percents, you round to numbers that are_______________.

Helping You Remember6. Work with a partner. Using the fractions and percents in the table you

completed for Exercise 4, take turns saying either a fraction or percent. Ifyou say a fraction, your partner writes the corresponding percent. If yousay a percent, your partner writes the corresponding fraction. Make sureyour partner cannot see the table above. Continue with your practiceuntil you can remember all the fractions and percents.

20% � 40% � 60% � 80% �

25% � �14

� 50% � �12

� 75% � �34

� 100% � 1

33�13�% � �

13

� 66�23�% � �

23

�

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Using 100%, 10%, and 1%Many people think of 100%, 10%, and 1% as key percents.

100% is the whole. 100% of 24 � 1 � 24, or 24.

10% is one tenth of the whole. 10% of 24 � 0.1 � 24, or 2.4.

1% is one hundredth of the whole. 1% of 24 � 0.01 � 24, or 0.24.


1. 100% of 8,000 2. 10% of 8,000

3. 1% of 8,000 4. 10% of 640

5. 100% of 720 6. 1% of 290

7. 1% of 50 8. 100% of 33

9. 10% of 14 10. 100% of 2

11. 1% of 9 12. 10% of 7

This is how you can use the key percents to make some computations easier.

3% of 610 � . 5% of 24 � .

1% of 610 � 6.1, 10% of 24 � 2.4,

so 3% of 610 � 3 � 6.1, or 18.3. so 5% of 24 � �12� of 2.4, or 1.2.


13. 2% of 140 14. 8% of 2,100

15. 4% of 9 16. 20% of 233

17. 70% of 90 18. 30% of 4,110

19. 5% of 160 20. 5% of 38

21. 50% of 612 22. 25% of 168

23. 2.5% of 320 24. 2.5% of 28

??

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment


Write the letter for the correct answer in the blank at the right of each question.


1. 20 out of 35 people

A. �2305�

B. �3250�

C. �184�

D. �47� 1.

2. 6 DVDs to 4 tapes

F. �32� G. �

23� H. �

64� I. �

46� 2.


3. 6 miles in 2 hoursA. 3 miles B. 3 miles per hour

C. �13� mile D. �

13� mile per hour 3.

4. $2.40 for a dozen pencilsF. $2.40 per dozen pencils G. $20 per pencilH. $0.20 per pencil I. $2 per pencil 4.


5. �3m2�

� �68�

A. 192 B. 48 C. 24 D. 43.7 5.

6. �32� � �

2y1�

F. 7 G. 31.5 H. 63 I. 14 6.

ARCHITECTURE For Questions 7 and 8, use the following information.On a set of architectural drawings, the scale is 1 inch � 8 feet.

7. If the length of the living room is 3 inches on the drawing, what is the actual length of the living room?A. 8 feet B. 16 feet C. 24 feet D. �

38� inches 7.

8. If the length of the dining room is 2 inches on the drawing, find the actuallength of the dining room.

F. 8 feet G. 16 feet H. �14� inch I. 4 feet 8.

9. Identify the percent that is modeled.A. 10% B. 20%C. 2% D. 80% 9.

Chapter 10 Test, Form 1


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

10. In which model is 48% of the figure shaded?F. G. H. I. 10.

11. Write 60% as a fraction in simplest form.

A. �16000�

B. �3500�

C. �1255�

D. �35� 11.

12. Write �230�

as a percent.

F. 18% G. 60% H. 15% I. 66.7% 12.

13. MONEY What percent of a dollar is a dime?A. 1% B. 5% C. 10% D. 0.10% 13.

14. Write 15% as a decimal.F. 0.015 G. 150 H. 0.15 I. 15 14.

15. Write 0.02 as a percent.A. 0.0002% B. 2% C. 20% D. 0.02% 15.

16. Which is a true statement?F. 97% � 79% G. 4.3% � 3.4% H. 5.3% � 53% I. 6.9% � 6.1% 16.

17. Find 10% of 25.A. 2.5 B. 25 C. 250 D. 0.25 17.

18. LAWN James made $120 last week mowing lawns. He put 15% of that amount into his savings account. How much did James put into his savings account?F. $18 G. $1.80 H. $180 I. $12.50 18.


19. 25% of 395A. 10 B. 100 C. 1,000 D. 1,600 19.

20. 48% of 60F. 3,000 G. 300 H. 3 I. 30 20.

Bonus What percent of the rectangle B:is shaded?

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 1 (continued)




1. 42 girls out of 56 people

A. �43� B. �

4526�

C. �68� D. �

34� 1.

2. 15 apples to 10 oranges

F. �23� G. �

32� H. �

1150�

I. �1105�

2.


3. 350 kilometers in 5 hours

A. 70 kilometers B. �70 k1ilhoomuerters

� C. D. �3505k

hil

ooum

resters

� 3.

4. $80 for 10 tickets

F. �10 t$i8c0kets� G. 8 tickets H. �1 t

$ic8ket� I. �

8 ti$c1kets� 4.


5. �1287�

� �1x8�

A. 12 B. 324 C. �23� D. 27 5.

6. �2y8� � �

47�

F. 16 G. 50 H. 49 I. 196 6.

ARCHITECTURE For Questions 7 and 8, use the following information.On a set of architectural drawing plans, the scale is 1 inch � 8 feet.

7. Find the actual length of a room if the length of the room measures 3 incheson the plans.A. 6 feet B. 24 feet C. 5 feet D. 22 inches 7.

8. Find the actual width of a room if the width is 1�34� inches on the plans.

F. 3�12� feet G. 22 feet H. 6 feet I. 14 feet 8.

9. Identify the percent modeled at the right.A. 60% B. 49%C. 51% D. 40% 9.

�17� kilometer��1 hour

Chapter 10 Test, Form 2A


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent



A. �110504�

B. �5707�

C. 1�2570�

D. �2570�

11.

12. Write �1270�

as a percent.

F. 85% G. 17% H. 34% I. 95% 12.

13. MONEY What percent of a dollar is a quarter?A. 0.025% B. 0.25% C. 2.5% D. 25% 13.

14. Write 141% as a decimal.F. 14.1 G. 1.41 H. 0.141 I. 141 14.

15. Write 0.054 as a percent.A. 5.4% B. 54% C. 0.00054% D. 0.54% 15.

16. Which percent is greater than 0.4?F. 29% G. 42% H. 39% I. 25% 16.


17. 12% of 84A. 1,008 B. 7 C. 10.08 D. 100.8 17.

18. 30% of 242F. 726 G. 7.26 H. 72.6 I. 8.07 18.


19. 49% of 598A. 3 B. 30 C. 300 D. 3,000 19.

20. 21% of 387F. 80 G. 0.8 H. 800 I. 8 20.

Bonus A 300-gram candle burns 45% of its weight. Find the B:mass of the remaining candle.

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 2A (continued)


Write the letter for the correct answer in the blank at the right of each question.Write each ratio as a fraction in simplest form.

1. 64 red cars out of 80 cars

A. �6840�

B. �8604�

C. �54� D. �

45� 1.

2. 16 pens to 12 brushes

F. �1162�

G. �43� H. �

1126�

I. �34� 2.


3. 180 miles on 10 gallons

A. 1.8 miles B. �118gmal

illoens

� C. D. �11080

gamlliolenss� 3.

4. $120 for 12 calculators

F. �1 cal$c1u0lator� G. �10 ca

$lc1u2lators� H. �12 ca

$l1cu20

lators� I. 10 calculators 4.


5. �m8� � �

1250�

A. 6 B. 60 C. 10.7 D. 1.5 5.

6. �1584�

� �1x0�

F. 30 G. 3 H. 540 I. 5.4 6.

MAP For Questions 7 and 8, use the following information.On a map of California the scale is 2 inches � 100 kilometers.

7. Find the actual distance between two cities if the distance on the map is

5�12� inches.

A. 11 kilometers B. 275 kilometersC. 550 kilometers D. 200 kilometers 7.

8. Find the actual length of a river if the length on the map is 1�14� inches.

F. 0.025 kilometer G. 125 kilometersH. 2.5 kilometers I. 62.5 kilometers 8.

9. Identify the percent modeled at the right.A. 70% B. 30%C. 28% D. 72% 9.

�118�

mile�1 gallon

Chapter 10 Test, Form 2B


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent



A. �117020�

B. �285�

C. 1�2158�

D. 1�1285�

11.

12. Write �1275�

as a percent.

F. 17% G. 34% H. 50% I. 68% 12.

13. MONEY What percent of a dollar is a dime?A. 10% B. 1% C. 0.01% D. 0.001% 13.

14. Write 3.8% as a decimal.F. 0.038 G. 380 H. 0.38 I. 38 14.

15. Write 2.4 as a percent.A. 2.4% B. 24% C. 0.024% D. 240% 15.

16. Which percent is greater than 0.19?F. 25% G. 18% H. 0.2% I. 10% 16.


17. 15% of 30A. 45 B. 450 C. 2 D. 4.5 17.

18. 125% of 400F. 4 G. 50 H. 500 I. 320 18.


19. 24% of 398A. 10 B. 100 C. 1,000 D. 0.1 19.

20. 48% of 159F. 80 G. 8 H. 0.8 I. 8,000 20.

Bonus A 500-gram candle burns off 35% of its mass. Find the B:mass of the remaining candle.

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 2B (continued)


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____



1. 16 blue-eyed people out of 50 people 1.

2. 18 rectangles to 4 circles 2.


3. 424 kilometers in 8 hours 3.

4. $60 for 12 months 4.


5. �2c5�

� �21060�

5.

6. �1105�

� �1x8� 6.

7. �1m8� � �

2370�

7.

MAPS For Questions 8 and 9, use the following information.On a map, the scale is 1 centimeter � 10 miles.

8. The distance on a map between two cities is 1.6 centimeters. 8.Find the actual distance.

9. The distance on a map between two cities is 3.8 centimeters. 9.Find the actual distance.

10. Model 45%. 10.

Chapter 10 Test, Form 2C

Ass

essm

ent


11. Identify the percent modeled at the right. 11.

12. Write 82% as a fraction in simplest form. 12.

13. Write �45� as a percent. 13.

14. Write 6% as a decimal. 14.

15. Write 0.046 as a percent. 15.


16. 30% of 80 16.

17. 51% of 63 17.

18. 3% of 500 18.


19. 48% of 61 19.

20. 74% of 21 20.

Bonus SHIP The mast on a model ship is 6�78� inches tall. B:

The scale is �18� inch � 1 foot. Find the length of the

actual mast on the ship.

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 2C (continued)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____



1. $25 out of every $500 collected 1.

2. 12 children to 20 adults 2.


3. 240 miles on 8 gallons of gasoline 3.

4. 180 students for 6 classes 4.


5. �1m8�

� �3207�

5.

6. �d6

� � �1281�

6.

7. �1146�

� �7f�

7.

MAPS For Questions 8 and 9, use the following information.On a map, the scale is 1 centimeter � 10 kilometers.

8. The distance on a map between Montgomery and Indian Hill 8.is 2.3 centimeters. Find the actual distance.

9. The distance on a map between two cities is 0.75 centimeter. 9.Find the actual distance.

10. Model 85%. 10.

Chapter 10 Test, Form 2D

Ass

essm

ent


11. Identify the percent modeled at the right. 11.

12. Write 12% as a fraction in simplest form. 12.

13. Write �35� as a percent. 13.

14. Write 9% as a decimal. 14.

15. Write 0.931 as a percent. 15.


16. 15% of 140 16.

17. 64% of 25 17.

18. 110% of 55 18.


19. 41% of 203 19.

20. 52% of 248 20.

Bonus BICYCLE Marko buys a bike marked $400. He receives B:a 20% employee discount and pays 8% sales tax on the discounted price. How much does Marko pay for the bike?

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 2D (continued)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____



1. 60 fish to 440 frogs 1.

2. 35 shots made out of 55 attempted 2.


3. 162 heartbeats in 60 seconds 3.

4. 135 push-ups in 6 minutes 4.


5. �1z4�

� �14688�

5.

6. �6y0� � �1

8200�

6.

7. �61..46�

� �0b.4�

7.

CONSTRUCTION For Questions 8–10, use the following information.On a scale drawing of a swimming pool, �

18� inch � 4 feet.

Find the actual length of each dimension.

8. 8.

9. 9.

10. 10.

Identify each percent modeled.

11. 11.

12. 12.

Chapter 10 Test, Form 3

Dimension Drawing Length

length 1�58� inches

width �34� inch

depth �136�

inch

Ass

essm

ent


13. Model 29%. 13.

Write each percent as a decimal and as a fraction in simplest form.

14. 6% 14.

15. 0.8% 15.

16. 230% 16.

Write each fraction or decimal as a percent.

17. �1265�

17.

18. �2580�

18.

19. 0.15 19.


20. 35% of 105 20.

21. 6% of 300 21.

22. 96% of 85 22.


23. 32% of 19 23.

24. 76% of 123 24.

25. SALES TAX The sales tax is 8.5%. Estimate how much tax 25.will be charged for a purchase totaling $42.99.

Bonus SHIRT A sweatshirt is on sale for $15. This is 80% of the B:regular price. What was the regular price of the sweatshirt?

NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 10 Test, Form 3 (continued)

Demonstrate your knowledge by giving a clear, concise solution toeach problem. Be sure to include all relevant drawings and justifyyour answers. You may show your solution in more than one way orinvestigate beyond the requirements of the problem. If necessary,record your answer on another piece of paper.

1. a. Tell in your own words the meaning of ratio.

b. Give an example of a ratio. Write the ratio in four ways.

c. Tell in your own words the meanings of rate and unit rate. Give anexample of a unit rate and an example of a rate that is not a unit rate.

d. Tell in your own words the meaning of proportion.

e. Write a word problem that uses a scale drawing and proportions.

f. Solve the word problem in part e. Explain each step.

2. A store is marking merchandise down for the back-to-school sale.Clothing is to be marked down 30%. School supplies are to be on sale for�14� off, and sporting goods prices will be reduced 20%.

a. Tell how to write a percent as a fraction and as a decimal.

b. Find the sale price of a $35 basketball in two ways.

c. Estimate the sale price of a jacket regularly priced $40. Explain yourreasoning.

d. Find the sale price of the jacket in part c.

e. Tell how to write a fraction as a percent.

f. Write �14� as a percent. Show your work.

g. On which item would a customer save more money, the $35 basketballor a $32 book for school? Explain your reasoning.

Chapter 10 Extended Response Assessment


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Choose the correct term to complete each sentence.

1. A unit rate is a ratio that always has a (denominator, 1.numerator) of 1.

2. Equivalent ratios are ratios that have the same 2.(denominator, value)

3. A (proportion, rate) is an equation showing that two ratios 3.are equivalent.

4. A (scale, percent) gives the ratio that compares the 4.measurements on a scale drawing of an object to the measurements of the real object.

5. A (cross product, ratio) is a comparison of two numbers by 5.division.

6. A (unit rate, rate) best tells the quantity per unit measure. 6.

7. A scale drawing is a drawing of an object in which the 7.measurements are (proportional, identical) to themeasurements on the actual object.

8. 50 miles in 2 hours is an example of a (rate, scale). 8.

9. In order for two ratios to form a proportion, their 9.(cross products, unit rates) must be equal.

10. A (percent, rate) is a ratio that compares a number to 100. 10.

In your own words, define the term.

11. cross product

Chapter 10 Vocabulary Test/Review


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

cross products (p. 386)equivalent ratios (p. 381)percent (%) (p. 395)proportion (p. 386)rate (p. 381)

ratio (p. 380)scale (p. 391)scale drawing (p. 391)scale model (p. 391)unit rate (p. 381)

Write each ratio as a fraction in simplest form. 1.

1. 12 cats to 15 dogs 2. 4 eggs to 22 ounces 2.

3. 16 girls out of 40 students 3.

Write each ratio as a unit rate. 4.

4. 75 miles in 60 minutes 5. $11.97 for 3 rental DVDs 5.

Solve each proportion. 6.

6. �a6� � �1

50�

7. �6x� � �1

9.5�

7.

8. �34� � �6

c� 9. �

45� � �

2z0�

8.

9.

10. GROCERIES Suppose you buy 3 pounds of bananas for $0.99. 10.How many pounds can you buy for $4.95?

BRIDGE On a scale model of the Golden Gate Bridge, the scale is 1 inch � 100 meters. Find the actual measurements.

1. 1.

2. 2.

For Questions 3 and 4, model each percent. 3.

3. 72%

4. 12% 4.

5. Identify the percent modeled. 5.

Chapter 10 Quiz(Lessons 10-1 and 10-2)



NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Dimension Model Measurement

width �14� inch

length 27 inches

Ass

essm

ent

Write each percent as a fraction in simplest form. 1.

1. 5% 2. 130% 2.

Write each fraction as a percent. 3.

3. �290�

4. �52� 4.

Write each percent as a decimal. 5.

5. 21% 6. 0.4% 6.

Write each decimal as a percent. 7.

7. 0.35 8. 0.812 8.

Replace each � with �, �, or � to make a true sentence. 9.

9. 13% � 1.3% 10. 5.1% � 15% 10.


1. 20% of 150 1.

2. 0.4% of 88 2.


3. 69% of 140 3.

4. 26% of 119 4.

5. MULTIPLE-CHOICE TEST ITEM Which of the following is a reasonable percent for the percent of the figure that is shaded?A. 25% B. 30%C. 50% D. 65% 5.




NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____


1. Write the ratio 45 boys out of 60 students as a fraction in simplest form.

A. �43� B. �

34� C. �

37� D. �

4650�

1.

2. Write the ratio 180 miles on 10 gallons of gas as a unit rate.

F. 18 miles G. �181gmal

illoens� H. �

118gmal

illoens

� I. �181gmal

illoens

� 2.

For Questions 3 and 4, solve each proportion.

3. �8m0�

� �1250�

A. 6 B. 60 C. 1,200 D. �610�

3.

4. �1584�

� �1x0�

F. 30 G. 3 H. 540 I. �13� 4.

5. Identify the percent modeled.A. 20% B. 80% 5.C. 64% D. 36%

For Questions 6 and 7, solve each proportion.

6. �1m8� � �1

5000�

6.

7. �2376�

� �1x6�

7.

STATES For Questions 8 and 9, use the following information.On a map of Texas, the scale is 4 inches � 100 miles.

8. The distance between two cities is 2�12� inches. Find the 8.

actual distance.

9. A river measures 5 inches. Find the actual distance. 9.

10. Model 42%. 10.

Chapter 10 Mid-Chapter Test(Lessons 10-1 through 10-4)


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

1. Find the value of 4a � 5 � b � 2c if a � 10, b � 3, and c � 4. 1.(Lesson 1-6)

2. SCHOOL Thirty students take a math test. The highest 2.score is 97 points, and the range is 29. What is the lowest score? (Lesson 2-7)

3. SHOPPING Pete buys a CD for $12.39. If he pays with 3.a $20 bill, how much change will he get back? (Lesson 3-5)

4. Evaluate d � c if c � 4 and d � 28.5. (Lesson 4-3) 4.

5. Write 3.065 as mixed number in simplest form. (Lesson 5-6) 5.

6. Find 6�1112�

� 2�16�. Write in simplest form. (Lesson 6-5) 6.

Multiply or divide. Write in simplest form.

7. �25� �

78� (Lesson 7-2) 7.

8. �67� � �1

94�

(Lesson 7-4) 8.

9. Write the opposite of �8. (Lesson 8-1) 9.

10. Rewrite 5 74 20 so that it is easy to calculate mentally. 10.Then mentally find the product. (Lesson 9-1)

Solve each equation.

11. 3 � m � 5 (Lesson 9-2) 11.

12. 15 � �3n (Lesson 9-4) 12.

13. Complete the function table. 13.(Lesson 9-6)

14. Write the ratio 30 shots made out of 45 attempted as afraction in simplest form. (Lesson 10-1) 14.

15. Solve �6z� � �

3305�

. (Lesson 10-2) 15.

16. Write �1590�

as a percent. (Lesson 10-5) 16.

17. Write 0.29% as a decimal. (Lesson 10-6) 17.

18. Find 80% of 320. (Lesson 10-7) 18.

Chapter 10 Cumulative Review(Chapters 1–10)


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Input(x) Output(x � 3)

�1

0

2

1. The line graph shows Ravi’s savings from January through May. What is the best prediction for Ravi’s July balance?(Lesson 2-4)

A. $300 B. $350 1.C. $400 D. $500

2. Twenty out of twenty-five students in Martin’s class own a pet. What is the fraction of the class that own pets? Write in simplest form. (Lesson 5-2)

F. �2205�

G. �18000�

H. �45� I. �

49� 2.

3. Find 7�18� � 3�2

54�

in simplest form. (Lesson 6-6)

A. 3�1112�

B. 4�1112�

C. 3�2224�

D. 4�14� 3.

4. What number is missing from the sequence 128, 64, 32, , 8? (Lesson 7-6)

F. 10 G. 24 H. 16 I. 12 4.

5. Which list is in order from greatest to least? (Lesson 8-1)

A. 3, 0, �4, �2 B. �4, 3, �2, 0C. 3, 0, �2, �4, D. �4, �2, 0, 3 5.

6. There are 4 more white roses in a bouquet than there are red roses. If there are 8 white roses, how many red roses are in the bouquet? (Lesson 9-2)

F. �4 G. 4 H. 12 I. �12 6.

For Questions 7 and 8, solve each equation.

7. 7 � n � 1 (Lesson 9-3)

A. 8 B. �8 C. 6 D. �6 7.

8. 4m � 7 � 9 (Lesson 9-5)

F. �12� G. ��

12� H. 4 I. �4 8. DCBA

IHGF

IHGF

DCBA

IHGF

?

DCBA

IHGF

DCBA

Jan.

Feb.

Mar. Apr.

May

300

200

100

400

500

Amou

nt ($

)

Month

0

Ravi s Savings,

Part 1: Multiple Choice

Instructions: Fill in the appropriate oval for the best answer.


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Standardized Test Practice(Chapters 1–10)

Ass

essm

ent

9. Five of the first 25 presidents were born in March. What percent of the first 25 presidents were born in March?(Lesson 10-5)

A. 20% B. 5% C. 25% D. 50% 9.

10. What is the least common multiple 10. 11.of 4 and 14? (Lesson 5-4)

11. A board that is 10�12� feet long will be

cut into pieces that are each �78� feet long.

How many pieces of board will there be?(Lesson 7-5)

12. Find the product of 4 and �7. (Lesson 8-4) 12.

13. Solve �2n5�

� �1360�

. (Lesson 10-2) 13.

14. a. Identify the percent that is modeled. (Lesson 10-4)

b. Write this percent as a fraction in simplest form. Explain eachstep of your solution. (Lesson 10-5)

c. Write this percent as a decimal. Explain your solution. (Lesson 10-6)

Part 3: Extended Response

Instructions: Write your answers below or to the right of the questions.

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

Part 2: Short Response/Grid In

Instructions: Enter your grid in answers by writing each digit of the answer in acolumn box and then shading in the appropriate circle that corresponds to that entry.Write answers to short answer questions in the space provided.

DCBA


Standardized Test Practice (continued)

(Chapters 1–10)

An

swer

s

© Glencoe/McGraw-Hill A1 Mathematics: Applications and Concepts, Course 1

Standardized Test PracticeStudent Recording Sheet (Use with pages 422–423 of the Student Edition.)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Part 1:

Solve the problem and write your answer in the blank.

For grid in questions, also enter your answer by writing each number or symbolin a box. Then fill in the corresponding circle for that number or symbol.

8. (grid in) 8. 11. 14.

9.

10.

11. (grid in)

12.

13.

14. (grid in) 15. 16. 18.

15. (grid in)

16. (grid in)

17.

18. (grid in)

19. (grid in)

20. 19.

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

Select the best answer from the choices given and fill in the corresponding oval.

Multiple Choice

1.

2.

3.

4.

5.

6.

7. DCBA

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

Part 2: Short Response/Grid in

Record your answer forQuestion 21 on the back of this paper.

Part 3: Extended Response

An

swer

s


General Scoring Guidelines• If a student gives only a correct numerical answer to a problem but does not show how he or she

arrived at the answer, the student will be awarded only 1 credit. All extended response questionsrequire the student to show work.

• A fully correct answer for a multiple-part question requires correct responses for all parts of thequestion. For example, if a question has three parts, the correct response to one or two parts of thequestion that required work to be shown is not considered a fully correct response.

• Students who use trial and error to solve a problem must show their method. Merely showing thatthe answer checks or is correct is not considered a complete response for full credit.

Exercise 21 Rubric

Standardized Test PracticeRubric (Use to score the Extended Response question on page 423 of the Student Edition.)

Score Specific Criteria

4 A proportion equivalent to �322�

� �1x� is written. The proportion is correctly solved to

determine that one foot on the model represents 16 ft. Another proportion is used to

determine that a branch that is 4 ft long should be �14� ft or 3 in. on the model.

3 The proportions are correct, but one computational error is made in solving one ofthe proportions. OROne of the proportions and its solution are correct. The other proportion is incorrect,but the solution of the given proportion is correct.

2 One of the proportions and its solution are correct, but the other proportion and itssolution is incorrect. ORBoth of the proportions are correct, but the solutions are incorrect.

1 Only one of the proportions is correct, and neither solution is correct. OROne or both of the solutions is correct, but the proportions are not given.

0 Response is completely incorrect.


An

swer

s

Wri

te e

ach

rat

io a

s a

frac

tion

in

sim

ple

st f

orm

.

1.3

sail

boat

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6 m

otor

boat

s�1 2�

2.4

tuli

ps t

o 9

daff

odil

s�4 9�

3.5

base

ball

s to

25

soft

ball

s�1 5�

4.2

days

ou

t of

8 d

ays

�1 4�

5.6

pood

les

out

of 1

8 do

gs�1 3�

6.10

yel

low

egg

s ou

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12

colo

red

eggs

�5 6�

7.12

sh

eets

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pape

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28

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20

tree

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21.

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for

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Ds

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tru

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er C

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Wri

te t

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win

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9lo

sses

as a

fra

ctio

n i

n s

impl

est

form

.�7 3�

24.

Wri

te t

he

rati

o $1

2 d

olla

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or 3

tic

kets

as a

un

it r

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$4 p

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t

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsR

atio

s

©G

lenc

oe/M

cGra

w-H

ill49

2M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill49

1M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Ref

er t

o th

e d

iagr

am a

t th

e ri

ght.

Wri

te t

he

rati

o th

at c

ompa

res

the

nu

mbe

r of

cir

cles

to

the

nu

mbe

r of

tri

angl

es.

�4 5�T

he G

CF

of

4 an

d 5

is 1

.

So,

th

e ra

tio

of c

ircl

es t

o tr

ian

gles

is

�4 5�, 4

to

5, o

r 4:

5.

For

eve

ry 4

cir

cles

, th

ere

are

5 tr

ian

gles

.

Wri

te t

he

rati

o th

at c

ompa

res

the

nu

mbe

r of

cir

cles

to

the

tota

l n

um

ber

of f

igu

res.

�2

� 14 0��

�2 5�T

he G

CF

of

4 an

d 10

is 2

.

�2

Th

e ra

tio

of c

ircl

es t

o th

e to

tal

nu

mbe

r of

fig

ure

s is

�2 5�, 2

to

5, o

r 2:

5.

For

eve

ry t

wo

circ

les,

th

ere

are

five

tot

al f

igu

res.

Wri

te t

he

rati

o 20

stu

den

ts t

o 5

com

pu

ters

as a

un

it r

ate.

�5

� 520co

s mtupd ue tn et rs s�

� 14cs ot mu

d pe un tt es r�

Div

ide

the

num

erat

or a

nd t

he d

enom

inat

or b

y 5

to g

et a

den

omin

ator

of

1.

�5

Th

e ra

tio

wri

tten

as

a u

nit

rat

e is

4 s

tud

ents

to

1 co

mpu

ter.

Wri

te e

ach

rat

io a

s a

frac

tion

in

sim

ple

st f

orm

.

1.2

gupp

ies

out

of 6

fis

h2.

12 p

upp

ies

to 1

5 ki

tten

s3.

5 bo

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ut

of 1

0 st

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�1 2�

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s a

un

it r

ate.

4.6

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for

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eopl

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$12

for

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un

ds6.

40 p

ages

in

8 d

ays

2 eg

gs

per

per

son

$3 p

er p

ou

nd

5 p

ages

per

day

A r

ate

is a

rat

io o

f tw

o m

easu

rem

ents

hav

ing

diffe

rent

kin

ds o

f un

its.W

hen

a ra

te is

sim

plifi

ed s

o th

atit

has

a de

nom

inat

or o

f 1,

it is

cal

led

a u

nit

rat

e.

circ

les

➝to

tal f

igur

es➝

circ

les

➝tr

iang

les

➝

A r

atio

is a

com

paris

on o

f tw

o nu

mbe

rs b

y di

visi

on.A

com

mon

way

to

expr

ess

a ra

tio is

as

a fr

actio

n

in s

impl

est

form

.Rat

ios

can

also

be

writ

ten

in o

ther

way

s.F

or e

xam

ple,

the

rat

io �2 3�

can

be w

ritte

n as

2 to

3,

2 ou

t of

3,

or 2

:3.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Rat

ios ��

��

Lesson 10–1

Answers (Lesson 10-1)


©G

lenc

oe/M

cGra

w-H

ill49

4M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

380

in y

ou

r te

xtb

oo

k.

Wri

te y

ou

r an

swer

s b

elo

w.

1.W

rite

a s

ente

nce

th

at c

ompa

res

the

nu

mbe

r of

nav

y so

cks

to t

he

nu

mbe

rof

wh

ite

sock

s. U

se t

he

wor

d le

ssin

you

r se

nte

nce

.S

amp

le a

nsw

er:

Th

ere

are

10 le

ss n

avy

sock

s th

an w

hit

e so

cks.

2.W

rite

a s

ente

nce

th

at c

ompa

res

the

nu

mbe

r of

bla

ck s

ocks

to

the

nu

mbe

r of

wh

ite

sock

s. U

se t

he

wor

d h

alf

in y

our

sen

ten

ce.

Sam

ple

an

swer

:T

her

e ar

e h

alf

as m

any

bla

ck s

ock

s th

an t

her

e ar

e w

hit

eso

cks.

3.W

rite

a s

ente

nce

com

pari

ng

the

nu

mbe

r of

wh

ite

sock

s to

th

e to

tal

nu

mbe

r of

soc

ks. U

se a

fra

ctio

n i

n y

our

sen

ten

ce.

Sam

ple

an

swer

:O

f th

e so

cks

in t

he

dra

wer

, �3 5�

are

wh

ite

sock

s.

Rea

din

g t

he

Less

on

4.A

rati

o co

mpa

res

amou

nts

of

two

diff

eren

t th

ings

by

divi

sion

. Tel

l w

hat

diff

eren

t th

ings

are

com

pare

d in

th

e ex

ampl

es i

n y

our

text

book

.

Exa

mpl

e 1

nu

mb

er o

f fo

otb

alls

to

th

e n

um

ber

of

ten

nis

bal

ls

Exa

mpl

e 2

nu

mb

er o

f p

retz

els

to t

he

tota

l nu

mb

er o

f sn

acks

5.W

rite

th

e ra

tio

of 2

pen

s ou

t of

a t

otal

of

3 pe

ns

4 di

ffer

ent

way

s.

6.W

hat

is

the

den

omin

ator

in

a u

nit

rat

e?1

Hel

pin

g Y

ou

Rem

emb

er7.

Go

to y

our

loca

l gr

ocer

y st

ore

and

mak

e a

list

of

un

it r

ates

th

at a

re u

sed

topr

ice

item

s in

th

e st

ore.

Als

o, c

ompa

re p

rice

s fo

r di

ffer

ent

bran

ds o

f a

cert

ain

pro

duct

. How

can

you

fin

d ou

t w

hic

h b

ran

d pr

ovid

es t

he

best

val

ue?

Doe

s th

e st

ore

hel

p yo

u t

o m

ake

the

com

pari

son

? If

so,

how

?S

ee s

tud

ents

’wo

rk.

2:3

2 o

ut

of

32

to 3

�2 3�Read

ing

to L

earn

Mat

hem

atic

sR

atio

s

©G

lenc

oe/M

cGra

w-H

ill49

3M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

Rat

ios

1.FO

OTB

ALL

In t

he

NF

L20

01–2

002

seas

on, t

he

Mia

mi

Dol

phin

s w

on

11 g

ames

an

d th

e O

akla

nd

Rai

ders

won

10 g

ames

. Wh

at i

s th

e ra

tio

of w

ins

for

the

Dol

phin

s to

win

s fo

r th

e R

aide

rs?

�1 11 0�

2.G

AR

DEN

ING

Rod

has

10

rose

bush

es, 2

of w

hic

h p

rodu

ce y

ello

w r

oses

. Wri

teth

e ra

tio

2 ye

llow

ros

ebu

shes

ou

t of

10

ros

ebu

shes

in s

impl

est

form

.

�1 5�

3.TE

NN

ISN

ancy

an

d L

isa

play

ed 2

0 se

tsof

ten

nis

. Nan

cy w

on 1

2 of

th

em. W

rite

the

rati

o of

Nan

cy’s

win

s to

th

e to

tal

nu

mbe

r of

set

s in

sim

ples

t fo

rm.

�3 5�

4.A

GES

Osc

ar i

s 16

yea

rs o

ld a

nd

his

sist

er J

uli

a is

12

year

s ol

d. W

hat

wil

lbe

th

e ra

tio

of O

scar

’s a

ge t

o Ju

lia’

s ag

ein

2 y

ears

? W

rite

as

a fr

acti

on i

nsi

mpl

est

form

.

�9 7�

5.M

OV

IES

Fou

r fr

ien

ds p

aid

a to

tal

of $

32fo

r m

ovie

tic

kets

. Wh

at i

s th

e ra

tio

$32

for

4 pe

ople

wri

tten

as

a u

nit

rat

e?$8

per

per

son

6.W

OR

KIN

GA

t a

war

ehou

se, t

he

empl

oyee

s ca

n u

nlo

ad 1

8 tr

uck

s in

6

hou

rs. W

hat

is

the

un

it r

ate

for

un

load

ing

tru

cks?

3 tr

uck

s p

erh

ou

r

7.A

NIM

ALS

Are

inde

er c

an r

un

96

mil

esin

3 h

ours

. At

this

rat

e, h

ow f

ar c

an a

rein

deer

ru

n i

n 1

hou

r? E

xpla

in.

32 m

i; S

amp

le a

nsw

er:

If it

tak

esa

rein

dee

r 3

ho

urs

to

ru

n 9

6 m

i,it

mu

st t

ake

3�

3�

1 h

to

ru

n

96�

3�

32 m

i.

8.SH

OPP

ING

Jen

ny

wan

ts t

o bu

y ce

real

that

com

es i

n l

arge

an

d sm

all

boxe

s.T

he

32-o

un

ce b

ox c

osts

$4.

16, a

nd

the

14-o

un

ce b

ox c

osts

$2.

38. W

hic

h b

ox i

sle

ss e

xpen

sive

per

ou

nce

? E

xpla

in.

Th

e la

rger

bo

x is

less

exp

ensi

ve. I

t co

sts

$0.1

3 p

er o

z,an

d t

he

smal

ler

bo

x co

sts

$0.1

7p

er o

z.

Lesson 10–1



An

swer

s

©G

lenc

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w-H

ill49

6M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Sol

ve �2 5�

�� n4 �.

Sol

ve �3 4�

�� 1b 2�

.

2 �

n¬�

5 �

4C

ross

pro

duct

s3

�12

¬�4

�b

Cro

ss p

rodu

cts

2n¬�

20M

ultip

ly.

36¬�

4bM

ultip

ly.

�2 2n �¬�

�2 20 �D

ivid

e ea

ch s

ide

by 2

.�3 46 �

¬��4 4b �

Div

ide

each

sid

e by

4.

n¬�

109¬

�b

Th

e so

luti

on i

s 10

.T

he

solu

tion

is

9.

Det

erm

ine

wh

eth

er e

ach

pai

r of

rat

ios

form

a p

rop

orti

on. E

xpla

inyo

ur

reas

onin

g.

1.�3 5�,

� 16 0�2.

�2 9�, � 14 6�

Yes

; th

e cr

oss

pro

du

cts

are

No

; th

e cr

oss

pro

du

cts

are

no

teq

ual

.eq

ual

.

Sol

ve e

ach

pro

por

tion

.

3.�2 3�

�� n8 �

124.

�3 4��

�1 x2 �16

5.�2 4�

�� 8y �

4

6.�3 5�

�� 1b 5�

97.

�1 9.2 ��

� 1c .5�0.

28.

� 1d 6��

�3 8�6

9.� 2x .6�

��1 1. .5 3�

310

.�2 y�

��6 9�

311

.�0 2. .1 6�

��0 z.5 �

13

A p

rop

ort

ion

is a

n eq

uatio

n st

atin

g th

at t

wo

ratio

s ar

e eq

uiva

lent

.For

exa

mpl

e, t

he r

atio

s �1 2�

and

�3 6�ar

e

equi

vale

nt,

so t

he e

quat

ion

�1 2��

�3 6�is

a p

ropo

rtio

n.In

ord

er fo

r tw

o ra

tios

to fo

rm a

pro

port

ion,

the

ir

cros

s pr

oduc

ts m

ust

be e

qual

.

Whe

n on

e va

lue

in a

pro

port

ion

is u

nkno

wn,

you

can

use

cro

ss p

rodu

cts

to s

olve

the

pro

port

ion.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

So

lvin

g P

rop

ort

ion

s 1 2�

1 �

6 is

one

cros

s pr

oduc

t

1 �

6 �

2 �

36

� 6

The

cros

s pr

oduc

ts a

re e

qual2

� 3

is th

e ot

her

cros

s pr

oduc

t3 6

©G

lenc

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cGra

w-H

ill49

5M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Rat

ios

and

Rec

tan

gle

s1.

Use

a c

enti

met

er r

ule

r to

mea

sure

th

e w

idth

an

d th

ele

ngt

h o

f ea

ch r

ecta

ngl

e.T

hen

exp

ress

th

e ra

tio

of t

he

wid

th t

o th

e le

ngt

h a

s a

frac

tion

in

sim

ples

t fo

rm.

2.S

imil

ar f

igu

res

hav

e th

e sa

me

shap

e,bu

t n

ot n

eces

sari

ly t

he

sam

e si

ze.

Tw

o re

ctan

gles

are

sim

ilar

if

the

rati

o of

th

e w

idth

to

the

len

gth

is

the

sam

e fo

r ea

ch.W

hic

h r

ecta

ngl

es i

n E

xerc

ise

1 ar

e si

mil

ar?

C a

nd

D

3.F

or c

entu

ries

art

ists

an

d ar

chit

ects

hav

e u

sed

a sh

ape

call

ed t

he

gold

enre

ctan

gle

beca

use

peo

ple

seem

to

fin

d it

mos

t pl

easa

nt

to l

ook

at.I

n a

gold

en r

ecta

ngl

e,th

e ra

tio

of t

he

wid

th t

o th

e le

ngt

h i

s a

litt

le l

ess

than

�5 8�.W

hic

h r

ecta

ngl

e in

Exe

rcis

e 1

is m

ost

nea

rly

a go

lden

rec

tan

gle?

B

E

D

C

BA

C:

wid

th �

4 cm

len

gth

�6

cmra

tio

��2 3�

Enric

hmen

tN

AM

E__

____

____

____

____

____

____

____

____

____

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ATE

___

____

____

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RIO

D

____

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Enric

hmen

t

A:

wid

th �

2 cm

len

gth

�4

cmra

tio

��1 2�

B:

wid

th �

3 cm

len

gth

�5

cmra

tio

��3 5�

D:

wid

th �

6 cm

len

gth

�9

cm

rati

o �

�2 3�

E:

wid

th �

4.8

cmle

ng

th �

4.8

cmra

tio

��1 1�

Lesson 10–1

Answers (Lessons 10-1 and 10-2)


©G

lenc

oe/M

cGra

w-H

ill49

8M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

So

lvin

g P

rop

ort

ion

s

1.SC

HO

OL

Th

e ra

tio

of b

oys

to g

irls

in

his

tory

cla

ss i

s 4

to 5

. How

man

y gi

rls

are

in t

he

clas

s if

th

ere

are

12 b

oys

inth

e cl

ass?

Exp

lain

.

15 g

irls

; S

amp

le a

nsw

er:

If t

he

rati

o is

4 b

oys

fo

r ev

ery

5 g

irls

in t

he

clas

s, t

he

equ

ival

ent

rati

om

ust

be

12 b

oys

to

an

un

kno

wn

n

um

ber

of

gir

ls, �

4 5��

�1 g2 �. S

ince

12

�3

�4,

g�

3 �

5 o

r 15

.

2.FA

CTO

RIE

SA

fact

ory

prod

uce

s 6

mot

orcy

cles

in

9 h

ours

. Wri

te a

prop

orti

on a

nd

solv

e it

to

fin

d h

owm

any

hou

rs i

t ta

kes

to p

rodu

ce

16 m

otor

cycl

es.

�6 9��

�1 x6 �;

24 h

3.R

EAD

ING

Jam

es r

ead

4 pa

ges

in a

boo

kin

6 m

inu

tes.

How

lon

g w

ould

you

expe

ct h

im t

o ta

ke t

o re

ad 6

pag

es?

9

min

4.C

OO

KIN

GA

reci

pe t

hat

wil

l m

ake

3 pi

es c

alls

for

7 c

ups

of

flou

r. W

rite

apr

opor

tion

an

d so

lve

it t

o fi

nd

how

man

y pi

es c

an b

e m

ade

wit

h 2

8 cu

ps

of f

lou

r.

�3 7��

� 2p 8�;

12 p

ies

5.TY

PIN

GS

ara

can

typ

e 90

wor

ds i

n4

min

ute

s. A

bou

t h

ow m

any

wor

dsw

ould

you

exp

ect

her

to

type

in

10

min

ute

s?22

5 w

ord

s

6.B

ASK

ETB

ALL

Th

e L

akew

ood

Wil

dcat

sw

on 5

of

thei

r fi

rst

7 ga

mes

th

is y

ear.

Th

ere

are

28 g

ames

in

th

e se

ason

.A

bou

t h

ow m

any

gam

es w

ould

you

expe

ct t

he

Wil

dcat

s to

win

th

is s

easo

n?

Exp

lain

you

r re

ason

ing.

20 g

ames

; S

amp

le a

nsw

er:

Ifth

ey h

ave

alre

ady

wo

n 5

ou

t o

f7

gam

es, t

hey

will

pro

bab

lyco

nti

nu

e to

win

in t

he

sam

ep

rop

ort

ion

fo

r th

e re

mai

nd

er o

f

the

seas

on

, �5 7�

�� 2x 8�

.

7.FO

OD

Two

slic

es o

f D

an’s

Fam

ous

Piz

za h

ave

230

Cal

orie

s. H

ow m

any

Cal

orie

s w

ould

you

exp

ect

to b

e in

5

slic

es o

f th

e sa

me

pizz

a?57

5 C

alo

ries

8.SH

OPP

ING

An

dy p

aid

$1.4

0 fo

r 4

grap

efru

its.

Wri

te a

pro

port

ion

an

dso

lve

it t

o fi

nd

how

man

y gr

apef

ruit

sh

e ca

n p

urc

has

e fo

r $2

.10.

�$14.4

0�

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x.10

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its

©G

lenc

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cGra

w-H

ill49

7M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Sol

ve e

ach

pro

por

tion

.

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202.

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3.�3 5�

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18

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85.

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6.�2 40 �

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2

7.� 2g �

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48.

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24

10.

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11.

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12.

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14.

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17.

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18.

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2

31.

Wh

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f �3 5�

��2 k�?

Rou

nd

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nea

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3.3

32.

Fin

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to t

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rest

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3.2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsS

olv

ing

Pro

po

rtio

ns

Lesson 10–2



An

swer

s

Ad

a

Did

you

kn

ow t

hat

a w

oman

wro

te t

he

firs

tde

scri

ptio

n o

f a

com

pute

r pr

ogra

mm

ing

lan

guag

e?S

he

was

th

e da

ugh

ter

of a

fam

ous

En

glis

h l

ord

and

was

bor

n i

n 1

815.

Sh

e h

ad a

dee

p u

nde

rsta

ndi

ng

ofm

ath

emat

ics

and

was

fas

cin

ated

by

calc

ula

tin

gm

ach

ines

. Her

in

tere

sts

led

her

to

crea

te t

he

firs

tal

gori

thm

. In

184

3, s

he

tran

slat

ed a

Fre

nch

ver

sion

of a

lec

ture

by

Ch

arle

s B

abba

ge. I

n h

er n

otes

to

the

tran

slat

ion

, sh

e ou

tlin

ed t

he

fun

dam

enta

l co

nce

pts

ofco

mpu

ter

prog

ram

min

g. S

he

died

in

185

2. I

n 1

979,

the

U.S

. Dep

artm

ent

of D

efen

se n

amed

th

e co

mpu

ter

lan

guag

e A

da

afte

r h

er.

To f

ind

out

this

wom

an’s

fu

ll n

ame,

sol

ve t

he

prop

orti

on f

or e

ach

let

ter.

1.� A7 �

��2 48 0�

2.�5 4�

�� 3B 6�

3.�1 3�

�� 1C 5�

4.� D5 �

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6.� 12 8�

�� 2L 7�

7.� N6 �

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9.�2 8�

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10.

� V5 ��

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Now

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elow

. Wri

te t

he

corr

esp

ond

ing

lett

er o

nth

e li

ne

abov

e th

e so

luti

on. I

f yo

u h

ave

calc

ula

ted

cor

rect

ly, t

he

lett

ers

wil

l sp

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her

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____

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ER

IOD

__

___

Enric

hmen

t

©G

lenc

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cGra

w-H

ill50

0M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill49

9M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Pre-

Act

ivit

yC

om

ple

te t

he

Min

i Lab

at

the

top

of

pag

e 38

6 in

yo

ur

text

bo

ok.

Wri

te y

ou

r an

swer

s b

elo

w.

1.C

ompl

ete

each

rat

io s

o th

at t

he

rati

os c

ompa

rin

g th

e ar

eas

are

equ

ival

ent.

a.b

.

2.H

ow d

id y

ou f

ind

wh

ich

fig

ure

mad

e th

e ra

tios

equ

ival

ent?

Sam

ple

answ

er:

Th

e re

d b

lock

is p

art

of

the

yello

w s

o I

aske

d m

ysel

fw

hat

was

par

t o

f th

e b

lue

and

3 t

rian

gle

s m

ake

up

hal

f o

f th

eye

llow

hex

ago

n s

o w

hat

wo

uld

2 t

rian

gle

s m

ake.

3.S

upp

ose

a gr

een

blo

ck e

qual

s 2,

a b

lue

bloc

k eq

ual

s 4,

a y

ello

w b

lock

eq

ual

s 6,

an

d a

red

bloc

k eq

ual

s 3.

Wri

te a

pai

r of

equ

ival

ent

rati

os.

�6 4��

�3 2�an

d �4 6�

��2 3�

4.W

hat

rel

atio

nsh

ip e

xist

s in

th

ese

equ

ival

ent

rati

os?

Sam

ple

an

swer

:T

he

nu

mb

ers

in t

he

firs

t ra

tio

can

be

div

ided

by

the

sam

en

um

ber

to

get

th

e se

con

d r

atio

.

Rea

din

g t

he

Less

on

5.L

ook

at t

he

arit

hm

etic

exa

mpl

e in

th

e K

ey C

once

pt b

ox o

n p

age

386.

Wh

at i

s th

e si

gnif

ican

ce o

f th

e tw

o in

stan

ces

of �

3?S

amp

le a

nsw

er:

Th

e n

um

erat

or

and

den

om

inat

or

in t

he

firs

t ra

tio

are

mu

ltip

lied

by

the

sam

e n

um

ber

to

get

th

e eq

uiv

alen

t ra

tio

.6.

If t

wo

rati

os a

re e

quiv

alen

t, a

nd

ther

efor

e fo

rm a

pro

port

ion

, wh

at d

o yo

ukn

ow a

bou

t th

e cr

oss

prod

uct

s?T

hey

are

eq

ual

.

7.L

ook

at t

he

fin

al s

ente

nce

in

Exa

mpl

e 3

on p

age

387—

‘‘So,

375

stu

den

ts

can

be

expe

cted

to

pref

er g

el t

ooth

past

e.’’

Wh

y is

it

impo

rtan

t to

use

can

be

exp

ecte

din

th

is a

nsw

er?

Sam

ple

an

swer

: B

ecau

se t

his

is a

pre

dic

tio

n;

ther

e is

no

way

of

kno

win

g f

or

sure

th

e p

refe

ren

ceo

f al

l 500

stu

den

ts u

nle

ss e

ach

on

e is

qu

esti

on

ed in

div

idu

ally

.

Hel

pin

g Y

ou

Rem

emb

er8.

Wor

k w

ith

a p

artn

er. S

tudy

Exa

mpl

e 1

on p

age

387.

Wri

te a

pro

port

ion

that

nee

ds t

o be

sol

ved

for

an u

nkn

own

val

ue.

Exc

han

ge p

ropo

rtio

ns

and

solv

e fo

r th

e u

nkn

own

val

ue.

Exp

lain

how

you

arr

ived

at

you

r so

luti

on.

See

stu

den

ts’w

ork

.

�?

�?

Read

ing

to L

earn

Mat

hem

atic

sS

olv

ing

Pro

po

rtio

ns

Lesson 10–2



©G

lenc

oe/M

cGra

w-H

ill50

2M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsS

cale

Dra

win

gs

and

Mo

del

sD

RA

FTIN

GO

n a

set

of

dra

win

gs, t

he

scal

e is

2 i

nch

es5

3 fe

et. F

ind

th

eac

tual

mea

sure

men

ts.

LIZA

RD

SM

odel

s of

liz

ard

s w

ere

mad

e u

sin

g th

e gi

ven

sca

les.

Fin

d t

he

actu

al m

easu

rem

ents

.

Sca

le: 1

in

ch�

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ch

Sca

le: 2

in

ches

�3

inch

es

Sca

le: 4

in

ches

�5

inch

es

MA

PSA

map

has

a s

cale

of

3 in

ches

�7

mil

es. F

ind

th

e ac

tual

dis

tan

ceb

etw

een

th

e ci

ties

wit

h t

he

map

dis

tan

ces

give

n.

13.

8.4

inch

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een

Fal

l C

ity

and

Su

mm

it19

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i

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2 in

ches

bet

wee

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i

Ob

ject

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in

ches

6 ft

wal

l10

in

ches

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tro

ad18

in

ches

27 f

tdo

or15

in

ches

7.5

ftco

mpu

ter

1 in

ch.

1.5

ftla

mp

10.5

in

ch0.

75 f

t

1. 2. 3. 4. 5. 6.

Gro

un

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6 in

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4.5

in.

tail

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ches

2.5

in.

Des

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Mod

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ize

body

len

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9 in

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in.

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nch

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in.

11.

12.9. 10.

Wh

ipta

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izar

dM

odel

Act

ual

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tail

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7. 8.

©G

lenc

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cGra

w-H

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athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

RA

CE

CA

RS

Am

odel

of

a ra

ce c

ar h

as a

wid

th o

f 3.

5 in

ches

. Th

e sc

ale

is 1

in

ch�

2 fe

et. F

ind

th

e ac

tual

wid

th o

f th

e ra

ce c

ar.

Let

wre

pres

ent

the

actu

al w

idth

.

Sca

leR

ace

Car

�1 2�¬�

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1 �

w¬�

2 �

3.5

Fin

d th

e cr

oss

prod

ucts

.w

¬�7

Mul

tiply

.

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e ac

tual

wid

th o

f th

e ra

ce c

ar i

s 7

feet

.

HIK

ING

On

a m

ap, t

he

dis

tan

ce b

etw

een

Rou

nd

Lak

e an

d J

un

e L

ake

is 6

in

ches

. Th

e sc

ale

on t

he

map

is

3 in

ches

�5

mil

es. F

ind

th

eac

tual

dis

tan

ce b

etw

een

th

e tw

o la

kes

.

Let

dre

pres

ent

the

actu

al d

ista

nce

.

Map

Sca

leA

ctu

al D

ista

nce

�3 5�¬ � � d6 �

3 �

d¬�

5 �

6F

ind

the

cros

s pr

oduc

ts.

3d¬�

30M

ultip

ly.

�3 3d �¬�

�3 30 �D

ivid

e.

d¬�

10

Th

e di

stan

ce b

etw

een

th

e tw

o la

kes

is 1

0 m

iles

.

DR

AFT

ING

For

Exe

rcis

es 1

–4, u

se t

he

foll

owin

g in

form

atio

n.

On

a s

et o

f dr

awin

gs, t

he

scal

e is

2 i

nch

�4

feet

. Fin

d th

e ac

tual

mea

sure

men

ts.

5.M

APS

Am

ap h

as a

sca

le o

f 2

inch

es�

7 m

iles

. Th

e di

stan

ce b

etw

een

Pir

ate’

s C

ove

and

Mid

nig

ht

Lag

oon

on

th

em

ap i

s 12

in

ches

. Wh

at i

s th

e ac

tual

dist

ance

bet

wee

n t

he

two

plac

es?

42 m

i

map

dis

tanc

eac

tual

dis

tanc

em

ap d

ista

nce

➝ac

tual

dis

tanc

e➝

mod

el w

idth

actu

al w

idth

mod

elw

idth

➝ac

tual

wid

th➝

Sca

le d

raw

ing

san

d sc

ale

mo

del

sar

e us

ed t

o re

pres

ent

obje

cts

that

are

too

larg

e or

too

sm

all

to b

e dr

awn

or b

uilt

at a

ctua

l siz

e.T

he s

cale

give

s th

e ra

tio t

hat

com

pare

s th

e m

easu

rem

ents

on

the

draw

ing

or m

odel

to

the

mea

sure

men

ts o

f th

e re

al o

bjec

t.T

he m

easu

rem

ents

on

a dr

awin

g or

mod

elar

e pr

opor

tiona

l to

the

mea

sure

men

ts o

f th

e ac

tual

obj

ect.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Sca

le D

raw

ing

s an

d M

od

els

Ob

ject

Dra

win

gA

ctu

al S

ize

door

4 in

ches

8 ft

wal

l6

inch

es12

ft

tree

12 i

nch

es24

ft

com

pute

r1

inch

2 ft

1. 2. 3. 4.

➝ ➝

➝➝

Lesson 10–3



An

swer

s

Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

391

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.E

xpla

in h

ow y

ou w

ould

use

a r

ule

r to

fin

d th

e n

um

ber

of m

iles

bet

wee

n

any

two

citi

es o

n t

he

map

.S

amp

le a

nsw

er:

Use

a r

ule

r to

mea

sure

th

ed

ista

nce

bet

wee

n a

ny

two

cit

ies

and

th

en m

ult

iply

th

at m

easu

re b

y 14

.

2.U

se t

he

met

hod

you

des

crib

ed i

n E

xerc

ise

1 to

fin

d th

e ac

tual

dis

tan

cebe

twee

n H

alet

own

an

d Ja

sper

.ab

ou

t 7

mile

s

3.W

hat

is

the

actu

al d

ista

nce

bet

wee

n K

imba

ll a

nd

Sig

nal

Mou

nta

in?

abo

ut

21 m

i

Rea

din

g t

he

Less

on

4.L

ook

up

the

wor

d sc

ale

in a

dic

tion

ary.

Wri

te t

he

mea

nin

g th

at m

atch

es

the

way

th

e w

ord

is u

sed

in t

his

les

son

.S

amp

le a

nsw

er:

the

pro

po

rtio

n t

hat

am

ap, m

od

el, e

tc. b

ears

to

th

e th

ing

th

at it

rep

rese

nts

; ra

tio

bet

wee

n t

he

dim

ensi

on

s o

f a

rep

rese

nta

tio

n a

nd

th

at o

f th

e o

bje

ct

5.L

ook

at E

xam

ple

1 at

th

e bo

ttom

of

page

391

. Th

en t

ell

wh

at i

sh

appe

nin

g at

eac

h s

tep

of t

he

proc

ess

belo

w.

�1 8��

�2 h3 �W

rite

th

e p

rop

ort

ion

.

1 �

h�

8 �

23F

ind

th

e cr

oss

pro

du

cts.

h�

184

Mu

ltip

ly.

6.L

ook

at E

xam

ple

2 at

th

e to

p of

pag

e 39

2. W

hat

do

you

nee

d to

kn

ow i

nor

der

to s

olve

for

d, t

he

actu

al d

ista

nce

?Yo

u n

eed

to

kn

ow

th

esc

ale

and

th

e d

ista

nce

on

th

e m

ap.

7.B

rin

g a

map

or

set

of m

aps

to s

choo

l (f

or e

xam

ple,

map

s of

th

e w

orld

as

fou

nd

in a

n a

lman

ac).

Usi

ng

the

scal

e on

th

e m

ap, p

ract

ice

mea

suri

ng

dist

ance

s be

twee

n o

bjec

ts o

n t

he

map

.S

ee s

tud

ents

’wo

rk.

Hel

pin

g Y

ou

Rem

emb

er8.

Mak

e a

scal

e dr

awin

g of

som

e ob

ject

wit

h w

hic

h y

ou a

re f

amil

iar.

Tak

eth

e ac

tual

mea

sure

men

ts o

f th

e ob

ject

. Dec

ide

on a

sca

le. C

reat

e th

edr

awin

g. B

e su

re t

o pu

t th

e sc

ale

som

ewh

ere

on y

our

draw

ing

so a

rea

der

wil

l be

abl

e to

tel

l th

e si

ze o

f th

e ac

tual

obj

ect.

See

stu

den

ts’w

ork

.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

earn

Mat

hem

atic

sS

cale

Dra

win

gs

and

Mo

del

s

©G

lenc

oe/M

cGra

w-H

ill50

4M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill50

3M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

1.M

APS

On

a m

ap w

ith

a s

cale

of

1 in

ch�

9 m

iles

, th

e di

stan

ce b

etw

een

two

tow

ns

is 3

in

ches

. W

hat

is

the

actu

al d

ista

nce

bet

wee

n t

he

two

tow

ns?

27 m

i

2.B

LUEP

RIN

TSO

n a

n a

rch

itec

t’s b

luep

rin

t,th

e fr

ont

of a

bu

ildi

ng

mea

sure

s 27

in

ches

. Th

e sc

ale

of t

he

blu

epri

nt

is1

inch

�2

feet

. How

wid

e w

ill

the

fron

tof

th

e ac

tual

bu

ildi

ng

be?

54 f

t

3.M

OD

ELS

Th

e m

odel

of

an a

irpl

ane

has

a w

ings

pan

of

20 i

nch

es. T

he

mod

el h

asa

scal

e of

1 i

nch

�4

feet

. Wh

at i

s th

ew

ings

pan

of

the

actu

al a

irpl

ane?

80 f

t

4.A

RC

HIT

ECTU

RE

Th

e dr

awin

g fo

r a

buil

din

g h

as a

sca

le o

f 1

inch

�3

feet

.T

he

buil

din

g in

th

e dr

awin

g h

as a

hei

ght

of 1

4 in

ches

. How

tal

l w

ill

the

actu

al b

uil

din

g be

?42

ft

5.R

OC

KET

SA

mod

el o

f th

e S

atu

rn V

rock

et h

as a

sca

le o

f 1

inch

�12

fee

t.

If t

he

mod

el r

ocke

t is

30

inch

es t

all,

how

tal

l w

as t

he

actu

al S

atu

rn V

rock

et?

360

ft

6.C

AR

SR

on t

ook

a ph

otog

raph

of

his

car

and

then

mea

sure

d th

e le

ngt

h o

f th

eca

r in

th

e ph

otog

raph

. Th

e le

ngt

h w

as

4 �1 2�

inch

es. I

f th

e sc

ale

of t

he

phot

ogra

ph i

s 1

inch

�4

feet

, how

lon

gis

Ron

’s a

ctu

al c

ar?

18 f

t

7.M

OD

ELS

Am

odel

of

a 4-

cyli

nde

r ga

soli

ne

engi

ne

is b

uil

t on

a s

cale

of

1 in

ch �

6 in

ches

. If

the

len

gth

of

the

mod

el e

ngi

ne

is 9

in

ches

, how

lon

gis

th

e ac

tual

en

gin

e?54

in.

8.PH

OTO

GR

APH

YA

phot

o la

b te

chn

icia

nis

goi

ng

to r

edu

ce a

ph

otog

raph

th

at

is 9

in

ches

wid

e u

sin

g a

scal

e of

1 in

ch �

�2 3�in

ch. H

ow w

ide

wil

l th

e

redu

ced

phot

o be

?6

in.

Prac

tice:

Wor

d Pr

oble

ms

Sca

le D

raw

ing

s an

d M

od

els

Lesson 10–3



©G

lenc

oe/M

cGra

w-H

ill50

6M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Mod

el 1

0%.

Mod

el 7

8%.

10%

mea

ns

10 o

ut

of 1

00.

78%

mea

ns

78 o

ut

of 1

00.

So,

sh

ade

10 o

f th

e 10

0 sq

uar

es.

So,

sh

ade

78 o

f th

e 10

0 sq

uar

es.

Iden

tify

eac

h p

erce

nt

that

is

mod

eled

.

Th

ere

are

30 o

ut

of 1

00 s

quar

es

Th

ere

are

43 o

ut

of 1

00 s

quar

es s

had

ed.

shad

ed. S

o, t

he

mod

el s

how

s 30

%.

So,

th

e m

odel

sh

ows

43%

.

Mod

el e

ach

per

cen

t.

1.20

%2.

55%

3.12

%

Iden

tify

eac

h p

erce

nt

that

is

mod

eled

.

4.60

%5.

45%

6.70

%

You

can

use

wha

t yo

u kn

ow a

bout

dec

imal

mod

els

and

perc

ents

to

iden

tify

the

perc

ent

of a

mod

el t

hat

is s

hade

d.

Rat

ios

like

41 o

ut o

f 10

0, 2

5 ou

t of

100

, or

2 o

ut o

f 10

0 ca

n be

writ

ten

as p

erce

nts.

A p

erce

nt

(%)

is a

ratio

tha

t co

mpa

res

a nu

mbe

r to

100

.Sin

ce t

he w

ord

perc

ent

mea

ns o

ut o

f on

e hu

ndre

d, y

ou c

an u

sea

10 �

10 g

rid t

o m

odel

per

cent

s.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Mo

del

ing

Per

cen

ts

©G

lenc

oe/M

cGra

w-H

ill50

5M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Plan

nin

g a

Ro

om

Bef

ore

mov

ing

furn

itu

re i

nto

a r

oom

, man

y pe

ople

pla

n a

n a

rran

gem

ent

bym

akin

g a

scal

e dr

awin

g. T

his

mak

es i

t po

ssib

le t

o fi

nd

the

best

arr

ange

men

tfo

r th

e ro

om w

ith

out

actu

ally

mov

ing

hea

vy f

urn

itu

re.

For

eac

h p

iece

of

furn

itu

re, a

ctu

al m

easu

rem

ents

are

giv

en. C

omp

ute

scal

e m

easu

rem

ents

usi

ng

the

scal

e �1 2�

inch

�1

foot

.

1.be

d: 6

�1 2�fe

et l

ong,

3 f

eet

wid

e3 �

1 4�in

. lo

ng

, 1�1 2�

in. w

ide

2.be

dsid

e ta

ble:

1�1 2�

feet

lon

g, 1

�1 2�fe

et w

ide

�3 4�in

. lo

ng

, �3 4�

in. w

ide

3.bo

okca

se: 3

�1 2�fe

et l

ong,

1 f

oot

wid

e1 �

3 4�in

. lo

ng

, �1 2�

in. w

ide

4.de

sk: 4

2 in

ches

lon

g, 1

8 in

ches

wid

e1 �

3 4�in

. lo

ng

, �3 4�

in. w

ide

5.ch

est

of d

raw

ers:

39

inch

es l

ong,

18

inch

es w

ide

1 �5 8�

in. l

on

g, �

3 4�in

. wid

e

6.U

se y

our

answ

ers

from

Exe

rcis

es 1

–5. S

how

how

th

e fu

rnit

ure

mig

ht

bear

ran

ged

in t

he

bedr

oom

sh

own

bel

ow.

Arr

ang

emen

ts m

ay v

ary.

des

k

WIN

DO

Wb

edsi

de

tab

le

bed

ches

t o

f d

raw

ers

bo

okc

ase

DO

OR

Scal

e: in

ch =

1 f

oo

t1 2

Enric

hmen

tN

AM

E__

____

____

____

____

____

____

____

____

____

__D

ATE

___

____

____

___

PE

RIO

D

____

_

Lesson 10–3



An

swer

s

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

Mo

del

ing

Per

cen

ts

©G

lenc

oe/M

cGra

w-H

ill50

8M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

1.FO

OTB

ALL

In t

he

2001

–200

2 se

ason

, th

e D

alla

s C

owbo

ys f

ootb

all

team

w

on 4

5% o

f th

eir

gam

es. M

ake

a m

odel

to

show

45%

.

2.LA

ND

SCA

PIN

GJa

cob

is m

akin

g a

10 f

oot

by 1

0 fo

ot p

atio

in

his

bac

kyar

d u

sin

gpa

vin

g st

ones

th

at a

re 1

foo

t sq

uar

e.T

he

shad

ed a

rea

of t

he

mod

el i

ndi

cate

sth

e fi

nis

hed

par

t of

th

e pa

tio.

Wh

atpe

rcen

t of

th

e pa

tio

has

Jac

ob f

inis

hed

?

55%

3.A

RT

Lyd

ia i

s m

akin

g a

coll

age

usi

ng

100

phot

ogra

phs

arra

nge

d in

a s

quar

epa

tter

n. T

he

shad

ed a

rea

in t

he

mod

elin

dica

tes

the

part

of

the

coll

age

alre

ady

cove

red

by p

hot

os. W

hat

per

cen

t of

th

eco

llag

e is

fin

ish

ed?

33%

4.EN

ERG

YIn

th

e ye

ar 2

000,

nu

clea

ren

ergy

acc

oun

ted

for

8% o

f th

e en

ergy

use

d in

th

e U

.S. M

ake

a m

odel

to

show

8%

.

5.G

AM

EST

he

figu

re s

how

s th

e st

arti

ng

posi

tion

for

a g

ame

play

ed o

n a

10

by10

boa

rd. T

he

shad

ed s

quar

es c

onta

inga

me

piec

es. W

hat

per

cen

t of

th

esq

uar

es o

n t

he

boar

d co

nta

in g

ame

piec

es?

20%

6.M

USI

CIn

th

e sc

hoo

l ch

oru

s, 5

2% o

f th

egi

rls

sin

g so

pran

o an

d 44

% s

ing

alto

.W

hic

h o

f th

ese

two

sect

ion

s of

th

ech

oru

s h

as m

ore

girl

s? E

xpla

in u

sin

gm

odel

s.

Sam

ple

an

swer

: T

her

e ar

e m

ore

sop

ran

os.

As

the

mo

del

s sh

ow

,52

% is

gre

ater

th

an 4

4%.

©G

lenc

oe/M

cGra

w-H

ill50

7M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Mod

el e

ach

per

cen

t.1–

6.S

amp

le a

nsw

ers

giv

en.

1.15

%2.

50%

3.75

%

4.80

%5.

21%

6.48

%

Iden

tify

eac

h p

erce

nt

that

is

mod

eled

.

7.20

%8.

60%

9.90

%

10.

55%

11.

40%

12.

15%

13.

25%

14.

50%

15.

35%

Prac

tice:

Ski

llsM

od

elin

g P

erce

nts

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Lesson 10–4



©G

lenc

oe/M

cGra

w-H

ill51

0M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

We

the

Peo

ple

Wh

o ar

e th

e pe

ople

of

the

Un

ited

Sta

tes?

Th

egr

aph

s at

th

e ri

ght

show

just

a s

mal

l pa

rt o

fth

e da

ta g

ath

ered

in

th

e 20

00 C

ensu

s of

th

eP

opu

lati

on.U

sin

g th

e da

ta s

how

n o

n t

hes

egr

aph

s,de

cide

wh

eth

er e

ach

sta

tem

ent

is t

rue

or f

alse

.

1.A

bou

t 12

% o

f al

l th

e pe

ople

cou

nte

d in

the

cen

sus

resp

onde

d th

at t

hey

are

bla

ck.

tru

e

2.A

bou

t 5%

of

all

the

peop

le c

oun

ted

in t

he

ce

nsu

s id

enti

fied

th

eir

nat

ion

al o

rigi

n a

s C

uba

n.

fals

e

3.A

bou

t 58

% o

f th

e H

ispa

nic

Am

eric

ans

cou

nte

d in

th

e ce

nsu

s id

enti

fied

th

eir

nat

ion

al o

rigi

n a

s M

exic

an.

tru

e

4.T

he

nu

mbe

r of

peo

ple

wh

o id

enti

fied

th

emse

lves

as

wh

ite

is a

bou

t 12

0 m

illi

on.

fals

e

5.H

ow w

ell

can

you

pic

ture

dat

a? I

n t

he

spac

e at

th

e ri

ght,

sket

ch a

cir

cle

grap

h

to s

how

th

e da

ta b

elow

.

Am

eric

ans

Reg

ion

of

Res

iden

ce, 2

000

Wes

t23

%

Sou

th35

%

Nor

thea

st19

%

Mid

wes

t23

%

,

His

pan

ic o

r La

tino

Am

eric

ans:

Nat

iona

l Ori

gin

, 200

0

Tota

l Pop

ulat

ion:

35,

305,

818

Mex

ico

58%

Oth

er28

%

Pue

rto

Ric

o10

%C

uba

4%

Po

pu

lati

on

of

the

Un

ited

Sta

tes,

200

0

Whi

te75

%

Tota

l Pop

ulat

ion:

281

,421

,906

Bla

ck12

%

Oth

er R

aces

8%

Asi

an a

ndP

acifi

c Is

land

er4%

Am

eric

an In

dian

,E

skim

o, a

nd A

leut

1%

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Enric

hmen

t

Am

eric

ans’

Reg

ion

of

Res

iden

ce,2

000

Nor

thea

stM

idw

est

Sou

thW

est

19%

23%

35%

23%

©G

lenc

oe/M

cGra

w-H

ill50

9M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

395

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.W

hat

rat

io c

ompa

res

the

nu

mbe

r of

stu

den

ts w

ho

pref

er g

rape

fla

vore

d lo

llip

ops

to t

he

tota

l n

um

ber

of s

tude

nts

?

� 14 05 0�

2.W

hat

dec

imal

rep

rese

nts

th

is r

atio

?0.

45

3.U

se a

dec

imal

mod

el t

o re

pres

ent

this

rat

io.

Sam

ple

an

swer

:

Rea

din

g t

he

Less

on

4.E

xpla

in w

hy

a 10

�10

gri

d is

a g

ood

way

to

mod

el p

erce

nts

.S

amp

lean

swer

: B

ecau

se a

10

�10

gri

d c

on

tain

s 10

0 sq

uar

es a

nd

bec

ause

per

cen

t m

ean

s “o

ut

of

100,

”th

e n

um

ber

of

squ

ares

shad

ed in

on

a 1

0 �

10 g

rid

ind

icat

es a

cer

tain

per

cen

t.

5.C

ompl

ete

the

tabl

e.

6.L

ook

at t

he

mod

el i

n E

xam

ple

3 on

pag

e 39

6. W

hat

is

anot

her

way

to

mod

el 2

5%?

Sam

ple

an

swer

: S

had

e 2

and

a h

alf

row

s o

f 10

.

Hel

pin

g Y

ou

Rem

emb

er7.

Loo

k at

th

e n

utr

itio

n f

acts

on

an

y fo

od l

abel

. Wh

ich

ite

m c

onta

ins

the

hig

hes

t pe

rcen

t of

dai

ly v

alu

e pe

r se

rvin

g? M

ake

a m

odel

to

repr

esen

tth

at a

mou

nt.

Lab

el t

he

mod

el t

o in

dica

te w

hat

th

e m

odel

sh

ows.

See

stu

den

ts’w

ork

.

Read

ing

to L

earn

Mat

hem

atic

sM

od

elin

g P

erce

nts

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

75%

75 o

ut

of

100

37%

37 o

ut

of 1

00

Lesson 10–4



An

swer

s

Wri

te e

ach

per

cen

t as

a f

ract

ion

in

sim

ple

st f

orm

.

1.40

%�2 5�

2.30

%� 13 0�

3.55

%�1 21 0�

4.75

%�3 4�

5.14

0%1 �

2 5�6.

175%

1 �3 4�

7.24

%� 26 5�

8.68

%�1 27 5�

9.44

%�1 21 5�

10.

92%

�2 23 5�11

.11

0%1 �

11 0�12

.15

5%1 �

1 21 0�

13.

18%

� 59 0�14

.74

%�3 57 0�

15.

43%

� 14 03 0�

Wri

te e

ach

fra

ctio

n a

s a

per

cen

t.

16.

�4 5�80

%17

.� 23 0�

15%

18.

� 17 0�70

%

19.

�3 5�60

%20

.�3 2�

150%

21.

�5 4�12

5%

22.

�6 5�12

0%23

.� 29 0�

45%

24.

�1 23 0�65

%

25.

�1 27 0�85

%26

.�9 5�

180%

27.

�1 11 0�11

0%

28.

�1 29 0�95

%29

.�1 13 0�

130%

30.

� 12 01 0�21

%

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsP

erce

nts

an

d F

ract

ion

s

©G

lenc

oe/M

cGra

w-H

ill51

2M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill51

1M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Wri

te 1

5% a

s a

frac

tion

in

sim

ple

st f

orm

.

15%

mea

ns

15 o

ut

of 1

00.

15%

¬�� 11 05 0�

Writ

e th

e pe

rcen

t as

a f

ract

ion

with

a d

enom

inat

or o

f 10

0.

¬�or

� 23 0�S

impl

ify.

Div

ide

the

num

erat

or a

nd

deno

min

ator

by

the

GC

F, 5

.

Wri

te 1

80%

as

a fr

acti

on i

n s

imp

lest

for

m.

180%

mea

ns

180

out

of 1

00.

180%

¬��1 18 00 0�

Writ

e th

e pe

rcen

t as

a f

ract

ion

with

a d

enom

inat

or o

f 10

0.

¬�or

1�4 5�

Sim

plify

.

Wri

te �2 5�

as a

per

cen

t.W

rite

�9 8�as

a p

erce

nt.

�2 5�¬�

� 1n 00�S

et u

p a

prop

ortio

n.�9 8�¬

�� 1p 00�

Set

up

a pr

opor

tion.

2 �

100¬

�5

�n

Writ

e th

e cr

oss

prod

ucts

.9

�10

0¬�

8 �

pW

rite

the

cros

s pr

oduc

ts.

200¬

�5n

Mul

tiply

.90

0¬�

8pM

ultip

ly.

�20 50 �¬�

�5 5n �D

ivid

e ea

ch s

ide

by 5

.�90 80 �

¬��8 8p �

Div

ide

each

sid

e by

8.

40¬�

n11

2.5¬

�p

So,

�2 5�is

equ

ival

ent

to 4

0%.

So,

�9 8�is

equ

ival

ent

to 1

12.5

%.

Wri

te e

ach

per

cen

t as

a f

ract

ion

in

sim

ple

st f

orm

.

1.20

%�1 5�

2.35

%� 27 0�

3.70

%� 17 0�

4.60

%�3 5�

5.15

0%1 �

1 2�6.

225%

2 �1 4�

Wri

te e

ach

fra

ctio

n a

s a

per

cen

t.

7.� 13 0�

30%

8.� 12 00�

2%9.

�8 5�16

0%

10.

�1 5�20

%11

.�1 80 �

125%

12.

� 11 03 0�13

%

You

can

also

writ

e fr

actio

ns a

s pe

rcen

ts.T

o w

rite

a fr

actio

n as

a p

erce

nt,

writ

e a

prop

ortio

n an

d so

lve.

180

4 � � 100

5�153 � � 100

20�

To w

rite

a pe

rcen

t as

a f

ract

ion,

writ

e it

as a

fra

ctio

n w

ith a

den

omin

ator

of

100.

The

n si

mpl

ify.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Per

cen

ts a

nd

Fra

ctio

ns

Lesson 10–5



Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

400

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.W

hat

was

th

e se

con

d m

ost

popu

lar

reas

on?

a g

reat

ro

le m

od

el

2.W

hat

per

cen

t re

pres

ents

th

is s

ecti

on o

f th

e gr

aph

?22

%

3.B

ased

on

th

e m

ean

ing

of 2

2%, m

ake

a co

nje

ctu

re a

s to

how

you

wou

ld

wri

te t

his

per

cen

t as

a f

ract

ion

.S

ince

22%

mea

ns

22 o

ut

of

100,

wri

te 2

2 o

ut

of

100

as t

he

frac

tio

n � 12 02 0�

. Th

en w

rite

th

e fr

acti

on

in s

imp

lest

fo

rm. I

n

sim

ple

st f

orm

, �12 02 0�

is w

ritt

en �1 51 0�

. So

, 22%

can

be

wri

tten

as

�1 51 0�.

Rea

din

g t

he

Less

on

4.W

rite

th

e tw

o st

eps

to u

se t

o w

rite

a p

erce

nt

as a

fra

ctio

n.

Wri

te t

he

per

cen

t as

a f

ract

ion

wit

h a

den

om

inat

or

of

100.

Th

en s

imp

lify.

5.L

ook

at t

he

grap

hic

at

the

top

of p

age

400.

Wh

at i

s th

e su

m o

f th

e pe

rcen

ts?

Loo

k at

th

e ta

ble

at t

he

top

of p

age

401.

Wh

at i

s th

e su

m o

f th

e pe

rcen

ts?

Wh

y is

th

is i

mpo

rtan

t?10

0; 1

00;

Sam

ple

an

swer

: T

he

sum

of

the

per

cen

ts is

alw

ays

100.

Oth

erw

ise

you

kn

ow

th

atso

met

hin

g is

mis

sin

g o

r th

at t

her

e is

so

met

hin

g e

xtra

.6.

Loo

k at

Exa

mpl

e 2

on p

age

400.

Wh

y is

125

% w

ritt

en a

mix

ed n

um

ber?

Sam

ple

an

swer

: B

ecau

se t

he

per

cen

t is

gre

ater

th

an 1

00;

assh

ow

n in

th

e m

od

els,

100

fill

s o

ne

10 �

10 f

orm

an

d 2

5 fi

llso

ne

fou

rth

of

a se

con

d 1

0 �

10 f

orm

.

Hel

pin

g Y

ou

Rem

emb

er7.

Wri

te a

fra

ctio

n a

s a

perc

ent

usi

ng

the

step

s sh

own

in

Exa

mpl

es 4

an

d 5

on p

age

401.

Ch

oose

an

y fr

acti

on y

ou l

ike

diff

eren

t fr

om t

hos

e in

th

eE

xam

ples

.S

ee s

tud

ents

’wo

rk.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

earn

Mat

hem

atic

sP

erce

nts

an

d F

ract

ion

s

©G

lenc

oe/M

cGra

w-H

ill51

4M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Ste

pE

qu

atio

n(s

)

Set

up

a pr

opor

tion

.

Wri

te t

he

cros

spr

odu

cts.

Mu

ltip

ly.

Div

ide.

Con

clu

sion

.S

o, _

____

____

__ i

s eq

uiv

alen

t to

___

____

____

_.

©G

lenc

oe/M

cGra

w-H

ill51

3M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Prac

tice:

Wor

d Pr

oble

ms

Per

cen

ts a

nd

Fra

ctio

ns

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

1.TO

YS

Th

e T

itan

ic T

oy C

ompa

ny

has

a4%

ret

urn

rat

e on

its

pro

duct

s. W

rite

this

per

cen

t as

a f

ract

ion

in

sim

ples

tfo

rm.

� 21 5�

2.M

USI

CT

her

e ar

e 4

trom

bon

es o

ut

of 2

5in

stru

men

ts i

n t

he

Lan

ders

tow

n b

and.

Wh

at p

erce

nt

of t

he

inst

rum

ents

are

trom

bon

es?

16%

3.SH

OPP

ING

Ali

cia’

s fa

vori

te c

loth

ing

stor

e is

hav

ing

a 30

% o

ff s

ale.

Wh

atfr

acti

on r

epre

sen

ts t

he

30%

off

sal

e?

� 13 0�

4.FO

OD

At

Ben

’s B

urg

er P

alac

e, 4

5% o

fth

e cu

stom

ers

orde

r la

rge

soft

dri

nks

.W

hat

fra

ctio

n o

f th

e cu

stom

ers

orde

rla

rge

soft

dri

nks

?

� 29 0�

5.B

ASK

ETB

ALL

In t

he

2001

–200

2 N

BA

seas

on, S

haq

uil

le O

’Nea

l of

th

e L

osA

nge

les

Lak

ers

mad

e 60

% o

f h

is f

ield

goal

s. W

hat

fra

ctio

n o

f h

is f

ield

goa

lsdi

d S

haq

uil

le m

ake?

�3 5�

6.SC

HO

OL

In J

anie

’s c

lass

, 7 o

ut

of

25 s

tude

nts

hav

e bl

ue

eyes

. Wh

atpe

rcen

t of

th

e cl

ass

has

blu

e ey

es?

28%

7.TE

STS

Mic

hae

l an

swer

ed �1 27 0�

ques

tion

s

corr

ectl

y on

his

tes

t. W

hat

per

cen

t of

the

ques

tion

s di

d M

ich

ael

answ

erco

rrec

tly?

85%

8.R

ESTA

UR

AN

TSO

n S

atu

rday

aft

ern

oon

,

�4 51 0�te

leph

one

call

s ta

ken

at

Th

e

Ove

rloo

k re

stau

ran

t w

ere

for

din

ner

rese

rvat

ion

s. W

hat

per

cen

t of

th

ete

leph

one

call

s w

ere

for

din

ner

rese

rvat

ion

s?82

%

Lesson 10–5



An

swer

s

©G

lenc

oe/M

cGra

w-H

ill51

6M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Wri

te 2

3% a

s a

dec

imal

.

23%

¬�� 12 03 0�

Rew

rite

the

perc

ent

as a

fra

ctio

n w

ith a

den

omin

ator

of

100.

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NA

ME

____

____

____

____

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____

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In t

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2001

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App

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Prac

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NA

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____

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____

____

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Lesson 10–6



An

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s

Perc

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Per

Mill

Ap

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st l

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‰.

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CH

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at a

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epre

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ME

____

____

____

____

____

____

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____

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athe

mat

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licat

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ead

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du

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p o

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in y

ou

r te

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.

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hat

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t do

es t

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rep

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nt?

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on

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pag

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nom

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or c

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ltip

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wh

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en e

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th

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r th

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189

to a

wh

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mb

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Lesson 10–6



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ME

____

____

____

____

____

____

____

____

____

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Prac

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licat

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ours

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a f

ract

ion

.M

eth

od 2

Wri

te t

he

perc

ent

as a

dec

imal

.

120%

¬��1 12 00 0�

or�6 5�

120%

¬��1 12 00 0�

or1.

2

�6 5�of

25¬

��6 5�

�25

or

301.

2 of

25¬

� 1

.2�

25 o

r 30

So,

120

% o

f 25

is

30.

Fin

d t

he

per

cen

t of

eac

h n

um

ber

.1.

10%

of

120

2.60

% o

f 25

3.75

% o

f 24

1215

18

4.90

% o

f 40

5.12

0% o

f 20

6.15

0% o

f 2

3624

3

7.15

% o

f 40

8.30

% o

f 70

9.15

0% o

f 6

621

9

10.

165%

of

2011

.8%

of

1512

.6%

of

633

1.2

0.36

0% 0

10% 4

20% 8

30% 12

40% 16

50% 20

60% 24

70% 28

80% 32

90% 36

40

100%

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Per

cen

t o

f a

Nu

mb

erO

ne w

ay t

o fin

d th

e pe

rcen

t of

a n

umbe

r is

to

writ

e th

e pe

rcen

t as

a f

ract

ion

and

then

mul

tiply

.Ano

ther

way

is t

o w

rite

the

perc

ent

as a

dec

imal

and

the

n m

ultip

ly.

Lesson 10–7



An

swer

s

Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

409

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.W

hat

per

cen

t of

th

e ca

rs w

ere

trav

elin

g 20

mil

es p

er h

our

over

th

e sp

eed

lim

it?

5%

2.W

rite

a m

ult

ipli

cati

on s

ente

nce

th

at i

nvo

lves

a p

erce

nt

that

cou

ld b

e u

sed

to f

ind

the

nu

mbe

r of

car

s ou

t of

300

th

at w

ere

trav

elin

g 20

mil

es a

n h

our

over

th

e sp

eed

lim

it.

5% �

300

Rea

din

g t

he

Less

on

3.W

hat

are

tw

o di

ffer

ent

met

hod

s yo

u c

an u

se t

o fi

nd

the

perc

ent

of a

nu

mbe

r?W

rite

th

e p

erce

nt

as a

fra

ctio

n a

nd

th

en m

ult

iply

, or

wri

te t

he

per

cen

t as

a d

ecim

al a

nd

th

en m

ult

iply

.

4.C

ompl

ete

the

stat

emen

t: 1

2% o

f 48

has

th

e sa

me

mea

nin

g as

12

%

48.

Hel

pin

g Y

ou

Rem

emb

er5.

Wor

k w

ith

a p

artn

er. M

ake

up

a pr

oble

m i

n w

hic

h y

ou c

an f

ind

the

perc

ent

of a

nu

mbe

r as

in

Exa

mpl

es 1

an

d 2.

On

e pe

rson

use

s M

eth

od 1

,w

riti

ng

the

perc

ent

as a

fra

ctio

n. T

he

oth

er p

erso

n u

ses

Met

hod

2,

wri

tin

g th

e pe

rcen

t as

a d

ecim

al. C

ompa

re y

our

resu

lts.

Mak

e u

p an

oth

erpr

oble

m a

nd

hav

e ea

ch p

erso

n u

se t

he

oth

er m

eth

od. A

gain

, com

pare

you

r re

sult

s. D

o yo

u p

refe

r on

e m

eth

od o

ver

the

oth

er?

Exp

lain

.S

eest

ud

ents

’wo

rk.

�

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

earn

Mat

hem

atic

sP

erce

nt

of

a N

um

ber

©G

lenc

oe/M

cGra

w-H

ill52

4M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill52

3M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Prac

tice:

Wor

d Pr

oble

ms

Per

cen

t o

f a

Nu

mb

er

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

1.SC

HO

OL

Th

ere

are

520

stu

den

ts a

tN

orth

ridg

e H

igh

Sch

ool.

80%

of

thes

est

ude

nts

tak

e th

e bu

s. H

ow m

any

stu

den

ts t

ake

the

bus?

416

stu

den

ts

2.A

GE

Th

eres

a is

60%

as

old

as h

er s

iste

rM

ala,

wh

o is

20

year

s ol

d. H

ow o

ld i

sT

her

esa?

12 y

ears

old

3.TI

PPIN

GC

har

lie

wan

ts t

o le

ave

a 15

%ti

p fo

r a

mea

l th

at c

osts

$40

. How

mu

ch s

hou

ld C

har

lie

leav

e fo

r a

tip?

$6.0

0

4.SA

LES

TAX

Ch

arm

ain

e w

ants

to

buy

ash

irt

for

$15.

If

the

sale

s ta

x is

4%

of

$15,

how

mu

ch w

ill

she

pay

in s

ales

tax?

$0.6

0

5.FO

OTB

ALL

In t

he

2001

–200

2 re

gula

rse

ason

, th

e G

reen

Bay

Pac

kers

won

75%

of

thei

r ga

mes

. Th

ere

wer

e 16

regu

lar

seas

on g

ames

. How

man

yga

mes

did

Gre

en B

ay w

in?

12 g

ames

6.B

ASE

BA

LLD

uri

ng

the

2002

Wor

ldS

erie

s, R

ich

Au

rili

a of

th

e S

anF

ran

cisc

o G

ian

ts h

ad a

bat

tin

g av

erag

eof

250

or

25%

. He

was

at

bat

32 t

imes

.H

ow m

any

hit

s di

d h

e ge

t?8

hit

s

7.R

UN

NIN

GT

hom

as f

inis

hed

th

e ra

ce i

n12

0 m

inu

tes.

Jam

es t

ook

95.5

% a

s lo

ng

as T

hom

as t

o fi

nis

h t

he

race

. How

lon

gdi

d it

tak

e Ja

mes

to

fin

ish

th

e ra

ce?

114.

6 m

in

8.SH

OPP

ING

AD

VD

pla

yer

that

nor

mal

lyco

sts

$160

is

on s

ale

for

70%

of

its

nor

mal

pri

ce. W

hat

is

the

sale

pri

ce o

fth

e D

VD

pla

yer?

$112

Lesson 10–7



The

tab

le b

elow

sho

ws

som

e co

mm

only

use

d pe

rcen

ts a

nd t

heir

frac

tion

equi

vale

nts.

Est

imat

e ea

ch p

erce

nt.

20%

of

5876

% o

f 25

.

20%

is

�1 5�.76

% i

s cl

ose

to 7

5% o

r �3 4�.

Rou

nd

58 t

o 60

sin

ce i

t is

div

isib

le b

y 5.

Rou

nd

25 t

o 24

sin

ce i

t is

div

isib

le b

y 4.

�1 5��

60¬

��

�3 4�

�24

¬��

¬� 1

2¬�

18S

o, 2

0% o

f 58

is

abou

t 12

.S

o, 7

6% o

f 25

is

abou

t 18

.

Est

imat

e th

e p

erce

nt

of t

he

figu

re t

hat

is

shad

ed.

2 ou

t of

9 c

ircl

es a

re s

had

ed.

�2 9�is

abo

ut

�3 9�or

�1 3�

�1 3��

33�1 3�%

So,

abo

ut

33�1 3�%

of

the

figu

re i

s sh

aded

.

Est

imat

e ea

ch p

erce

nt.

1–6.

Sam

ple

an

swer

s g

iven

.1.

49%

of

8 2.

62%

of

203.

40%

of

51

�1 2��

8�

4�3 5�

�20

�12

�2 5��

50�

20

4.24

% o

f 27

5.81

% o

f 32

6.19

% o

f 46

�1 4��

28�

7�4 5�

�30

�24

�1 5��

45�

9

Est

imat

e th

e p

erce

nt

that

is

shad

ed i

n e

ach

fig

ure

.7.

abo

ut

25%

8.ab

ou

t 75

%9.

abo

ut

50%

246 � � 13 � 4 1�

6012 � � 11 � 5 1�

©G

lenc

oe/M

cGra

w-H

ill52

6M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Est

imat

ing

wit

h P

erce

nts

Per

cen

t-F

ract

ion

Eq

uiv

alen

ts

20%

��1 5�

50%

��1 2�

30%

�� 13 0�

60%

��3 5�

40%

��2 5�

70%

�� 17 0�

100%

�1

90%

�� 19 0�

80%

��4 5�

75%

��3 4�

25%

��1 4�

66�2 3�%

��2 3�

33�1 3�%

��1 3�

©G

lenc

oe/M

cGra

w-H

ill52

5M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Esti

mat

ing

Sal

es T

axM

any

stat

es c

har

ge a

sal

es t

axon

pu

rch

ases

. To

be s

ure

th

at y

ou h

ave

enou

gh m

oney

, you

sh

ould

be

able

to

esti

mat

e th

e am

oun

t of

sal

es t

ax a

nd

the

tota

l co

st o

f an

ite

m. F

or e

xam

ple,

th

is i

s h

ow y

ou c

an e

stim

ate

the

tota

l co

st o

f th

e pu

rch

ase

show

n a

t th

e ri

ght.

Fir

st, r

oun

d t

he

Mu

ltip

ly t

he

rou

nd

ed n

um

ber

s.p

rice

an

d t

he

rate

.11

dol

lars

$10.

95 ➝

$11

��7 7¢ 7¢

pe�r

8d 0o ¢llar

�7%

mea

ns 7

¢ pe

r 10

0¢,

6.75

%

➝7%

or 7

¢ pe

r do

llar.

So,

th

e to

tal

cost

is

clos

e to

$11

�80

¢, o

r $1

1.80

.

Est

imat

e th

e to

tal

cost

of

each

pu

rch

ase.

Est

imat

es m

ay v

ary.

1.2.

3.

sale

s ta

xsa

les

tax

sale

s ta

xra

te: 5

%$7

.35

rate

: 5.7

5%$1

2.72

rate

: 4.2

55%

$20.

80

4.5.

6.

sale

s ta

xsa

les

tax

sale

s ta

xra

te: 6

�1 2�%$3

2.10

rate

: 8�1 4�%

$86.

40ra

te: 6

.25%

$127

.20

Wil

l $5

0 b

e en

ough

mon

ey t

o m

ake

such

pu

rch

ase?

7.8.

9.

sale

s ta

xsa

les

tax

sale

s ta

xra

te: 3

%n

ora

te: 4

.75%

yes

rate

: 8�1 4�%

no

10.

CH

ALL

ENG

ET

he

pric

e m

arke

d on

a c

asse

tte

tape

is

$8.9

9. W

ith

th

e sa

les

tax,

th

e to

tal

cost

of

the

tape

is

$9.3

7. E

stim

ate

the

sale

s ta

x ra

te.

a lit

tle

mo

re t

han

4%

$46.

99$4

6.99

$48.

95

$117

.99

$79.

00

$29.

95

$19.

88$1

1.97

$6.9

8

$10.

95

sale

s ta

xra

te: 6

.75%

Enric

hmen

tN

AM

E__

____

____

____

____

____

____

____

____

____

__D

ATE

___

____

____

___

PE

RIO

D

____

_

Lesson 10–7



An

swer

s

©G

lenc

oe/M

cGra

w-H

ill52

8M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

Est

imat

ing

wit

h P

erce

nts

1.SC

HO

OL

At

Wes

tsid

e H

igh

Sch

ool,

24%

of t

he

225

sixt

h g

rade

stu

den

ts w

alk

tosc

hoo

l. A

bou

t h

ow m

any

of t

he

sixt

hgr

ade

stu

den

ts w

alk

to s

choo

l?S

amp

le a

nsw

er:

�1 4��

220

�55

stu

den

ts

2.B

ASK

ETB

ALL

In t

he

2002

reg

ula

r se

ason

the

WN

BA

Cle

vela

nd

Roc

kers

won

31.2

5% o

f th

eir

gam

es. T

hey

had

32

gam

es i

n t

hei

r re

gula

r se

ason

. Abo

ut

how

man

y ga

mes

did

th

ey w

in?

Sam

ple

an

swer

:

� 13 0��

30�

9 g

ames

3.SA

LES

TAX

Th

e sa

les

tax

rate

in

Lac

onis

9%

. Abo

ut

how

mu

ch t

ax w

ould

you

pay

on a

n i

tem

th

at c

osts

$61

?S

amp

le a

nsw

er:

� 11 0��

60�

$6

4.SP

OR

TST

he

con

cess

ion

sta

nd

at a

foot

ball

gam

e se

rved

178

cu

stom

ers.

Of

thos

e, a

bou

t 52

% b

ough

t a

hot

dog

.A

bou

t h

ow m

any

cust

omer

s bo

ugh

t a

hot

dog

?S

amp

le a

nsw

er:

�1 2��

180

�90

cu

sto

mer

s

5.R

EAD

ING

Max

has

com

plet

ed 3

9% o

f h

isre

adin

g as

sign

men

t. I

f th

ere

are

303

page

s in

th

e as

sign

men

t, a

bou

th

ow m

any

page

s h

as M

ax r

ead?

Sam

ple

an

swer

:

�2 5��

300

�12

0 p

ages

6.SH

OPP

ING

Ast

ore

is h

avin

g a

20%

sal

e.T

hat

mea

ns

the

cust

omer

pay

s 80

% o

fth

e re

gula

r pr

ice.

Abo

ut

how

mu

chw

ould

you

pay

for

an

ite

m t

hat

regu

larl

y se

lls

for

$44.

99?

Sam

ple

answ

er:

�4 5��

45�

$36

7.SL

EEP

Are

cen

t st

udy

sh

ows

that

peo

ple

spen

d ab

out

31%

of

thei

r ti

me

asle

ep.

Abo

ut

how

mu

ch t

ime

wil

l a

pers

onsp

end

asle

ep d

uri

ng

an a

vera

ge 7

8 ye

arli

feti

me?

Sam

ple

an

swer

:

� 13 0��

80�

24 y

ears

8.B

IOLO

GY

Th

e h

um

an b

ody

is 7

2%w

ater

, on

ave

rage

. Abo

ut

how

mu

chw

ater

wil

l be

in

a p

erso

n t

hat

wei

ghs

138

pou

nds

?S

amp

le a

nsw

er:

� 17 0��

140

�98

lb w

ater

©G

lenc

oe/M

cGra

w-H

ill52

7M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Est

imat

e ea

ch p

erce

nt.

1–18

. Sam

ple

an

swer

s g

iven

.

1.58

% o

f 5

2.41

% o

f 10

3.75

% o

f 17

�3 5��

5�

3�2 5�

�10

�4

�3 4��

16�

12

4.50

% o

f 39

5.24

% o

f 13

6.82

% o

f 24

�1 2��

40�

20�1 4�

�12

�3

�4 5��

25�

20

7.19

% o

f 31

8.73

% o

f 61

9.62

% o

f 34

�1 5��

30�

6�3 4�

�60

�45

�3 5��

35�

21

10.

49%

of

7111

.38

% o

f 42

12.

27%

of

81

�1 2��

70�

35�2 5�

�40

�16

�1 4��

80�

20

13.

79%

of

1614

.52

% o

f 11

815

.19

% o

f 94

�4 5��

15�

12�1 2�

�12

0�

60�1 5�

�95

�19

16.

33%

of

6117

.91

% o

f 82

18.

67%

of

241

�1 3��

60�

20� 19 0�

�80

�72

�2 3��

240

�16

0

19–2

1. S

amp

le a

nsw

ers

giv

en.

Est

imat

e th

e p

erce

nt

of t

he

figu

re t

hat

is

shad

ed.

19.

20.

21.

abo

ut

50%

abo

ut

75%

abo

ut

50%

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsE

stim

atin

g w

ith

Per

cen

ts

Lesson 10–8



Usi

ng

100

%, 1

0%, a

nd

1%

Man

y pe

ople

th

ink

of 1

00%

, 10%

, an

d 1%

as

key

perc

ents

.

100%

is

the

wh

ole.

100%

of

24 �

1 �

24, o

r 24

.

10%

is

one

ten

thof

th

e w

hol

e.10

% o

f 24

�0.

1 �

24, o

r 2.

4.

1% i

s on

e h

un

dre

dth

of t

he

wh

ole.

1% o

f 24

�0.

01 �

24, o

r 0.

24.

Fin

d t

he

per

cen

t of

eac

h n

um

ber

.

1.10

0% o

f 8,

000

8,00

02.

10%

of

8,00

080

0

3.1%

of

8,00

080

4.10

% o

f 64

064

5.10

0% o

f 72

072

06.

1% o

f 29

02.

9

7.1%

of

500.

58.

100%

of

3333

9.10

% o

f 14

1.4

10.

100%

of

22

11.

1% o

f 9

0.09

12.

10%

of

70.

7

Th

is i

s h

ow y

ou c

an u

se t

he

key

perc

ents

to

mak

e so

me

com

puta

tion

s ea

sier

.

3% o

f 61

0 �

.5%

of

24 �

.

1% o

f 61

0 �

6.1,

10%

of

24 �

2.4,

so 3

% o

f 61

0 �

3�

6.1,

or

18.3

.so

5%

of

24 �

�1 2�of

2.4

, or

1.2.

Fin

d t

he

per

cen

t of

eac

h n

um

ber

.

13.

2% o

f 14

02.

814

.8%

of

2,10

016

8

15.

4% o

f 9

0.36

16.

20%

of

233

46.6

17.

70%

of

9063

18.

30%

of

4,11

01,

233

19.

5% o

f 16

08

20.

5% o

f 38

1.9

21.

50%

of

612

306

22.

25%

of

168

42

23.

2.5%

of

320

824

.2.

5% o

f 28

0.7

??

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Enric

hmen

t

©G

lenc

oe/M

cGra

w-H

ill53

0M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

©G

lenc

oe/M

cGra

w-H

ill52

9M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

earn

Mat

hem

atic

sE

stim

atin

g w

ith

Per

cen

ts

Pre-

Act

ivit

yR

ead

th

e in

tro

du

ctio

n a

t th

e to

p o

f p

age

415

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.W

hat

wou

ld b

e th

e co

st o

f th

e n

oteb

ook

at 1

0% o

ff?

3.78

2.W

hat

wou

ld b

e th

e co

st o

f th

e pe

nci

ls a

t 25

% o

ff?

Rou

nd

to t

he

nea

rest

cen

t.$1

.49

3.E

xpla

in h

ow y

ou m

igh

t es

tim

ate

the

cost

of

the

not

eboo

k at

10%

off

an

dth

e co

st o

f th

e pe

nci

ls a

t 25

% o

ff.

Sam

ple

an

swer

: To

fin

d t

he

sale

pri

ce o

f th

e n

ote

bo

ok,

ro

un

d $

4.20

to

$4.

Th

en u

se m

enta

lm

ath

to

su

btr

act

10%

of

$4, w

hic

h is

$0.

40 f

rom

$4

to g

et

an e

stim

ate

of

$3.6

0.

Rea

din

g t

he

Less

on

4.W

rite

th

e fr

acti

on f

or e

ach

per

cen

t.

5.C

ompl

ete

the

sen

ten

ce.

Wh

en y

ou e

stim

ate

wit

h p

erce

nts

, you

rou

nd

to n

um

bers

th

at a

re__

____

____

____

_.ea

sy t

o m

ult

iply

Hel

pin

g Y

ou

Rem

emb

er6.

Wor

k w

ith

a p

artn

er. U

sin

g th

e fr

acti

ons

and

perc

ents

in

th

e ta

ble

you

com

plet

ed f

or E

xerc

ise

4, t

ake

turn

s sa

yin

g ei

ther

a f

ract

ion

or

perc

ent.

If

you

say

a f

ract

ion

, you

r pa

rtn

er w

rite

s th

e co

rres

pon

din

g pe

rcen

t. I

f yo

usa

y a

perc

ent,

you

r pa

rtn

er w

rite

s th

e co

rres

pon

din

g fr

acti

on. M

ake

sure

you

r pa

rtn

er c

ann

ot s

ee t

he

tabl

e ab

ove.

Con

tin

ue

wit

h y

our

prac

tice

un

til

you

can

rem

embe

r al

l th

e fr

acti

ons

and

perc

ents

.S

ee s

tud

ents

’w

ork

.

20%

��1 5�

40%

��2 5�

60%

��3 5�

80%

��4 5�

25%

��1 4�

50%

��1 2�

75%

��3 4�

100%

�1

33�1 3�%

��1 3�

66�2 3�%

��2 3�

Lesson 10–8


1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:

1.

2.

3.

4.

5.

6.

7.

8.

9. C

I

B

H

A

H

B

G

D

37.5%

I

B

F

A

I

B

H

C

H

D

G

B

G

C

I

C

H

B

F

D

Chapter 10 Assessment Answer KeyForm 1 Form 2APage 531 Page 532 Page 533

(continued on the next page)


An

swer

s

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B: 325 g

F

B

H

D

F

D

F

A

I

D

G

C

I

B

F

A

F

B

G

D

165 g

F

C

H

C

G

A

G

D

F

C

H

Chapter 10 Assessment Answer KeyForm 2A (continued) Form 2BPage 534 Page 535 Page 536


1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B: 55 feet

75% � 20 � 15

50% � 60 � 30

15

32.13

24

4.6%

0.06

80%

�4510�

15%

38 miles

16 miles

20

27

2

�1 m

$o5nth�

�53

1khm

�

�92

�

�285�

Chapter 10 Assessment Answer KeyForm 2CPage 537 Page 538


An

swer

s

Sample answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B: $345.60

50% � 250 � 125

40% � 200 � 80

60.5

16

21

93.1%

0.09

60%

�235�

44%

7.5 km

23 km

8

7

20

�30

1st

culadsesnts

�

�30

1mga

ilels

�

�35

�

�210�

Chapter 10 Assessment Answer KeyForm 2DPage 539 Page 540


Sample answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

B: $18.75

10% � $40 � $4

75% � 120 � 90

30% � 20 � 6

81.6

18

36.75

15%

56%

64%

2.3; 2�130�

0.008; �1125�

0.06; �530�

76%

37%

6 ft

24 ft

52 ft

1.6

90

4

�22.5

1pu

msihn-ups

�

�2.7 he

1ar

stbeats�

�171�

�232�

Chapter 10 Assessment Answer KeyForm 3Page 541 Page 542


An

swer

s

Sample answer:


Level Specific Criteria

4 The student demonstrates a thorough understanding of the mathematicsconcepts and/or procedures embodied in the task. The student hasresponded correctly to the task, used mathematically sound procedures,and provided clear and complete explanations and interpretations. Theresponse may contain minor flaws that do not detract from thedemonstration of a thorough understanding.

3 The student demonstrates an understanding of the mathematics conceptsand/or procedures embodied in the task. The student’s response to thetask is essentially correct with the mathematical procedures used and theexplanations and interpretations provided demonstrating an essential butless than thorough understanding. The response may contain minor errorsthat reflect inattentive execution of the mathematical procedures orindications of some misunderstanding of the underlying mathematicsconcepts and/or procedures.

2 The student has demonstrated only a partial understanding of themathematics concepts and/or procedures embodied in the task. Althoughthe student may have used the correct approach to obtaining a solution ormay have provided a correct solution, the student’s work lacks an essentialunderstanding of the underlying mathematical concepts. The responsecontains errors related to misunderstanding important aspects of the task,misuse of mathematical procedures, or faulty interpretations of results.

1 The student has demonstrated a very limited understanding of themathematics concepts and/or procedures embodied in the task. Thestudent’s response to the task is incomplete and exhibits many flaws.Although the student has addressed some of the conditions of the task, thestudent reached an inadequate conclusion and/or provided reasoning thatwas faulty or incomplete. The response exhibits many errors or may beincomplete.

0 The student has provided a completely incorrect solution oruninterpretable response, or no response at all.

Chapter 10 Assessment Answer KeyPage 543, Extended Response Assessment

Scoring Rubric

An

swer

s


Chapter 10 Assessment Answer Key Page 543, Extended Response Assessment

Sample Answers

1. a. A ratio is the comparison of twonumbers by division.

b. 3 out of 4, 3:4, 3 to 4, �34�

c. A rate is a ratio that compares twodifferent units of measure. A unitrate is a rate that is in the per unitform. A unit rate is written with adenominator of 1. An example of aunit rate is 50 miles in 1 hour or 50miles per hour. An example of ratethat is not a unit rate is 50 miles in 2 hours.

d. A proportion is a statement that tworatios are equivalent.

e. A scale drawing of the classroom hasa scale of 2 inches � 5 feet. Thewidth of the classroom in thedrawing is 14 inches. What is thewidth of the actual classroom?

f. 2 inches � 5 feet�25� � �

1w4� Write the proportion.

2w� 70 Write the cross products.w� 35 Solve for w.

The classroom is 35 feet wide.

2. a. To write a percent as a fraction,write it with a denominator of 100and simplify.To write a percent as a decimal,rewite the percent as a fraction witha denominator of 100. Then write thefraction as a decimal, or move thedecimal point two places to the left.

b. 20% � � 0.20

0.20 � $35 � $7 or �15� � $35 � $7

The sale price is $35 � $7 � $28.

c. 30% is about �13�, $40 is about 39,

�13� � 39 � $13, 40 � $13 � $27

The sale price of the jacket is about $27.

d. 30% of 40 � 0.30 � $40 � $12,$40 � $12 � $28

e. To write a fraction as a percent, writea proportion with a fraction equal to �1

n00�

. Then solve for n and write as n%.

f. �14� � �1

n00�

; 4n � 100; n � 25; �14� � 25%

g. 20% of 35 � $7; �14� of $32 � $8.

A customer would save more money on the book, since $8 � $7.

1�5

In addition to the scoring rubric found on page A28, the following sample answersmay be used as guidance in evaluating extended response assessment items.

An

swer

s

1. denominator

2. value

3. proportion

4. scale

5. ratio

6. unit rate

7. proportional

8. rate

9. cross products

10. percent

11. The product of thenumerator of onefraction and thedenominator of theother fraction in aproportion; aproportion has twoequal crossproducts.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Quiz (Lessons 10-3 and 10-4)

Page 545

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Quiz (Lessons 10-7 and 10-8)

Page 546

1.

2.

3.

4.

5. C

25% � 120 � 30

70% � 140 � 98

0.352

30

�

�

81.2%35%

0.0040.21

250%45%

1�130�

�210�

27%

2,700 m

25 m

15 lb254.5

13

�1$3

D.V99

D�

�11.2

m5

imn

i�

�25

�

�121�

�45

�

Chapter 10 Assessment Answer KeyVocabulary Test/Review Quiz (Lessons 10-1 and 10-2) Quiz (Lessons 10-5 and 10-6)

Page 544 Page 545 Page 546


Sample answer:

Sample answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

1.

2.

3. ’

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18. 256

0.0029

38%

7

�23

�

�4, �3, �1

�5

�2

(5 � 20) � 74; 7,400

8 or �8

1�13

�

�270�

4�34

�

3�21030

�

7.125

$7.61

68

3

125 mi

62�12

� mi

12

36

C

F

B

H

B

Chapter 10 Assessment Answer KeyMid-Chapter Test Cumulative ReviewPage 547 Page 548


An

swer

sSample answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10. 11.

12.

13.

14. a. 64%

b. �1265�; 64% � �

16040

� � �1265�

c. 0.64; 64% � �16040

� � 0.64

13�13

�

�28

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

21

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

82

DCBA

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

Chapter 10 Assessment Answer KeyStandardized Test PracticePage 549 Page 550


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