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Chapter 3

Resource Masters

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Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Permission isgranted to reproduce the material contained herein on the condition that suchmaterial be reproduced only for classroom use; be provided to students, teachers,and families without charge; and be used solely in conjunction with Math Connects,Course 2. Any other reproduction, for use or sale, is prohibited without prior writtenpermission of the publisher.

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

ISBN: 978-0-07-881043-5MHID: 0-07-881043-4 Math Connects, Course 2

Printed in the United States of America

1 2 3 4 5 6 7 8 9 10 045 16 15 14 13 12 11 10 09 08 07

Consumable Workbooks Many of the worksheets contained in the Chapter Resource Masters

are available as consumable workbooks in both English and Spanish.

MHID ISBNStudy Guide and Intervention Workbook 0-07-881054-X 978-0-07-881054-1

Skills Practice Workbook 0-07-881053-1 978-0-07-881053-4

Practice Workbook 0-07-881056-6 978-0-07-881056-5

Word Problem Practice Workbook 0-07-881055-8 978-0-07-881055-8

Spanish VersionsStudy Guide and Intervention Workbook 0-07-881058-2 978-0-07-881058-9Skills Practice Workbook 0-07-881057-4 978-0-07-881057-2Practice Workbook 0-07-881060-4 978-0-07-881060-2Word Problem Practice Workbook 0-07-881059-0 978-0-07-881059-6

Answers for Workbooks The answers for Chapter 3 of these workbooks can be found in the

back of this Chapter Resource Masters booklet.

StudentWorks Plus™ This CD-ROM includes the entire Student Edition test along with the

English workbooks listed above.

TeacherWorks Plus™ All of the materials found in this booklet are included for viewing,

printing, and editing in this CD-ROM.

Spanish Assessment Masters MHID: 0-07-881061-2 ISBN: 978-0-07-881061-9

These masters contain a Spanish version of Chapter 3 Test Form 2A and Form 2C.

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Teacher’s Guide to Using the Chapter 3 Resource Masters .........................................iv

Chapter Resources Chapter 3 Student-Built Glossary ......................1Chapter 3 Family Letter (English) ......................3Chapter 3 Family Activity (English) ....................4Chapter 3 Family Letter (Spanish) .....................5Chapter 3 Family Activity (Spanish)...................6Chapter 3 Anticipation Guide (English)..............7Chapter 3 Anticipation Guide (Spanish) ............8

Lesson 3-1 Writing Expressions and EquationsLesson Reading Guide ......................................9Study Guide and Intervention ..........................10Skills Practice...................................................11Practice ............................................................12Word Problem Practice ....................................13Enrichment .......................................................14

Lesson 3-2 Solving Addition and Subtraction EquationsLesson Reading Guide ....................................15Study Guide and Intervention ..........................16Skills Practice...................................................17Practice ............................................................18Word Problem Practice ....................................19Enrichment .......................................................20Scientific Calculator Activity .............................21

Lesson 3-3 Solving MultiplicationEquationsLesson Reading Guide ....................................22Study Guide and Intervention ..........................23Skills Practice...................................................24Practice ............................................................25Word Problem Practice ....................................26Enrichment .......................................................27

Lesson 3-4 Problem-SolvingInvestigation: Work BackwardStudy Guide and Intervention ..........................28Skills Practice...................................................29Practice ............................................................30Word Problem Practice ....................................31

Lesson 3-5 Solving Two-StepEquationsLesson Reading Guide ....................................32Study Guide and Intervention ..........................33Skills Practice...................................................34Practice ............................................................35Word Problem Practice ....................................36Enrichment .......................................................37

Lesson 3-6 Measurement:Perimeter and Area Lesson Reading Guide ....................................38Study Guide and Intervention ..........................39Skills Practice...................................................40Practice ............................................................41Word Problem Practice ....................................42Enrichment .......................................................43Spreadsheet Activity ........................................44

Lesson 3-7 Functions and GraphsLesson Reading Guide ....................................45Study Guide and Intervention ..........................46Skills Practice...................................................47Practice ............................................................48Word Problem Practice ....................................49Enrichment .......................................................50TI-73 Activity ....................................................51

Chapter 3 AssessmentStudent Recording Sheet.................................53Rubric for Scoring Extended Response...........54Chapter 3 Quizzes 1 and 2 ..............................55Chapter 3 Quizzes 3 and 4 ..............................56Chapter 3 Mid-Chapter Test .............................57Chapter 3 Vocabulary Test ...............................58Chapter 3 Test, Form 1 ....................................59Chapter 3 Test, Form 2A..................................61Chapter 3 Test, Form 2B..................................63Chapter 3 Test, Form 2C..................................65Chapter 3 Test, Form 2D..................................67Chapter 3 Test, Form 3 ....................................69Chapter 3 Extended-Response Test ................71Chapter 3 Standardized Test Practice..............72Unit 1 Test .......................................................75

Answers..................................................A1–A33

Contents

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Teacher’s Guide to Using the Chapter 3 Resource Masters

The Chapter 3 Resource Masters includes the core materials needed for Chapter 3. Thesematerials include worksheets, extensions, and assessment options. The answers for thesepages appear at the back of this booklet.

All of the materials found in this booklet are included for viewing and printing on theTeacherWorks Plus™ CD-ROM.

Chapter ResourcesStudent-Built Glossary (page 1) Thesemasters are a student study tool thatpresents up to twenty of the key vocabularyterms from the chapter. Students are torecord definitions and/or examples for eachterm. You may suggest that studentshighlight or star the terms with which theyare not familiar. Give this to students beforebeginning Lesson 3-1. Encourage them toadd these pages to their mathematics studynotebooks. Remind them to complete theappropriate words as they study each lesson.

Family Letter and Family Activity(pages 3–6) The letter informs yourstudents’ families of the mathematics theywill be learning in this chapter. The familyactivity helps them to practice problems thatare similar to those on the state test. A fullsolution for each problem is included.Spanish versions of these pages are alsoincluded. Give these to students to takehome before beginning the chapter.

Anticipation Guide (pages 7–8) Thismaster, presented in both English andSpanish, is a survey used before beginningthe chapter to pinpoint what students mayor may not know about the concepts in thechapter. Students will revisit this surveyafter they complete the chapter to see iftheir perceptions have changed.

Lesson ResourcesLesson Reading Guide Get Ready for theLesson reiterates the questions from thebeginning of the Student Edition lesson.Read the Lesson asks students to interpretthe context of and relationships amongterms in the lesson. Finally, Remember WhatYou Learned asks students to summarizewhat they have learned using variousrepresentation techniques. Use as a studytool for note taking or as an informalreading assignment. It is also a helpful toolfor ELL (English Language Learners).

Study Guide and Intervention Thismaster provides vocabulary, key concepts,additional worked-out examples and CheckYour Progress exercises to use as areteaching activity. It can also be used inconjunction with the Student Edition as aninstructional tool for students who havebeen absent.

Skills Practice This master focuses moreon the computational nature of the lesson.Use as an additional practice option or ashomework for second-day teaching of thelesson.

Practice This master closely follows thetypes of problems found in the Exercisessection of the Student Edition and includesword problems. Use as an additionalpractice option or as homework for second-day teaching of the lesson.

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Word Problem Practice This masterincludes additional practice in solving wordproblems that apply the concepts of thelesson. Use as an additional practice or ashomework for second-day teaching of thelesson.

Enrichment These activities may extendthe concepts of the lesson, offer an historicalor multicultural look at the concepts, orwiden students’ perspectives on themathematics they are learning. They arewritten for use with all levels of students.

Graphing Calculator, ScientificCalculator, or Spreadsheet ActivitiesThese activities present ways in whichtechnology can be used with the concepts insome lessons of this chapter. Use as analternative approach to some concepts or asan integral part of your lesson presentation.

Assessment OptionsThe assessment masters in the Chapter 3Resource Masters offer a wide range ofassessment tools for formative (monitoring)assessment and summative (final) assessment.

Student Recording Sheet This mastercorresponds with the Test Practice at theend of the chapter.

Extended-Response Rubric This masterprovides information for teachers andstudents on how to assess performance onopen-ended questions.

Quizzes Four free-response quizzes offerassessment at appropriate intervals in thechapter.

Mid-Chapter Test This 1-page testprovides an option to assess the first half ofthe chapter. It parallels the timing of theMid-Chapter Quiz in the Student Editionand includes both multiple-choice and free-response questions.

Vocabulary Test This test is suitable forall students. It includes a list of vocabularywords and 10 questions to assess students’knowledge of those words. This can also beused in conjunction with one of the leveledchapter tests.

Leveled Chapter Tests• Form 1 contains multiple-choice questions

and is intended for use with below gradelevel students.

• Forms 2A and 2B contain multiple-choicequestions aimed at on grade levelstudents. These tests are similar in formatto offer comparable testing situations.

• Forms 2C and 2D contain free-responsequestions aimed at on grade levelstudents. These tests are similar in formatto offer comparable testing situations.

• Form 3 is a free-response test for use withabove grade level students.

All of the above mentioned tests include afree-response Bonus question.

Extended-Response Test Performanceassessment tasks are suitable for allstudents. Sample answers and a scoringrubric are included for evaluation.

Standardized Test Practice These threepages are cumulative in nature. It includestwo parts: multiple-choice questions withbubble-in answer format and short-answerfree-response questions.

Answers• The answers for the Anticipation Guide

and Lesson Resources are provided asreduced pages with answers appearing in red.

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

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Chapter 3 1 Course 2

Vocabulary TermFound

Definition/Description/Exampleon Page

formula

linear equation

two-step equation

work backward strategy

NAME ________________________________________ DATE ______________ PERIOD _____

Student-Built Glossary

This is an alphabetical list of new vocabulary terms you will learn inChapter 3. As you study the chapter, complete each term’s definitionor description. Remember to add the page number where you foundthe term. Add this page to your math study notebook to reviewvocabulary at the end of the chapter.

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Family LetterNAME ________________________________________ DATE ______________ PERIOD _____


Dear Parent or Guardian:

Knowing how to solve equations is a valuable skill. Sometimes

we use this skill without even realizing it. For example, we use

equations to decide how far we can travel on one tank of

gasoline. Relating math skills to everyday events is just one way

to help students appreciate what they are learning in our class.

In Chapter 3, Algebra: Linear Equations and Functions, your

child will be learning how to write expressions and equations, to

solve one and two-step equations, to find perimeter and area, to

graph functions and relationships, and to work backward to solve

problems. In the study of this chapter, 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 practices how the math

we will be learning in Chapter 3 might be tested. You may also

wish to log on to glencoe.com for self-check quizzes and other

study help. If you have any questions or comments, feel free to

contact me at school.

Sincerely,

Signature of Parent or Guardian ______________________________________ Date ________

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Family ActivityState Test Practice

NAME ________________________________________ DATE ______________ PERIOD _____


1. Yvonne went to the store to purchase$10.00 worth of soda. It was on sale andonly cost $2.50 for each 12-pack. Howmany 12-packs did she buy?

Which equation could be used to solvethis problem?

A 10n � 2.5

B � 10

C 2.5n � 10

D 2.5 � 10 � n

Fold here.

Solution1. Hint: In order to write an equation, a letter

is sometimes used to replace an unknownquantity. In this case, n is used torepresent the number of 12-packs Yvonne purchased.

You know that a certain number of 12-packs (n) cost $10. You also knowthat each 12-pack costs $2.50. If youmultiply the cost of the 12-packs by thenumber of 12-packs purchased(2.5 � 10), it should be equal to totalamount of money spent ($10).

The answer is C.

2. Use the circles and tally marks below tohelp you solve the following equation:

5n � 35

A n � 5

B n � 7

C n � 175

D n �

Solution2. Hint: You should evenly divide the

tally marks between the 5 circles. Thenumber of tally marks in each circle willbe the answer. This works because inorder to solve a multiplication equation,you perform the inverse function, which isdivision.

The tally marks divide evenly into 5 groups of 7.

The answer is B.

1�7

n�2.5

3

Fold the page along the dashed line. Work each problem on another piece of paper.Then unfold the page to check your work.

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Carta a la familiaNOMBRE ______________________________________ FECHA ____________ PERÍODO _____

Capítulo 3 5 Course 2

Estimado padre o apoderado:

Saber resolver ecuaciones es una destreza valiosa que a veces

utilizamos sin darnos cuenta. Por ejemplo, usamos ecuaciones

para determinar cuánto camino podemos recorrer con un

tanque de gasolina. Relacionar destrezas matemáticas con

eventos cotidianos es sólo una manera de ayudar a los alumnos

a apreciar lo que aprenden en nuestra clase.

En el Capítulo 3, Álgebra: Ecuaciones y funciones, su hijo(a)

aprenderá a escribir expresiones y ecuaciones, a resolver ecuaciones

de uno y dos pasos, a calcular el perímetro y el área, a graficar

funciones y relaciones; y a resolver problemas trabajando al revés.

En el estudio de este capítulo, su hijo(a) completará una variedad

de tareas y actividades diarias y es posible que trabaje en un

proyecto del capítulo.

Al firmar esta carta y devolverla con su hijo(a), usted se com-

promete a ayudarlo(a) a participar en su aprendizaje. Junto con

esta carta, va incluida una actividad que puede realizar con

él(ella) y la cual practica lo que podrían encontrar en las prue-

bas de los conceptos matemáticos que aprenderán en el

Capítulo 3. Además, visiten glencoe.com para ver autocontroles

y otras ayudas para el estudio. Si tiene cualquier pregunta o

comentario, por favor contácteme en la escuela.

Cordialmente,

Firma del padre o apoderado ________________________________________ Fecha ______

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Actividad en familiaPráctica para la prueba estatal

NOMBRE ______________________________________ FECHA ____________ PERÍODO _____


1. Yvonne fue a la tienda para comprar$10.00 de refrescos. Como estabanrebajados, cada paquete de 12 sólocostaba $2.50. ¿Cuántos paquetes de 12compró?

¿Qué ecuación podría usarse pararesolver este problema?

A 10n � 2.5

B � 10

C 2.5n � 10

D 2.5 � 10 � n

Doblen aquí.

Solución1. Ayuda: Para escribir una ecuación, a

veces se usa una letra para reemplazaruna cantidad desconocida. En este caso,se usa n para representar el número depaquetes de 12 que compró Yvonne.

Saben que cierto paquete de 12 (n)cuesta $10. También saben que cadapaquete de 12 cuesta $2.50. Simultiplican el costo de los paquetes de12 por el número de paquetes de 12comprado (2.5 � 10), esto debe ser iguala la cantidad total del dinero gastado($10).

La respuesta es C.

2. Usen los círculos y los rótulos siguientescomo ayuda para resolver la siguienteecuación:

5n � 35

A n � 5

B n � 7

C n � 175

D n �

Solución 2. Ayuda: Deben dividir las marcas de

conteo equitativamente entre los 5círculos. La respuesta será el número demarcas de conteo en cada círculo. Estofunciona, pues para resolver unaecuación de multiplicación, se realiza lafunción inversa, que es división.

Las marcas de conteo se dividenequitativamente en 5 grupos de 7.

La respuesta es B.

1�7

n�2.5

3

Doblen la página a lo largo de las líneas punteadas. Resuelvan cada problema en otra hoja de papel. Luego, desdoblen la página y revisen las respuestas.

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NAME ________________________________________ DATE ______________ PERIOD _____

Anticipation GuideAlgebra: Linear Equations and Functions


3

Before you begin Chapter 3

• Read each statement.• Decide whether you Agree (A) or Disagree (D) with the statement.• Write A or D in the first column OR if you are not sure whether you agree

or disagree, write NS (Not Sure).

After you complete Chapter 3

• Reread each statement and complete the last column by entering an A (Agree)or a D (Disagree).

• Did any of your opinions about the statements change from the first column?• For those statements that you mark with a D, use a separate sheet of paper to

explain why you disagree. Use examples, if possible.

Step 1

Step 2

STEP 1 STEP 2

A, D, or NSStatement

A or D

1. The words difference, less than, and decreased by in a problemsuggest subtraction.

2. The words twice, per, and separate in a problem suggest multiplication.

3. Twice a number less than 3 is the same as 2n � 3.

4. Addition and subtraction are inverse operations.

5. The Addition Property of Equality states that if the same number is added to both sides of an equation, the two sides will remain equal.

6. To solve the equation 2.4t � 12, multiply both sides of the equation by 2.4.

7. To solve the equation 6x � 4 � 20, you would first divide both sides of the equation by 6.

8. The formula for the area of a rectangle is A � � � w.

9. To graph the equation y � 4x, substitute one value for x and solve for y.

10. An equation whose graph is a straight line is called a linear equation.

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Ejercicios preparatoriosÁlgebra: Ecuaciones lineales y funciones

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PASO 2

PASO 1

PASO 1 PASO 2

A, D o NSEnunciado

A o D

1. En un problema, las palabras diferencia, menos que y disminuido por sugieren sustracción.

2. En un problema, las palabras dos veces, por y separa sugieren multiplicación.

3. El doble de un número menor que 3 es lo mismo que 2n � 3.

4. La adición y la sustracción son operaciones inversas.

5. La propiedad de adición de la igualdad establece que si un mismo número se suma a ambos lados de una ecuación, los dos lados permanecerán inalterados.

6. Para resolver la ecuación 2.4t � 12, multiplica ambos lados de la ecuación por 2.4.

7. Para resolver la ecuación 6x � 4 � 20, primero dividirías ambos lados de la ecuación entre 6.

8. La fórmula para el área de un rectángulo es A � � � w.

9. Para graficar la ecuación y � 4x, reemplaza un valor para x y despeja y.

10. Una ecuación cuya gráfica es una recta se llama ecuaciónlineal.

Antes de comenzar el Capítulo 3

• Lee cada enunciado.

• Decide si estás de acuerdo (A) o en desacuerdo (D) con el enunciado.

• Escribe A o D en la primera columna O si no estás seguro(a) de la respuesta,escribe NS (No estoy seguro(a).

Después de completar el Capítulo 3

• Vuelve a leer cada enunciado y completa la última columna con una A o una D.

• ¿Cambió cualquiera de tus opiniones sobre los enunciados de la primera columna?

• En una hoja de papel aparte, escribe un ejemplo de por qué estás en desacuerdo con losenunciados que marcaste con una D.

NOMBRE ______________________________________ FECHA ____________ PERÍODO ___


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NAME ________________________________________ DATE ______________ PERIOD _____

Get Ready for the LessonRead the introduction at the top of page 128 in your textbook.Write your answers below.

1. What operation would you use to find how many moons Saturn has?Explain.

2. Jupiter has about three times as many moons as Uranus. What operationwould you use to find how many moons Jupiter has?

Read the Lesson3. Write the symbol that each word or phrase represents.

4. Give two examples of a word or phrase that can suggest each operation.

5. Write a verbal sentence for each equation.

Remember What You Learned6. Work with a partner. Write down four or five real life math situations as

sentences. Trade papers with your partner. Translate your partner’ssentences into symbols.

Lesson Reading GuideWriting Expressions and Equations

Equation Verbal Sentence

2x � 5 � �3

10 � a � 6

r � 9 � 7

Operation Words

�

�

�

�

Symbol Words

more than

is

quotient

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NAME ________________________________________ DATE ______________ PERIOD _____

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The table below shows phrases written as mathematical expressions.

The table below shows sentences written as an equation.

Write each phrase as an algebraic expression.

1. 7 less than m 2. the quotient of 3 and y

3. the total of 5 and c 4. the difference of 6 and r

5. n divided by 2 6. the product of k and 9

Write each sentence as an algebraic equation.

7. A number increased by 7 is 11.

8. The price decreased by $4 is $29.

9. Twice as many points as Bob would be 18 points.

10. After dividing the money 5 ways, each person got $67.

11. Three more than 8 times as many trees is 75 trees.

12. Seven less than a number is 15.

Study Guide and InterventionWriting Expressions and Equations

Phrases Expression Phrases Expression

9 more than a numberthe sum of 9 and a numbera number plus 9a number increased by 9the total of x and 9

x � 9

4 subtracted from a numbera number minus 44 less than a numbera number decreased by 4the difference of h and 4

h � 4

Phrases Expression Phrases Expression

6 multiplied by g6 times a numberthe product of g and 6

6ga number divided by 5the quotient of t and 5divide a number by 5

�5t�

Sentences Equation

Sixty less than three times the amount is $59.Three times the amount less 60 is equal to 59.59 is equal to 60 subtracted from three times a number.A number times three minus 60 equals 59.

3n � 60 � 59

Exercises


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NAME ________________________________________ DATE ______________ PERIOD _____


1. b plus 1 2. three more than x

3. twelve minus y 4. seven less than n

5. five years younger than Jessica 6. a number less eleven

7. four increased by a 8. eight dollars more than m

9. the product of c and 10 10. twice as many days

11. three times as many soft drinks 12. t multiplied by 14

13. Emily’s age divided by 3 14. 24 divided by some number

15. a number divided by 2 16. the quotient of �15 and w


17. A number plus three is 9. 18. The sum of x and 2 is 10.

19. Four cents more than the price is 93¢. 20. Fifteen minus y is 7.

21. A number decreased by 5 is 12. 22. Five dollars less than Yumi’s pay is $124.

23. A number times four is 20. 24. Twice the number of cars is 40.

25. The product of z and 6 is 54. 26. A number divided by 6 is 12.

27. 72 divided by y is �9. 28. 175 students separated into n classes is 25.

29. One more than twice as many CDs is 17.

30. Four less than three times a number is 14.

Skills PracticeWriting Expressions and Equations

Less

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1. the product of �5 and x 2. twenty increased by k

3. five inches more than the height 4. one fourth of y

5. Bill’s weight decreased by eighteen 6. the quotient of 3 and a number

7. five less than four times as many women 8. $60 more than the rent payment

9. 9 minutes less than Chang’s time 10. three more pancakes than his brother ate


11. Five times the number of books is 95. 12. The difference of nine and a number is nine.

13. The sum of the average and four is �6. 14. Three meters longer than the pool is 8.

15. Twelve less a number is 40. 16. The product of seven and Lynn’s age is 28.

For Exercises 17 and 18, write an equation that models eachsituation.

17. FURNITURE The width of a bookshelf is 2 feet shorter than the height. If the width is1.5 feet, what is the height of the bookshelf?

18. SPORTS The circumference of a basketball, the distance around, is about three timesthe circumference of a softball. If the circumference of the basketball is 75 centimeters,what is the circumference of a softball?

GEOMETRY For Exercises 19 and 20, describe the relationship that exists between the base and the height of each triangle.

19. The base is b, and the height is b � 4.

20. The height is h, and the base is 2h.

PracticeWriting Expressions and Equations

height

base


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NAME ________________________________________ DATE ______________ PERIOD _____

OLYMPICS For Exercises 1–4, use the table that shows the number ofmedals won by each country in the 2006 Winter Olympics.

Let x represent the number of medals won by Italy.

Word Problem Practice Writing Expressions and Equations

1. Write an expression using x torepresent the number of medals won by Norway.

2. Write an expression using x torepresent the number of medals won by the Czech Republic.

3. Which country’s number of medals canbe represented by 2x?

4. Which country’s number of medals canbe represented by 2x � 3?

5. GEOGRAPHY The Virgin Islands wereacquired by the United States in 1927.This is 29 years after Puerto Rico wasacquired. Write an equation to modelthis situation.

6. POPULATION According to the CensusBureau, the U.S. population grew from281.4 million in April 2000 to 284.8million in July 2001. Write an equationto model this situation.

2006 Winter Olympic Medals

Country Medals Country Medals Country Medals

GermanyUSACanadaAustriaRussia

2925242322

NorwaySwedenSwitzerlandKoreaItaly

1914141111

China FranceNetherlandsFinlandCzech Republic

119994

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NAME ________________________________________ DATE ______________ PERIOD _____

Figurate numbers are numbers that can be shown with dots arranged inspecific geometric patterns. Below are the first five square numbers.

The expression n2 will give you the number of dots in the nth square number.The variable n takes on the values 1, 2, 3, 4, and so on. So, to find the 10thsquare number, you would use 10 for n.

1. Match each set of dot patterns with its name and expression. Writeexercise numbers in the boxes to show the matchings.

a.

b.

c.

Use the algebraic expressions on this page to compute each number.Then make a drawing of the number on a separate sheet of paper.

2. 6th square 3. 4th triangular 4. 4th pentagonal

5. 4th hexagonal 6. 5th triangular 7. 5th pentagonal

EnrichmentExpressions for Figurate Numbers

Dot Patterns for Second and Third Numbers

Name of Figurate Number Expression

pentagonal n(2n � 1)

hexagonal �n(n

2� 1)�

triangular �n(3n

2� 1)�


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NAME ________________________________________ DATE ______________ PERIOD _____


1. What does x represent in the figure?

2. What addition equation is shown in the figure?

3. Explain how to solve the equation.

4. How many games did Max have in the beginning?

Read the Lesson5. Match the method of solving with the appropriate equation.

x � 5 � 9 a. add 2 to each side

�2 � y � 1 b. add 5 to each side

5 � m � 1 c. subtract 5 from each side

r � 9 � �7 d. add 1 to each side

k � 5 � �2 e. subtract 9 from each side

6. Explain in words how to solve each equation.

a � 10 � 3

4 � t � �12

18 � n � 7

7. Solve each equation.

a. w � 23 � �11 b. 35 � z � 15 c. 42 � c � �9

Remember What You Learned 8. Take turns with a partner explaining the Addition and Subtraction

Properties of Equality in your own words. Then each of you write twoaddition and two subtraction equations. Trade equations and solve. Checkyour work by explaining to each other the method you used to solve theequations.

Lesson Reading GuideSolving Addition and Subtraction Equations

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Solve x � 5 � 11. Check your solution.

x � 5¬� 11 Write the equation.� 5¬� �5 Subtract 5 from each side.

x ¬� 6 Simplify.

Check x � 5¬� 11 Write the equation.6 � 5¬� 11 Replace x with 6.

11¬� 11 ✓ This sentence is true.

The solution is 6.

Solve 15 � t � 12. Check your solution.

15¬� t � 12 Write the equation.�12¬� �12 Add 12 to each side.

27¬� t Simplify.

Check 15¬� t � 12 Write the equation.15¬� 27 � 12 Replace t with 27.15¬� 15 ✓ This sentence is true.

The solution is 27.

Solve each equation. Check your solution.

1. h � 3 � 14 2. m � 8 � 22 3. p � 5 � 15 4. 17 � y � 8

5. w � 4 � �1 6. k � 5 � �3 7. 25 � 14 � r 8. 57 � z � 97

9. b � 3 � 6 10. 7 � c � 5 11. j � 12 � 18 12. v � 4 � 18

13. �9 � w � 12 14. y � 8 � �12 15. 14 � f � 2 16. 23 � n � 12

Remember, equations must always remain balanced. If you subtract the same number from each sideof an equation, the two sides remain equal. Also, if you add the same number to each side of anequation, the two sides remain equal.

Study Guide and InterventionSolving Addition and Subtraction Equations

Example 1

Example 2

Exercises


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NAME ________________________________________ DATE ______________ PERIOD _____


1. x � 2 � 8 2. y � 7 � 9 3. a � 5 � 12

4. 16 � n � 6 5. q � 10 � 22 6. m � 9 � 17

7. b � 4 � 9 8. 8 � c � 4 9. 11 � t � 7

10. d � 10 � 8 11. x � 11 � 9 12. 2 � z � 14

13. 72 � 24 � w 14. 86 � y � 99 15. 6 � y � �8

16. �5 � m � 11 17. n � 3.5 � 6.7 18. x � 1.6 � 0.8

19. 98 � t � 18 20. 12 � g � 56 21. x � 18 � �2

22. p � 11 � �5 23. a � 1.5 � 4.2 24. 7.4 � n � 2.6

Skills PracticeSolving Addition and Subtraction Equations

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1. a � 4 � 11 2. 6 � g � 8 3. x � 3 � �2

4. k � 8 � 3 5. j � 0 � 9 6. 12 � y � 15

7. h � 4 � 0 8. m � 7 � 1 9. w � 5 � 4

10. b � 28 � 33 11. 45 � f � 48 12. n � 7.1 � 8.6

13. �14 � t � 26 14. d � 3.03 � 2 15. 10 � z � 15

16. c � 5.3 � �6.4 17. 35 � p � 77 18. �15 � �15 � u

For Exercises 19 and 20, write an equation. Then solve the equation.

19. CAFFEINE A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee?

20. GEOMETRY The sum of the measures of the angles of a trapezoid is 360�. Find the missing measure.

PracticeSolving Addition and Subtraction Equations

80˚

100˚ 110˚

d ˚


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NAME ________________________________________ DATE ______________ PERIOD _____

ANIMALS For Exercises 1–4, use the table.

The average lifespans of several different types of animals are shown in the table.

Word Problem PracticeSolving Addition and Subtraction Equations

1. The lifespan of a black bear is 3 yearslonger than the lifespan of a zebra.Write an addition equation that youcould use to find the lifespan of a zebra.

2. Solve the equation you wrote inExercise 1. What is the lifespan of a zebra?

3. The lifespan of a guinea pig is 8 yearsshorter than the lifespan of a puma.Write a subtraction equation that you could use to find the lifespan of a puma.

4. Solve the equation you wrote inExercise 3. What is the lifespan of a puma?

5. TECHNOLOGY A survey of teens showedthat teens in Pittsburgh aged 12-17spend 15.8 hours per week online.Teens in Miami/Ft. Lauderdale spend14.2 hours per week online. Write andsolve an addition equation to find thedifference in time spent online by teensin these cities.

6. SPORTS Annika Sorenstam won the2006 MasterCard Classic with a finalscore of 8 under par, or �8. Her scoresfor the first two of the three roundswere �5 and �1. What was Ms.Sorenstam’s score for the third round?

Average Lifespans of Animals

Animal Lifespan (yr) Animal Lifespan (yr)

Black BearDogGiraffeGray Squirrel

18121010

Guinea PigPumaTigerZebra

4?

16?

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NAME ________________________________________ DATE ______________ PERIOD _____

This figure is called a hexa-maze because each cell has the shape of ahexagon, or six-sided figure.

To solve the maze, start with the number in the center. This number is thesolution to the equation in one of the adjacent cells. Move to that cell. Thenumber in the new cell will then be the solution to the equation in the nextcell. At each move, you may only move to an adjacent cell. Each cell is usedonly once.

n � 3.7 � 7

11

90 � n � 30

3.3

0.7n � 4 � 0.9

� 6 � n

3 � 4.5 � n

3.3n � 36.3

1.1

21 � 12n � 13

40

� 0.1 � 0

7

9 � n �

�0.2

n � 4.5 � 10

1.5

19 � n � 17.9

1.5

43 � n � 41.5

4

Start Here

40

5n � �2

� 66

5.5

0

14 � 0.5n � 6

5

� � �

�0.4

�6n � 5 � 1

100

75n � �50

20

40 � 40 � n

End

n � 11� 16

1.5

5.2 � n � 3.7

7

29.2 � 36.2 � n

11

�15 � 5 �

32

23

92

23

14

23

n12

� � 23

n5

23

13

n4

23

n0.3

92

n2

32

92

�

EnrichmentEquation Hexa-maze


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NAME ________________________________________ DATE ______________ PERIOD _____

A calculator may be helpful for solving addition and subtractionequations with decimals.

Solve k � 0.009 � 8.1.

k � 0.009 � 0.009 � 8.1 � 0.009k � 8.1 � 0.009

Enter: 8.1 0.009 8.091

So, k � 8.091.

Solve 12.346 � y � 7.29.

12.346 � 7.29 � y � 7.29 � 7.2912.346 � 7.29 � y

Enter: 12.346 7.29 19.636

So, y � 19.636.

Solve each equation.

1. k � 0.4 � 13 2. 3.7 � y � 9.6

3. b � 50.67 � 84 4. x � 0.82 � 9.1

5. 17.5 � m � 12.34 6. 3.211 � c � 54

7. 64.25 � g � 90.2 8. 17.9 � w � 8.7

9. 98.7 � n � 100 10. 27.91 � 8.2 � v

11. 87.7 � 3.001 � r 12. f � 9.0 � 10.0001

13. 67.1 � d � 67.1 14. 345 � j � 121.9

15. CHALLENGE Each week for eight weeks, Mr. Patel’s sales commission increased hisprevious week’s commission by $14.40. In the eighth week, his commission was $336.84.What was his commission eight weeks before this?

ENTER

�+

ENTER

�—

Scientific Calculator ActivitySolving Equations

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Exercises

Example 1

Example 2


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NAME ________________________________________ DATE ______________ PERIOD _____

Get Ready for the LessonComplete the Mini Lab at the top of page 142 in your textbook.Write your answers below.Solve each equation using models or a drawing.

1. 2.

3. 4x � 20 4. 8 � 2x 5. 3x � �9

6. What operation did you use to find each solution?

7. How can you use the coefficient of x to solve 8x � 40?

Read the Lesson8. Complete each sentence.

a. To solve 4x � 36, divide each side by ________.

b. To solve �27 � �3d, divide each side by ________.

c. To solve 15h � �75, divide each side by ________.

d. To solve �8a � 96, divide each side by ________.

9. Write and solve two different equations that both require you to divideeach side by �2 in order to solve.

Remember What You Learned10. In your own words, define the Division Property of Equality. Describe a

real-life situation in which you may need to use the Division Property ofEquality.

Lesson Reading GuideSolving Multiplication Equations

1 1 1 1

1 1 1 1

1 1 1 1

x

x

x

3x � 12

�

�1 �1 �1

�1 �1 �1

�1 �1

x

x

2x � �8

�


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NAME ________________________________________ DATE ______________ PERIOD _____

Solve 45 � 5x. Check your solution.

45¬� 5x Write the equation.

�455�¬� �

55x� Divide each side of the equation by 5.

9¬� x 45 � 5 � 9

Check 45 � 5x Write the original equation.45 � 5(9) Replace x with 9. Is this sentence true?45 � 45 ✓

The solution is 9.

Solve �21 � �3y. Check your solution.

�21 � �3y Write the equation.

��231

� � ��

33y

� Divide each side by �3.

7 � y �21 � (�3) � 7

Check �21¬� �3y Write the original equation.�21¬� �3(7) Replace y with 7. Is this sentence true?�21¬� �21 ✓

The solution is 7.

Solve each equation. Then check your solution.

1. 8q � 56 2. 4p � 32 3. 42 � 6m 4. 104 � 13h

5. �6n � 30 6. �18x � 36 7. 48 � �8y 8. 72 � �3b

9. �9a � �45 10. �12m � �120 11. �66 � �11t 12. �144 � �9r

13. 3a � 4.5 14. 2h � 3.8 15. 4.9 � 0.7k 16. 9.75 � 2.5z

If each side of an equation is divided by the same non-zero number, the resulting equation is equivalent to the given one. You can use this property to solve equations involving multiplication and division.

Study Guide and InterventionSolving Multiplication Equations

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Exercises

Example 1

Example 2


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NAME ________________________________________ DATE ______________ PERIOD _____


1. 4c � 16 2. 10x � 50 3. 42 � 6s

4. 9c � 45 5. 49 � 7y 6. 11t � 44

7. 15a � 60 8. 72 � 12c 9. 18x � 162

10. 14d � 154 11. 24z � 288 12. 16v � 256

13. �5b � 40 14. 32 � �2f 15. �9x � �63

16. 4g � �52 17. �5x � �85 18. �63 � 7a

19. 0.6m � 1.8 20. 1.5z � 6 21. 0.6q � 3.6

22. 1.8a � 0.9 23. 1.2r � 4.8 24. 2.4 � 0.2t

Skills Practice Solving Multiplication Equations


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NAME ________________________________________ DATE ______________ PERIOD _____C

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1. 8e � 32 2. 4v � �8 3. 7k � �7

4. 18 � 3y 5. 4j � 0 6. �11x � �44

7. 5a � 5 8. �1c � 8 9. 15 � 5b

10. �2w � �14 11. 9f � 45 12. 13m � �26

13. 1.4t � 2.8 14. 0.9g � 5.4 15. 2.5 � 0.5h

16. 3.74 � 1.7d 17. 4.1z � 16.81 18. 5.2q � 3.64

For Exercises 19 and 20, write an equation. Then solve the equation.

19. TRAVEL A cheetah can travel at an amazing speed of 32 meters per second whenchasing its prey. At that rate, how long would it take the cheetah to run 2,000 meters?

20. AUTO LOAN Mrs. Kim borrowed $1,350 to buy a used automobile. If she repays $75 a month, how many months will it take to pay back the loan?

Practice Solving Multiplication Equations

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3-3 Word Problem PracticeSolving Multiplication Equations

1. TRAVEL The speed limit on an Arizonahighway is 75 miles per hour. Supposea truck traveling at the speed limitdrives 225 miles before the driver stopsfor a break. Write a multiplicationequation to find the length of time thetruck has traveled.

2. TRAVEL Solve the equation you wrote inExercise 1. How long did the trucktravel?

3. FLOWERS A gardening expertrecommends that flower bulbs beplanted to a depth of three times theirheight. Suppose Jenna determines thata certain bulb should be planted at adepth of 4.5 inches. Write amultiplication equation to find theheight of the bulb.

4. FLOWERS Solve the equation you wrotein Exercise 3. What is the height of thebulb?

5. EXERCISE A 125-pound person uses 4.4 Calories per minute when walking.Write a multiplication equation to findthe number of minutes of walking itwill take for a 125-pound person to use198 Calories.

6. EXERCISE Solve the equation you wrotein Exercise 5. How many minutes ofwalking it will take for a 125-poundperson to use 198 Calories?

7. ELECTRICITY The electric companycharges $0.06 per kilowatt hour ofelectricity used. Write a multiplicationequation to find the number of kilowatthours of electricity for which theEstevez family was charged if theirelectric bill was $45.84.

8. ELECTRICITY Solve the equation youwrote in Exercise 7. For how manykilowatt hours of electricity was theEstevez family charged?


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Equations of the form y � ax and y � x � a can be used to show how onequantity varies with another. Here are two examples.

Driving at a speed of 50 miles per hour, the distance you travel d varies d � 50tdirectly with the time you are one the road t. The longer you drive, the farther you get.

It is also the case that the time t varies directly with the distance d. t � �5d0�

The farther you drive, the more time it takes.

Complete the equation for each situation. Then describe therelationship in words.

1. If you go on a diet and lose 2 pounds a month, after a certain number of months m, you will have lost p pounds.

2. You and your family are deciding between two different places for your summer vacation. You plan to travel by car and estimate you will average 55 miles per hour. The distance traveled d will result in a travel time of t hours.

3. You find that you are spending more than you had planned on renting video movies. It costs $2.00 to rent each movie. You can use the total amount spent a to find the number of movies you have rented m.

4. You spend $30 a month to take the bus to school. After a certain number of months m, you will have spent a total of dollars d on transportation to school.

5. You are saving money for some new athletic equipment and have 12 weeks before the season starts. The amount you need to save each week s will depend on the cost c of the equipment you want to buy.

EnrichmentDirect Variation

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Example 1


Jonah put half of his birthday money into his savings account.Then he paid back the $10 that he owed his brother for dance tickets. Lastly, hespent $3 on lunch at school. At the end of the day he was left with $12. How muchmoney did Jonah receive for his birthday?

Understand You know that he had $12 left and the amounts he spent throughout the day. You need tofind out how much money he received for his birthday.

Plan Start with the amount of money he was left with and work backward.

Solve He had $12 left. 12Undo the $3 he spent on lunch. � 3

15Undo the $10 he gave back to his brother � 10

25Undo the half put into his savings account 2So, Jonah received $50 for his birthday. 50

Check Assume that Jonah receive $50 for his birthday. After putting half into his savings accounthe had $50 � 2 or $25. Then he gave $10 to his brother for dance tickets, so he had $25 � $10 or $15. Lastly, he spent $3 on lunch at school, so he had $15 � $3, or $12.So, our answer of $50 is correct.

Solve each problem by using the work backward strategy.

1. On Monday everyone was present in Mr. Miller’s class. At 12:00, 5 students left early fordoctors’ appointments. At 1:15, half of the remaining students went to an assembly.Finally, at 2:00, 6 more students left for a student council meeting. At the end of theday, there were only 5 students in the room. Assuming that no students returned afterhaving left, how many students are in Mr. Miller’s class?

2. Jordan was trading baseball cards with some friends. He gave 15 cards to Tommy and got 3 back. He gave two-thirds of his remaining cards to Elaine and kept the restfor himself. When he got home he counted that he had 25 cards. How many baseballcards did Jordan start with?

By working backward from where you end to where you began, you can solve problems. Use the four-step problem solving model to stay organized when working backward.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionProblem-Solving Investigation: Work Backward

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Exercises


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Solve. Use the work backward strategy

1. GOVERNMENT There are 99 members in the Ohio House of Representatives. All of themwere present when a vote was taken on a piece of legislation. If 6 of them did not vote,and 13 more voted “yes” than voted “no”, how many “no” votes were there?

2. MONEY Jessie and Amar eat lunch at a restaurant and their bill is $21.65. Amar givesthe cashier a coupon for $6 off their bill, and also hands the cashier two bills. If hereceives $4.35 in change, what were the denominations of the two bills he gave thecashier?

3. AGE Justine is 13 years younger than her uncle Stewart. Stewart is 18 years older thanJustine’s sister, Julia. Julia's mother is 8 year older than Stewart, and 28 years olderthan her youngest child, Jared. If Jared is 12 years old, how old is Justine?

4. NUMBER THEORY A number is divided by 6. Then 7 is added to the divisor. Afterdividing by 4, the result is 4. What is the number?

5. COMPACT DISCS Carmella borrowed half as many CDs from the library as her friendAriel. Ariel borrowed 2 more than Juan, but four less than Sierra. Sierra borrowed 12CDs. How many did each person borrow?

6. TIME Ashish needs to leave for the bus stop 15 minutes earlier than his friend Rami.Rami leaves five minutes later than Susan, but 10 minutes earlier than Raphael. IfRaphael leaves for the bus stop at 8:15, what time does Ashish need to leave?

Skills Practice Problem-Solving Investigation: Work Backward


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Use the work backward strategy tosolve Exercises 1 and 2.

1. NUMBER THEORY A number is dividedby 5. Then 3 is added to the quotient.After subtracting 10, the result is 30.What is the number?

2. COUPONS Kendra used 35 cents morein coupons at the store than Leanne.Leanne used 75 cents less thanTeresa, who used 50 cents more thanJaclyn. Jaclyn used 40 cents incoupons. What was the value of thecoupons Kendra used?

Use any strategy to solve Exercises3–6. Some strategies are shown below.

3. PATTERNS What are the next threenumbers in the following pattern?

2, 3, 5, 9, 17, 33, . . .

4. AGES Mr. Gilliam is 3 years youngerthan his wife. The sum of their ages is95. How old is Mr. Gilliam?

5. GRAND CANYON The elevation of theNorth Rim of the Grand Canyon is2,438 meters above sea level. TheSouth Rim averages 304 meters lowerthan the North Rim. What is theaverage elevation of the South Rim?

6. WATER BILL The water companycharges a residential customer $41 forthe first 3,000 gallons of water usedand $1 for every 200 gallons usedover 3,000 gallons. If the water billwas $58, how many gallons of waterwere used?

NAME ________________________________________ DATE ______________ PERIOD _____

PracticeProblem-Solving Investigation: Work Backward

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3-4

Mixed Problem Solving

PROBLEM-SOLVING STRATEGIES� Look for a pattern

� Guess and check.

� Work backward


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3-4 Word Problem PracticeProblem-Solving Investigation: Work Backward

1. What was the temperature on Monday? 2. Estimate the average temperature forthe time period from Saturday toMonday.

3. How many degrees cooler was thetemperature on Friday than Monday?

4. How much money should she take topurchase the items contained in thetable?

5. If Shelly has $24.00 in her purse beforeshe goes to the store, how much willshe have left after she shops?

7. NUMBER THEORY How many differenttwo-digit numbers can you make usingthe numbers 3, 7, 9, and 2 if no digit isrepeated within a number?

6. If Preston pays Shelly for half the costof the groceries, how much does he pay?

8. PATTERNS The following numbers followa pattern: 2, 8, 32, 128. What wouldthe fifth number in the pattern be?

For Exercises 1-3, use theinformation below.

WEATHER The temperature in Columbus,Ohio on Monday is 35 degrees warmerthan it was on Sunday. Saturday’stemperature was 7 degrees cooler thanSunday’s. At 45 degrees, Friday’stemperature was 22 degrees warmer thanSaturday’s.

For Exercises 4-6, referto the table below.

MONEY Shelly needsto go to the grocerystore to get someitems for a dinnerparty she is hostingwith her brotherPreston.

Green Pepper $1.79

Flank Steak $8.54

Wild Rice $3.29

Romaine Lettuce $3.79

Cucumber $0.99

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3-5 Lesson Reading GuideSolving Two-Step Equations

Get Ready for the LessonComplete the Mini Lab at the top of page 151 in your textbook.Write your answers below.Solve each equation using models or a drawing.

1. 2x � 1 � 5 2. 3x � 2 � 8 3. 2 � 5x � 2

Read the Lesson4. Describe in words each step shown for solving the equation.

12 � 7s � �912 � 7s � �9

�12 � �12

7s � �21

�77s� � �

�721�

s � �3

5. Number the steps in the correct order for solving the equation �4v � 11 � �5.

Simplify. Write the equation.

Divide each side by �4. Simplify.

Subtract 11 from each side. Check the solution.

6. Check the solution given for each equation. If it is correct, write correct.If it is incorrect, solve to show the correct solution.

a. 9a � 2 � �25; a � �4 b. �6f � 10 � 32; f � �7 c. �18 � 3n � 21; n � 9

Remember What You Learned7. In your own words, describe the steps necessary to solve a two-step

equation. Will these steps work for all two-step equations?


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3-5

Solve 7v � 3 � 25. Check your solution.

7v � 3 � 25 Write the equation.�3 � �3 Add 3 to each side.

7v � 28 Simplify.

�77v� � �

278� Divide each side by 7.

v � 4 Simplify.

Check 7v � 3¬� 25 Write the original equation.7(4) � 3¬� 25 Replace v with 4.

28 � 3¬� 25 Multiply.25¬� 25 ✓ The solution checks.

The solution is 4.

Solve �10 � 8 � 3x. Check your solution.

�10¬� 8 � 3x Write the equation.�8¬� �8 Subtract 8 from each side.

�18¬� 3x Simplify.

��

318�¬� �

33x� Divide each side by 3.

�6¬� x Simplify.

Check �10¬� 8 � 3x Write the original equation.�10¬� 8 � 3(�6) Replace x with �6.�10¬� 8 � (�18) Multiply.�10¬� �10 ✓ The solution checks.

The solution is �6.


1. 4y � 1 � 13 2. 6x � 2 � 26 3. �3 � 5k � 7 4. 6n � 4 � �26

5. 7 � �3c � 2 6. �8p � 3 � �29 7. �5 � �5t � 5 8. �9r � 12 � �24

9. 11 � 7n � 4 10. 35 � 7 � 4b 11. 15 � 2p � 9 12. 49 � 16 � 3y

13. 2 � 4t � 14 14. �9x � 10 � 62 15. 30 � 12z � 18 16. 7 � 4g � 7

17. 24 � 9x � �3 18. 50 � 16q � 2 19. 3c � 2.5 � 4.1 20. 9y � 4.8 � 17.4

To solve two-step equations, you need to add or subtract first. Then divide to solve the equation.

Study Guide and InterventionSolving Two-Step Equations

Less

on

3–5

Exercises

Example 1

Example 2


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3-5 Skills PracticeSolving Two-Step Equations


1. 2x � 1 � 9 2. 5b � 2 � 17

3. 3w � 5 � 23 4. 8n � 1 � 25

5. 4t � 2 � 14 6. 7k � 3 � 32

7. 8x � 1 � 63 8. 2x � 5 � 15

9. 3 � 6v � 45 10. 9 � 4b � 17

11. 2p � 14 � 0 12. 3y � 10 � �2

13. 3w � 5 � 2 14. 8x � 7 � �9

15. 5d � 1 � �11 16. 4d � 35 � �3

17. 11x � 24 � �2 18. 15a � 54 � �9

19. 3g � 49 � �7 20. �2x � 4 � 8

21. �9d � 1 � 17 22. �4f � 1 � 13

23. �5b � 24 � �1 24. �6x � 4 � �2


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1. 4h � 6 � 30 2. 7y � 5 � � 9 3. �3t � 6 � 0

4. �8 � 8g � 56 5. 5k � 7 � �7 6. 19 � 13x � 32

7. �5b � 12 � �2 8. �1n � 1 � 11 9. 9f � 15 � 51

10. 5d � 3.3 � 7.2 11. 3 � 0.2m � 7 12. 1.3z � 1.5 � 5.4

13. KITTENS Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. Ifa kitten weighed 100 grams at birth and gained 8 grams per day, in how many days willthe kitten triple its weight?

14. TEMPERATURE Room temperature ranges from 20°C to 25°C. Find the range of roomtemperature in °F. Use the formula, F � 32 � 1.8C, to convert from the Celsius scale tothe Fahrenheit scale.

PracticeSolving Two-Step Equations


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3-5 Word Problem PracticeSolving Two-Step Equations

1. GOLF It costs $12 to attend a golf clinicwith a local pro. Buckets of balls forpractice during the clinic cost $3 each.How many buckets can you buy at theclinic if you have $30 to spend?

2. MONEY Paulo has $145 in his savingsaccount. He earns $36 a week mowinglawns. If Paulo saves all of hisearnings, after how many weeks will hehave $433 saved?

3. RETAIL An online retailer charges $6.99plus $0.55 per pound to ship electronicspurchases. How many pounds is a DVDplayer for which the shipping charge is$11.94?

4. MONEY Caitlin has a $10 giftcertificate to the music store. She haschosen a number of CDs from the $7bargain bin. If the cost of the CDs is$32 after the gift certificate is credited,how many CDs did Caitlin buy?

5. EMPLOYMENT Mrs. Jackson earned a$500 bonus for signing a one-yearcontract to work as a nurse. Her salaryis $22 per hour. If her first week’s checkincluding the bonus is $1,204, howmany hours did Mrs. Jackson work?

6. PHOTOGRAPHY Morgan subscribes to awebsite for processing her digitalpictures. The subscription is $5.95 permonth and 4 by 6 inch prints are $0.19each. How many prints did Morganpurchase if the charge for January was$15.83?


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3-5

Equations with Like TermsSome equations contain two or more expressions that are called like terms.For example, in the equation 3a � 2a � 4 � 14, the expressions 3a and 2a arelike terms. When you see like terms, you can combine them into oneexpression.

3a � 2a � 5a

When you solve an equation containing like terms, combine them first beforecontinuing to solve the equation. To solve 3a � 2a � 4 � 14, proceed asfollows.

3a � 2a � 4¬� 14Combine like terms.

5a � 4¬� 145a � 4 � 4¬� 14 � 4

5a¬� 10

�55a�¬� �

150�

a � 2

Solve each equation. Then locate the solution on the number linebelow. Place the letter corresponding to the answer on the line at theright of the exercise.

1. 3x � 4x � 3 � �39

2. �3x � 2 � 5x � 12

3. �5 � 4x � 7x � 1

4. ��12�x � 6x � 2 � 20

5. �2.4x � 1.2 � 1.2x � 4.8

6. �13�(6 � x) � �1

7. 1 � ��14�x � 5 � �

34�x

8. 7x � (�2x) � x � 42

9. �25�(5x � 5x) � �20

�2 �1 0 2 3�3�4�5�6�7�8�9 1 4 5 6 7 8 9

W I H F L J O P N V G C D T M K A B R

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3-6


1. If the students run around the gym 5 times, how far would they run?

2. Explain how you can use both multiplication and addition to find the distance.

Read the Lesson3. Explain in your own words what the formula p � 2 � 2w means?

4. How is the perimeter of a figure different from the area of the figure?

5. Explain how to find the perimeter and area of a rectangle whose length is8 feet and whose width is 2 feet.

.

Remember What You Learned6. The word perimeter comes from two Greek words that mean “a measure

(metron) around (peri).” Tell how you can find the perimeter of arectangle.

Lesson Reading GuideMeasurement: Perimeter and Area


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Find the perimeter of the figure at right.

P � 105 � 105 � 35 � 35 or 280

The perimeter is 280 inches.

Find the area of the rectangle.

A � � w� 24 12 or 288

The area is 288 square centimeters.

Find the perimeter of each figure.1. 2.

Find the perimeter and area of each rectangle.

3. 4.

5. � � 8 ft, w � 5 ft 6. � � 3.5 m, w � 2 m

7. � � 8 yd, w � 4�13� yd 8. � � 29 cm, w � 7.3 cm

3 in.

11 in.9 ft

4 ft

14 m

42 m33 cm

7 cm

The measure of the surface enclosed by a geometric figure is called the area.

The area of a rectangle is the product of the length � and width w.

A � � w

Study Guide and InterventionMeasurement: Perimeter and Area

The distance around a geometric figure is called the perimeter.

To find the perimeter of any geometric figure, you can use addition or a formula.

The perimeter of a rectangle is twice the length � plus twice the width w.

P � 2� � 2w

105 ft

35 ft

24 cm

12 cm

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Exercises

Example 1

Example 2


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3-6 Skills Practice Measurement: Perimeter and Area

Find the perimeter of each figure.

1. 2.

3. 4.

Find the perimeter and area of each rectangle.

5. 6.

7. 8.

9. � � 6 yd, w � 4 yd 10. � � 8.2 m, w � 7.1 m

11. � � 50 in., w � 10 in. 12. � � 10 cm, w � 4�12� cm

13. � � 4.5 ft, w � 3 ft 14. � � 7�12� mm, w � 6�

38� mm

8 cm

15 cm

6 m

30 m

20 cm

20 cm

5 yd

15 yd

92 in.

18 in.

10 yd

10 yd

9 yd9 yd

9 m

9 m

8 cm

38 cm


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PracticeMeasurement: Perimeter and Area


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Find the perimeter of each rectangle.

1. 2. 3.

Find the area of each rectangle.

1. 2. 3.

Find the missing side.

7. P � 83.4 km, � � 27.8 km 8. A � 337.68 yd2, w � 60.3 yd

LAWN CARE For Exercises 9 and 10, use the following information.Yuri’s dad needs to fertilize the grass in the yard. The back yard measures 55 feet by 30 feet,while the front yard is a square with a length of 42 feet on each side.

9. Yuri’s dad wants to rope off the two areas to keep people from disturbing the lawn after hefertilizes the grass. How much rope will he need to go around both areas?

10. If a bag of fertilizer covers 600 square feet of lawn, how many bags of fertilizer will Yuri’s dad need to fertilize the front and back yards?

12 cm

10 cm

8.5 ft

7.6 ft

26 in.

11 in.

0.5 yd

1 yd2.9 mi

2.8 mi

5 m

15 m Less

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3-6 Word Problem Practice Measurement: Perimeter and Area

1. BUILD A FENCE Mrs. Chen wants to builda fence around her yard so that herdog, Fluffy, can run free. The yard shewants to fence is 60 feet by 30 feet. Thefencing is sold by the linear foot, so inorder to figure out how much fencingshe needs, Mrs. Chen needs to knowthe perimeter of the yard.Find the yard’s perimeter.

2. WINDOWS Mrs. Johnson was planningto caulk around the frame of her patiodoors that measure 5 feet by 6�

12� feet.

In order to help her to know how much caulk to buy, find the perimeterof the doors.

3. SOCCER The dimensions of a field forMen’s and Women’s NCAA soccer canbe no more than 80 yards by 120 yards.If the field has those dimensions whatis the perimeter of the field?

4. FENCING Mr. Lao is planning to build arectangular cattle pen that measures 50feet by 75 feet. Find the total length offencing that he will need to purchase.

5. CARPET Mr. Yuji plans on buying carpetfor his bedroom that measures 12 feetby 12 feet. So he will know how muchcarpet to buy, find the area of hisbedroom.

6. BORDER Mrs. Jackson is going to put upa wallpaper border along the top of thewalls in her dining room. If the diningroom measures 16 feet by 12 feet, howmuch border should she buy?

7. LOBBY A hotel lobby measures 40 yardsby 60 yards. Find the area andperimeter of the lobby’s floor.

8. MURAL An artist painted a muralmeasuring 9 feet by 20�

12� feet. Find the

area and perimeter of the mural.

5 ft

6 ft12


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Two shapes can have the same area and different perimeters. Each of these shapes hasan area of 16 square units, but their perimeters are different.

Among rectangles that have an area of 16 square feet, rectangles that are long and thinhave the greatest perimeter. Rectangles with the least perimeter are more closelyshaped to a square.

The grid shows the basic floor plan of the Smith’s house.The side of each grid represents 3 feet. The threebedrooms all have the same area.

1. Which of the rectangular bedrooms has the greaterperimeter? What is another dimension that will create arectangle with the same area?

2. Lisa’s bedroom has an irregular shape. How does the areaof her bedroom compare to the other two bedrooms? Howdoes the perimeter of her bedroom compare to the othertwo bedrooms?

3. The Smith’s are moving to a new house. Design two different floor plans for them fromwhich they may choose. Your floor plans must have five rooms including threebedrooms. Each bedroom must have an area of 162 square feet (18 squares) but not thesame perimeters. You may add any other features to the house that you want.


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P � 34 P � 20 P � 16P � 20

Mike'sBedroom

Tim

's B

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Lisa'sBedroom

Kitchen

Living Room

Front Hallway

EnrichmentPerimeter and Area

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3-6

You can use a spreadsheet to investigate the relationship betweenperimeter and area of a rectangle.

Use a spreadsheet to find the perimeter and area of a rectanglewith width of 3 inches and a length of 5 inches.

Step 1 Use the first cell of the spreadsheet for width. Use cell B1 for the length.

Step 2 In cell C1, enter an equals sign followed by the formula for the perimeter. Theformula is �2*A1�2*B1. Then press ENTER to return the perimeter of the rectangle.

Step 3 In cell D1, enter an equals sign followed by the formula for the area of a rectangle.The formula is �A1*B1. Then press ENTER to return the area.

The perimeter is 16 inches and the area is 15 square inches.

Use a spreadsheet to find the perimeter and area of a rectanglewith width of 6 inches and length of 10 inches.

Step 1 Enter the width and the length in the second row.

Step 2 Click on the bottom right corner of cell C1 and drag it to C2. This returns theperimeter of the rectangle. Click on the bottom right corner of cell D1 and drag it toD2. This returns the area of the rectangle.

The perimeter is 32 inches and the area is 60 square inches.

Answer the following questions.

1. The measurements in Example 2 are two times the measurements in Example 1. Howdoes the perimeter in Example 2 compare to the perimeter found in Example 1?

2. How does the area in Example 2 compare to the area in Example 1?

3. Make a conjecture about what would happen to the perimeter and area if the width andlength were multiplied by three. Test your conjecture using a spreadsheet.

Spreadsheet ActivityPerimeter and Area

A B C D E

1

2

3

4

3 5 16 156 10 32 60

Sheet 1 Sheet 2 Sheet 3

Example 1

Example 2


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3-7 Lesson Reading GuideFunctions and Graphs


1. Complete the function table for thetotal cost of admission.

2. Graph the ordered pairs (number ofmembers, total cost).

3. Describe how the points appear on the graph.

Read the Lesson4. Complete each function table.

a. b.

5. Graph the functions in Exercise 4 above.

a. b.

Remember What You Learned6. Draw a picture of a “machine” that shows how a function works. Your

picture should illustrate input, a function rule, and output.

y

xO

�4�6

�2�3 21 3

246

y

xO

x 4x y

�1

0

1

x 2x � 1 y

�1

0

1

Total Cost of Admission

4

Number of Members 15m Total

Cost ($)

1 15(1) 15

2 15(2) 30

3 15(3)

5

6

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1 2 3 4 65

453015

607590

105

0

Tota

l Cos

t ($)

Number of Members

Total Cost of Admission


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3-7

Graph y � 3x � 2.

Select any four values for the input x. We chose 3, 2, 0, and �1. Substitute these values for x to find the output y.

Four solutions are (2, 4), (1, 1), (0, �2), and (�1, �5).The graph is shown at the right.

Graph each equation.

1. y � x � 1 2. y � x � 2 3. y � �x

4. y � 4x 5. y � 2x � 4 6. y � 2x

y

xO

The solution of an equation with two variables consists of two numbers, one for each variable, thatmake the equation true. The solution is usually written as an ordered pair (x, y), which can begraphed. If the graph for an equation is a straight line, then the equation is a linear equation.

Study Guide and InterventionFunctions and Graphs

x 3x � 2 y (x, y)210

�1

3(2) � 23(1) � 23(0) � 2

3(�1) � 2

41

�2�5

(2, 4)(1, 1)

(0, �2)(�1, �5)

Exercises

Example 1

y

xO

y

xO

y

xO

y

x O

y

xO

y

xO


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3-7 Skills PracticeFunctions and Graphs

Copy and complete each function table.

1. y � x � 1 2. y � x � 7 3. y � 3x

4. y � �4x 5. y � 3x � 1 6. y � �2x � 3


7. y � x � 2 8. y � x � 4 9. y � �3x

10. y � 2x 11. y � 2x � 2 12. y � 3x � 2

13. y � 0.75x 14. y � 0.5x � 1 15. y � 2x � 0.5y

x O

x �2x � 3

�1012

x 3x � 1 y

�1012

x �4x y

�1012

x x � 7 y

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NAME ________________________________________ DATE ______________ PERIOD _____

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3-7 PracticeFunctions and Graphs


1. y � x � 2 2. y � �x 3. y � 2x � 1

4. y � 0.75x 5. y � x � 0.5 6. y � 0.5x � 2

Graph the function represented by each table.

7. 8.

9. PRESSURE Ocean pressure increases about oneatmosphere for every 10 meters of water depth.This can be represented by the function p � 0.1dwhere p represents the pressure in atmospheres at a depth d. Represent this function with a graph.

y

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y

xO

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d10

50

100

0 500 1,000

Oce

an P

ress

ure

(atm

osph

ere)

Ocean Depth (meters)


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3-7 Word Problem Practice Functions and Graphs

1. TECHNOLOGY The fee for your pagerservice is $22 per month. Make afunction table that shows your totalcharge for 1, 2, 3, and 4 months ofservice.

2. TECHNOLOGY Use the information inExercise 1 to write an equation inwhich x represents the number ofmonths and y represents the totalcharge. Then graph the equation.

y

x O 1 2 3 4 5 6 7

44

88

132

3. TRAINS Between Hiroshima andKokura, Japan, the bullet trainaverages a speed of 164 miles per hour,which is the fastest scheduled trainservice in the world. Make a functiontable that shows the distance traveledat that speed in 1, 2, 3, and 4 hours.

4. TRAINS Use the information in Exercise 3 to write an equation inwhich x represents the number of hoursand y represents the distance. Thengraph the equation.

y

x O 1 2 3 4 5 6 7

328

656

984

5. GEOMETRY The formula for the volumeof a rectangular prism whose base hasan area of 8 square units is V � 8h,where V is the volume and h is theheight. Graph the function.

y

x O 1 2 3 4 5 6 7

8

16

24

6. ANIMALS The fastest insect in theworld is the dragonfly with a top speedof 36 miles per hour. Write an equationusing x to represent hours and y torepresent distance. Then graph theequation.

y

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36

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Fundraising for CharityJacqui is leading a fund-raising group for a charity. The group is going to make buttons andsell them at a counter for $6.00 each. Their goal is to raise $1000. Jacqui creates a table topredict their earnings.

1. Complete the table showing how much money will be raised basedon the number of buttons sold.

2. Make a line graph representing the functions from Jacqui’s table.

3. At this rate, how many buttons does Jacqui’s group need to sell to raise $1000?

4. Write an equation that relates the amount of money raised if there is a $50 counter fee.

5. If the group calculates in the $50 counter fee, how many buttons do they need to sell inorder to raise their goal of $1000?

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

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3-7

10 11 12 13 14 15 16

6660

Buttons Sold

0

849096

7872

Mon

ey R

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d (in

dol

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)

Fund-Raising Buttons

ButtonsSold

MoneyRaised

10121416


PDF Proof

Exercises

Example 1



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3-7

Use the Table feature on your calculator to create a table of valuesfrom an equation of a function. Then graph the function.

Suppose you have $25 saved and you earn $10 for mowing aneighbor’s lawn. Suppose you save all the money you earn. How much moneywould you have after mowing the lawn 5 times? 20 times? Write an equation inwhich x is the number of lawns you mow and y is the total amount of money youhave saved. Make a table where x has the values 0 through 20. Graph the function.Sketch the graph and mark the points (0, 25), (5, 75), and (20, 225) with theircoordinates. Describe what each point means in terms of lawns mowed anddollars saved.

The equation is y � 25 � 10x.

Step 1 Enter the equation.

25 10

Step 2 Set up the table. View the table and answer thequestions.

[TBLSET] 0 1

[TABLE]

When you mow 5 lawns, x � 5. When x � 5,y � 75. You have saved $75. When x � 20, y � 225.When you mow 20 lawns, you have saved $225.

Step 3 Turn off any other plots. View the graph.

[PLOT] 4 9

Step 4 Explore the graph using the TRACE feature.

The point (0, 25) represents 0 lawns mowed and $25 saved. (5, 75) is 5 lawns mowed and $75 saved.(20, 225) is 20 lawns mowed and $225 saved.

Create a table. Graph the function. Sketch the graph and label threepoints with their coordinates. Describe what the points represent interms of classrooms and students.

Suppose each classroom has 28 students. The number of students in the wholeschool is given by the function y � 28x, where x represents the number ofclassrooms. The number of classrooms could be 1 up to 18. How manystudents are in a school with 9 classrooms? 15 classrooms?

ZOOMENTER2nd

2nd

ENTERENTER2nd

CLEARY=

TI-73 ActivityTable of Values

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NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

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1.

2.

3.

4.

5.

6.

7. A B C D

F G H J

A B C D

F G H J

A B C D

F G H J

A B C D

Record your answer in the blank.

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

Student Recording SheetUse with pages 174–175 of the Student Edition.

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

Part 1: Multiple Choice

Part 2: Short Response/Grid in

Part 3: Extended Response

8.

9. (grid in)

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

Record your answers for Question 10 on the back of this paper.


PDF Proof


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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.

Rubric for Scoring Extended Response(Use to score the Extended-Response question on page 175 of the Student Edition.)

Score Specific Criteria

4

The graph of the ordered pairs at 40 miles per hour is correct. The graph of theordered pairs at 60 miles per hour is correct. It is explained that the graph for 50 miles per hour would be between the graphs for 40 and 60 miles per hour since50 is between 40 and 60.

3The graph of the ordered pairs at 40 miles per hour is correct. The graph of theordered pairs at 60 miles per hour is correct. The prediction for the graph of 50 miles per hour is incorrect.

2

The graph of the ordered pairs at 40 miles per hour and the prediction for the graphof 50 miles per hour are correct. The graph of the ordered pairs at 60 miles per houris incorrect. OR The graph of the ordered pairs for 60 miles per hour and theprediction for the graph of 50 miles per hour are correct. The graph of the orderedpairs at 40 miles per hour is incorrect.

1 Only one part (graph of ordered pairs at 40 miles per hour, graph of ordered pairs at60 miles per hour, or the prediction for the graph of 50 miles per hour) is correct.

0 Response is completely incorrect.

Exercise 10 Rubric

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

054_076-CRM03_881043 10/30/07 1:17 PM Page 54 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:

PDF Proof


1. four times a number 1.

2. six less than b 2.

3. a number divided by 14 3.


4. Ten more than the number of days is 35. 4.

5. Seventeen minus a number is 23. 5.

6. Forty divided by the number of people is 8. 6.


7. t � 7 � 5 7.

8. 8 � x � �12 8.

9. a � 3 � 9 9.

10. MULTIPLE CHOICE In two hours, the temperature dropped 6°.The final temperature was �4°F. What was the original temperature?A. �10°F B. �2°F C. 2°F D. 10°F 10.


1. 3x � �12 1.

2. �7d � �35 2.

3. 20 � 4n 3.

4. �6a � 54 4.

5. Lauren brings brownies to class one day. She gives 4 to Gareth, 3 to Tammy, and 8 to Louise. If she brought 20 brownies, how many did she have left for herself? 5.


Chapter 3 Quiz 1(Lessons 3-1 and 3-2)


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

3

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1. 3y � 8 � 14 1.

2. �3 � 9 � 4c 2.

3. 2m � 5 � 17 3.

4. Find the perimeter and area of the rectangle. 4.

5. Find the perimeter and area of a rectangle with length 9 inches and width 1 inch. 5.


1. y � x � 2 1.

2. y � 2x 2.

Name two solutions for each question.

3. y � x � 5 3.

4. y � 2x � 1 4.

5. Name an ordered pair that describes a point in the graph of y � 2x � 3. 5.



Chapter 3 Quiz 4(Lessons 3-7)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

3

3

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1. r � 16 � �16A. �32 B. �1 C. 0 D. 32 1.

2. 4 � s � 15F. 19 G. 11 H. 9 J. �19 2.

3. 10 � 19 � yA. �11 B. �10 C. �9 D. 29 3.

4. 21 � �3dF. �7 G. �6 H. 18 J. 24 4.

5. 18 � 3rA. �4 B. 6 C. 8 D. 15 5.

6. 2.1f � �4.2F. 6.3 G. �0.5 H. �2.1 J. �2 6.

7. g � 6 � 2A. �8 B. �4 C. 4 D. 8 7.

8. �8m � �40F. 320 G. 32 H. 5 J. �5 8.

9. CATS Malik is saving $7 each week to buy a new scratching post for his cat. If the post costs $42, in how many weeks will he have enough money? 9.


10. five inches more than the length 10.

11. the quotient of a number and �7 11.

12. six minus q 12.

13. fourteen times a number 13.


14. Seven less than a number is 9. 14.

15. Eight times a number is �16. 15.

Chapter 3 Mid-Chapter Test(Lessons 3-1 and 3-3)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____3


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NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____


3 Chapter 3 Vocabulary Test

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Write a term or number to make each a true sentence.

1. In solving the equation 6x � 3 � 15, the first step is 1.to add 3 to _____________.

2. The _____________ states that if you subtract the same number from each side of an equation, the two sides remain equal. 2.

3. A(n) _____________ is an equation that has two different operations. 3.

4. The _____________ of a rectangle is the product of the lengthand width. 4.

5. The words decreased by sometimes suggest the operation of _____________. 5.

6. To solve the equation d � rt for t, divide each side by ________. 6.

7. In solving the equation �4 � 3x � 10, the first step is to add _____________ to each side of the equation. 7.

8. The algebraic expression representing the words two times the height h is_____________. 8.

9. A(n) _____________ is an equation whose graph is a straight line. 9.

10. An equation that shows the relationship among certain quantities is called a(n) _____________. 10.

Define each term in your own words.

11. work backward strategy 11.

12. Division Property of Equality 12.

formula

linear equation

two-step equation

work backward strategy


PDF Proof

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

Solve. Use any strategy.

1. AGES Three times Geoff ’s age plus 3 is Myrka’s age. Myrka is 48. What is Geoff ’s age?A. 15 B. 17 C. 135 D. 153 1.

2. BASKETBALL In the basketball game, Rachael scored 6 points less than twice the number of points Trina scored. Trina scored 9 points. How many points did Rachael score?F. 3 points G. 12 points H. 15 points J. 18 points 2.


3. 9 � n � �2A. �11 B. �7 C. 2 D. 7 3.

4. 14 � y � 10F. �24 G. �4 H. 4 J. 24 4.

5. 5 � x � 3A. �8 B. �2 C. 2 D. 8 5.

6. t � 26 � �21F. �47 G. �5 H. 5 J. 47 6.

7. 84 � 7dA. 8 B. 12 C. 77 D. 91 7.

8. 6z � 12F. 2 G. 6 H. 18 J. 72 8.

9. Which line is the graph of y � x?A. line a C. line cB. line b D. line d 9.

10. Which line is the graph of y � x � 4?F. line a H. line cG. line b J. line d 10.

11. Find the perimeter of the figure.A. 45 ft C. 16 ftB. 28 ft D. 14 ft 11.

12. DRIVEWAYS Find the area of a rectangular driveway with a length of 10 meters and a width of 3 meters.F. 49 m2 H. 26 m2

G. 30 m2 J. 13 m2 12.

y

xO

da c b


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 1C

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Choose the correct algebraic expression for each phrase.

13. s decreased by 10A. s � 10 B. s � 10 C. 10 � s D. 10 � s 13.

14. thirteen times yF. y � 13 G. 13y H. 13 � y J. y � 13 14.

15. twelve more than zA. 12z B. 12 � z C. z � 12 D. 12 � z 15.

Choose the correct algebraic equation for each sentence.

16. Four times a number is 17.F. 4a � 17 G. 4 � 17 H. �a

4� � 17 J. a � 4 � 17 16.

17. Twenty is a number minus 5.A. 20 � 5 � r B. 20 � r � 5 C. 20r � �5 D. 20 � r � 5 17.


18. �8x � 3 � �29F. 256 G. 4 H. 3 J. �40 18.

19. 3x � 1 � �11A. �36 B. �30 C. �4 D. �3 19.

20. BIOLOGY The graph shows the relationshipbetween peoples’ height and weight. Which table best represents the data in the graph?F. H.

G. J. 20.

y

x

158156

580 60 62 64 66

160162164166

Heig

ht (c

m)

Weight (kg)

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 1 (continued)

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Weight Height(kg) (cm)

3 1575 1607 1639 166

Weight Height(kg) (cm)157 59160 61163 63166 65

Weight Height(kg) (cm)

3 25 57 89 11

Weight Height(kg) (cm)59 15761 16063 16365 166

Bonus ICE CREAM An ice cream shop charges $2.50 for a medium dish of ice cream and one topping. Each additional topping costs $0.50. How many total toppings can you have if you have $4 to spend? B:


PDF Proof



1. AGES Edwin’s mother is 57 years old. Her age is three years more than twice Edwin’s age. What is Edwin’s age?A. 30 years B. 27 years C. 15 years D. 37 years 1.

2. BASKETBALL In a basketball game, Benito scored 3 points less than twicethe number of points Mark scored. Mark scored 8 points. How many pointsdid Benito score?F. 5 points G. 11 points H. 13 points J. 16 points 2.


3. t � 16 � 7A. �23 B. �9 C. 9 D. 23 3.

4. 22 � r � 18F. �40 G. �4 H. 4 J. 40 4.

5. �11 � x � 5A. �16 B. �6 C. 6 D. 16 5.

6. w � 6 � �23F. �29 G. �17 H. 17 J. 29 6.

7. 81 � 3kA. 27 B. 78 C. 84 D. 243 7.

8. 3j � 2.7F. 8.1 G. 0.9 H. 0.3 J. �0.3 8.

9. Which line is the graph of y � x � 2?A. line k C. line mB. line � D. line n 9.

10. Which line is the graph of y � ��12

�x � 3?F. line k H. line mG. line � J. line n 10.

11. Find the perimeter of the figure.A. 128 cm C. 52.4 cmB. 52.8 cm D. 26.4 cm 11.

12. GARDENS Find the area of a rectangular garden with a length of 14 feet and a width of 7 feet.F. 21 ft2 H. 42 ft2

G. 35 ft2 J. 98 ft2 12.

y

xO

n

�

k

m


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 2AC

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13. 15 less than wA. w � 15 B. w � 15 C. 15 � w D. 15 � w 13.

14. twelve times a numberF. 12 � x G. 12 � x H. 12 � x J. 12x 14.

15. 17 divided by qA. 17 � q B. 17q C. 17 � q D. 17 � q 15.


16. Twelve plus a number is �7.F. 12 � d � �7 G. 12 � d � 7 H. 12d � �7 J. 12 � �7d 16.

17. Sixteen times a number is 13.A. 16j � 13 C. 16 � 13jB. 16 � j � 13 D. 16 � 4.1j � 13 17.


18. 37 � 18q � 1F. 0.5 G. 2 H. 12 J. 19 18.

19. 2y � 1.7 � 3.3A. 0.8 B. 2.5 C. 3.2 D. 10 19.

20. CARS The graph shows the relationship between the number of cars in a parking lot and the time of day. Which table best represents the data in the graph?F. H.

G. J. 20.

Bonus If each function represented in the table was graphed on a coordinate plane, which line would be steeper? Explain. B:

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 2A (continued)

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8 9 10 11

10152025

Num

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f Car

s

Time of Day (A.M.)

Time Numberof Cars

8 59 910 14

Time Numberof Cars

5 89 9

14 10

Time Numberof Cars

8 59.5 911 14

Time Numberof Cars

2 55 98 14

x 1 2 3 4 5y1 2 4 6 8 10y2 5 10 15 20 25


PDF Proof



1. ART The Leungs sold a valuable painting for $55,000. This price is $1,000 more than twice the amount they originally paid for it. How much did they originally pay?A. $25,000 B. $27,000 C. $27,500 D. $28,000 1.

2. VOLLEYBALL In a volleyball game, Alexis scored 4 points more than twicethe number of points Jessica scored. Jessica scored 3 points. How manypoints did Alexis score?F. 1 point G. 7 points H. 10 points J. 12 points 2.


3. m � 12 � 11A. �23 B. �1 C. 1 D. 23 3.

4. 15 � t � 7F. �22 G. �8 H. 8 J. 22 4.

5. y � 9 � �21A. �30 B. �12 C. 12 D. 30 5.

6. �4 � w � 30F. �34 G. �26 H. 26 J. 34 6.

7. 6x � �48A. �8 B. �7 C. 7 D. 8 7.

8. 2.7a � 13.5 F. 0.2 G. 4 H. 5 J. 6.5 8.

9. Which line is the graph of y � �x � 4?A. line k C. line mB. line � D. line n 9.

10. Which line is the graph of y � �3x?F. line k H. line mG. line � J. line n 10.

11. Find the perimeter of the figure.A. 167.2 cm C. 51.6 cmB. 59.2 cm D. 29.6 cm 11.

12. POOLS Find the area of a rectangular pool with a length of 12 meters and a width of 5 meters.F. 17 m2 H. 48 m2

G. 34 m2 J. 60 m2 12.

y

xO

m

n

�

k


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 2BC

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13. a number decreased by 38A. c � 38 B. 38 � c C. c � 38 D. 38 � c 13.

14. six times a numberF. 6v G. 6 � v H. 6 � v J. v � 6 14.

15. a number divided by thirteenA. s � 13 B. s � 13 C. 13 � s D. s � 13 15.


16. Seventeen plus a number is �3.F. 17 � q � �3 G. 17q � �3 H. 17 � q � 3 J. 17 � q � �3 16.

17. Sixteen multiplied by a number is 23.A. 16p � 23 B. 16 � p � 23 C. 16 � p � 23 D. 16 � p � 23 17.


18. �12 � 4.7k � 11.5F. �5 G. �3 H. �0.1 I. 5 18.

19. �3m � 21 � �6A. �45 B. �5 C. 9 D. �81 19.

20. MONEY The graph shows the relationship between the cost of an item and the length of time it lasts. Which table best represents the data in the graph?F. H.

G. J. 20.

Bonus If each function represented in the table was graphed on a coordinate plane, which line would be steeper? Explain. B:

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 2B (continued)

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8 12 16 20

0.400.600.801.001.20

Cost

($)

Time (minutes)

Time Cost(min) ($)0.50 30.65 7.50.90 151.00 20

Time Cost(min) ($)

1 0.502 0.653 0.904 1.00

Time Cost(min) ($)

1 32 7.53 154 20

Time Cost(min) ($)

3 0.507.5 0.6515 0.9020 1.00

x 1 2 3 4 5y1 3 6 9 12 15y2 4 8 12 16 20

u


PDF Proof

Solve each equation. Check your solution. 1.

1. 12 � w � �4 3. 9 � r � 28 2.

2. m � 16 � �4 4. k � 31 � 17 3.

Solve. Use any strategy. 4.

5. JOBS Miguel earned $2,500 from his summer job at the grocery store. This is $350 more than twice what his friend Todd earned. How much did Todd earn from his summer job? 5.

6. MONEY Mr. Maxwell started three separate bank accounts for his three children, Jerry, Tony, and Nina. He put the same amount of money in each child’s account. If Tony withdrew half of this money and spent it all on a $15 CD, how much money did Mr. Maxwell deposit in total? 6.


7. 9x � 72 7.

8. �35 � 7m 8.

9. 2.8t � �47.6 9.

10. �5 � 18a � �77 10.

11. 12 � 3.1y � 59.3 11.


12. seven hits more than Sydney 12.

13. a number decreased by 16 13.

14. nine times the price 14.

15. a number divided by twelve 15.


16. Five more than the number of students is 26. 16.

17. The product of twelve and a number is 42. 17.

18. A number minus nineteen is negative twenty-eight. 18.

19. Twenty-one meters longer than the path is 40. 19.


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 2CC

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20. Find the perimeter of the figure. 20.

21. TABLES Find the perimeter and area of a rectangular table top with a length of 6 feet and a width of 3 feet. 21.

22. PAINTING A preschool teacher is painting a large rectangle on a classroom wall using chalkboard paint. The rectangle is going to be 1.8 meters high and have an area of 4.5 square meters. What is the length of the rectangle? 22.


23. y � x � 3 23.

24. y � �2x � 1 24.

25. DODGEBALL At recess Mrs. Miller’s class decided to play dodgeball. The table shows how the number of throws of the ball is related to the number of players remaining inside the circle. Graph the function. 25.

Bonus SOCCER Ellen ran 25 yards from one side of the soccer field to the other. If the perimeter is ten times that distance, what is half the field’s length? B:

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 2C (continued)

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32.6 cm

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y

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Number of Throws 2 10 15 18 20 25

Number of Players Remaining 26 18 13 10 8 3

105 20 2515

5

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10152025

Play

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PDF Proof

Solve each equation. Check your solution. 1.

1. s � 18 � �3 3. 7 � q � 24 2.

2. d � 15 � �11 4. c � 6 � 35 3.

4.


5. SALES Sara sold 126 boxes of cookies. This is 14 more than 5.twice the number of boxes her sister sold. How many boxes of cookies did Sara’s sister sell?

6. MONEY Mr. Stevens started three separate bank accounts for his three children. He put the same amount of money in each child’s account. If the oldest child, Spencer, withdrew half of his money and spent it all on a $25 book, how much money did Mr. Stevens deposit in total? 6.


7. 7r � 63 7.

8. �48 � �6n 8.

9. 1.5c � �24 9.

10. 4 � 2.6z � �29.8 10.

11. 43 � 15b � 47 11.


12. eleven points more than Maile 12.

13. a number decreased by 18 13.

14. five times the width 14.

15. a number divided by seventeen 15.


16. Nine more than the number of tickets is 31. 16.

17. The product of eighteen and a number is 25. 17.

18. A number minus fourteen is negative eight. 18.

19. Eleven meters taller than the tree is 22. 19.


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 2DC

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21. RUGS Find the perimeter and area of a rectangular rug that has a length of 8 feet and a width of 5 feet. 21.

22. ART Students are creating a rectangular billboard design on butcher paper. The design is to be 3 feet wide and have an area of 22.5 square feet. What is the length of the design? 22.


23. y � x � 4 23.

24. y � �x � 3 24.

25. FUNDRAISING Becca is selling plants for a fundraiser. 25.The table shows how the number of plants she sells is related to the amount of prize money she receives.Graph the function.

Bonus TENNIS Samuel ran 30 feet from one side of thetennis court to the other. If the perimeter is eighttimes that distance, what is the court’s length? B:

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 2D (continued)

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31 cm

10.7 cm

y

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y

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Number of Plants Sold 25 50 75 100 150 200

Prize Money ($) 5 10 15 20 30 4050 100 150 200

5

0

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Priz

e M

oney

($)

Number of Plants Sold


PDF Proof


1. �81 � 26 � n 1.

2. x � 17.3 � �4.7 2.

3. r � 12 � 43 3.

4. 21.8 � g � 9.5 4.


5. BASEBALL The number of infielders on a baseball team is 5.one less than three times the number of pitchers. If there are eleven infielders, how many pitchers are there?

6. MONEY Three children each had the same amount of money in their savings accounts. One of the children withdrew a quarter of her money and spent it all on a $25 T-shirt. What was the total amount of money originally in the accounts? 6.


7. 2.9a � 11.6 7.

8. �3.1u � 7.75 8.

9. 1.8t � �9.18 9.

10. 6m � 2.3 � �9.7 10.

11. 3.6 � �2p � 5.8 11.


12. four times the height 12.

13. seventeen more than a number 13.

14. twelve less than f 14.

15. the quotient of q and 3.4 15.


16. Negative seven times a number is 42. 16.

17. The product of eight and a number is �33.2. 17.

18. A number plus one is 57.5. 18.

19. Thirteen less than a number is 63. 19.


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Test, Form 3C

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21. SIGN Find the perimeter and area of a rectangular sign that has a length of 4.5 feet and a width of 2.75 feet. 21.

22. RUGS A rectangular rug is 13 feet long and has an area of 81.25 square feet. What is the width of the rug? 22.

Graph each equation. 23.

23. y � 2x � 5

24. y � �x � 1.5 24.

25. HEIGHTS Moez and Andrea’s parents measured their 25.children’s height over a three-year period. The table shows how their heights are related. Graph the function.

Bonus If each function represented in the table was graphed on the same coordinate plane, which line would be steeper?Explain. B:

NAME ________________________________________ DATE ______________ PERIOD _____


3 Chapter 3 Test, Form 3 (continued)

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.74 m

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y

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y

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50 51 52 53 54 55

107

105

103

109

111

113

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Moez’s Height (cm)0 56

115

Measurement 1 2 3 4 5 6

Moez’s height (cm) 50 51 51 53 54 56

Andrea’s height (cm) 103 105 105 109 111 115

x 1 2 3 4 5y1 0 3 6 9 12y2 0 �4 �8 �12 �16


PDF Proof

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. The Ortiz family will travel from Indianapolis to Denver this summer.The driving distance between the two cities is 1,058 miles. They need tofind out about how much the gas will cost round trip. Their car gets about20 miles per gallon. They usually spend about $2.89 per gallon.

a. Write and solve an algebraic equation to find out how many milesthey will travel. Explain your steps.

b. Write and solve an algebraic equation to find out how many gallons ofgas they will use. Explain your steps.

c. Write and solve an algebraic equation to find out how much theOrtiz’s will spend on gas round trip. Explain your steps.

d. Suppose you know the total cost of the gas, but do not know the priceper gallon. Explain how you would work backward to solve theproblem.

2. Which figure has a greater area: a rectangle that is 8 inches wide and 4 inches long, or a square with a perimeter of 2 feet? Explain.

3. Every winter, students at Camden Middle School go on a class ski trip.For every inch of snow that falls, an additional 25 students sign up. Whenno snow falls, no students attend.

a. Use a verbal model to show the function.

b. Make a table of values to show the function.

c. Write an equation to show the function.

d. Graph the function. Explain your steps. y

xO 1 2 3

255075


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Chapter 3 Extended-Response TestC

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1. Find the square root of 169. (Lesson 1-3)

A 12 B 13 C 84.5 D 338 1.

2. MEASUREMENT You can find the number of feet by evaluating the expression �

1�2�, where � is the length in inches. How many

feet long is a 60-inch length of string? (Lesson 1-5)

F 5 G 6 H 10 J 12 2.

3. If 6 � x � y and y � 19, what is x? (Lesson 1-6)

A 25 B 13 C �13 D �25 3.

4. Solve 12b � 132 mentally. (Lesson 1-7)

F 10 G 11 H 12 J 13 4.

5. SALES Juan sold 9 pens and he knows he has 37 left. Choose the equation to find how many pens he had originally.(Lesson 1-9)

A x � 9 � 37 B x � 9 � 37 C x � 37 � �9 D x � 37 � 9 5.

6. Which description shows the relationship between a term and n, and its position in the sequence? (Lesson 1-9)

F add 5 to n H Multiply n by 5 6.G Divide n by 5 J Subtract n from 5

7. If ⏐x⏐ � 6, what is the value of x? (Lesson 2-1)

A �6 or 0 B �6 or 6 C 0 or 6 D �6 7.

8. The ordered pairs (�3, 5), (2, 0), and (2, 5) are coordinates of three of the vertices of a square. What are the coordinates of the fourth vertex? (Lesson 2-3)

F (0, 2) G (5, �3) H (�3, 2) J (�3, 0) 8.

9. WINDCHILL The windchill factor one week ago was �3�F.What is the windchill factor today if it has risen 12 degrees?(Lesson 2-4)

A �15�F B �9�F C 9�F D 15�F 9.

10. Which expression is represented by the model below? (Lesson 2-5)

F 0 � 1 G 4 � 5 H 0 � 4 J 4 � 1 10. F G H J

A B C D

F G H J

A B C D

F G H J

A B C D

F G H J

A B C D

F G H J

A B C D

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____


3 Standardized Test Practice(Chapters 1–3)

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Part 1: Multiple Choice

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

Position 1 2 3 4 nValue

of Term 5 10 15 20

2�5 �4 �3 �2 �1 0 1 53 4


PDF Proof

11. Which sentence about integers is not always true? (Lesson 2-6)

A positive � positive � positive 11.B positive � negative � negativeC negative � positive � positiveD negative � negative � positive

12. Which of the following equations is equivalent to two times a number plus seventeen is nine? (Lesson 3-1)

F 2n � 9 � 17 12.G 2n � 17 � 9H 2n � 9 � 17J 2n � 17 � 9

13. Find t � 8 � �14. (Lesson 3-2)

A �22 B �6 C 6 D 22 13.

14. TEMPERATURES The lowest temperature ever recorded in Memphis, Tennessee, was �13 degrees Fahrenheit (�F). Find this temperature in degrees Celsius (�C) using F � 1.8C � 32.(Lesson 3-4)

F 25�C 14.G 8.6�CH �7�CJ �25�C

15. Find the area of the rectangle.(Lesson 3-6)

A 33.2 mm2 C 57.2 mm2

B 42.4 mm2 D 220.8 mm2 15.

16. Which is a solution of the equation y � 4x � 3? (Lesson 3-7)

F (1, 1) 16.G (1, 3)H (2, 1) J (2, 3)

17. Evaluate 3(12 � 8) � (3 � 5). (Lesson 1-4)

A 20 B 27 C 43 D 50 17.

18. A number is multiplied by 8. Then 5 is added to the product.The final result is 65. What is the number? (Lesson 3-4)

F 7.5 G 8 H 8.5 J 8.75 18. F G H J

A B C D

F G H J

A B C D

F G H J

A B C D

F G H J

A B C D


3NAME ________________________________________ DATE ______________ PERIOD _____

Standardized Test Practice (continued)

(Chapters 1–3)

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19. CAR WASH Mason charges $8 to wash and $4 to dry cars.His total profit is represented by the expression 8x � 4x,where x is the number of cars washed and dried. If Mason washes and dries 8 cars this weekend, how much will he earn? (Lesson 1-6) 19.

20. Order 5, �7, 12, �4, 0, and �12 from greatest to least.(Lesson 2-2) 20.

21. Graph y � x � 3. (Lesson 3-7) 21.

22. Solve �15a � 45. (Lesson 3-3) 22.

23. Seven more than three times a number is 43. Find the number. (Lesson 3-5) 23.

24. MOVIES The cost of a movie ticket is $9.50. (Lesson 3-7)

a. Complete the table for the total costs. 24a.

b. Graph the ordered pairs to compare the number 24b.of tickets and the total cost.

c. Write an equation that relates the number of tickets n and the total cost C for each theater.

Part 2: Short Response

Instructions: Write answers to short response in the space provided.

NAME ________________________________________ DATE ______________ PERIOD _____


3 Standardized Test Practice (continued)

(Chapters 1–3)

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30

20

10

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01 2 3 4Number of Tickets

Number Totalof Tickets Cost ($)

1234

24c.


PDF Proof

Write an integer for each situation.

1. a gain of 15 yards 1.

2. 2000 B.C. 2.

3. Identify the point that 3.represents �15.

4. Find |�2| � |2|. 4.

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

5. �13 � �21 5.

6. �8 � 0 6.

7. TEMPERATURE Order the temperatures in degrees Celsius 12, �18, �8, �12, 3, and 0 from least to greatest. 7.

Name the ordered pair for each pointgraphed. Then name the quadrant oraxis on which each point is located.

8. E 8.

9. P 9.

Add, subtract, multiply, or divide.

10. 6 � (�4) 10.

11. �8 � (�4) 11.

12. �(22) 12.

13. 20 � (�2) 13.

Evaluate each expression if r � �5 and s � 6.

14. rs � (�2) 14.

15. �3(2s) 15.

16. Evaluate 16 � 10 � 2 � 1. 16.

17. EXERCISE Nate jogs 6 miles one week, 10 miles the next, and 14 miles the third week. If the pattern continues, how many miles will he jog the fourth week? 17.

18. BANKING Daphnie has $68 in the bank. She withdraws $29.Write an addition expression to describe the situation. Then find the sum. 18.

y

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�10 0 10�20 20

A B C D


3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____Unit 1 Test(Chapters 1 through 3)

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19. Write the phrase three hours longer than Tina’s time as an 19.algebraic expression.


20. Seven less than a number is 12. 20.

21. Five more than twice a number is 19. 21.


22. 7 � p � �9 22.

23. 10 � r � 6 23.

24. 4s � 64 24.

25. 8m � �72 25.

26. �10 � 14x � �38 26.

27. 15 � 7h � 1 27.

Simplify each expression.

28. (10 � 4) � 2 28.

29. 18 � 32 � 7 29.

30. (27 � 5) (9 � 1) 30.


32. VOLLEYBALL An outdoor volleyball court is a rectangle measuring 59 feet by 29.5 feet. Find the perimeter and area of the field. 32.

33. ADVERTISING The chess club is having a bake sale. The 33.table shows how the total sales of previous bake sales are related to the number of flyers advertising the bake sale were posted. Graph the function.

NAME ________________________________________ DATE ______________ PERIOD _____


3 Unit 1 Test (continued)

(Chapters 1 through 3)

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14.3 cm

8.6 cm

Total Sales (dollars) 30 45 75 90 120 150

Number of Flyers 20 30 50 60 80 100

20 40 60 80 100

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Answers (Anticipation Guide and Lesson 3-1)

Chapter 3 A1 Course 2

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ard

str

ateg

y

1.G

OV

ERN

MEN

TT

her

e ar

e 99

mem

bers

in

th

e O

hio

Hou

se o

f R

epre

sen

tati

ves.

All

of

them

wer

e pr

esen

t w

hen

a v

ote

was

tak

en o

n a

pie

ce o

f le

gisl

atio

n.

If 6

of

them

did

not

vot

e,an

d 13

mor

e vo

ted

“yes

”th

an v

oted

“n

o”,h

ow m

any

“no”

vote

s w

ere

ther

e?T

here

were

40 “

no

”vo

tes.

2.M

ON

EYJe

ssie

an

d A

mar

eat

lu

nch

at

a re

stau

ran

t an

d th

eir

bill

is

$21.

65.

Am

ar g

ives

the

cash

ier

a co

upo

n f

or $

6 of

f th

eir

bill

,an

d al

so h

ands

th

e ca

shie

r tw

o bi

lls.

If h

ere

ceiv

es $

4.35

in

ch

ange

,wh

at w

ere

the

den

omin

atio

ns

of t

he

two

bill

s h

e ga

ve t

he

cash

ier?

Th

ey w

ere

bo

th t

en

do

llar

bills

.

3.A

GE

Just

ine

is 1

3 ye

ars

you

nge

r th

an h

er u

ncl

e S

tew

art.

Ste

war

t is

18

year

s ol

der

than

Just

ine’

s si

ster

,Ju

lia.

Juli

a's

mot

her

is

8 ye

ar o

lder

th

an S

tew

art,

and

28 y

ears

old

erth

an h

er y

oun

gest

ch

ild,

Jare

d.If

Jar

ed i

s 12

yea

rs o

ld,h

ow o

ld i

s Ju

stin

e?

Ju

sti

ne i

s 1

9 y

ears

old

.

4.N

UM

BER

TH

EORY

A n

um

ber

is d

ivid

ed b

y 6.

Th

en 7

is

adde

d to

th

e di

viso

r.A

fter

divi

din

g by

4,t

he

resu

lt i

s 4.

Wh

at i

s th

e n

um

ber?

54

5.C

OM

PAC

T D

ISC

SC

arm

ella

bor

row

ed h

alf

as m

any

CD

s fr

om t

he

libr

ary

as h

er f

rien

dA

riel

.A

riel

bor

row

ed 2

mor

e th

an J

uan

,bu

t fo

ur

less

th

an S

ierr

a.S

ierr

a bo

rrow

ed 1

2C

Ds.

How

man

y di

d ea

ch p

erso

n b

orro

w?

Ari

el

8 C

Ds

Ju

an

6 C

Ds

Carm

ella 4

CD

s

6.TI

ME

Ash

ish

nee

ds t

o le

ave

for

the

bus

stop

15

min

ute

s ea

rlie

r th

an h

is f

rien

d R

ami.

Ram

i le

aves

fiv

e m

inu

tes

late

r th

an S

usa

n,b

ut

10 m

inu

tes

earl

ier

than

Rap

hae

l.If

Rap

hae

l le

aves

for

th

e bu

s st

op a

t 8:

15,w

hat

tim

e do

es A

shis

h n

eed

to l

eave

?A

sh

ish

need

s t

o l

eave a

t 7:5

0.

Skill

s Pr

actic

e P

rob

lem

-So

lvin

g I

nvesti

gati

on

:W

ork

Backw

ard

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-4

Lesson 3–4

Exam

ple

1

Cha

pter

328

Cou

rse

2

Jon

ah p

ut

hal

f of

his

bir

thd

ay m

oney

in

to h

is s

avin

gs a

ccou

nt.

Th

en h

e p

aid

bac

k t

he

$10

that

he

owed

his

bro

ther

for

dan

ce t

ick

ets.

Las

tly,

he

spen

t $3

on

lu

nch

at

sch

ool.

At

the

end

of

the

day

he

was

lef

t w

ith

$12

.H

owm

uch

mon

ey d

id J

onah

rec

eive

for

his

bir

thd

ay?

Un

ders

tan

dYo

u kn

ow th

at h

e ha

d $1

2 le

ft an

d th

e am

ount

s he

spe

nt th

roug

hout

the

day.

You

need

tofin

d ou

t how

muc

h m

oney

he

rece

ived

for

his

birt

hday

.

Pla

nS

tart

with

the

amou

nt o

f mon

ey h

e w

as le

ft w

ith a

nd w

ork

back

war

d.

So

lve

He

had

$12

left.

12U

ndo

the

$3 h

e sp

ent o

n lu

nch.

�3 15

Und

o th

e $1

0 he

gav

e ba

ck to

his

bro

ther

� 1

0 25U

ndo

the

half

put i

nto

his

savi

ngs

acco

unt

2S

o, J

onah

rec

eive

d $5

0 fo

r hi

s bi

rthd

ay.

50

Ch

eck

Ass

ume

that

Jon

ah r

ecei

ve $

50 fo

r hi

s bi

rthd

ay.

Afte

r pu

tting

hal

f int

o hi

s sa

ving

s ac

coun

the

had

$50

�2

or $

25.

The

n he

gav

e $1

0 to

his

bro

ther

for

danc

e tic

kets

, so

he h

ad

$25

� $

10 o

r $1

5.La

stly

, he

spen

t $3

on lu

nch

at s

choo

l, so

he

had

$15

�$3

, or

$12.

So,

our

ans

wer

of $

50 is

cor

rect

.

Sol

ve e

ach

pro

ble

m b

y u

sin

g th

e w

ork

bac

kw

ard

str

ateg

y.

1.O

n M

onda

y ev

eryo

ne

was

pre

sen

t in

Mr.

Mil

ler’

s cl

ass.

At

12:0

0,5

stu

den

ts l

eft

earl

yfo

r do

ctor

s’ a

ppoi

ntm

ents

.A

t 1:

15,h

alf

of t

he

rem

ain

ing

stu

den

ts w

ent

to a

n a

ssem

bly.

Fin

ally

,at

2:00

,6 m

ore

stu

den

ts l

eft

for

a st

ude

nt

cou

nci

l m

eeti

ng.

At

the

end

of t

he

day,

ther

e w

ere

only

5 s

tude

nts

in

th

e ro

om.

Ass

um

ing

that

no

stu

den

ts r

etu

rned

aft

erh

avin

g le

ft,h

ow m

any

stu

den

ts a

re i

n M

r.M

ille

r’s

clas

s?27 s

tud

en

ts

2.Jo

rdan

was

tra

din

g ba

seba

ll c

ards

wit

h s

ome

frie

nds

.H

e ga

ve 1

5 ca

rds

to T

omm

y an

d go

t 3

back

.H

e ga

ve t

wo-

thir

ds o

f h

is r

emai

nin

g ca

rds

to E

lain

e an

d ke

pt t

he

rest

for

him

self

.W

hen

he

got

hom

e h

e co

un

ted

that

he

had

25

card

s.H

ow m

any

base

ball

card

s di

d Jo

rdan

sta

rt w

ith

?87 b

aseb

all c

ard

s

By

wor

king

bac

kwar

d fr

om w

here

you

end

to

whe

re y

ou b

egan

, yo

u ca

n so

lve

prob

lem

s.U

se t

he fo

ur-

step

pro

blem

sol

ving

mod

el t

o st

ay o

rgan

ized

whe

n w

orki

ng b

ackw

ard.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Pro

ble

m-S

olv

ing

In

vesti

gati

on

:W

ork

Backw

ard


3-4

Exer

cise

s



Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

Cha

pter

331

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-4

Wor

d Pr

oble

m P

ract

ice

Pro

ble

m-S

olv

ing

In

vesti

gati

on

:W

ork

Backw

ard

1.W

hat

was

th

e te

mpe

ratu

re o

n M

onda

y?65 d

eg

rees.

2.E

stim

ate

the

aver

age

tem

pera

ture

for

the

tim

e pe

riod

fro

m S

atu

rday

to

Mon

day.

Th

e a

vera

ge t

em

pera

ture

fro

mS

atu

rday t

o M

on

day i

s a

bo

ut

39

deg

rees.

3.H

ow m

any

degr

ees

cool

er w

as t

he

tem

pera

ture

on

Fri

day

than

Mon

day?

20 d

eg

rees.

4.H

ow m

uch

mon

ey s

hou

ld s

he

take

to

purc

has

e th

e it

ems

con

tain

ed i

n t

he

tabl

e?$18.4

0

5.If

Sh

elly

has

$24

.00

in h

er p

urs

e be

fore

she

goes

to

the

stor

e,h

ow m

uch

wil

lsh

e h

ave

left

aft

er s

he

shop

s?$5.6

0

7.N

UM

BER

TH

EORY

How

man

y di

ffer

ent

two-

digi

t n

um

bers

can

you

mak

e u

sin

gth

e n

um

bers

3,7

,9,a

nd

2 if

no

digi

t is

repe

ated

wit

hin

a n

um

ber?

12

6.If

Pre

ston

pay

s S

hel

ly f

or h

alf

the

cost

of t

he

groc

erie

s,h

ow m

uch

doe

s h

e pa

y?$9.2

0

8.PA

TTER

NS

Th

e fo

llow

ing

nu

mbe

rs f

ollo

wa

patt

ern

:2,8

,32,

128.

Wh

at w

ould

the

fift

h n

um

ber

in t

he

patt

ern

be?

512

For

Exe

rcis

es 1

-3,u

se t

he

info

rmat

ion

bel

ow.

WEA

THER

Th

e te

mpe

ratu

re i

n C

olu

mbu

s,O

hio

on

Mon

day

is 3

5 de

gree

s w

arm

erth

an i

t w

as o

n S

un

day.

Sat

urd

ay’s

tem

pera

ture

was

7 d

egre

es c

oole

r th

anS

un

day’

s.A

t 45

deg

rees

,Fri

day’

ste

mpe

ratu

re w

as 2

2 de

gree

s w

arm

er t

han

Sat

urd

ay’s

.

For

Exe

rcis

es 4

-6,r

efer

to t

he

tab

le b

elow

.

MO

NEY

Sh

elly

nee

dsto

go

to t

he

groc

ery

stor

e to

get

som

eit

ems

for

a di

nn

erpa

rty

she

is h

osti

ng

wit

h h

er b

roth

erP

rest

on.

Gre

en P

eppe

r$1

.79

Fla

nk S

teak

$8.5

4

Wild

Ric

e$3

.29

Rom

aine

Let

tuce

$3.7

9

Cuc

umbe

r$0

.99

Lesson 3–4

Cha

pter

330

Cou

rse

2

Use

th

e w

ork

bac

kw

ard

str

ateg

y to

solv

e E

xerc

ises

1 a

nd

2.

1.N

UM

BER

TH

EORY

A n

um

ber

is d

ivid

edby

5.T

hen

3 i

s ad

ded

to t

he

quot

ien

t.A

fter

su

btra

ctin

g 10

,th

e re

sult

is

30.

Wh

at i

s th

e n

um

ber?

Th

e n

um

ber

is 1

85.

2.C

OU

PON

SK

endr

a u

sed

35 c

ents

mor

ein

cou

pon

s at

th

e st

ore

than

Lea

nn

e.L

ean

ne

use

d 75

cen

ts l

ess

than

Ter

esa,

wh

o u

sed

50 c

ents

mor

e th

anJa

clyn

.Jac

lyn

use

d 40

cen

ts i

nco

upo

ns.

Wh

at w

as t

he

valu

e of

th

eco

upo

ns

Ken

dra

use

d?

K

en

dra

used

50 c

en

ts i

nco

up

on

s.

Use

an

y st

rate

gy t

o so

lve

Exe

rcis

es3–

6.S

ome

stra

tegi

es a

re s

how

n b

elow

.

3.PA

TTER

NS

Wh

at a

re t

he

nex

t th

ree

nu

mbe

rs i

n t

he

foll

owin

g pa

tter

n?

2,3,

5,9,

17,3

3,..

.65,129,an

d 2

57

4.A

GES

M

r.G

illi

am i

s 3

year

s yo

un

ger

than

his

wif

e.T

he

sum

of

thei

r ag

es i

s95

.How

old

is

Mr.

Gil

liam

?M

r.G

illiam

is 4

6 y

ears

old

.

5.G

RA

ND

CA

NY

ON

T

he

elev

atio

n o

f th

eN

orth

Rim

of

the

Gra

nd

Can

yon

is

2,43

8 m

eter

s ab

ove

sea

leve

l.T

he

Sou

th R

im a

vera

ges

304

met

ers

low

erth

an t

he

Nor

th R

im.W

hat

is

the

aver

age

elev

atio

n o

f th

e S

outh

Rim

? T

he S

ou

th R

im a

vera

ges 2

,134

mete

rs a

bo

ve s

ea l

evel.

6.W

ATE

R B

ILL

Th

e w

ater

com

pan

ych

arge

s a

resi

den

tial

cu

stom

er $

41 f

orth

e fi

rst

3,00

0 ga

llon

s of

wat

er u

sed

and

$1 f

or e

very

200

gal

lon

s u

sed

over

3,0

00 g

allo

ns.

If t

he

wat

er b

ill

was

$58

,how

man

y ga

llon

s of

wat

erw

ere

use

d?6,4

00 g

allo

ns

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice

Pro

ble

m-S

olv

ing

In

vesti

gati

on

:W

ork

Backw

ard


3-4

Mix

ed P

rob

lem

Sol

vin

g

PRO

BLE

M-S

OLV

ING

STR

ATE

GIE

S�

Look

for

a pa

ttern

�G

uess

and

che

ck.

�Wor

k ba

ckw

ard



Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

An

swer

s

Cha

pter

333

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

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d or

sub

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st.T

hen

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o so

lve

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equa

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1

Exam

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raw

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, a

divi

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, In

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yrig

ht ©

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raw

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divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

Cha

pter

339

Cou

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3-6

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f p

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156

in y

our

text

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our

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gym

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ld t

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Less

on R

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uide

Measu

rem

en

t:P

eri

mete

r an

d A

rea



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yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

An

swer

s

Cha

pter

341

Cou

rse

2

Prac

tice

Measu

rem

en

t:P

eri

mete

r an

d A

rea

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-6

Fin

d t

he

per

imet

er o

f ea

ch r

ecta

ngl

e.

1.2.

3.

40 m

11.4

mi

3 y

d

Fin

d t

he

area

of

each

rec

tan

gle.

1.2.

3.

286 i

n2

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m2

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d t

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sin

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de.

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337.

68 y

d2,w

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dw

�13.9

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LAW

N C

AR

EF

or E

xerc

ises

9 a

nd

10,

use

th

e fo

llow

ing

info

rmat

ion

.Y

uri

’s d

ad n

eeds

to

fert

iliz

e th

e gr

ass

in t

he

yard

.Th

e ba

ck y

ard

mea

sure

s 55

fee

t by

30

feet

,w

hil

e th

e fr

ont

yard

is

a sq

uar

e w

ith

a l

engt

h o

f 42

fee

t on

eac

h s

ide.

9.Y

uri

’s d

ad w

ants

to

rope

off

th

e tw

o ar

eas

to k

eep

peop

le f

rom

dis

turb

ing

the

law

n a

fter

he

fert

iliz

es t

he

gras

s.H

ow m

uch

rop

e w

ill

he

nee

d to

go

arou

nd

both

are

as?

338 f

eet

of

rop

e

10.

If a

bag

of

fert

iliz

er c

over

s 60

0 sq

uar

e fe

et o

f la

wn

,how

man

y ba

gs o

f fe

rtil

izer

wil

l Y

uri

’s d

ad n

eed

to f

erti

lize

th

e fr

ont

and

back

yar

ds?

6 b

ag

s o

f fe

rtiliz

er

12 c

m

10 c

m

8.5

ft

7.6

ft

26 in

.

11 in

.

0.5

yd

1 yd

2.9

mi

2.8

mi

5 m

15 m

Lesson 3–6

Cha

pter

340

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


3-6

Skill

s Pr

actic

e M

easu

rem

en

t:P

eri

mete

r an

d A

rea

Fin

d t

he

per

imet

er o

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ch f

igu

re.

1.92 c

m2.

36 m

3.38 y

d4.

220 i

n

Fin

d t

he

per

imet

er a

nd

are

a of

eac

h r

ecta

ngl

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5.40 y

d;

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m;

400 c

m2

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d2

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m;

120 c

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72 m

;180 m

2

9.�

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yd10

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,w�

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2

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n.,

w�

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��

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9 yd

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Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

Cha

pter

343

Cou

rse

2

Tw

o sh

apes

can

hav

e th

e sa

me

area

an

d di

ffer

ent

peri

met

ers.

Eac

h o

f th

ese

shap

es h

asan

are

a of

16

squ

are

un

its,

but

thei

r pe

rim

eter

s ar

e di

ffer

ent.

Am

ong

rect

angl

es t

hat

hav

e an

are

a of

16

squ

are

feet

,rec

tan

gles

th

at a

re l

ong

and

thin

hav

e th

e gr

eate

st p

erim

eter

.Rec

tan

gles

wit

h t

he

leas

t pe

rim

eter

are

mor

e cl

osel

ysh

aped

to

a sq

uar

e.

Th

e gr

id s

how

s th

e b

asic

flo

or p

lan

of

the

Sm

ith

’s h

ouse

.T

he

sid

e of

eac

h g

rid

rep

rese

nts

3 f

eet.

Th

e th

ree

bed

room

s al

l h

ave

the

sam

e ar

ea.

1.W

hic

h o

f th

e re

ctan

gula

r be

droo

ms

has

th

e gr

eate

rpe

rim

eter

? W

hat

is

anot

her

dim

ensi

on t

hat

wil

l cr

eate

are

ctan

gle

wit

h t

he

sam

e ar

ea?

Tim

’s b

ed

roo

m h

as t

he

gre

ate

st

peri

mete

r;3 f

eet

by 3

6 f

eet.

2.L

isa’

s be

droo

m h

as a

n i

rreg

ula

r sh

ape.

How

doe

s th

e ar

eaof

her

bed

room

com

pare

to

the

oth

er t

wo

bedr

oom

s? H

owdo

es t

he

peri

met

er o

f h

er b

edro

om c

ompa

re t

o th

e ot

her

two

bedr

oom

s? L

isa’s

bed

roo

m h

as t

he s

am

e a

rea

as t

he o

ther

two

bed

roo

ms.T

he p

eri

mete

r o

f h

er

roo

m i

s g

reate

r th

an

that

of

Mik

e’s

bed

roo

m a

nd

th

e s

am

e a

s t

hat

of T

im’s

bed

roo

m.

3.T

he

Sm

ith

’s a

re m

ovin

g to

a n

ew h

ouse

.Des

ign

tw

o di

ffer

ent

floo

r pl

ans

for

them

fro

mw

hic

h t

hey

may

ch

oose

.You

r fl

oor

plan

s m

ust

hav

e fi

ve r

oom

s in

clu

din

g th

ree

bedr

oom

s.E

ach

bed

room

mu

st h

ave

an a

rea

of 1

62 s

quar

e fe

et (

18 s

quar

es)

but

not

th

esa

me

peri

met

ers.

You

may

add

an

y ot

her

fea

ture

s to

th

e h

ouse

th

at y

ou w

ant.

See s

tud

en

ts’w

ork

.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

pyg,p,

3-6

P �

34

P �

20

P �

16

P �

20

Mik

e's

Bed

roo

m

Tim's Bedroom

Lisa

'sB

edro

om

Kit

chen

Livi

ng

Ro

om

Fro

nt

Hal

lway

Enri

chm

ent

Peri

mete

r an

d A

rea

Lesson 3–6

Cha

pter

342

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


3-6

Wor

d Pr

oble

m P

ract

ice

Measu

rem

en

t:P

eri

mete

r an

d A

rea

1.B

UIL

D A

FEN

CE

Mrs

.Ch

en w

ants

to

buil

da

fen

ce a

rou

nd

her

yar

d so

th

at h

erdo

g,F

luff

y,ca

n r

un

fre

e.T

he

yard

sh

ew

ants

to

fen

ce i

s 60

fee

t by

30

feet

.Th

efe

nci

ng

is s

old

by t

he

lin

ear

foot

,so

inor

der

to f

igu

re o

ut

how

mu

ch f

enci

ng

she

nee

ds,M

rs.C

hen

nee

ds t

o kn

owth

e pe

rim

eter

of

the

yard

.F

ind

the

yard

’s p

erim

eter

.180 f

eet

2.W

IND

OW

SM

rs.J

ohn

son

was

pla

nn

ing

to c

aulk

aro

un

d th

e fr

ame

of h

er p

atio

door

s th

at m

easu

re 5

fee

t by

6�1 2�

feet

.In

ord

er t

o h

elp

her

to

know

how

m

uch

cau

lk t

o bu

y,fi

nd

the

peri

met

erof

th

e do

ors.

23 f

t

3.SO

CC

ERT

he

dim

ensi

ons

of a

fie

ld f

orM

en’s

an

d W

omen

’s N

CA

A s

occe

r ca

nbe

no

mor

e th

an 8

0 ya

rds

by 1

20 y

ards

.If

th

e fi

eld

has

th

ose

dim

ensi

ons

wh

atis

th

e pe

rim

eter

of

the

fiel

d?400 y

ard

s

4.FE

NC

ING

Mr.

Lao

is

plan

ning

to

buil

d a

rect

angu

lar

catt

le p

en t

hat

mea

sure

s 50

feet

by

75 f

eet.

Fin

d th

e to

tal

leng

th o

ffe

ncin

g th

at h

e w

ill

need

to

purc

hase

.250 f

t

5.C

AR

PET

Mr.

Yu

ji p

lan

s on

bu

yin

g ca

rpet

for

his

bed

room

th

at m

easu

res

12 f

eet

by 1

2 fe

et.S

o h

e w

ill

know

how

mu

chca

rpet

to

buy,

fin

d th

e ar

ea o

f h

isbe

droo

m.

144 f

t2

6.B

OR

DER

Mrs

.Jac

kson

is

goin

g to

pu

t u

pa

wal

lpap

er b

orde

r al

ong

the

top

of t

he

wal

ls i

n h

er d

inin

g ro

om.I

f th

e di

nin

gro

om m

easu

res

16 f

eet

by 1

2 fe

et,h

owm

uch

bor

der

shou

ld s

he

buy?

56 f

t

7.LO

BB

YA

hot

el l

obby

mea

sure

s 40

yar

dsby

60

yard

s.F

ind

the

area

an

dpe

rim

eter

of

the

lobb

y’s

floo

r.2,4

00 y

d2;

200 y

d

8.M

UR

AL

An

art

ist

pain

ted

a m

ura

lm

easu

rin

g 9

feet

by

20�1 2�

feet

.Fin

d th

ear

ea a

nd

peri

met

er o

f th

e m

ura

l.

184

�1 2�ft

2;

59 f

t

5 ft

6

ft1 2



Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.


PDF Proof

An

swer

s

Cha

pter

345

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

pyg,p,

3-7

Less

on R

eadi

ng G

uide

Fu

ncti

on

s a

nd

Gra

ph

s

Get

Rea

dy

for

the

Less

on

Rea

d t

he

intr

odu

ctio

n a

t th

e to

p o

f p

age

163

in y

our

text

boo

k.

Wri

te y

our

answ

ers

bel

ow.

1.C

ompl

ete

the

fun

ctio

n t

able

for

th

eto

tal

cost

of

adm

issi

on.

2.G

raph

th

e or

dere

d pa

irs

(nu

mbe

r of

mem

bers

,tot

al c

ost)

.

3.D

escr

ibe

how

th

e po

ints

app

ear

on t

he

grap

h.

Th

ey a

pp

ear

to f

all i

n a

str

aig

ht

lin

e.

Rea

d t

he

Less

on

4.C

ompl

ete

each

fu

nct

ion

tab

le.

a.b

.

5.G

raph

th

e fu

nct

ion

s in

Exe

rcis

e 4

abov

e.

a.b

.

Rem

emb

er W

hat

Yo

u L

earn

ed6.

Dra

w a

pic

ture

of

a “m

ach

ine”

that

sh

ows

how

a f

un

ctio

n w

orks

.You

r pi

ctu

re s

hou

ld i

llu

stra

te i

npu

t,a

fun

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d ou

tpu

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Total Cost ($)

Num

ber o

f Mem

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Tota

l Cos

t of A

dmis

sion

Cha

pter

344

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


3-6

You

can

use

a s

pre

adsh

eet

to i

nve

stig

ate

the

rela

tion

ship

bet

wee

np

erim

eter

an

d a

rea

of a

rec

tan

gle.

Use

a s

pre

adsh

eet

to f

ind

th

e p

erim

eter

an

d a

rea

of a

rec

tan

gle

wit

h w

idth

of

3 in

ches

an

d a

len

gth

of

5 in

ches

.

Step

1U

se t

he

firs

t ce

ll o

f th

e sp

read

shee

t fo

r w

idth

.Use

cel

l B1

for

the

len

gth

.

Step

2In

cel

l C1

,en

ter

an e

qual

s si

gn f

ollo

wed

by

the

form

ula

for

th

e pe

rim

eter

.Th

efo

rmu

la i

s �

2*A1

�2*

B1.T

hen

pre

ss E

NTE

Rto

ret

urn

th

e pe

rim

eter

of

the

rect

angl

e.

Step

3In

cel

l D1

,en

ter

an e

qual

s si

gn f

ollo

wed

by

the

form

ula

for

th

e ar

ea o

f a

rect

angl

e.T

he

form

ula

is

�A1

*B1.

Th

en p

ress

EN

TER

to r

etu

rn t

he

area

.

Th

e pe

rim

eter

is

16 i

nch

es a

nd

the

area

is

15 s

quar

e in

ches

.

Use

a s

pre

adsh

eet

to f

ind

th

e p

erim

eter

an

d a

rea

of a

rec

tan

gle

wit

h w

idth

of

6 in

ches

an

d l

engt

h o

f 10

in

ches

.

Step

1E

nte

r th

e w

idth

an

d th

e le

ngt

h i

n t

he

seco

nd

row

.

Step

2C

lick

on

th

e bo

ttom

rig

ht

corn

er o

f ce

ll C

1an

d dr

ag i

t to

C2.

Th

is r

etu

rns

the

peri

met

er o

f th

e re

ctan

gle.

Cli

ck o

n t

he

bott

om r

igh

t co

rner

of

cell

D1

and

drag

it

toD2

.Th

is r

etu

rns

the

area

of

the

rect

angl

e.

Th

e pe

rim

eter

is

32 i

nch

es a

nd

the

area

is

60 s

quar

e in

ches

.

An

swer

th

e fo

llow

ing

qu

esti

ons.

1.T

he

mea

sure

men

ts i

n E

xam

ple

2 ar

e tw

o ti

mes

th

e m

easu

rem

ents

in

Exa

mpl

e 1.

How

does

th

e pe

rim

eter

in

Exa

mpl

e 2

com

pare

to

the

peri

met

er f

oun

d in

Exa

mpl

e 1?

Th

e p

eri

mete

r in

Exam

ple

2 i

s t

wo

tim

es t

hat

of

Exam

ple

1.

2.H

ow d

oes

the

area

in

Exa

mpl

e 2

com

pare

to

the

area

in

Exa

mpl

e 1?

Th

e a

rea i

n E

xam

ple

2 i

s f

ou

r ti

mes t

hat

of

Exam

ple

1.

3.M

ake

a co

nje

ctu

re a

bou

t w

hat

wou

ld h

appe

n t

o th

e pe

rim

eter

an

d ar

ea i

f th

e w

idth

an

dle

ngt

h w

ere

mu

ltip

lied

by

thre

e.T

est

you

r co

nje

ctu

re u

sin

g a

spre

adsh

eet.

Peri

mete

r w

ou

ld b

e 3

tim

es o

rig

inal

peri

mete

r an

d a

rea w

ou

ld b

e

9 t

imes o

rig

inal

are

a.

Spre

adsh

eet A

ctiv

ityP

eri

mete

r an

d A

rea

AB

CD

E

1 2 3 4

35

1615

610

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Sh

eet

1S

heet

2S

heet

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Exam

ple

1

Exam

ple

2

Answers (Lessons 3-6 and 3-7)


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Cha

pter

347

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-7

Skill

s Pr

actic

eF

un

cti

on

s a

nd

Gra

ph

s

Cop

y an

d c

omp

lete

eac

h f

un

ctio

n t

able

.

1.y

�x

�1

2.y

�x

�7

3.y

�3x

4.y

��

4x5.

y�

3x�

16.

y�

�2x

�3

Gra

ph

eac

h e

qu

atio

n.

7.y

�x

�2

8.y

�x

�4

9.y

��

3x

10.

y�

2x11

.y

�2x

�2

12.

y�

3x �

2

13.

y�

0.75

x14

.y

�0.

5x�

115

.y

�2x

�0.

5y

x O

y �

2x

� 0

.5

x�

2x�

3

�1 0 1 2

�2(�

1)

� 3

�2(0

) �

3�

2(1

) �

3�

2(2

) �

3

x3x

�1

y

�1 0 1 2

3(�

1)

� 1

3(0

) �

13(1

) �

13(2

) �

1

�2 1 4 7

x�

4xy

�1 0 1 2

�4(�

1)

�4(0

)�

4(1

)�

4(2

)

4 0 �4

�8

xx

�7

y

1 2 3 4

1 �

72 �

73 �

74 �

7

8 9 10

11

xx

�1

y

1 2 3 4

1 �

12 �

13 �

14 �

1

0 1 2 3

Lesson 3–7

y

xO

y �

0.7

5xy

xO

y �

0.5

x �

1

y

xO

y �

x �

2

y

x

O

y �

3x

� 2

y

x

O

y �

2x

� 2

y �

2x

y

x

O

y

xO

y �

x �

4y

xO

y �

�3x

x3x

y

1 2 3 4

3(1

)3(2

)3(3

)3(4

)

3 6 9 12 y 5 3 1 �1

Cha

pter

346

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


3-7

Gra

ph

y�

3x�

2.

Sel

ect

any

fou

r va

lues

for

th

e in

put

x.W

e ch

ose

3,2,

0,an

d �

1.S

ubs

titu

te t

hes

e va

lues

for

xto

fi

nd

the

outp

ut

y.

Fou

r so

luti

ons

are

(2,4

),(1

,1),

(0,�

2),a

nd

(�1,

�5)

.T

he

grap

h i

s sh

own

at

the

righ

t.

Gra

ph

eac

h e

qu

atio

n.

1.y

�x

�1

2.y

�x

�2

3.y

��

x

4.y

�4x

5.y

�2x

�4

6.y

�2x

y

xO

The

sol

utio

n of

an

equa

tion

with

tw

o va

riabl

es c

onsi

sts

of t

wo

num

bers

, on

e fo

r ea

ch v

aria

ble,

tha

tm

ake

the

equa

tion

true

.The

sol

utio

n is

usu

ally

writ

ten

as a

n or

dere

d pa

ir (x

, y)

, w

hich

can

be

grap

hed.

If th

e gr

aph

for

an e

quat

ion

is a

str

aigh

t lin

e, t

hen

the

equa

tion

is a

line

ar e

quat

ion.

Stud

y Gu

ide

and

Inte

rven

tion

Fu

ncti

on

s a

nd

Gra

ph

s

x3x

�2

y(x

,y)

2 1 0 �1

3(2)

�2

3(1)

�2

3(0)

�2

3(�

1) �

2

4 1 �2

�5

(2,4

)(1

,1)

(0,�

2)(�

1,�

5)

Exer

cise

s

Exam

ple

1

y

xO

y �

x �

2

y

xO

y �

2x

� 4

y

xO

y �

4x

y

x O

y �

2x

y

xO

y �

�x

y

xO

y �

x �

1



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he M

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w-H

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c.


PDF Proof

An

swer

s

Cha

pter

349

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-7

Wor

d Pr

oble

m P

ract

ice

Fu

ncti

on

s a

nd

Gra

ph

s

x,M

on

ths

y,T

ota

l C

harg

e

122

244

366

488

x,H

ou

rsy,D

ista

nce

1164

2328

3492

4656

1.TE

CH

NO

LOG

YT

he

fee

for

you

r pa

ger

serv

ice

is $

22 p

er m

onth

.Mak

e a

fun

ctio

n t

able

th

at s

how

s yo

ur

tota

lch

arge

for

1,2

,3,a

nd

4 m

onth

s of

serv

ice.

2.TE

CH

NO

LOG

YU

se t

he

info

rmat

ion

in

Exe

rcis

e 1

to w

rite

an

equ

atio

n i

nw

hic

h x

repr

esen

ts t

he

nu

mbe

r of

mon

ths

and

yre

pres

ents

th

e to

tal

char

ge.T

hen

gra

ph t

he

equ

atio

n.

y�

22x

y

x

O

12

34

56

7

4488132

3.TR

AIN

SB

etw

een

Hir

osh

ima

and

Kok

ura

,Jap

an,t

he

bull

et t

rain

aver

ages

a s

peed

of

164

mil

es p

er h

our,

wh

ich

is

the

fast

est

sch

edu

led

trai

nse

rvic

e in

th

e w

orld

.Mak

e a

fun

ctio

nta

ble

that

sh

ows

the

dist

ance

tra

vele

dat

th

at s

peed

in

1,2

,3,a

nd

4 h

ours

.

4.TR

AIN

SU

se t

he

info

rmat

ion

in

E

xerc

ise

3 to

wri

te a

n e

quat

ion

in

wh

ich

xre

pres

ents

th

e n

um

ber

of h

ours

and

yre

pres

ents

th

e di

stan

ce.T

hen

grap

h t

he

equ

atio

n.

y�

164x

y

x

O

12

34

56

7

328

656

984

5.G

EOM

ETRY

Th

e fo

rmu

la f

or t

he

volu

me

of a

rec

tan

gula

r pr

ism

wh

ose

base

has

an a

rea

of 8

squ

are

un

its

is V

�8h

,w

her

e V

is t

he

volu

me

and

his

th

eh

eigh

t.G

raph

th

e fu

nct

ion

.y

x O

1

23

45

67

81624

6.A

NIM

ALS

Th

e fa

stes

t in

sect

in

th

ew

orld

is

the

drag

onfl

y w

ith

a t

op s

peed

of 3

6 m

iles

per

hou

r.W

rite

an

equ

atio

nu

sin

g x

to r

epre

sen

t h

ours

an

d y

tore

pres

ent

dist

ance

.Th

en g

raph

th

eeq

uat

ion

.y

�36x

y

x O

1

23

45

67

3672108

Lesson 3–7

Cha

pter

348

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


3-7

Prac

tice

Fu

ncti

on

s a

nd

Gra

ph

s

Gra

ph

eac

h e

qu

atio

n.

1.y

�x

�2

2.y

��

x3.

y�

2x �

1

4.y

�0.

75x

5.y

�x

�0.

56.

y�

0.5x

�2

Gra

ph

th

e fu

nct

ion

rep

rese

nte

d b

y ea

ch t

able

.

7.8.

9.PR

ESSU

RE

Oce

an p

ress

ure

in

crea

ses

abou

t on

eat

mos

pher

e fo

r ev

ery

10 m

eter

s of

wat

er d

epth

.T

his

can

be

repr

esen

ted

by t

he

fun

ctio

n p

�0.

1dw

her

e p

repr

esen

ts t

he

pres

sure

in

atm

osph

eres

at

a d

epth

d.R

epre

sen

t th

is f

un

ctio

n w

ith

a g

raph

.

y

xO

y �

0.5

x �

2

y

xO

y �

x �

0.5

y

xO

y �

0.7

5x

y

x

O

y �

2x

� 1

y

xO

y �

�x

y

xO

y �

x �

2

xy

0 1 2 3

3.5

2.5

1.5

0.5

y

xO

( 0, 3

.5)

( 1, 2

.5)

( 2, 1

.5)

( 3, 0

.5)

xy

1 0 �1

�2

6 4.5 3 1.5

y

xO

( 1, 6

)( 0

, 4.5

)( �

1, 3

)

( �2,

1.5

)

P

d1050100 0

500

1,00

0

Ocean Pressure (atmosphere)

Oce

an D

epth

(met

ers)



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he M

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ompa

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c.


PDF Proof

Exer

cise

s

Exam

ple

1

Cha

pter

351

Cou

rse

2

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

3-7

Use

th

e T

able

fea

ture

on

you

r ca

lcu

lato

r to

cre

ate

a ta

ble

of

valu

esfr

om a

n e

qu

atio

n o

f a

fun

ctio

n.T

hen

gra

ph

th

e fu

nct

ion

.

Su

pp

ose

you

hav

e $2

5 sa

ved

an

d y

ou e

arn

$10

for

mow

ing

an

eigh

bor

’s l

awn

.Su

pp

ose

you

sav

e al

l th

e m

oney

you

ear

n.H

ow m

uch

mon

eyw

ould

you

hav

e af

ter

mow

ing

the

law

n 5

tim

es?

20 t

imes

? W

rite

an

eq

uat

ion

in

wh

ich

xis

th

e n

um

ber

of

law

ns

you

mow

an

d y

is t

he

tota

l am

oun

t of

mon

ey y

ouh

ave

save

d.M

ake

a ta

ble

wh

ere

xh

as t

he

valu

es 0

th

rou

gh 2

0.G

rap

h t

he

fun

ctio

n.

Sk

etch

th

e gr

aph

an

d m

ark

th

e p

oin

ts (

0,25

),(5

,75)

,an

d (

20,2

25)

wit

h t

hei

rco

ord

inat

es.D

escr

ibe

wh

at e

ach

poi

nt

mea

ns

in t

erm

s of

law

ns

mow

ed a

nd

dol

lars

sav

ed.

Th

e eq

uat

ion

is

y�

25 �

10x.

Step

1E

nte

r th

e eq

uat

ion

.

25

10

Step

2S

et u

p th

e ta

ble.

Vie

w t

he

tabl

e an

d an

swer

th

equ

esti

ons. [TBL

SET]

0 1

[TAB

LE]

Wh

en y

ou m

ow 5

law

ns,

x�

5.W

hen

x�

5,y

�75

.You

hav

e sa

ved

$75.

Wh

en x

�20

,y�

225.

Wh

en y

ou m

ow 2

0 la

wn

s,yo

u h

ave

save

d $2

25.

Step

3T

urn

off

an

y ot

her

plo

ts.V

iew

th

e gr

aph

.

[PLO

T]4

9

Step

4E

xplo

re t

he

grap

h u

sin

g th

e TR

ACE

feat

ure

.

Th

e po

int

(0,2

5) r

epre

sen

ts 0

law

ns

mow

ed a

nd

$25

save

d.(5

,75)

is

5 la

wn

s m

owed

an

d $7

5 sa

ved.

(20,

225)

is

20 l

awn

s m

owed

an

d $2

25 s

aved

.

Cre

ate

a ta

ble

.Gra

ph

th

e fu

nct

ion

.Sk

etch

th

e gr

aph

an

d l

abel

th

ree

poi

nts

wit

h t

hei

r co

ord

inat

es.D

escr

ibe

wh

at t

he

poi

nts

rep

rese

nt

inte

rms

of c

lass

room

s an

d s

tud

ents

.

Su

ppos

e ea

ch c

lass

room

has

28

stu

den

ts.T

he

nu

mbe

r of

stu

den

ts i

n t

he

wh

ole

sch

ool

is g

iven

by

the

fun

ctio

n y

�28

x,w

her

e x

repr

esen

ts t

he

nu

mbe

r of

clas

sroo

ms.

Th

e n

um

ber

of c

lass

room

s co

uld

be

1 u

p to

18.

How

man

yst

ude

nts

are

in

a s

choo

l w

ith

9 c

lass

room

s? 1

5 cl

assr

oom

s?

See s

tud

en

ts’w

ork

fo

r g

rap

h;

9 �

252 s

tud

en

ts;

15 �

420 s

tud

en

ts.

ZO

OM

EN

TE

R2

nd

2n

d

EN

TE

RE

NT

ER

2n

d

CL

EA

RY

=TI-7

3 A

ctiv

ityTab

le o

f V

alu

es

Lesson 3–7

Cha

pter

350

Cou

rse

2

Fun

dra

isin

g f

or

Ch

arit

yJa

cqu

i is

lea

din

g a

fun

d-ra

isin

g gr

oup

for

a ch

arit

y.T

he

grou

p is

goi

ng

to m

ake

butt

ons

and

sell

th

em a

t a

cou

nte

r fo

r $6

.00

each

.Th

eir

goal

is

to r

aise

$10

00.J

acqu

i cr

eate

s a

tabl

e to

pred

ict

thei

r ea

rnin

gs.

1.C

ompl

ete

the

tabl

e sh

owin

g h

ow m

uch

mon

ey w

ill

be r

aise

d ba

sed

on t

he

nu

mbe

r of

bu

tton

s so

ld.

2.M

ake

a li

ne

grap

h r

epre

sen

tin

g th

e fu

nct

ion

s fr

om J

acqu

i’s t

able

.

3.A

t th

is r

ate,

how

man

y bu

tton

s do

es J

acqu

i’s g

rou

p n

eed

to s

ell

to r

aise

$10

00?

167 b

utt

on

s

4.W

rite

an

equ

atio

n t

hat

rel

ates

th

e am

oun

t of

mon

ey r

aise

d if

th

ere

is a

$50

cou

nte

r fe

e.y

�6x

�50

5.If

th

e gr

oup

calc

ula

tes

in t

he

$50

cou

nte

r fe

e,h

ow m

any

butt

ons

do t

hey

nee

d to

sel

l in

orde

r to

rai

se t

hei

r go

al o

f $1

000?

175 b

utt

on

s

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Enri

chm

ent


3-7

1011

1213

1415

16

66 60

Butto

ns S

old

0849096 78 72

Money Raised (in dollars)

Fund

-Rai

sing

But

tons

Bu

tton

sS

old

Mon

eyR

aise

d

10 12 14 16

$60

$72

$84

$96



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ompa

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c.


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raw

-Hill

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divi

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of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Quiz 2 (Lessons 3-3 and 3-4)Page 55

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

Quiz 4 (Lesson 3-7)Page 56

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15. 8n � �16

n � 7 � 9

14n

6 � q

n � (�7)

� � 5

6 weeks

H

D

J

B

F

C

G

C

Sample answer:

(4, 5)

Sample answer:

(0, 1), (2, 5)

Sample answer:

(0, �5), (1, �4)

y

xO

P � 20 in.,A � 9 in2

40.4 mm;

98.4 mm2

11

�3

2

5

�9

5

5

�4

C

12

�20

�2

40 � n � 8

17 � n � 23

d � 10 � 35

n � 14

b � 6

4n

Chapter 3 Assessment Answer KeyQuiz 1 (Lessons 3-1 and 3-2) Quiz 3 (Lessons 3-5 and 3-6) Mid-Chapter TestPage 55 Page 56 Page 57

An

swer

s


y

xO


PDF Proof

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-Hill

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divi

sion

of T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

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F

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Sample answer: property

that states if you divide each

side of an equation by the

same nonzero number, the

two sides of the equation

remain equal

Sample answer: a problem-

solving strategy in which

you are given a final result

and you use that result to

find an earlier amount

formula

linear equation

2h

10

r

subtraction

area

two-step equation

Subtraction Property

of Equality

each side of the equation

Chapter 3 Assessment Answer KeyVocabulary Test Form 1Page 58 Page 59 Page 60



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Chapter 3 Assessment Answer KeyForm 2A Form 2BPage 61 Page 62 Page 63 Page 64

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Chapter 3 Assessment Answer KeyForm 2CPage 65 Page 66



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Chapter 3 Assessment Answer KeyForm 2DPage 67 Page 68

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Chapter 3 Assessment Answer KeyForm 3Page 69 Page 70


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Chapter 3 Assessment Answer Key Extended-Response Test, Page 71

Scoring Rubric

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.


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Chapter 3 Assessment Answer Key Extended-Response Test, Page 71

Sample Answers

1. a. The distance d between the two citiesis 1,058 miles. The round-tripdistance will be twice that. So, thetotal number of miles t is 2d � t;t � 2,116 miles.

b. The Ortiz’s car gets 20 miles pergallon. Therefore, the number ofgallons g needed is t � 20 � g;g � 2,116 � 20 or 105.8 gallons.

c. The average price for gas is $2.89 pergallon. The total cost c for gas is c � $2.89g; c � $305.76.

d. The Ortiz’s spend $305.76 on gas,drive 2,116 miles, and know they get20 miles per gallon gas mileage. Totalmiles t � 20 � g (the number ofgallons needed). Therefore, g � 105.8gallons. The total cost c � $305.76.Divided by the number of gallons,105.8, the price per gallon p � $305.76 � 105.8 gallons;p � $2.89.

2. Square; area of rectangle � 32 in2;square has sides 6 in. long, so area of square � 36 in2.

3. a. The number of students to sign upequals 25 students times the numberof inches of snow.

b.

c. Let x represent the number of inchesand y represent the total number ofstudents; 25x � y.

d. Based on the table above, foursolutions of the equation 25x � y are(0, 0), (1, 25), (2, 50), and (3, 75).

y

xO 1 2 3

255075

In addition to the scoring rubric found on page A29, the following sample answers

may be used as guidance in evaluating extended response assessment items.

Numberof Inches

Multiply by 25

TotalNumber ofStudents

0 25 � 0 0

1 25 � 1 25

2 25 � 2 50

3 25 � 3 75


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Chapter 3 Assessment Answer KeyStandardized Test PracticePage 72 Page 73


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Chapter 3 Assessment Answer KeyStandardized Test PracticePage 74

Number Totalof Tickets Cost ($)

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Chapter 3 Assessment Answer KeyUnit 1 TestPage 75 Page 76

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