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Chapter 3
Resource Masters
MC©09_CRM3_C2_TP_881043-4.indd Page 1 12/21/07 10:14:06 PM userMC©09_CRM3_C2_TP_881043-4.indd Page 1 12/21/07 10:14:06 PM user /Volumes/ju107/MHGL111/Quark%0/Course 2/Application Files/Chapter 3/Volumes/ju107/MHGL111/Quark%0/Course 2/Application Files/Chapter
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 _____
Chapter 3 3 Course 2
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 _____
Chapter 3 4 Course 2
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 _____
Capítulo 3 6 Course 2
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
Chapter 3 7 Course 2
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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Capítulo 3 8 Course 2
Ejercicios preparatoriosÁlgebra: Ecuaciones lineales y funciones
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3
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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Chapter 3 9 Course 2
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
Less
on
3–1
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Chapter 3 10 Course 2
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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Chapter 3 11 Course 2
NAME ________________________________________ DATE ______________ PERIOD _____
Write each phrase as an algebraic expression.
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
Write each sentence as an algebraic equation.
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
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Write each phrase as an algebraic expression.
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
Write each sentence as an algebraic equation.
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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Chapter 3 13 Course 2
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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Chapter 3 14 Course 2
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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Chapter 3 15 Course 2
NAME ________________________________________ DATE ______________ PERIOD _____
Get Ready for the LessonRead the introduction at the top of page 136 in your textbook.Write your answers below.
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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Chapter 3 17 Course 2
NAME ________________________________________ DATE ______________ PERIOD _____
Solve each equation. Check your solution.
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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Solve each equation. Check your solution.
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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Chapter 3 19 Course 2
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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Chapter 3 20 Course 2
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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Chapter 3 21 Course 2
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
Less
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Exercises
Example 1
Example 2
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Chapter 3 22 Course 2
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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Chapter 3 23 Course 2
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
Less
on
3–3
Exercises
Example 1
Example 2
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Chapter 3 24 Course 2
NAME ________________________________________ DATE ______________ PERIOD _____
Solve each equation. Check your solution.
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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Solve each equation. Check your solution.
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
Chapter 3 28 Course 2
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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Chapter 3 29 Course 2
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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Chapter 3 30 Course 2
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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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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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.
Solve each equation. Check your solution.
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
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Exercises
Example 1
Example 2
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3-5 Skills PracticeSolving Two-Step Equations
Solve each equation. Check your solution.
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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Chapter 3 35 Course 2
Solve each equation. Check your solution.
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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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
Enrichment
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Get Ready for the LessonRead the introduction at the top of page 156 in your textbook.Write your answers below.
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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Chapter 3 43 Course 2
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
edro
om
Lisa'sBedroom
Kitchen
Living Room
Front Hallway
EnrichmentPerimeter and Area
Less
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Chapter 3 44 Course 2
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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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Chapter 3 45 Course 2
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3-7 Lesson Reading GuideFunctions and Graphs
Get Ready for the LessonRead the introduction at the top of page 163 in your textbook.Write your answers below.
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
Less
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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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Chapter 3 46 Course 2
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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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Chapter 3 47 Course 2
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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
Graph each equation.
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
1234
x x � 1 y
1234
Less
on
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y
xO
y
xO
y
xO
y
x O
y
x O
y
x O
y
xO
y
xO
x 3x y
1234
y
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Chapter 3 48 Course 2
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3-7 PracticeFunctions and Graphs
Graph each equation.
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
xO
y
xO
y
xO
y
x O
y
xO
y
xO
x y
0123
3.52.51.50.5
y
xO
x y
10
�1�2
64.53
1.5
y
xO
P
d10
50
100
0 500 1,000
Oce
an P
ress
ure
(atm
osph
ere)
Ocean Depth (meters)
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Chapter 3 49 Course 2
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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
x O 1 2 3 4 5 6 7
36
72
108
Less
on
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Chapter 3 50 Course 2
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 _____
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10 11 12 13 14 15 16
6660
Buttons Sold
0
849096
7872
Mon
ey R
aise
d (in
dol
lars
)
Fund-Raising Buttons
ButtonsSold
MoneyRaised
10121416
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Exercises
Example 1
Chapter 3 51 Course 2
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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
Less
on
3–7
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Chapter 2 53 Course 2
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NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
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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.
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Chapter 3 54 Course 2
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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 _____
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Write each phrase as an algebraic expression.
1. four times a number 1.
2. six less than b 2.
3. a number divided by 14 3.
Write each sentence as an algebraic equation.
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.
Solve each equation. Check your solution.
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.
Solve each equation. Check your solution.
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 55 Course 2
Chapter 3 Quiz 1(Lessons 3-1 and 3-2)
Chapter 3 Quiz 2(Lessons 3-3 and 3-4)
NAME ________________________________________ DATE ______________ PERIOD _____
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NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
3
3
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Solve each equation. Check your solution.
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.
Graph each equation.
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 56 Course 2
Chapter 3 Quiz 3(Lessons 3-5 and 3-6)
Chapter 3 Quiz 4(Lessons 3-7)
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
3
3
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8.2 mm
y
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y
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Solve each equation. Check your solution.
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.
Write each phrase as an algebraic expression.
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.
Write each sentence as an algebraic equation.
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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Chapter 3 58 Course 2
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
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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.
Solve each equation. Check your solution.
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
Chapter 3 59 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
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PDF Proof
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.
Solve each equation. Check your solution.
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 _____
Chapter 3 60 Course 2
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:
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Write the letter for the correct answer in the blank at the right of each question.
Solve. Use any strategy.
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.
Solve each equation. Check your solution.
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
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k
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Chapter 3 61 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____Chapter 3 Test, Form 2AC
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PDF Proof
Choose the correct algebraic expression for each phrase.
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.
Choose the correct algebraic equation for each sentence.
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.
Solve each equation. Check your solution.
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 _____
Chapter 3 62 Course 2
3 Chapter 3 Test, Form 2A (continued)
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Num
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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
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Write the letter for the correct answer in the blank at the right of each question.
Solve. Use any strategy.
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.
Solve each equation. Check your solution.
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
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k
Chapter 3 63 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____Chapter 3 Test, Form 2BC
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PDF Proof
Choose the correct algebraic expression for each phrase.
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.
Choose the correct algebraic equation for each sentence.
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.
Solve each equation. Check your solution.
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 _____
Chapter 3 64 Course 2
3 Chapter 3 Test, Form 2B (continued)
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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
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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.
Solve each equation. Check your solution.
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.
Write each phrase as an algebraic expression.
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.
Write each sentence as an algebraic equation.
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.
Chapter 3 65 Course 2
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.
Graph each equation.
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 _____
Chapter 3 66 Course 2
3 Chapter 3 Test, Form 2C (continued)
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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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Throws
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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.
Solve. Use any strategy.
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 $25 book, how much money did Mr. Stevens deposit in total? 6.
Solve each equation. Check your solution.
7. 7r � 63 7.
8. �48 � �6n 8.
9. 1.5c � �24 9.
10. 4 � 2.6z � �29.8 10.
11. 43 � 15b � 47 11.
Write each phrase as an algebraic expression.
12. eleven points more than Maile 12.
13. a number decreased by 18 13.
14. five times the width 14.
15. a number divided by seventeen 15.
Write each sentence as an algebraic equation.
16. Nine more than the number of tickets is 31. 16.
17. The product of eighteen and a number is 25. 17.
18. A number minus fourteen is negative eight. 18.
19. Eleven meters taller than the tree is 22. 19.
Chapter 3 67 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____Chapter 3 Test, Form 2DC
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20. Find the perimeter of the figure. 20.
21. RUGS Find the perimeter and area of a rectangular rug that has a length of 8 feet and a width of 5 feet. 21.
22. ART Students are creating a rectangular billboard design on butcher paper. The design is to be 3 feet wide and have an area of 22.5 square feet. What is the length of the design? 22.
Graph each equation.
23. y � x � 4 23.
24. y � �x � 3 24.
25. FUNDRAISING Becca is selling plants for a fundraiser. 25.The table shows how the number of plants she sells is related to the amount of prize money she receives.Graph the function.
Bonus TENNIS Samuel ran 30 feet from one side of thetennis court to the other. If the perimeter is eighttimes that distance, what is the court’s length? B:
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 3 68 Course 2
3 Chapter 3 Test, Form 2D (continued)
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Number of Plants Sold 25 50 75 100 150 200
Prize Money ($) 5 10 15 20 30 4050 100 150 200
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Priz
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Number of Plants Sold
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PDF Proof
Solve each equation. Check your solution.
1. �81 � 26 � n 1.
2. x � 17.3 � �4.7 2.
3. r � 12 � 43 3.
4. 21.8 � g � 9.5 4.
Solve. Use any strategy.
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.
Solve each equation. Check your solution.
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.
Write each phrase as an algebraic expression.
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.
Write each sentence as an algebraic equation.
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.
Chapter 3 69 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____Chapter 3 Test, Form 3C
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20. Find the perimeter of the figure. 20.
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 _____
Chapter 3 70 Course 2
3 Chapter 3 Test, Form 3 (continued)
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Moez’s Height (cm)0 56
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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
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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
Chapter 3 71 Course 2
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 _____
Chapter 3 72 Course 2
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
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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
Chapter 3 73 Course 2
3NAME ________________________________________ DATE ______________ PERIOD _____
Standardized Test Practice (continued)
(Chapters 1–3)
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ncoe
/McG
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Ass
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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 $9.50. (Lesson 3-7)
a. Complete the table for the total costs. 24a.
b. Graph the ordered pairs to compare the number 24b.of tickets and the total cost.
c. Write an equation that relates the number of tickets n and the total cost C for each theater.
Part 2: Short Response
Instructions: Write answers to short response in the space provided.
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 3 74 Course 2
3 Standardized Test Practice (continued)
(Chapters 1–3)
Cop
yrig
ht ©
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ncoe
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raw
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of T
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nies
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y
xO
C
n
Tota
l Cos
t ($)
30
20
10
40
01 2 3 4Number of Tickets
Number Totalof Tickets Cost ($)
1234
24c.
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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
xO
P
E
�10 0 10�20 20
A B C D
Chapter 3 75 Course 2
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.
Write each sentence as an algebraic equation.
20. Seven less than a number is 12. 20.
21. Five more than twice a number is 19. 21.
Solve each equation. Check your solution.
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.
31. Find the perimeter of the figure. 31.
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 _____
Chapter 3 76 Course 2
3 Unit 1 Test (continued)
(Chapters 1 through 3)
Cop
yrig
ht ©
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ncoe
/McG
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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
65
50
3520
80
95
110
125
140
155
Tota
l Sal
es (d
olla
rs)
Number of Flyers0
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An
swer
s
3-1
Cha
pter
39
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
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
128
in y
our
text
boo
k.
Wri
te y
our
answ
ers
bel
ow.
1.W
hat
ope
rati
on w
ould
you
use
to
fin
d h
ow m
any
moo
ns
Sat
urn
has
?E
xpla
in.
ad
dit
ion
;T
he w
ord
mo
resu
gg
ests
ad
dit
ion
.
2.Ju
pite
r h
as a
bou
t th
ree
tim
es a
s m
any
moo
ns
as U
ran
us.
Wh
at o
pera
tion
wou
ld y
ou u
se t
o fi
nd
how
man
y m
oon
s Ju
pite
r h
as?
mu
ltip
licati
on
Rea
d t
he
Less
on
3.W
rite
th
e sy
mbo
l th
at e
ach
wor
d or
ph
rase
rep
rese
nts
.
4.G
ive
two
exam
ples
of
a w
ord
or p
hra
se t
hat
can
su
gges
t ea
ch o
pera
tion
.S
am
ple
an
sw
ers
giv
en
.
5.W
rite
a v
erba
l se
nte
nce
for
eac
h e
quat
ion
.S
am
ple
an
sw
ers
giv
en
.
Rem
emb
er W
hat
Yo
u L
earn
ed6.
Wor
k w
ith
a p
artn
er.W
rite
dow
n f
our
or f
ive
real
lif
e m
ath
sit
uat
ion
s as
sen
ten
ces.
Tra
de p
aper
s w
ith
you
r pa
rtn
er.T
ran
slat
e yo
ur
part
ner
’sse
nte
nce
s in
to s
ymbo
ls.
See s
tud
en
ts’w
ork
.
Less
on R
eadi
ng G
uide
Wri
tin
g E
xp
ressio
ns a
nd
Eq
uati
on
s
Eq
uat
ion
Ver
bal
Sen
ten
ce
2x�
5�
�3
Tw
o t
imes a
nu
mb
er
min
us f
ive i
s n
eg
ati
ve t
hre
e.
10�
a�
6Ten
eq
uals
a n
um
ber
plu
s s
ix.
r �
9�
7A
nu
mb
er
div
ided
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ine i
s s
even
.
Op
erat
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Wor
ds
�p
lus,su
m
�m
inu
s,le
ss
�ti
mes,tw
ice
�d
ivid
ed
,p
er
Sym
bol
Wor
ds
�m
ore
than
�is
�qu
otie
nt
Lesson 3–1
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Ant
icip
atio
n Gu
ide
Alg
eb
ra:
Lin
ear
Eq
uati
on
s a
nd
Fu
ncti
on
s
Cha
pter
37
Cou
rse
2
3
Bef
ore
you
beg
in C
ha
pte
r 3
•R
ead
each
sta
tem
ent.
•D
ecid
e w
het
her
you
Agr
ee (
A)
or D
isag
ree
(D)
wit
h t
he
stat
emen
t.•
Wri
te A
or
D i
n t
he
firs
t co
lum
n O
R i
f yo
u a
re n
ot s
ure
wh
eth
er y
ou a
gree
or
dis
agre
e,w
rite
NS
(N
ot S
ure
).
Aft
er y
ou c
omp
lete
Ch
ap
ter
3
•R
erea
d ea
ch s
tate
men
t an
d co
mpl
ete
the
last
col
um
n b
y en
teri
ng
an A
(A
gree
)or
a D
(D
isag
ree)
.•
Did
an
y of
you
r op
inio
ns
abou
t th
e st
atem
ents
ch
ange
fro
m t
he
firs
t co
lum
n?
•F
or t
hos
e st
atem
ents
th
at y
ou m
ark
wit
h a
D,u
se a
sep
arat
e sh
eet
of p
aper
to
expl
ain
wh
y yo
u d
isag
ree.
Use
exa
mpl
es,i
f po
ssib
le.
Step
1
Step
2
ST
EP
1S
TE
P 2
A,D
,o
r N
SS
tate
men
tA
or
D
1.T
he
wor
ds d
iffe
ren
ce,l
ess
than
,an
d d
ecre
ased
byin
a p
robl
emA
sugg
est
subt
ract
ion
.
2.T
he
wor
ds t
wic
e,pe
r,an
d se
para
tein
a p
robl
em s
ugg
est
Dm
ult
ipli
cati
on.
3.T
wic
e a
nu
mbe
r le
ss t
han
3is
th
e sa
me
as 2
n�
3.D
4.A
ddit
ion
an
d su
btra
ctio
n a
re i
nve
rse
oper
atio
ns.
A
5.T
he
Add
itio
n P
rope
rty
of E
qual
ity
stat
es t
hat
if
the
sam
e A
nu
mbe
r is
add
ed t
o bo
th s
ides
of
an e
quat
ion
,th
e tw
o si
des
wil
l re
mai
n e
qual
.
6.T
o so
lve
the
equ
atio
n 2
.4t
�12
,mu
ltip
ly b
oth
sid
es o
f th
e D
equ
atio
n b
y 2.
4.
7.T
o so
lve
the
equ
atio
n 6
x�
4�
20,y
ou w
ould
fir
st d
ivid
e bo
th
Dsi
des
of t
he
equ
atio
n b
y 6.
8.T
he
form
ula
for
th
e ar
ea o
f a
rect
angl
e is
A�
��w
.A
9.T
o gr
aph
th
e eq
uat
ion
y�
4x,s
ubs
titu
te o
ne
valu
e fo
r x
and
Dso
lve
for
y.
10.
An
equ
atio
n w
hos
e gr
aph
is
a st
raig
ht
lin
e is
cal
led
a li
nea
r A
equ
atio
n.
Chapter Resources
Answers (Anticipation Guide and Lesson 3-1)
Chapter 3 A1 Course 2
Cop
yrig
ht ©
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ncoe
/McG
raw
-Hill
, a
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he M
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ill C
ompa
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PDF Proof
3-1
Cha
pter
311
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Wri
te e
ach
ph
rase
as
an a
lgeb
raic
exp
ress
ion
.
1.b
plu
s 1
b�
12.
thre
e m
ore
than
xx
�3
3.tw
elve
min
us
y12 �
y4.
seve
n l
ess
than
nn
�7
5.fi
ve y
ears
you
nge
r th
an J
essi
caj
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6.a
nu
mbe
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ur
incr
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a4
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ght
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mor
e th
an m
m�
8
9.th
e pr
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f c
and
1010c
10.
twic
e as
man
y da
ys2d
11.
thre
e ti
mes
as
man
y so
ft d
rin
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12.
tm
ult
ipli
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y 14
14t
13.
Em
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s ag
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24 d
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15.
a n
um
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of �
15 a
nd
w��
w15 �
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s an
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17.
A n
um
ber
plu
s th
ree
is 9
.18
.T
he
sum
of
xan
d 2
is 1
0.n
�3
�9
x�
2�
10
19.
Fou
r ce
nts
mor
e th
an t
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93¢
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.F
ifte
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is 7
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21.
A n
um
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s 12
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ive
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less
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24.
n �
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124
23.
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Th
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6 is
54.
26.
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um
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divi
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by 6
is
12.
6z
�54
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12
27.
72 d
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is �
9.28
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ude
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sep
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nto
ncl
asse
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25.
�7 y2 ��
�9
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n75 �
�25
29.
On
e m
ore
than
tw
ice
as m
any
CD
s is
17.
2c
�1
�17
30.
Fou
r le
ss t
han
th
ree
tim
es a
nu
mbe
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14.
3n
�4
�14
Skill
s Pr
actic
eW
riti
ng
Exp
ressio
ns a
nd
Eq
uati
on
s
Lesson 3–1
3-1
Cha
pter
310
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Th
e ta
ble
belo
w s
how
s ph
rase
s w
ritt
en a
s m
ath
emat
ical
exp
ress
ion
s.
Th
e ta
ble
belo
w s
how
s se
nte
nce
s w
ritt
en a
s an
equ
atio
n.
Wri
te e
ach
ph
rase
as
an a
lgeb
raic
exp
ress
ion
.
1.7
less
th
an m
m�
72.
the
quot
ien
t of
3 a
nd
y�3 y�
3.th
e to
tal
of 5
an
d c
5 �
c4.
the
diff
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ce o
f 6
and
r6 �
r
5.n
divi
ded
by 2
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the
prod
uct
of
kan
d 9
9k
Wri
te e
ach
sen
ten
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s an
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7.A
nu
mbe
r in
crea
sed
by 7
is
11.
n�
7�
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8.T
he
pric
e de
crea
sed
by $
4 is
$29
.p
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9.T
wic
e as
man
y po
ints
as
Bob
wou
ld b
e 18
poi
nts
.2b
�18
10.
Aft
er d
ivid
ing
the
mon
ey 5
way
s,ea
ch p
erso
n g
ot $
67.
�m 5��
67
11.
Th
ree
mor
e th
an 8
tim
es a
s m
any
tree
s is
75
tree
s.8t
�3
�75
12.
Sev
en l
ess
than
a n
um
ber
is 1
5.n
�7
�15
Stud
y Gu
ide
and
Inte
rven
tion
Wri
tin
g E
xp
ressio
ns a
nd
Eq
uati
on
s
Ph
rases
Exp
ressio
nP
hra
ses
Exp
ressio
n
9 m
ore
than
a n
umbe
rth
e su
m o
f 9
and
a nu
mbe
ra
num
ber
plus
9a
num
ber
incr
ease
d by
9th
e to
tal o
f x
and
9
x�
9
4 su
btra
cted
fro
m a
num
ber
a nu
mbe
r m
inus
44
less
tha
n a
num
ber
a nu
mbe
r de
crea
sed
by 4
the
diffe
renc
e of
han
d 4
h�
4
Ph
rases
Exp
ressio
nP
hra
ses
Exp
ressio
n
6 m
ultip
lied
by g
6 tim
es a
num
ber
the
prod
uct
of g
and
66g
a nu
mbe
r di
vide
d by
5th
e qu
otie
nt o
f t
and
5di
vide
a n
umbe
r by
5� 5t �
Sen
ten
ces
Eq
uati
on
Six
ty le
ss t
han
thre
e tim
es t
he a
mou
nt is
$59
.T
hree
tim
es t
he a
mou
nt le
ss 6
0 is
equ
al t
o 59
.59
is e
qual
to
60 s
ubtr
acte
d fr
om t
hree
tim
es a
num
ber.
A n
umbe
r tim
es t
hree
min
us 6
0 eq
uals
59.
3n�
60�
59
Exer
cise
s
Answers (Lesson 3-1)
Chapter 3 A2 Course 2
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a
divi
sion
of T
he M
cGra
w-H
ill C
ompa
nies
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c.
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An
swer
s
3-1
Cha
pter
313
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
OLY
MPI
CS
For
Exe
rcis
es 1
–4,u
se t
he
tab
le t
hat
sh
ows
the
nu
mb
er o
fm
edal
s w
on b
y ea
ch c
oun
try
in t
he
2006
Win
ter
Oly
mp
ics.
Let
xre
pre
sen
t th
e n
um
ber
of
med
als
won
by
Ital
y.
Wor
d Pr
oble
m P
ract
ice
Wri
tin
g E
xp
ressio
ns a
nd
Eq
uati
on
s
1.W
rite
an
exp
ress
ion
usi
ng
xto
repr
esen
t th
e n
um
ber
of m
edal
s w
on
by N
orw
ay.
x�
8
2.W
rite
an
exp
ress
ion
usi
ng
xto
repr
esen
t th
e n
um
ber
of m
edal
s w
on
by t
he
Cze
ch R
epu
blic
.x
�7
3.W
hic
h c
oun
try’
s n
um
ber
of m
edal
s ca
nbe
rep
rese
nte
d by
2x?
Ru
ssia
4.W
hic
h c
oun
try’
s n
um
ber
of m
edal
s ca
nbe
rep
rese
nte
d by
2x
�3?
US
A
5.G
EOG
RA
PHY
Th
e V
irgi
n I
slan
ds w
ere
acqu
ired
by
the
Un
ited
Sta
tes
in 1
927.
Th
is i
s 29
yea
rs a
fter
Pu
erto
Ric
o w
asac
quir
ed.W
rite
an
equ
atio
n t
o m
odel
this
sit
uat
ion
.y
�29
�1927
6.PO
PULA
TIO
NA
ccor
din
g to
th
e C
ensu
sB
ure
au,t
he
U.S
.pop
ula
tion
gre
w f
rom
281.
4 m
illi
on i
n A
pril
200
0 to
284
.8m
illi
on i
n J
uly
200
1.W
rite
an
equ
atio
nto
mod
el t
his
sit
uat
ion
.281.4
�x
�284.8
2006
Win
ter
Oly
mp
ic M
edal
s
Cou
ntr
yM
edal
sC
oun
try
Med
als
Cou
ntr
yM
edal
s
Ger
man
yU
SA
Can
ada
Au
stri
aR
uss
ia
29 25 24 23 22
Nor
way
Sw
eden
Sw
itze
rlan
dK
orea
Ital
y
19 14 14 11 11
Ch
ina
Fra
nce
Net
her
lan
dsF
inla
nd
Cze
ch R
epu
blic
11 9 9 9 4
Lesson 3–1
3-1
Cha
pter
312
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Wri
te e
ach
ph
rase
as
an a
lgeb
raic
exp
ress
ion
.
1.th
e pr
odu
ct o
f �
5 an
d x
2.tw
enty
in
crea
sed
by k
�5x
20 �
k
3.fi
ve i
nch
es m
ore
than
th
e h
eigh
t4.
one
fou
rth
of
yh
�5
�1 4�y
5.B
ill’s
wei
ght
decr
ease
d by
eig
hte
en6.
the
quot
ien
t of
3 a
nd
a n
um
ber
w�
18
� n3 �
7.fi
ve l
ess
than
fou
r ti
mes
as
man
y w
omen
8.$6
0 m
ore
than
th
e re
nt
paym
ent
4w
�5
r�
60
9.9
min
ute
s le
ss t
han
Ch
ang’
s ti
me
10.
thre
e m
ore
pan
cake
s th
an h
is b
roth
er a
tet
�9
b�
3
Wri
te e
ach
sen
ten
ce a
s an
alg
ebra
ic e
qu
atio
n.
11.
Fiv
e ti
mes
th
e n
um
ber
of b
ooks
is
95.
12.
The
dif
fere
nce
of n
ine
and
a nu
mbe
r is
nin
e.5b
�95
9 �
n�
9
13.
Th
e su
m o
f th
e av
erag
e an
d fo
ur
is �
6.14
.T
hre
e m
eter
s lo
nge
r th
an t
he
pool
is
8.a
�4 �
�6
p�
3 �
8
15.
Tw
elve
les
s a
nu
mbe
r is
40.
16.
Th
e pr
odu
ct o
f se
ven
an
d L
ynn
’s a
ge i
s 28
.12 �
n�
40
7a
�28
For
Exe
rcis
es 1
7 an
d 1
8,w
rite
an
eq
uat
ion
th
at m
odel
s ea
chsi
tuat
ion
.
17.
FUR
NIT
UR
ET
he
wid
th o
f a
book
shel
f is
2 f
eet
shor
ter
than
th
e h
eigh
t.If
th
e w
idth
is
1.5
feet
,wh
at i
s th
e h
eigh
t of
th
e bo
oksh
elf?
h
�2 �
1.5
18.
SPO
RTS
Th
e ci
rcu
mfe
ren
ce o
f a
bask
etba
ll,t
he
dist
ance
aro
un
d,is
abo
ut
thre
e ti
mes
the
circ
um
fere
nce
of
a so
ftba
ll.I
f th
e ci
rcu
mfe
ren
ce o
f th
e ba
sket
ball
is
75 c
enti
met
ers,
wh
at i
s th
e ci
rcu
mfe
ren
ce o
f a
soft
ball
? 3c
�75
GEO
MET
RYF
or E
xerc
ises
19
and
20,
des
crib
e th
e re
lati
onsh
ip t
hat
exi
sts
bet
wee
n t
he
bas
e an
d
the
hei
ght
of e
ach
tri
angl
e.
19.
Th
e ba
se i
s b,
and
the
hei
ght
is b
�4.
Th
e h
eig
ht
is 4
less t
han
th
e b
ase
.
20.
Th
e h
eigh
t is
h,a
nd
the
base
is
2h.
Th
e b
ase i
s t
wo
tim
es (
twic
e)
the h
eig
ht.
Prac
tice
Wri
tin
g E
xp
ressio
ns a
nd
Eq
uati
on
s
heig
ht
base
Answers (Lesson 3-1)
Chapter 3 A3 Course 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.
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PDF Proof
3-2
Cha
pter
315
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
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
136
in y
our
text
boo
k.
Wri
te y
our
answ
ers
bel
ow.
1.W
hat
doe
s x
repr
esen
t in
th
e fi
gure
? n
um
ber
of
gam
es i
nit
ially h
ad
2.W
hat
add
itio
n e
quat
ion
is
show
n i
n t
he
figu
re?
x�
2 =
6
3.E
xpla
in h
ow t
o so
lve
the
equ
atio
n.
Fin
d t
he n
um
ber
that
wh
en
ad
ded
to
2 i
s 6
.
4.H
ow m
any
gam
es d
id M
ax h
ave
in t
he
begi
nn
ing?
4
Rea
d t
he
Less
on
5.M
atch
th
e m
eth
od o
f so
lvin
g w
ith
th
e ap
prop
riat
e eq
uat
ion
.
x�
5�
9a.
add
2 to
eac
h s
ide
�2
�y
�1
b.
add
5 to
eac
h s
ide
5 �
m�
1c.
subt
ract
5 f
rom
eac
h s
ide
r�
9�
�7
d.
add
1 to
eac
h s
ide
k�
5�
�2
e.su
btra
ct 9
fro
m e
ach
sid
e
6.E
xpla
in i
n w
ords
how
to
solv
e ea
ch e
quat
ion
.
a�
10�
3
4�
t��
12
18�
n�
7
7.S
olve
eac
h e
quat
ion
.
a.w
�23
��
11�
34
b.
35�
z�
1550
c.42
�c
��
9�
51
Rem
emb
er W
hat
Yo
u L
earn
ed
8.T
ake
turn
s w
ith
a p
artn
er e
xpla
inin
g th
e A
ddit
ion
an
d S
ubt
ract
ion
Pro
pert
ies
of E
qual
ity
in y
our
own
wor
ds.T
hen
eac
h o
f yo
u w
rite
tw
oad
diti
on a
nd
two
subt
ract
ion
equ
atio
ns.
Tra
de e
quat
ion
s an
d so
lve.
Ch
eck
you
r w
ork
by e
xpla
inin
g to
eac
h o
ther
th
e m
eth
od y
ou u
sed
to s
olve
th
eeq
uat
ion
s.S
ee s
tud
en
ts’an
sw
ers
.
Ad
d s
even
to
each
sid
e a
nd
sim
plify
.
Su
btr
act
fou
r fr
om
each
sid
e a
nd
sim
plify
.
Ad
d t
en
to
each
sid
e a
nd
sim
plify
.
bedac
Less
on R
eadi
ng G
uide
So
lvin
g A
dd
itio
n a
nd
Su
btr
acti
on
Eq
uati
on
s
Lesson 3–2
3-1
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
314
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Fig
ura
te n
um
bers
are
nu
mbe
rs t
hat
can
be
show
n w
ith
dot
s ar
ran
ged
insp
ecif
ic g
eom
etri
c pa
tter
ns.
Bel
ow a
re t
he
firs
t fi
ve s
quar
e n
um
bers
.
Th
e ex
pres
sion
n2
wil
l gi
ve y
ou t
he
nu
mbe
r of
dot
s in
th
e n
th s
quar
e n
um
ber.
Th
e va
riab
le n
take
s on
th
e va
lues
1,2
,3,4
,an
d so
on
.So,
to f
ind
the
10th
squ
are
nu
mbe
r,yo
u w
ould
use
10
for
n.
1.M
atch
eac
h s
et o
f do
t pa
tter
ns
wit
h i
ts n
ame
and
expr
essi
on.W
rite
exer
cise
nu
mbe
rs i
n t
he
boxe
s to
sh
ow t
he
mat
chin
gs.
a. b. c.
Use
th
e al
geb
raic
exp
ress
ion
s on
th
is p
age
to c
omp
ute
eac
h n
um
ber
.T
hen
mak
e a
dra
win
g of
th
e n
um
ber
on
a s
epar
ate
shee
t of
pap
er.
2.6t
h s
quar
e3.
4th
tri
angu
lar
4.4t
h p
enta
gon
al36
10
22
5.4t
h h
exag
onal
6.5t
h t
rian
gula
r7.
5th
pen
tago
nal
28
15
35
Enri
chm
ent
Exp
ressio
ns f
or
Fig
ura
te N
um
bers
Dot
Pat
tern
s fo
r S
econ
d a
nd
Th
ird
Nu
mb
ers
Nam
e of
F
igu
rate
Nu
mb
erE
xpre
ssio
n
pen
tago
nal
bn
(2n
�1)
c
hex
agon
alc
�n(n
2�1)
�a
tria
ngu
lar
a�n
(3n 2�
1)�
b
Answers (Lessons 3-1 and 3-2)
Chapter 3 A4 Course 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.
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PDF Proof
An
swer
s
3-2
Cha
pter
317
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.x
�2
�8
2.y
�7
�9
3.a
�5
�12
62
7
4.16
�n
�6
5.q
�10
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6.m
�9
�17
10
12
8
7.b
�4
�9
8.8
�c
�4
9.11
�t
�7
13
12
18
10.
d �
10�
811
.x
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12.
2�
z �
1418
20
16
13.
72�
24�
w14
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15.
6�
y�
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13
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16.
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17.
n�
3.5
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718
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6�
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3.2
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19.
98�
t �
18
20.
12�
g �
5621
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2116
68
16
22.
p �
11�
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23.
a �
1.5
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224
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4�
n �
2.6
65.7
10
Skill
s Pr
actic
eS
olv
ing
Ad
dit
ion
an
d S
ub
tracti
on
Eq
uati
on
s
Lesson 3–2
3-2
Cha
pter
316
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Sol
ve x
�5
�11
.Ch
eck
you
r so
luti
on.
x�
5 ¬�
11W
rite
the
equa
tion.
� 5
¬��
5S
ubtr
act
5 fr
om e
ach
side
.
x¬�
6S
impl
ify.
Ch
eck
x�
5¬�
11W
rite
the
equa
tion.
6�
5¬�
11R
epla
ce x
with
6.
11¬�
11 ✓
Thi
s se
nten
ce is
tru
e.
Th
e so
luti
on i
s 6. S
olve
15
�t
�12
.Ch
eck
you
r so
luti
on.
15¬�
t �
12W
rite
the
equa
tion.
�12
¬��
12A
dd 1
2 to
eac
h si
de.
27¬�
tS
impl
ify.
Ch
eck
15¬�
t�
12W
rite
the
equa
tion.
15¬�
27 �
12R
epla
ce t
with
27.
15¬�
15 ✓
Thi
s se
nten
ce is
tru
e.
Th
e so
luti
on i
s 27
.
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.h
�3
�14
11
2.m
�8
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14
3.p
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4.17
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9
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k�
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11
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j �
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1830
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Rem
embe
r, eq
uatio
ns m
ust a
lway
s re
mai
n ba
lanc
ed.I
f you
sub
trac
t the
sam
e nu
mbe
r fr
om e
ach
side
of a
n eq
uatio
n, th
e tw
o si
des
rem
ain
equa
l.A
lso,
if y
ou a
dd th
e sa
me
num
ber
to e
ach
side
of a
neq
uatio
n, th
e tw
o si
des
rem
ain
equa
l.
Stud
y Gu
ide
and
Inte
rven
tion
So
lvin
g A
dd
itio
n a
nd
Su
btr
acti
on
Eq
uati
on
s
Exam
ple
1
Exam
ple
2
Exer
cise
s
Answers (Lesson 3-2)
Chapter 3 A5 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A5 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
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3-2
Cha
pter
319
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
AN
IMA
LSF
or E
xerc
ises
1–4
,use
th
e ta
ble
.
Th
e av
erag
e li
fesp
ans
of s
ever
al d
iffe
ren
t ty
pes
of a
nim
als
are
show
n i
n t
he
tabl
e.
Wor
d Pr
oble
m P
ract
ice
So
lvin
g A
dd
itio
n a
nd
Su
btr
acti
on
Eq
uati
on
s
1.T
he
life
span
of
a bl
ack
bear
is
3 ye
ars
lon
ger
than
th
e li
fesp
an o
f a
zebr
a.W
rite
an
add
itio
n e
quat
ion
th
at y
ouco
uld
use
to
fin
d th
e li
fesp
an o
f a
zebr
a.z
�3
�18
2.S
olve
th
e eq
uat
ion
you
wro
te i
nE
xerc
ise
1.W
hat
is
the
life
span
of
a z
ebra
?
15 y
r
3.T
he
life
span
of
a gu
inea
pig
is
8 ye
ars
shor
ter
than
th
e li
fesp
an o
f a
pum
a.W
rite
a s
ubt
ract
ion
equ
atio
n t
hat
yo
u c
ould
use
to
fin
d th
e li
fesp
an
of a
pu
ma.
p�
8�
4
4.S
olve
th
e eq
uat
ion
you
wro
te i
nE
xerc
ise
3.W
hat
is
the
life
span
of
a p
um
a?
12 y
r
5.TE
CH
NO
LOG
YA
su
rvey
of
teen
s sh
owed
that
tee
ns
in P
itts
burg
h a
ged
12-1
7sp
end
15.8
hou
rs p
er w
eek
onli
ne.
Tee
ns
in M
iam
i/Ft.
Lau
derd
ale
spen
d14
.2 h
ours
per
wee
k on
lin
e.W
rite
an
dso
lve
an a
ddit
ion
equ
atio
n t
o fi
nd
the
diff
eren
ce i
n t
ime
spen
t on
lin
e by
tee
ns
in t
hes
e ci
ties
.14.2
�d
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;1.6
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week
6.SP
OR
TSA
nn
ika
Sor
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am w
on t
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2006
Mas
terC
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Cla
ssic
wit
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fin
alsc
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un
der
par,
or �
8.H
er s
core
sfo
r th
e fi
rst
two
of t
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thre
e ro
un
dsw
ere
�5
and
�1.
Wh
at w
as M
s.S
oren
stam
’s s
core
for
th
e th
ird
rou
nd?
�2
Ave
rage
Lif
esp
ans
of A
nim
als
An
imal
Lif
esp
an (
yr)
An
imal
Lif
esp
an (
yr)
Bla
ck B
ear
Dog
Gir
affe
Gra
y S
quir
rel
18 12 10 10
Gu
inea
Pig
Pu
ma
Tig
erZ
ebra
4 ? 16 ?
Lesson 3–2
3-2
Cha
pter
318
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.a
�4
�11
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9 an
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0,w
rite
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.Th
en s
olve
th
e eq
uat
ion
.
19.
CA
FFEI
NE
A c
up
of b
rew
ed t
ea h
as 5
4 m
illi
gram
s le
ss c
affe
ine
than
a c
up
of
brew
ed c
offe
e.If
a c
up
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ea h
as 6
6 m
illi
gram
s of
caf
fein
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ow m
uch
caf
fein
e is
in
a c
up
of c
offe
e?c
�54 �
66;
c�
120;
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up
of
co
ffee h
as 1
20 m
illig
ram
s o
f caff
ein
e.
20.
GEO
MET
RYT
he
sum
of
the
mea
sure
s of
th
e an
gles
of
a tr
apez
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60�.
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d th
e m
issi
ng
mea
sure
.d
��
100
��
110
��
80
��
360
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70
�Prac
tice
So
lvin
g A
dd
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n a
nd
Su
btr
acti
on
Eq
uati
on
s
80˚
100˚
110˚
d ˚
Answers (Lesson 3-2)
Chapter 3 A6 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A6 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
3-2
Cha
pter
321
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
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___
A c
alcu
lato
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ay b
e h
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add
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.
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ENTER
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Scie
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lcul
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Act
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So
lvin
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qu
ati
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Lesson 3–2
Exer
cise
s
Exam
ple
1
Exam
ple
2
3-2
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
320
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Th
is f
igu
re i
s ca
lled
a h
exa-
maz
ebe
cau
se e
ach
cel
l h
as t
he
shap
e of
ah
exag
on,o
r si
x-si
ded
figu
re.
To
solv
e th
e m
aze,
star
t w
ith
th
e n
um
ber
in t
he
cen
ter.
Th
is n
um
ber
is t
he
solu
tion
to
the
equ
atio
n i
n o
ne
of t
he
adja
cen
t ce
lls.
Mov
e to
th
at c
ell.
Th
en
um
ber
in t
he
new
cel
l w
ill
then
be
the
solu
tion
to
the
equ
atio
n i
n t
he
nex
tce
ll.A
t ea
ch m
ove,
you
may
on
ly m
ove
to a
n a
djac
ent
cell
.Eac
h c
ell
is u
sed
only
on
ce.
n �
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chm
ent
Eq
uati
on
Hexa-m
aze
Answers (Lesson 3-2)
Chapter 3 A7 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A7 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
3-3
Cha
pter
323
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Sol
ve 4
5 �
5x.C
hec
k y
our
solu
tion
.
45¬�
5xW
rite
the
equa
tion.
�4 55 �¬�
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ivid
e ea
ch s
ide
of t
he e
quat
ion
by 5
.
9¬�
x45
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Ch
eck
45 �
5xW
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the
orig
inal
equ
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n.45
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9)R
epla
ce x
with
9.I
s th
is s
ente
nce
true
?45
�45
✓
Th
e so
luti
on i
s 9. S
olve
�21
��
3y.C
hec
k y
our
solu
tion
.
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3yW
rite
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tion.
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3 3y �D
ivid
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ide
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3.
7 �
y�
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(�3)
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eck
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rite
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inal
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atio
n.�
21¬�
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7)R
epla
ce y
with
7.I
s th
is s
ente
nce
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21¬�
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✓
Th
e so
luti
on i
s 7.
Sol
ve e
ach
eq
uat
ion
.Th
en c
hec
k y
our
solu
tion
.
1.8q
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72.
4p�
328
3.42
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If ea
ch s
ide
of a
n eq
uatio
n is
div
ided
by
the
sam
e no
n-ze
ro n
umbe
r, th
e re
sulti
ng e
quat
ion
is
equi
vale
nt t
o th
e gi
ven
one.
You
can
use
this
pro
pert
y to
sol
ve e
quat
ions
invo
lvin
g m
ultip
licat
ion
and
divi
sion
.
Stud
y Gu
ide
and
Inte
rven
tion
So
lvin
g M
ult
iplicati
on
Eq
uati
on
s
Lesson 3–3
Exer
cise
s
Exam
ple
1
Exam
ple
2
3-3
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
322
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Get
Rea
dy
for
the
Less
on
Com
ple
te t
he
Min
i L
ab a
t th
e to
p o
f p
age
142
in y
our
text
boo
k.
Wri
te y
our
answ
ers
bel
ow.
Sol
ve e
ach
eq
uat
ion
usi
ng
mod
els
or a
dra
win
g.1-5
.S
ee s
tud
en
ts’m
od
els
or
dra
win
gs.S
olu
tio
ns a
re g
iven
.
1.2.
4�
4
3.4x
�20
54.
8�
2x4
5.3x
��
9�
3
6.W
hat
ope
rati
on d
id y
ou u
se t
o fi
nd
each
sol
uti
on?
div
isio
n
7.H
ow c
an y
ou u
se t
he
coef
fici
ent
of x
to s
olve
8x
�40
?D
ivid
e e
ach
sid
e b
y 8
.
Rea
d t
he
Less
on
8.C
ompl
ete
each
sen
ten
ce.
a.T
o so
lve
4x�
36,d
ivid
e ea
ch s
ide
by _
____
___.
4
b.
To
solv
e �
27�
�3d
,div
ide
each
sid
e by
___
____
_.�
3
c.T
o so
lve
15h
��
75,d
ivid
e ea
ch s
ide
by _
____
___.
15
d.
To
solv
e �
8a�
96,d
ivid
e ea
ch s
ide
by _
____
___.
�8
9.W
rite
an
d so
lve
two
diff
eren
t eq
uat
ion
s th
at b
oth
req
uir
e yo
u t
o di
vide
each
sid
e by
�2
in o
rder
to
solv
e.S
am
ple
an
sw
er:
�2b
�14,
b�
�7;
26
��
2y,y
��
13
Rem
emb
er W
hat
Yo
u L
earn
ed10
.In
you
r ow
n w
ords
,def
ine
the
Div
isio
n P
rope
rty
of E
qual
ity.
Des
crib
e a
real
-lif
e si
tuat
ion
in
wh
ich
you
may
nee
d to
use
th
e D
ivis
ion
Pro
pert
y of
Equ
alit
y.S
am
ple
an
sw
er:
Wh
en
yo
u d
ivid
e e
ach
sid
e o
f an
eq
uati
on
by t
he s
am
e n
on
zero
nu
mb
er,
the t
wo
sid
es r
em
ain
eq
ual.
Su
pp
ose y
ou
have 2
5 p
ieces o
f can
dy t
o s
hare
am
on
gst
4 f
rien
ds.T
his
is r
ep
resen
ted
by t
he e
qu
ati
on
5c
�25 w
here
c�
5,so
yo
u a
nd
yo
ur
4 f
rien
ds g
et
5 p
ieces
of
can
dy e
ach
.
Less
on R
eadi
ng G
uide
So
lvin
g M
ult
iplicati
on
Eq
uati
on
s
11
11
11
11
11
11
x x x 3x�
12
�
�1
�1
�1
�1
�1
�1
�1
�1
x x 2x�
�8
�
Answers (Lesson 3-3)
Chapter 3 A8 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A8 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
Cha
pter
325
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-3
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.8e
�32
2.4v
��
83.
7k�
�7
e�
4v
��
2k
��
1
4.18
�3y
5.4j
�0
6.�
11x
��
44y
�6
j�
0x �
4
7.5a
�5
8.�
1c�
89.
15 �
5ba
�1
c�
�8
b�
3
10.
�2w
��
1411
.9f
�45
12.
13m
��
26w
�7
f�
5m
��
2
13.
1.4t
�2.
814
.0.
9g�
5.4
15.
2.5
�0.
5ht
�2
g�
6h
�5
16.
3.74
�1.
7d17
.4.
1z�
16.8
118
.5.
2q�
3.64
d�
2.2
z �
4.1
q�
0.7
For
Exe
rcis
es 1
9 an
d 2
0,w
rite
an
eq
uat
ion
.Th
en s
olve
th
e eq
uat
ion
.
19.
TRA
VEL
A c
hee
tah
can
tra
vel
at a
n a
maz
ing
spee
d of
32
met
ers
per
seco
nd
wh
ench
asin
g it
s pr
ey.
At
that
rat
e,h
ow l
ong
wou
ld i
t ta
ke t
he
chee
tah
to
run
2,0
00 m
eter
s?2,0
00 �
32t;
t�
62.5
;It
wo
uld
take t
he c
heeta
h 6
2.5
seco
nd
s t
o
run
2000 m
ete
rs.
20.
AU
TO L
OA
NM
rs.K
im b
orro
wed
$1,
350
to b
uy
a u
sed
auto
mob
ile.
If s
he
repa
ys
$75
a m
onth
,how
man
y m
onth
s w
ill
it t
ake
to p
ay b
ack
the
loan
? 75m
�1,3
50;
m�
18;
It w
ill
take M
rs.K
im 1
8 m
on
ths t
o r
ep
ay t
he l
oan
.
Prac
tice
So
lvin
g M
ult
iplicati
on
Eq
uati
on
s
Lesson 3–3
3-3
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
324
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.4c
�16
2.10
x�
503.
42�
6s4
57
4.9c
�45
5.49
�7y
6.
11t�
445
74
7.15
a�
608.
72�
12c
9.18
x�
162
46
9
10.
14d
�15
411
.24
z�
288
12.
16v
�25
611
12
16
13.
�5b
�40
14.
32�
�2f
15.
�9x
��
63�
8�
16
7
16.
4g�
�52
17.
�5x
��
8518
.�
63�
7a�
13
17
�9
19.
0.6m
�1.
820
.1.
5z�
621
.0.
6q�
3.6
34
6
22.
1.8a
�0.
923
.1.
2r�
4.8
24.
2.4
�0.
2t0.5
412
Skill
s Pr
actic
e S
olv
ing
Mu
ltip
licati
on
Eq
uati
on
s
Answers (Lesson 3-3)
Chapter 3 A9 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A9 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
Cha
pter
327
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-3
Equ
atio
ns
of t
he
form
y�
axan
d y
�x
�a
can
be
use
d to
sh
ow h
ow o
ne
quan
tity
var
ies
wit
h a
not
her
.Her
e ar
e tw
o ex
ampl
es.
Dri
vin
g at
a s
peed
of
50 m
iles
per
hou
r,th
e di
stan
ce y
ou t
rave
l d
vari
es
d�
50t
dire
ctly
wit
h t
he
tim
e yo
u a
re o
ne
the
road
t.T
he
lon
ger
you
dri
ve,t
he
fart
her
you
get
.
It i
s al
so t
he
case
th
at t
he
tim
e t
vari
es d
irec
tly
wit
h t
he
dist
ance
d.
t�� 5d 0�
Th
e fa
rth
er y
ou d
rive
,th
e m
ore
tim
e it
tak
es.
Com
ple
te t
he
equ
atio
n f
or e
ach
sit
uat
ion
.Th
en d
escr
ibe
the
rela
tion
ship
in
wor
ds.
1.If
you
go
on a
die
t an
d lo
se 2
pou
nds
a m
onth
,aft
er a
cer
tain
nu
mbe
r of
mon
ths
m,y
ou w
ill
hav
e lo
st p
pou
nds
.p
�2m
;T
he l
on
ger
yo
u d
iet,
the m
ore
weig
ht
yo
u w
ill
lose
.
2.Yo
u a
nd
you
r fa
mil
y ar
e de
cidi
ng
betw
een
tw
o di
ffer
ent
plac
es f
or
you
r su
mm
er v
acat
ion
.You
pla
n t
o tr
avel
by
car
and
esti
mat
e yo
u w
ill
aver
age
55 m
iles
per
hou
r.T
he
dist
ance
tra
vele
d d
wil
l re
sult
in
a
trav
el t
ime
of t
hou
rs.
t�
� 5d 5�;T
he f
art
her
yo
u d
rive
,th
e m
ore
tim
e i
t w
ill
take
.
3.Yo
u f
ind
that
you
are
spe
ndi
ng
mor
e th
an y
ou h
ad p
lan
ned
on
ren
tin
g vi
deo
mov
ies.
It c
osts
$2.
00 t
o re
nt
each
mov
ie.Y
ou c
an u
se t
he
tota
l am
oun
t sp
ent
ato
fin
d th
e n
um
ber
of m
ovie
s yo
u h
ave
ren
ted
m.
m�
�a 2�;T
he g
reate
r th
e a
mo
un
t sp
en
t,th
e m
ore
mo
vie
s r
en
ted
.
4.Yo
u s
pen
d $3
0 a
mon
th t
o ta
ke t
he
bus
to s
choo
l.A
fter
a c
erta
in
nu
mbe
r of
mon
ths
m,y
ou w
ill
hav
e sp
ent
a to
tal
of d
olla
rs d
on
tran
spor
tati
on t
o sc
hoo
l.d
�30m
;T
he l
on
ger
yo
u r
ide t
he b
us,
the m
ore
yo
u w
ill
sp
en
d.
5.Yo
u a
re s
avin
g m
oney
for
som
e n
ew a
thle
tic
equ
ipm
ent
and
hav
e 12
wee
ks b
efor
e th
e se
ason
sta
rts.
Th
e am
oun
t yo
u n
eed
to s
ave
each
w
eek
sw
ill
depe
nd
on t
he
cost
cof
th
e eq
uip
men
t yo
u w
ant
to b
uy.
s�
� 1c 2�;T
he m
ore
exp
en
siv
e t
he e
qu
ipm
en
t,th
e m
ore
mo
ney
mu
st
be s
aved
each
week.
Enri
chm
ent
Dir
ect
Vari
ati
on
Lesson 3–3
Cha
pter
326
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-3
Wor
d Pr
oble
m P
ract
ice
So
lvin
g M
ult
iplicati
on
Eq
uati
on
s
1.TR
AV
ELT
he
spee
d li
mit
on
an
Ari
zon
ah
igh
way
is
75 m
iles
per
hou
r.S
upp
ose
a tr
uck
tra
veli
ng
at t
he
spee
d li
mit
driv
es 2
25 m
iles
bef
ore
the
driv
er s
tops
for
a br
eak.
Wri
te a
mu
ltip
lica
tion
equ
atio
n t
o fi
nd
the
len
gth
of
tim
e th
etr
uck
has
tra
vele
d.75t
�225
2.TR
AV
ELS
olve
th
e eq
uat
ion
you
wro
te i
nE
xerc
ise
1.H
ow l
ong
did
the
tru
cktr
avel
?
3 h
3.FL
OW
ERS
A g
arde
nin
g ex
pert
reco
mm
ends
th
at f
low
er b
ulb
s be
plan
ted
to a
dep
th o
f th
ree
tim
es t
hei
rh
eigh
t.S
upp
ose
Jen
na
dete
rmin
es t
hat
a ce
rtai
n b
ulb
sh
ould
be
plan
ted
at a
dept
h o
f 4.
5 in
ches
.Wri
te a
mu
ltip
lica
tion
equ
atio
n t
o fi
nd
the
hei
ght
of t
he
bulb
.3h
�4.5
4.FL
OW
ERS
Sol
ve t
he
equ
atio
n y
ou w
rote
in E
xerc
ise
3.W
hat
is
the
hei
ght
of t
he
bulb
?
1.5
in
.
5.EX
ERC
ISE
A 1
25-p
oun
d pe
rson
use
s 4.
4 C
alor
ies
per
min
ute
wh
en w
alki
ng.
Wri
te a
mu
ltip
lica
tion
equ
atio
n t
o fi
nd
the
nu
mbe
r of
min
ute
s of
wal
kin
g it
wil
l ta
ke f
or a
125
-pou
nd
pers
on t
o u
se19
8 C
alor
ies.
4.4
m�
198
6.EX
ERC
ISE
Sol
ve t
he
equ
atio
n y
ou w
rote
in E
xerc
ise
5.H
ow m
any
min
ute
s of
wal
kin
g it
wil
l ta
ke f
or a
125
-pou
nd
pers
on t
o u
se 1
98 C
alor
ies?
45 m
in
7.EL
ECTR
ICIT
YT
he
elec
tric
com
pan
ych
arge
s $0
.06
per
kilo
wat
t h
our
ofel
ectr
icit
y u
sed.
Wri
te a
mu
ltip
lica
tion
equ
atio
n t
o fi
nd
the
nu
mbe
r of
kil
owat
th
ours
of
elec
tric
ity
for
wh
ich
th
eE
stev
ez f
amil
y w
as c
har
ged
if t
hei
rel
ectr
ic b
ill
was
$45
.84.
0.0
6k
�45.8
4
8.EL
ECTR
ICIT
YS
olve
th
e eq
uat
ion
you
wro
te i
n E
xerc
ise
7.F
or h
ow m
any
kilo
wat
t h
ours
of
elec
tric
ity
was
th
eE
stev
ez f
amil
y ch
arge
d?764 k
ilo
watt
h
Answers (Lesson 3-3)
Chapter 3 A10 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A10 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
Cha
pter
329
Cou
rse
2
Sol
ve.
Use
th
e w
ork
bac
kw
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
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-4
Exer
cise
s
Answers (Lesson 3-4)
Chapter 3 A11 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A11 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
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
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
Answers (Lesson 3-4)
Chapter 3 A12 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A12 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
Cha
pter
333
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-5
Sol
ve 7
v�
3�
25.C
hec
k y
our
solu
tion
.
7v �
3�
25W
rite
the
equa
tion.
�3
��
3A
dd 3
to
each
sid
e.7v
�28
Sim
plify
.
�7 7v ��
�2 78 �D
ivid
e ea
ch s
ide
by 7
.
v�
4S
impl
ify.
Ch
eck
7v �
3¬�
25W
rite
the
orig
inal
equ
atio
n.7(
4) �
3¬�
25R
epla
ce v
with
4.
28 �
3¬�
25M
ultip
ly.
25¬�
25 ✓
The
sol
utio
n ch
ecks
.
Th
e so
luti
on i
s 4. S
olve
�10
�8
�3x
.Ch
eck
you
r so
luti
on.
�10
¬�8
�3x
Writ
e th
e eq
uatio
n.�
8¬�
�8
Sub
trac
t 8
from
eac
h si
de.
�18
¬�3x
Sim
plify
.
��318 �
¬��3 3x �
Div
ide
each
sid
e by
3.
�6¬
�x
Sim
plify
.
Ch
eck
�10
¬�8
�3x
Writ
e th
e or
igin
al e
quat
ion.
�10
¬�8
�3(
�6)
Rep
lace
xw
ith �
6.�
10¬�
8 �
(�18
)M
ultip
ly.
�10
¬��
10 ✓
The
sol
utio
n ch
ecks
.
Th
e so
luti
on i
s �
6.
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.4y
�1
�13
2.6x
�2
�26
3.�
3�
5k�
74.
6n�
4�
�26
34
�2
�5
5.7
��
3c �
26.
�8p
�3
��
297.
�5
��
5t �
58.
�9r
�12
��
24�
34
04
9.11
�7n
�4
10.
35�
7�
4b11
.15
�2p
�9
12.
49�
16�
3y�
17
�3
11
13.
2�
4t �
1414
.�
9x �
10�
6215
.30
�12
z �
1816
.7
�4g
�7
4�
84
0
17.
24�
9x�
�3
18.
50�
16q
�2
19.
3c �
2.5
�4.
120
.9y
�4.
8�
17.4
�3
32.2
1.4
To s
olve
tw
o-st
ep e
quat
ions
, yo
u ne
ed t
o ad
d or
sub
trac
t fir
st.T
hen
divi
de t
o so
lve
the
equa
tion.
Stud
y Gu
ide
and
Inte
rven
tion
So
lvin
g T
wo
-Ste
p E
qu
ati
on
s
Lesson 3–5
Exer
cise
s
Exam
ple
1
Exam
ple
2
Cha
pter
332
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-5
Less
on R
eadi
ng G
uide
So
lvin
g T
wo
-Ste
p E
qu
ati
on
s
Get
Rea
dy
for
the
Less
on
Com
ple
te t
he
Min
i L
ab a
t th
e to
p o
f p
age
151
in y
our
text
boo
k.
Wri
te y
our
answ
ers
bel
ow.
Sol
ve e
ach
eq
uat
ion
usi
ng
mod
els
or a
dra
win
g.
1.2x
�1
�5
22.
3x�
2�
82
3.2
� 5
x�
20
Rea
d t
he
Less
on
4.D
escr
ibe
in w
ords
eac
h s
tep
show
n f
or s
olvi
ng
the
equ
atio
n.
12�
7s�
�9
12�
7s�
�9
�12
��
12
7s�
�21
�7 7s ��
��721 �
s�
�3
5.N
um
ber
the
step
s in
th
e co
rrec
t or
der
for
solv
ing
the
equ
atio
n
�4v
�11
��
5.
Sim
plif
y.W
rite
th
e eq
uat
ion
.
Div
ide
each
sid
e by
�4.
Sim
plif
y.
Su
btra
ct 1
1 fr
om e
ach
sid
e.C
hec
k th
e so
luti
on.
6.C
hec
k th
e so
luti
on g
iven
for
eac
h e
quat
ion
.If
it i
s co
rrec
t,w
rite
cor
rect
.If
it
is i
nco
rrec
t,so
lve
to s
how
th
e co
rrec
t so
luti
on.
a.9a
�2
��
25;a
��
4b
.�
6f�
10�
32;f
��
7c.
�18
�3n
�21
;n�
9a
��
3co
rrect
n�
13
Rem
emb
er W
hat
Yo
u L
earn
ed7.
In y
our
own
wor
ds,d
escr
ibe
the
step
s n
eces
sary
to
solv
e a
two-
step
equ
atio
n.W
ill
thes
e st
eps
wor
k fo
r al
l tw
o-st
ep e
quat
ion
s?S
ee s
tud
en
ts’w
ork
.
62
5,3
4
13,5
Sim
plify
.
Div
ide e
ach
sid
e b
y 7
.
Sim
plify
.
Su
btr
act
12 f
rom
each
sid
e.
Wri
te t
he e
qu
ati
on
.
Answers (Lesson 3-5)
Chapter 3 A13 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A13 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
Cha
pter
335
Cou
rse
2
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.4h
�6
�30
2.7y
�5
��
93.
�3t
�
6 �
0h
�6
y�
�2
t�
2
4.�
8 �
8g�
565.
5k�
7 �
�7
6.19
�13
x�
32g
�8
k�
0x
�1
7.�
5b�
12 �
�2
8.�
1n�
1 �
119.
9f�
15 �
51b
��
2n
��
10
f�
4
10.
5d�
3.3
�7.
211
.3
�0.
2m�
712
.1.
3z�
1.5
�5.
4d
�2.1
m�
50
z�
3
13.
KIT
TEN
SK
itte
ns
wei
gh a
bou
t 10
0 gr
ams
wh
en b
orn
an
d ga
in 7
to
15 g
ram
s pe
r da
y.If
a ki
tten
wei
ghed
100
gra
ms
at b
irth
an
d ga
ined
8 g
ram
s pe
r da
y,in
how
man
y da
ys w
ill
the
kitt
en t
ripl
e it
s w
eigh
t?
100 �
8d
�300;
d�
25;T
he k
itte
n w
ill
trip
le i
ts w
eig
ht
in 2
5 d
ays.
14.
TEM
PER
ATU
RE
Roo
m t
empe
ratu
re r
ange
s fr
om 2
0°C
to
25°C
.Fin
d th
e ra
nge
of
room
tem
pera
ture
in
°F.
Use
th
e fo
rmu
la,F
�32
�1.
8C,t
o co
nve
rt f
rom
th
e C
elsi
us
scal
e to
the
Fah
ren
hei
t sc
ale.
F�
32 �
1.8
(20);
°F�
68;
F�
32 �
1.8
(25);
°F�
77;
Ro
om
tem
pera
ture
ran
ges f
rom
68°F
to
77°F
.
Prac
tice
So
lvin
g T
wo
-Ste
p E
qu
ati
on
s
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-5
Lesson 3–5
Cha
pter
334
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-5
Skill
s Pr
actic
eS
olv
ing
Tw
o-S
tep
Eq
uati
on
s
Sol
ve e
ach
eq
uat
ion
.Ch
eck
you
r so
luti
on.
1.2x
�1
�9
2.5b
�2
�17
43
3.3w
�5
�23
4.8n
�1
�25
63
5.4t
�2
�14
6.7k
�3
�32
45
7.8x
�1
�63
8.2x
�5
�15
810
9.3
�6v
�45
10.
9�
4b�
177
2
11.
2p�
14�
012
.3y
�10
��
2�
7�
4
13.
3w�
5�
214
.8x
�7
��
9�
1�
2
15.
5d �
1�
�11
16.
4d �
35�
�3
�2
8
17.
11x
�24
��
218
.15
a �
54�
�9
23
19.
3g �
49�
�7
20.
�2x
�4
�8
14
�6
21.
�9d
�1
�17
22.
�4f
�1
�13
�2
�3
23.
�5b
�24
��
124
.�
6x�
4�
�2
51
Answers (Lesson 3-5)
Chapter 3 A14 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A14 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
Cha
pter
337
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-5
Equ
atio
ns
wit
h L
ike
Term
sS
ome
equ
atio
ns
con
tain
tw
o or
mor
e ex
pres
sion
s th
at a
re c
alle
d li
ke t
erm
s.F
or e
xam
ple,
in t
he
equ
atio
n 3
a�
2a�
4�
14,t
he
expr
essi
ons
3aan
d 2a
are
like
ter
ms.
Wh
en y
ou s
ee l
ike
term
s,yo
u c
an c
ombi
ne
them
in
to o
ne
expr
essi
on.
3a�
2a�
5a
Wh
en y
ou s
olve
an
equ
atio
n c
onta
inin
g li
ke t
erm
s,co
mbi
ne
them
fir
st b
efor
eco
nti
nu
ing
to s
olve
th
e eq
uat
ion
.To
solv
e 3a
�2a
�4
�14
,pro
ceed
as
foll
ows.
3a�
2a�
4 ¬�
14C
ombi
ne
like
ter
ms.
5a�
4 ¬�
145a
�4
�4 ¬
�14
�4
5a¬�
10
�5 5a �¬�
�1 50 �
a�
2
Sol
ve e
ach
eq
uat
ion
.Th
en l
ocat
e th
e so
luti
on o
n t
he
nu
mb
er l
ine
bel
ow.P
lace
th
e le
tter
cor
resp
ond
ing
to t
he
answ
er o
n t
he
lin
e at
th
eri
ght
of t
he
exer
cise
.
1.3x
�4x
�3
��
39
2.�
3x�
2�
5x�
12
3.�
5�
4x�
7x�
1
4.�
�1 2�x�
6x�
2�
20
5.�
2.4x
�1.
2�
1.2x
�4.
8
6.�1 3�(
6�
x)�
�1
7.1
��
�1 4�x�
5�
�3 4�x
8.7x
�(�
2x)�
x�
42
9.�2 5�(
5x�
5x)�
�20
�2
�1
02
3�
3�
4�
5�
6�
7�
8�
91
45
67
89
WI
HF
LJ
OP
NV
GC
DT
MK
AB
R
LAIROTCAF
Enri
chm
ent
Lesson 3–5
Cha
pter
336
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-5
Wor
d Pr
oble
m P
ract
ice
So
lvin
g T
wo
-Ste
p E
qu
ati
on
s
1.G
OLF
It c
osts
$12
to
atte
nd
a go
lf c
lin
icw
ith
a l
ocal
pro
.Bu
cket
s of
bal
ls f
orpr
acti
ce d
uri
ng
the
clin
ic c
ost
$3 e
ach
.H
ow m
any
buck
ets
can
you
bu
y at
th
ecl
inic
if
you
hav
e $3
0 to
spe
nd?
6 b
uckets
2.M
ON
EYP
aulo
has
$14
5 in
his
sav
ings
acco
un
t.H
e ea
rns
$36
a w
eek
mow
ing
law
ns.
If P
aulo
sav
es a
ll o
f h
isea
rnin
gs,a
fter
how
man
y w
eeks
wil
l h
eh
ave
$433
sav
ed?
8 w
k
3.R
ETA
ILA
n o
nli
ne
reta
iler
ch
arge
s $6
.99
plu
s $0
.55
per
pou
nd
to s
hip
ele
ctro
nic
spu
rch
ases
.How
man
y po
un
ds i
s a
DV
Dpl
ayer
for
wh
ich
th
e sh
ippi
ng
char
ge i
s$1
1.94
?9 l
b
4.M
ON
EYC
aitl
in h
as a
$10
gif
tce
rtif
icat
e to
th
e m
usi
c st
ore.
Sh
e h
asch
osen
a n
um
ber
of C
Ds
from
th
e $7
barg
ain
bin
.If
the
cost
of
the
CD
s is
$32
afte
r th
e gi
ft c
erti
fica
te i
s cr
edit
ed,
how
man
y C
Ds
did
Cai
tlin
bu
y?6 C
Ds
5.EM
PLO
YM
ENT
Mrs
.Jac
kson
ear
ned
a$5
00 b
onu
s fo
r si
gnin
g a
one-
year
con
trac
t to
wor
k as
a n
urs
e.H
er s
alar
yis
$22
per
hou
r.If
her
fir
st w
eek’
s ch
eck
incl
udi
ng
the
bon
us
is $
1,20
4,h
owm
any
hou
rs d
id M
rs.J
acks
on w
ork?
32 h
6.PH
OTO
GR
APH
YM
orga
n s
ubs
crib
es t
o a
web
site
for
pro
cess
ing
her
dig
ital
pict
ure
s.T
he
subs
crip
tion
is
$5.9
5 pe
rm
onth
an
d 4
by 6
in
ch p
rin
ts a
re $
0.19
each
.How
man
y pr
ints
did
Mor
gan
purc
has
e if
th
e ch
arge
for
Jan
uar
y w
as$1
5.83
?52 p
rin
ts
Answers (Lesson 3-5)
Chapter 3 A15 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A15 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
Cha
pter
339
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
3-6
Fin
d t
he
per
imet
er o
f th
e fi
gure
at
righ
t.
P�
105
�10
5�
35�
35 o
r 28
0
Th
e pe
rim
eter
is
280
inch
es.
Fin
d t
he
area
of
the
rect
angl
e.
A�
�
w�
24
12 o
r 28
8
Th
e ar
ea i
s 28
8 sq
uar
e ce
nti
met
ers.
Fin
d t
he
per
imet
er o
f ea
ch f
igu
re.
1.80 c
m2.
112 m
Fin
d t
he
per
imet
er a
nd
are
a of
eac
h r
ecta
ngl
e.
3.26 f
t;36 f
t24.
28 i
n.;
33 i
n2
5.�
�8
ft,w
�5
ft6.
��
3.5
m,w
�2
m26 f
t;40 f
t211 m
;7 m
2
7.�
�8
yd,w
�4 �
1 3�yd
8.�
�29
cm
,w�
7.3
cm
24
�2 3�yd
;34
�2 3�yd
272.6
cm
;211.7
cm
2
3 in
.
11 in
.9
ft
4 ft
14 m
42 m
33 c
m
7 cm
The
mea
sure
of
the
surf
ace
encl
osed
by
a ge
omet
ric f
igur
e is
cal
led
the
are
a.
The
are
a of
a r
ecta
ngle
is t
he p
rodu
ct o
f th
e le
ngth
�an
d w
idth
w.
A�
�
w
Stud
y Gu
ide
and
Inte
rven
tion
Measu
rem
en
t:P
eri
mete
r an
d A
rea
The
dis
tanc
e ar
ound
a g
eom
etric
fig
ure
is c
alle
d th
e p
eri
mete
r.
To f
ind
the
perim
eter
of
any
geom
etric
fig
ure,
you
can
use
add
ition
or
a fo
rmul
a.
The
per
imet
er o
f a
rect
angl
e is
tw
ice
the
leng
th �
plus
tw
ice
the
wid
th w
.
P�
2��
2w
105
ft
35 ft
24 c
m
12 c
m
Lesson 3–6
Exer
cise
s
Exam
ple
1
Exam
ple
2
Cha
pter
338
Cou
rse
2
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3-6
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
156
in y
our
text
boo
k.
Wri
te y
our
answ
ers
bel
ow.
1.If
th
e st
ude
nts
ru
n a
rou
nd
the
gym
5 t
imes
,how
far
wou
ld t
hey
ru
n?
2,1
80 f
eet.
2.E
xpla
in h
ow y
ou c
an u
se b
oth
mu
ltip
lica
tion
an
d ad
diti
on t
o fi
nd
the
dist
ance
.M
ult
iply
107 �
2 a
nd
111 �
2.A
dd
th
e t
wo
pro
du
cts
to
geth
er.
Mu
ltip
ly t
he s
um
by 5
.
Rea
d t
he
Less
on
3.E
xpla
in i
n y
our
own
wor
ds w
hat
th
e fo
rmu
la p
�2�
�2w
mea
ns?
An
sw
ers
may v
ary
;yo
u d
ou
ble
bo
th t
he l
en
gth
an
d w
idth
of
the f
igu
re a
nd
ad
d t
he r
esu
lts t
og
eth
er.
4.H
ow i
s th
e pe
rim
eter
of
a fi
gure
dif
fere
nt
from
th
e ar
ea o
f th
e fi
gure
?S
am
ple
an
sw
er:
Th
e p
eri
mete
r is
th
e d
ista
nce a
rou
nd
th
efi
gu
re.T
he a
rea i
s t
he m
easu
re o
f th
e s
urf
ace t
hat
is i
nsid
eth
e f
igu
re.
5.E
xpla
in h
ow t
o fi
nd
the
peri
met
er a
nd
area
of
a re
ctan
gle
wh
ose
len
gth
is
8 fe
et a
nd
wh
ose
wid
th i
s 2
feet
.S
am
ple
an
sw
er:
To
fin
d t
he
peri
mete
r,ad
d t
wo
tim
es t
he l
en
gth
an
d t
wo
tim
es t
he w
idth
(20 f
t).T
o f
ind
th
e a
rea,m
ult
iply
len
gth
tim
es w
idth
(16 f
t2).
Rem
emb
er W
hat
Yo
u L
earn
ed6.
Th
e w
ord
peri
met
erco
mes
fro
m t
wo
Gre
ek w
ords
th
at m
ean
“a
mea
sure
(met
ron
) ar
oun
d (p
eri)
.”T
ell
how
you
can
fin
d th
e pe
rim
eter
of
are
ctan
gle.
Sam
ple
an
sw
er:
Th
e p
eri
mete
r is
th
e s
um
of
twic
eth
e l
en
gth
an
d t
wic
e t
he w
idth
,o
r 2
��
2w
.It
is t
he m
easu
rearo
un
d t
he r
ecta
ng
le.
Less
on R
eadi
ng G
uide
Measu
rem
en
t:P
eri
mete
r an
d A
rea
Answers (Lesson 3-6)
Chapter 3 A16 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A16 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
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
64.6
ft2
120 c
m2
Fin
d t
he
mis
sin
g si
de.
7.P
�83
.4 k
m,�
�27
.8 k
m8.
A�
337.
68 y
d2,w
�60
.3 y
dw
�13.9
km
��
5.6
yd
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
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
f ea
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
e.
5.40 y
d;
6.80 c
m;
400 c
m2
75 y
d2
7.8.
46 c
m;
120 c
m2
72 m
;180 m
2
9.�
�6
yd,w
�4
yd10
.�
�8.
2 m
,w�
7.1
m20 y
d;
24 y
d2
30.6
m;
58.2
2 m
2
11.
��
50 i
n.,
w�
10 i
n.
12.
��
10 c
m,w
�4 �
1 2�cm
120 i
n.;
500 i
n2
29 c
m;
45 c
m2
13.
��
4.5
ft,w
�3
ft14
.�
�7 �
1 2�m
m,w
�6 �
3 8�m
m
15 f
t;13.5
ft2
27
�3 4�m
m;
47
�1 1
3 6�m
m28 c
m
15 cm
6 m
30 m
20 c
m
20 c
m
5 yd
15 y
d
92 in
.
18 in
.
10
yd10 y
d
9 yd
9 yd
9 m
9 m
8 cm
38 c
m
Answers (Lesson 3-6)
Chapter 3 A17 Course 2
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a
divi
sion
of T
he M
cGra
w-H
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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
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
Answers (Lesson 3-6)
Chapter 3 A18 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A18 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
An
swer
s
Cha
pter
345
Cou
rse
2
NA
ME
____
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____
____
____
____
____
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____
____
DAT
E _
____
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_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
ctio
n r
ule
,an
d ou
tpu
t.S
ee s
tud
en
ts’w
ork
.
y
xO �4
�6
�2
�3
21
3
246y
xO
x4x
y
�1
4(�
1)
�4
04(0
)0
14(1
)4
x2x
�1
y
�1
2(�
1)
�1
�3
02(0
) �
1�
1
12(1
) �
11
Tot
al C
ost
of A
dm
issi
on
415(4
)
Nu
mb
er o
f M
emb
ers
15m
Tot
alC
ost
($)
115
(1)
15
215
(2)
30
315
(3)
45
60
515(5
)75
615(6
)90
Lesson 3–7
12
34
65
45 30 15607590105 0
Total Cost ($)
Num
ber o
f Mem
bers
Tota
l Cos
t of A
dmis
sion
Cha
pter
344
Cou
rse
2
NA
ME
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____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
3260
Sh
eet
1S
heet
2S
heet
3
Exam
ple
1
Exam
ple
2
Answers (Lessons 3-6 and 3-7)
Chapter 3 A19 Course 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.
A001_A038_CRM03_881043 10/30/07 2:26 PM Page A19 epg ju107:MHGL111:Quark%0:Course 2:Application Files:Chapter 3:
PDF Proof
Cha
pter
347
Cou
rse
2
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ME
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DAT
E _
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_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
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�0.
5y
x O
y �
2x
� 0
.5
x�
2x�
3
�1 0 1 2
�2(�
1)
� 3
�2(0
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2(1
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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
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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
____
____
____
____
____
____
____
____
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____
DAT
E _
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_P
ER
IOD
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___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
Answers (Lesson 3-7)
Chapter 3 A20 Course 2
Cop
yrig
ht ©
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ncoe
/McG
raw
-Hill
, a
divi
sion
of T
he M
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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
__
___
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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)
Answers (Lesson 3-7)
Chapter 3 A21 Course 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.
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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
Copyright ©Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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
Answers (Lesson 3-7)
Chapter 3 A22 Course 2
Cop
yrig
ht ©
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ncoe
/McG
raw
-Hill
, a
divi
sion
of T
he M
cGra
w-H
ill C
ompa
nies
, In
c.
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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.
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
Chapter 3 A23 Course 2
y
xO
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Cop
yrig
ht ©
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ncoe
/McG
raw
-Hill
, a
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.
B: 4
F
C
G
B
F
C
G
B
G
B
F
B
F
B
H
C
J
A
G
A
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
Chapter 3 A24 Course 2
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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.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B:
y2: the y-values
are increasing
faster.
J
B
F
A
F
B
F
C
J
B
G
A
H
A
H
A
H
D
H
B
y2: the y-values
are increasing
faster.
G
B
G
A
F
D
J
B
J
B
F
D
G
A
G
A
J
B
H
B
Chapter 3 Assessment Answer KeyForm 2A Form 2BPage 61 Page 62 Page 63 Page 64
An
swer
s
Chapter 3 A25 Course 2
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PDF Proof
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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.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
B: 50 yd
105 20 2515
5
0
10152025
Play
ers
Throws
y
xO
y
xO
2.5 m
18 ft; 18 ft2
85.2 cm
p � 21 � 40
n � 19 � �28
12n � 42
s � 5 � 26
n � 12
9p
n � 16
h � 7
23
�4
�17
�5
8
$90
$1,075
48
�19
12
�16
Chapter 3 Assessment Answer KeyForm 2CPage 65 Page 66
Chapter 3 A26 Course 2
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Chapter 3 A27 Course 2
Chapter 3 Assessment Answer KeyForm 2DPage 67 Page 68
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Chapter 3 A28 Course 2
Chapter 3 Assessment Answer KeyForm 3Page 69 Page 70
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Chapter 3 A29 Course 2
An
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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 A30 Course 2
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 � $2.89.
2. Square; area of rectangle � 32 in2;square has sides 6 in. long, so area of square � 36 in2.
3. a. The number of students to sign upequals 25 students times the numberof inches of snow.
b.
c. Let x represent the number of inchesand y represent the total number ofstudents; 25x � y.
d. Based on the table above, foursolutions of the equation 25x � y are(0, 0), (1, 25), (2, 50), and (3, 75).
y
xO 1 2 3
255075
In addition to the scoring rubric found on page A29, the following sample answers
may be used as guidance in evaluating extended response assessment items.
Numberof Inches
Multiply by 25
TotalNumber ofStudents
0 25 � 0 0
1 25 � 1 25
2 25 � 2 50
3 25 � 3 75
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An
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Chapter 3 A31 Course 2
Chapter 3 Assessment Answer KeyStandardized Test PracticePage 72 Page 73
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Chapter 3 A32 Course 2
Chapter 3 Assessment Answer KeyStandardized Test PracticePage 74
Number Totalof Tickets Cost ($)
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Chapter 3 Assessment Answer KeyUnit 1 TestPage 75 Page 76
An
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Chapter 3 A33 Course 2
20 40 60 80 100
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