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Algebra SE 2012 [TN]978-0-07-892705-8

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Algebra SE 2012 [TN]978-0-07-892705-8

APR152010 FM PDF Corr

| Tennessee Edition

Copyright © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, network storage or transmission, or broadcast for distance learning.

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ISBN: 978-0-07-892705-8MHID: 0-07-892705-6

Printed in the United States of America.

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Contents in BriefContents in Brief

Algebra SE 2012 [TN]978-0-07-892705-8


Tennessee Weekly Standards Review Use pages TN1-TN20 to practice questions that review the Tennessee standards. Lesson references are included if you need a little refresher.

Chapter 0 Preparing for Algebra

Unit 1 Foundations for Functions

1 Expressions, Equations, and Functions

2 Linear Equations

Unit 2 Linear Functions and Relations

3 Linear Functions

4 Linear Functions and Relations

5 Linear Inequalities

6 Systems of Linear Equations and Inequalities

Unit 3 Nonlinear Expressions, Equations, and Functions

7 Polynomials

8 Factoring and Quadratic Equations

9 Quadratic and Exponential Functions

Unit 4 Advanced Functions and Equations

10 Radical Functions and Geometry

11 Rational Functions and Equations

Unit 5 Data Analysis

12 Statistics and Probability

Student Handbook

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AuthorsAuthors

iv

Lead Authors

John A. Carter, Ph.D.

Assistant Principal for Teaching and Learning Adlai E. Stevenson High SchoolLincolnshire, Illinois

Areas of Expertise: Using technology and manipulatives to visualize concepts; mathematics achievement of English-language learners

Gilbert J. Cuevas, Ph.D.

Professor of Mathematics EducationTexas State University–San MarcosSan Marcos, Texas

Areas of Expertise: Applying concepts and skills in mathematically rich contexts; mathematical representations

Roger Day, Ph.D., NBCT

Mathematics Department ChairpersonPontiac Township High SchoolPontiac, Illinois

Areas of Expertise: Understanding and applying probability and statistics; mathematics teacher education

Carol Malloy, Ph.D.

Associate ProfessorUniversity of North Carolina at Chapel HillChapel Hill, North Carolina

Areas of Expertise: Representations and critical thinking; student success in Algebra 1

Our lead authors ensure that the Macmillan/McGraw-Hill and Glencoe/McGraw-Hill

mathematics programs are truly vertically aligned by beginning with the end in

mind–success in Algebra 1 and beyond. By “backmapping” the content from the high school

programs, all of our mathematics programs are well articulated in their scope and sequence.

Algebra SE 2012 [TN]978-0-07-892705-8


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Authors

vconnectED.mcgraw-hill.com

Program Authors

Contributing Author Lead Consultant

Dr. Berchie Holliday, Ed.D.

National Mathematics ConsultantSilver Spring, Maryland

Areas of Expertise: Using mathematics to model and understand real-world data; the effect of graphics on mathematical understanding

Beatrice Luchin

Mathematics ConsultantLeague City, Texas

Areas of Expertise: Using reading strategies to aid in mathematical understanding

Dinah Zike

Educational ConsultantDinah-Might Activities, Inc.San Antonio, Texas

Viken Hovsepian

Professor of MathematicsRio Hondo CollegeWhittier, California

Algebra SE 2012 [TN]978-0-07-892705-8


AUTHORS_892242.indd vAUTHORS_892242.indd v 12/04/10 1:49 PM12/04/10 1:49 PM

Consultants and ReviewersConsultants and Reviewers

vi

Mathematical Content

Grant A. Fraser, Ph.D.

Professor of MathematicsCalifornia State University, Los AngelesLos Angeles, California

Arthur K. Wayman, Ph.D.

Professor of Mathematics EmeritusCalifornia State University, Long BeachLong Beach, California

Gifted and Talented

Shelbi K. Cole

Research AssistantUniversity of ConnecticutStorrs, Connecticut

College Readiness

Robert Lee Kimball, Jr.

Department Head, Math and PhysicsWake Technical Community CollegeRaleigh, North Carolina

Differentiation for English-Language Learners

Susana Davidenko

State University of New YorkCortland, New York

Alfredo Gómez

Mathematics/ESL TeacherGeorge W. Fowler High SchoolSyracuse, New York

Graphing Calculator

Ruth M. Casey

T3 National InstructorFrankfort, Kentucky

Jerry Cummins

Former PresidentNational Council of Supervisors of

MathematicsWestern Springs, Illinois

Mathematical Fluency

Robert M. Capraro

Associate ProfessorTexas A&M UniversityCollege Station, Texas

Pre-AP

Dixie Ross

Lead Teacher for Advanced Placement Mathematics

Pflugerville High SchoolPflugerville, Texas

Reading and Writing

ReLeah Cossett Lent

Author and Educational ConsultantMorganton, Georgia

Lynn T. Havens

Director of Project CRISSKalispell, Montana

These professionals were instrumental in providing valuable input and

suggestions for improving the effectiveness of the mathematics instruction.

Consultants

Algebra SE 2012 [TN]978-0-07-892705-8


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Consultants and Reviewers

viiconnectED.mcgraw-hill.com

Sherri Abel

Mathematics TeacherEastside High SchoolTaylors, South Carolina

Kelli Ball, NBCT

Mathematics TeacherOwasso 7th Grade CenterOwasso, Oklahoma

Cynthia A. Burke

Mathematics TeacherSherrard Junior High SchoolWheeling, West Virginia

Patrick M. Cain, Sr.

Assistant PrincipalStanhope Elmore High SchoolMillbrook, Alabama

Robert D. Cherry

Mathematics InstructorWheaton Warrenville South High SchoolWheaton, Illinois

Tammy Cisco

8th Grade Mathematics/Algebra Teacher

Celina Middle SchoolCelina, Ohio

Amber L. Contrano

High School TeacherNaperville Central High SchoolNaperville, Illinois

Catherine Creteau

Mathematics DepartmentDelaware Valley Regional High SchoolFrenchtown, New Jersey

Glenna L. Crockett

Mathematics Department ChairFairland High SchoolFairland, Oklahoma

Jami L. Cullen

Mathematics Teacher/LeaderHilltonia Middle SchoolColumbus, Ohio

Franco DiPasqua

Director of K-12 MathematicsWest Seneca Central SchoolsWest Seneca, New York

Kendrick Fearson

Mathematics Department ChairAmos P. Godby High SchoolTallahassee, Florida

Lisa K. Gleason

Mathematics TeacherGaylord High SchoolGaylord, Michigan

Debra Harley

Director of Math & ScienceEast Meadow School DistrictWestbury, New York

Tracie A. Harwood

Mathematics TeacherBraden River High SchoolBradenton, Florida

Bonnie C. Hill

Mathematics Department ChairTriad High SchoolTroy, Illinois

Clayton Hutsler

TeacherGoodwyn Junior High SchoolMontgomery, Alabama

Gureet Kaur

7th Grade Mathematics TeacherQuail Hollow Middle SchoolCharlotte, North Carolina

Rima Seals Kelley, NBCT

Mathematics Teacher/Department Chair

Deerlake Middle SchoolTallahassee, Florida

Holly W. Loftis

8th Grade Mathematics TeacherGreer Middle SchoolLyman, South Carolina

Katherine Lohrman

Teacher, Math Specialist, NewTeacher MentorJohn Marshall High SchoolRochester, New York

Carol Y. Lumpkin

Mathematics EducatorCrayton Middle SchoolColumbia, South Carolina

Ron Mezzadri

Supervisor of Mathematics K–12

Fair Lawn Public SchoolsFair Lawn, New Jersey

Bonnye C. Newton

SOL Resource SpecialistAmherst County Public SchoolsAmherst, Virginia

Kevin Olsen

Mathematics TeacherRiver Ridge High SchoolNew Port Richey, Florida

Kara Painter

Mathematics TeacherDowners Grove South High SchoolDowners Grove, Illinois

Sheila L. Ruddle, NBCT

Mathematics Teacher, Grades 7 and 8Pendleton County Middle/High SchoolFranklin, West Virginia

Angela H. Slate

Mathematics Teacher/Grade 7, Pre-Algebra, Algebra

LeRoy Martin Middle SchoolRaleigh, North Carolina

Cathy Stellern

Mathematics TeacherWest High SchoolKnoxville, Tennessee

Dr. Maria J. Vlahos

Mathematics Division Head for Grades 6–12

Barrington High SchoolBarrington, Illinois

Susan S. Wesson

Mathematics Consultant/Teacher (Retired)

Pilot Butte Middle SchoolBend, Oregon

Mary Beth Zinn

High School Mathematics TeacherChippewa Valley High SchoolsClinton Township, Michigan

Reviewers

Algebra SE 2012 [TN]978-0-07-892705-8


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Online GuideOnline Guide

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T he eStudentEdition allows you to access your math

curriculum anytime, anywhere.

The icons found throughout your textbook provide you with the opportunity to connect the print textbook with online interactive learning.

Multilingual

eGlossary

presents key vocabulary in 13 languages.

Vocabulary

tools include fun Vocabulary Review Games.

Animations

illustrate math concepts through movement and audio.

Investigate

viii

Algebra SE 2012 [TN]978-0-07-892705-8


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Virtual

Manipulatives

are outstanding tools for enhancing understanding.

Personal

Tutor

presents an experienced educator explaining step-by-step solutions to problems.

Graphing

Calculator

provides other calculator keystrokes for each Graphing Technology Lab.

Foldables

provide a unique way to enhance study skills.

Self-Check

Practice

allows you to check your understanding and send results to your teacher.

Audio

is provided to enhance accessibility.

Worksheets

provide additional practice.

PracticeLearn

ixconnectED.mcgraw-hill.comcc

Algebra SE 2012 [TN]978-0-07-892705-8


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xi

Unit 1 | Foundations for Functions

Get Started on Chapter 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P2

Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P3

0-1 Plan for Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P5

0-2 Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P7

0-3 Operations with Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P11

0-4 Adding and Subtracting Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . .P13

0-5 Multiplying and Dividing Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . .P17

0-6 The Percent Proportion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P20

0-7 Perimeter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P23

0-8 Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P26

0-9 Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P29

0-10 Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P31

0-11 Simple Probability and Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P33

0-12 Mean, Median, Mode, Range, and Quartiles. . . . . . . . . . . . . . . . . . . . . . . . .P37

0-13 Representing Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P40

Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P44

Preparing for AlgebraPreparing for Algebra

connectED.mcgraw-hill.comccccc Your Digital Math Portal

Personal Tutor

p. P18Multilingual

eGlossary

p. P2

Vocabulary

p. P2Foldables

p. P2

Algebra SE 2012 [TN]978-0-07-892705-8


Tennessee Curriculum Standards

✔3102.1.20

CLE 3102.2.2, ✔3102.2.8,

SPI 3102.2.3

CLE 3102.2.1

CLE 3102.2.1, ✔3102.2.4

CLE 3102.2.1, ✔3102.2.4

SPI 3102.4.1

✔3102.5.12

✔3102.5.3, ✔3102.5.4,

SPI 3102.5.2

✔3102.5.2, ✔3102.5.5,

SPI 3102.5.1

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xii



Personal Tutor

pp. 6, 99Multilingual

eGlossary

pp. 4, 74

Vocabulary

pp. 4, 139Animation

pp. 18, 90

Expressions, Equations, Expressions, Equations, and Functionsand Functions

Algebra SE 2012 [TN]978-0-07-892705-8



SPI 3102.3.1, CLE 3102.4.1

SPI 3102.1.3, ✔3102.2.2

✔3102.1.9, SPI 3102.1.3

✔3102.1.9, SPI 3102.1.3,

✔3102.2.1

SPI 3102.1.3, ✔3102.3.3

CLE 3102.3.6, SPI 3102.3.6,

SPI 3102.3.7

SPI 3102.1.4, CLE 3102.3.6,

SPI 3102.3.7

CLE 3102.1.3, ✔3102.1.10

Get Ready for Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1-1 Variables and Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

1-2 Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10

1-3 Properties of Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16

1-4 The Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30

1-5 Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31

1-6 Relations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38

1-7 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45

Extend: Graphing Technology Lab Representing Functions . . . . . . . . . . . . . . . . . . . . . . 53

1-8 Logical Reasoning and Counterexamples . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54

Extend: Algebra Lab Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

ASSESSMENT

Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .62

Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67

Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .68

Tennessee Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .70

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Self-Check

Practice

pp. 3, 100

Foldables

pp. 4, 74Graphing

Calculator

pp. 53, 118

Virtual

Manipulatives

pp. 26, 90

Linear EquationsLinear Equations

Algebra SE 2012 [TN]978-0-07-892705-8

APR132010 FM PDF Corr


SPI 3102.1.2, CLE 3102.3.4,

SPI 3102.3.5

SPI 3102.3.5

✔3102.1.9, CLE 3102.3.4,

SPI 3102.3.5

SPI 3102.3.5

CLE 3102.3.4, ✔3102.3.11,

SPI 3102.3.5

CLE 3102.3.4, ✔3102.3.11,

SPI 3102.3.5

✔3102.3.14, SPI 3102.3.5

✔3102.1.2, ✔3102.1.5

✔3102.1.5

✔3102.1.8, ✔3102.1.5

✔3102.5.4

CLE 3102.3.5,

CLE 3102.4.2, SPI 3102.4.4

CLE 3102.1.5, ✔3102.1.5

Get Ready for Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

2-1 Writing Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75

Explore: Algebra Lab Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

2-2 Solving One-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83

Explore: Algebra Lab Solving Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90

2-3 Solving Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91

2-4 Solving Equations with the Variable on Each Side . . . . . . . . . . . . . . . . . . . . . .97

2-5 Solving Equations Involving Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . .103

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .110

2-6 Ratios and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111

Extend: Spreadsheet Lab Financial Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118

2-7 Percent of Change . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119

Extend: Algebra Lab Percentiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

2-8 Literal Equations and Dimensional Analysis. . . . . . . . . . . . . . . . . . . . . . . . . .126

2-9 Weighted Averages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .132

ASSESSMENT

Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .139

Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .145

Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146

Tennessee Test Practice, Chapters 1–2 . . . . . . . . . . . . . . . . . . . . . . . . . . . .148

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xiv


Unit 2 | Linear Functions and Relations

Animation

pp. 150, 246Vocabulary


eGlossary

pp. 152, 212

Personal Tutor

pp. 156, 246

Linear FunctionsLinear Functions

Algebra SE 2012 [TN]978-0-07-892705-8



✔3102.1.16, ✔3102.3.23,

SPI 3102.3.8

CLE 3102.3.4, SPI 3102.3.5,

SPI 3102.3.8

✔3102.3.18

✔3102.3.20

✔3102.1.16, SPI 3102.1.6,

✔3102.3.20

✔3102.3.18

SPI 3102.1.1, CLE 3102.3.1,

SPI 3102.3.1

CLE 3102.1.3

✔3102.1.4, SPI 3102.3.1

Get Ready for Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

3-1 Graphing Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .153

3-2 Solving Linear Equations by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .161

Extend: Graphing Technology Lab Graphing Linear Functions . . . . . . . . . . . . . . . . . . . 167

Explore: Algebra Lab Rate of Change of a Linear Function . . . . . . . . . . . . . . . . . . . . . 169

3-3 Rate of Change and Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .170

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .179

3-4 Direct Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .180

3-5 Arithmetic Sequences as Linear Functions. . . . . . . . . . . . . . . . . . . . . . . . . . .187

Extend: Algebra Lab Inductive and Deductive Reasoning . . . . . . . . . . . . . . . . . . . . . . 194

3-6 Proportional and Nonproportional Relationships . . . . . . . . . . . . . . . . . . . . . .195

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .205



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xv


Virtual

Manipulatives

pp. 156, 246

Graphing

Calculator

pp. 167, 213

Foldables

pp. 152, 212Self-Check

Practice

pp. 205, 211

Linear Functions Linear Functions and Relationsand Relations

Algebra SE 2012 [TN]978-0-07-892705-8



✔3102.3.24

✔3102.3.22, ✔3102.3.23,

SPI 3102.3.8

SPI 3102.1.5

SPI 3102.1.2, ✔3102.3.21,

SPI 3102.3.8

✔3102.3.21, ✔3102.3.22,

SPI 3102.3.8

✔3102.3.21, SPI 3102.3.8

SPI 3102.5.3, SPI 3102.5.1,

SPI 3102.5.4

CLE 3102.5.2, ✔3102.5.10,

SPI 3102.5.4

✔3102.3.18, SPI 3102.3.7

✔3102.1.19


Explore: Graphing Technology Lab Investigating Slope-Intercept Form . . . . . . . . . . . . 213

4-1 Graphing Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . .214

Extend: Graphing Technology Lab The Family of Linear Graphs. . . . . . . . . . . . . . . . . . 222

4-2 Writing Equations in Slope-Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . .224

4-3 Writing Equations in Point-Slope Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .231

4-4 Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .237

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .244

4-5 Scatter Plots and Lines of Fit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .245

Extend: Algebra Lab Correlation and Causation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252

4-6 Regression and Median-Fit Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .253

4-7 Special Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .261

Extend: Graphing Technology Lab Piecewise-Linear Functions . . . . . . . . . . . . . . . . . . 269

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .275



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xvi



Personal Tutor


eGlossary

pp. 282, 332

Vocabulary

pp. 282, 388Animation

pp. 289, 330

Linear InequalitiesLinear Inequalities

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.3.4, SPI 3102.3.5

SPI 3102.3.5

CLE 3102.3.4, ✔3102.3.13,

SPI 3102.3.5

CLE 3102.3.4, ✔3102.3.13,

SPI 3102.3.5

CLE 3102.1.6

SPI 3102.3.5

✔3102.3.14, SPI 3102.3.5

CLE 3102.3.4, ✔3102.3.26,

SPI 3102.3.5

✔3102.3.26


5-1 Solving Inequalities by Addition and Subtraction. . . . . . . . . . . . . . . . . . . . . .283

Explore: Algebra Lab Solving Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289

5-2 Solving Inequalities by Multiplication and Division . . . . . . . . . . . . . . . . . . . .290

5-3 Solving Multi-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .296

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .302

Explore: Algebra Lab Reading Compound Statements . . . . . . . . . . . . . . . . . . . . . . . . 303

5-4 Solving Compound Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .304

5-5 Inequalities Involving Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .310

5-6 Graphing Inequalities in Two Variables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315

Extend: Graphing Technology Lab Graphing Inequalities . . . . . . . . . . . . . . . . . . . . . . . 321

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .325



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xvii


Self-Check

Practice

pp. 298, 393

Foldables

pp. 282, 332Graphing

Calculator

pp. 321, 340

Virtual

Manipulatives

pp. 289, 334

Systems of LinearSystems of LinearEquations and InequalitiesEquations and Inequalities

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.3.7, ✔3102.3.27,

SPI 3102.3.9

✔3102.3.28

CLE 3102.3.7, ✔3102.3.28,

SPI 3102.3.9

CLE 3102.3.7, ✔3102.3.28,

SPI 3102.3.9

CLE 3102.3.7, ✔3102.3.28,

SPI 3102.3.9

CLE 3102.3.7, ✔3102.3.29,

SPI 3102.3.9

✔3102.1.19

✔3102.1.6

CLE 3102.3.7, ✔3102.3.28,

SPI 3102.3.9

CLE 3102.3.7, ✔3102.3.29

CLE 3102.3.7


6-1 Graphing Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .333

Extend: Graphing Technology Lab Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . 340

6-2 Substitution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .342

6-3 Elimination Using Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . .348

6-4 Elimination Using Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .355

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .361

6-5 Applying Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .362

Extend: Spreadsheet Lab Credit Cards and Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368

6-6 Organizing Data Using Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .369

6-7 Using Matrices to Solve Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . .376

6-8 Systems of Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .382

Extend: Graphing Technology Lab Systems of Inequalities . . . . . . . . . . . . . . . . . . . . . 387

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .393



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xviii


Unit 3 | Nonlinear Expressions, Equations, and Functions

Animation



eGlossary

pp. 400, 470

Personal Tutor

pp. 448, 483

PolynomialsPolynomials

Algebra SE 2012 [TN]978-0-07-892705-8



✔3102.3.4, CLE 3102.4.1

✔3102.3.4

✔3102.2.5, ✔3102.2.6,

SPI 3102.2.2

✔3102.1.11

CLE 3102.3.2, SPI 3102.3.2

SPI 3102.3.2

CLE 3102.3.2, ✔3102.3.5,

SPI 3102.3.2

CLE 3102.3.2, SPI 3102.3.2

SPI 3102.3.2

CLE 3102.3.2, ✔3102.3.5,

SPI 3102.3.2

CLE 3102.3.2, ✔3102.3.5,

SPI 3102.3.2


7-1 Multiplying Monomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .401

7-2 Dividing Monomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .408

7-3 Scientific Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .416

Explore: Algebra Lab Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423

7-4 Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .424

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .430

Explore: Algebra Lab Adding and Subtracting Polynomials . . . . . . . . . . . . . . . . . . . . . 431

7-5 Adding and Subtracting Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .433

7-6 Multiplying a Polynomial by a Monomial . . . . . . . . . . . . . . . . . . . . . . . . . . . .439

Explore: Algebra Lab Multiplying Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 445

7-7 Multiplying Polynomials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .447

7-8 Special Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .453

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .463



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xix


Virtual

Manipulatives

pp. 425, 500

Foldables


Practice

pp. 399, 501

Factoring and Factoring and Quadratic EquationsQuadratic Equations

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.3.2, SPI 3102.3.3

SPI 3102.3.3

CLE 3102.3.2, ✔3102.3.8,

SPI 3102.3.3

SPI 3102.3.3

CLE 3102.3.8, SPI 3102.3.3,

SPI 3102.3.10

CLE 3102.3.8, SPI 3102.3.3,

SPI 3102.3.10

CLE 3102.3.8, SPI 3102.3.3,

SPI 3102.3.10

CLE 3102.3.8, SPI 3102.3.3,

SPI 3102.3.10


8-1 Monomials and Factoring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .471

Explore: Algebra Lab Factoring Using the Distributive Property . . . . . . . . . . . . . . . . . . 475

8-2 Using the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .476

Explore: Algebra Lab Factoring Trinomials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483

8-3 Quadratic Equations: x2 + bx + c = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .485

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .492

8-4 Quadratic Equations: ax2 + bx + c = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .493

8-5 Quadratic Equations: Differences of Squares . . . . . . . . . . . . . . . . . . . . . . . . .499

8-6 Quadratic Equations: Perfect Squares. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .505

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .517



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xx



Personal Tutor


eGlossary

pp. 524, 604

Vocabulary

pp. 524, 656Animation

pp. 552, 648

Quadratic and Exponential Quadratic and Exponential FunctionsFunctions

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.3.6, ✔3102.3.19,

SPI 3102.3.11

CLE 3102.3.8, ✔3102.3.32,

SPI 3102.3.10

✔3102.1.14, SPI 3102.1.5,

SPI 3102.3.11

✔3102.3.12

CLE 3102.3.8, ✔3102.3.30,

SPI 3102.3.10

CLE 3102.3.8, ✔3102.3.31,

SPI 3102.3.10

CLE 3102.3.6, CLE 3102.3.9,

SPI 3102.3.11

CLE 3102.3.9, ✔3102.3.33,

✔3102.3.35

SPI 3102.1.1, CLE 3102.3.1,

✔3102.3.1

✔3102.1.4, SPI 3102.1.1

✔3102.5.1


9-1 Graphing Quadratic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .525

Extend: Algebra Lab Rate of Change of a Quadratic Function . . . . . . . . . . . . . . . . . . . 536

9-2 Solving Quadratic Equations by Graphing. . . . . . . . . . . . . . . . . . . . . . . . . . . .537

Extend: Graphing Technology Lab Quadratic Inequalities . . . . . . . . . . . . . . . . . . . . . . 543

9-3 Transformations of Quadratic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . .544

Extend: Graphing Technology Lab Systems of Linear and Quadratic Equations . . . . . . 550

9-4 Solving Quadratic Equations by Completing the Square . . . . . . . . . . . . . . . .552

9-5 Solving Quadratic Equations by Using the Quadratic Formula. . . . . . . . . . . .558

Extend: Graphing Technology Lab Cubic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 565

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .566

9-6 Exponential Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .567

9-7 Growth and Decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .573

9-8 Geometric Sequences as Exponential Functions . . . . . . . . . . . . . . . . . . . . . .578

9-9 Analyzing Functions with Successive Differences and Ratios. . . . . . . . . . . .584

Extend: Graphing Technology Lab Curve Fitting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 590

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .597



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xxi

Unit 4 | Advanced Functions and Equations

Self-Check

Practice

pp. 597, 603

Foldables

pp. 524, 604Graphing

Calculator

pp. 550, 611

Virtual

Manipulatives

pp. 580, 631

Radical Functions Radical Functions and Geometryand Geometry

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.3.6, ✔3102.3.19

✔3102.3.19

✔3102.2.3, ✔3102.2.4,

SPI 3102.2.1

✔3102.1.18

✔3102.2.3, ✔3102.2.4,

SPI 3102.2.1

SPI 3102.3.7

✔3102.4.2, ✔3102.4.3,

✔3102.4.4

SPI 3102.4.3

✔3102.4.1

✔3102.1.3

Get Ready for Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 603

10-1 Square Root Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .605

Extend: Graphing Technology Lab Graphing Square Root Functions . . . . . . . . . . . . 611

10-2 Simplifying Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .612

Extend: Graphing Technology Lab Rational Exponents . . . . . . . . . . . . . . . . . . . . . . 618

10-3 Operations with Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . .619

10-4 Radical Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .624

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .629

10-5 The Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .630

10-6 The Distance and Midpoint Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . .636

10-7 Similar Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .642

Explore: Algebra Lab Investigating Trigonometric Ratios . . . . . . . . . . . . . . . . . . . . . 648

10-8 Trigonometric Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .649

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .661


Tennessee Test Practice, Chapters 1–10 . . . . . . . . . . . . . . . . . . . . . . . . . . .664

x_xxv_TOC_892242.indd xxix_xxv_TOC_892242.indd xxi 13/04/10 11:54 AM13/04/10 11:54 AM

xxii


Unit 4 | Advanced Functions and Equations

Animation



eGlossary

pp. 668, 738

Personal Tutor

pp. 691, 785

Rational Functions Rational Functions and Equationsand Equations

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.1.7

✔3102.3.19

CLE 3102.1.6

CLE 3102.3.6, SPI 3102.3.4,

SPI 3102.3.7

CLE 3102.3.3, SPI 3102.3.4

SPI 3102.3.4

CLE 3102.3.3, SPI 3102.3.4,

CLE 3102.4.2

CLE 3102.3.3, ✔3102.3.6,

✔3102.3.10

CLE 3102.3.3, ✔3102.3.10,

SPI 3102.3.4

CLE 3102.3.3, ✔3102.3.10,

SPI 3102.3.4

CLE 3102.3.3, ✔3102.3.15,

SPI 3102.3.7


Explore: Graphing Technology Lab Inverse Variation . . . . . . . . . . . . . . . . . . . . . . . . 669

11-1 Inverse Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .670

Explore: Algebra Lab Reading Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . 677

11-2 Rational Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .678

11-3 Simplifying Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .684

Extend: Graphing Technology Lab Simplifying Rational Expressions . . . . . . . . . . . . 691

11-4 Multiplying and Dividing Rational Expressions . . . . . . . . . . . . . . . . . . . . . . .692

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .699

11-5 Dividing Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .700

11-6 Adding and Subtracting Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . .706

11-7 Mixed Expressions and Complex Fractions . . . . . . . . . . . . . . . . . . . . . . . . . .714

11-8 Rational Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .720

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .731



x_xxv_TOC_892242.indd xxiix_xxv_TOC_892242.indd xxii 13/04/10 11:55 AM13/04/10 11:55 AM

xxiii

Unit 5 | Data Analysis

Virtual

Manipulatives

pp. 680, 758

Graphing

Calculator

pp. 691, 785

Foldables


Practice

pp. 673, 797

Statistics and Statistics and ProbabilityProbability

Algebra SE 2012 [TN]978-0-07-892705-8



CLE 3102.1.4

CLE 3102.5.1, SPI 3102.5.1

CLE 3102.5.1, ✔3102.5.3,

SPI 3102.5.2

✔3102.3.2, CLE 3102.5.3,

✔3102.5.12

CLE 3102.5.3, ✔3102.5.14,

✔3102.5.15

✔3102.5.5, ✔3102.5.18

CLE 3102.1.7

CLE 3102.5.2, ✔3102.5.17,

SPI 3102.5.5


Explore: Algebra Lab Survey Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 739

12-1 Designing a Survey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .740

12-2 Analyzing Survey Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .746

12-3 Statistics and Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .756

Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .763

12-4 Permutations and Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .764

12-5 Probability of Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .771

12-6 Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .779

Extend: Graphing Technology Lab The Normal Curve . . . . . . . . . . . . . . . . . . . . . . . 785

12-7 Probability Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .787

ASSESSMENT


Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .797



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Student HandbookStudent Handbook

Built-In Workbooks

Problem-Solving Handbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .804

Extra Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .815

Mixed Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .845

Concepts and Skills Bank . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .857

Reference

Key Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1

Selected Answers and Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R12

Photo Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R96

Glossary/Glosario . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R98

Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R120

Formulas and Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside Back Cover

Symbols and Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside Back Cover

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Welcome to Welcome to Tennessee Algebra 1Tennessee Algebra 1

Tennessee Advisory Board

Each advisory board member reviewed instructional materials at different stages of development.

Lisa M. BaranoskiNumeracy CoachAntioch High SchoolNashville, TN

Tracy H. BensonMath Intervention Specialist Grades 4–6Catlettsburg Elementary SchoolSevierville, TN

Stephen W. BlessingDirector of Curriculum, 6–12Coffee County SchoolsManchester, TN

Dr. Allison ClarkMathematics Curriculum

SpecialistShelby County SchoolsMemphis, TN

Dr. Brenda P. DeanAssistant SuperintendentMorristown, TN

Ashley Donoho3rd Grade Teacher Dresden Elementary SchoolDresden, TN

Jane HudginsAssistant Principal/Literacy

LeaderMartin Elementary SchoolMartin, TN

Tamora L. Jackson, B.B.A., M.A.T., E.d.D.

6th/7th Grade TeacherBellevue Middle SchoolMemphis, TN

Timothy JonesExemplary TeacherShelby County SchoolsMemphis, TN

Randall B. KincaidSupervisor of Instruction,

PreK–3Sevier County Board of

EducationSevierville, TN

Leslie MatternMath TeacherSevier County High SchoolSevierville, TN

Gary A. PetkoMathematics SpecialistKnox County SchoolsKnoxville, TN

Sherleta Sanders2nd Grade TeacherLaVergne Lake ElementaryLaVergne, TN

Ernestine Saville-BrockMath CoordinatorMetro-Nashville Public

SchoolsNashville, TN

Leah B. Tomlinson8th Grade Math TeacherWest Wilson Middle SchoolMt. Juliet, TN

Jerry L. WhitakerMathematics Curriculum

CoordinatorWashington CountyJonesborough, TN

Master the Tennessee Curriculum Standards in 3 Easy Steps

1 Practice the Standards Daily

Tennessee Curriculum Standards Each lesson addresses the Tennessee Curriculum standards covered in that lesson.

Tennessee Test Practice Questions aligned to the standards provide you with ongoing opportunities to sharpen your test-taking skills.

2 Practice the Standards Throughout the Chapter

Tennessee Test Practice Example Every chapter contains a completely worked-out Tennessee Test Practice Example to help you solve problems that are similar to those you might find on Tennessee assessments.

Tennessee Test Practice Every chapter contains two full pages of Tennessee Test Practice with Test-Taking Tips.

3 Practice the Standards Weekly

Tennessee Weekly Standards

Review Use pages TN1–TN20 to practice questions that review Tennessee’s SPIs. Lesson references are included should you need a little refresher.

Algebra SE 2012 [TN]978-0-07-892705-8


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Welcome to Tennessee Algebra 1

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TN2 | Weekly Standards Review

Monday

1 A store advertises a sale on t-shirts. The advertised price is four t-shirts for $48. Write and solve an equation to find the cost of one t-shirt. (Lesson 2-2) (SPI 3102.3.5)

A $8

B $12

C $16

D $48

Wednesday

3 A rectangular picture frame has length three inches longer than twice its width. The perimeter is 36 inches. Find the width of the frame. (Lesson 2-1) (SPI 3102.3.5)

2x + 3

x

A 5 in.

B 7 in.

C 10 in.

D 11 in.

Tuesday

2 The cost of a ticket to an amusement park increased from $40 to $50. Find the percent of increase. (Lesson 2-7) (SPI 3102.1.5)

F 10%

G 12%

H 20%

J 25%

Thursday

4 On an architectural drawing, one inch corresponds to 15 feet. Find the length of a large conference room that measures 5 inches on the drawing. (Lesson 2-6) (SPI 3102.4.4)

F 3 feet

G 10 feet

H 20 feet

J 75 feet

Friday

5 Two car rental companies are competing for business. Company A charges $50 per day plus $0.20 per mile driven. Company B charges $30 per day plus $0.60 per mile driven. If a car is rented for one day, how many miles must be driven for the cost to be the same for each company? (Lesson 2-4) (SPI 3102.3.5)

A 25 miles

B 42 miles

C 50 miles

D 200 miles

Week 2

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Tennessee Weekly Standards Review

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Monday

1 Write the following numbers in increasing order. (Lesson 1-3) (SPI 3102.2.3)

9, -2, 21, 3, 0, -6, -11

A 0, -2, 3, -6, 9, -11, 21

B -2, -6, -11, 0, 3, 9, 21

C -11, -6, -2, 0, 3, 9, 21

D 21, 9, 3, 0, -2, -6, -11

Wednesday

3 The total driving distance along the length of the state of Tennessee is 440 miles. The function d = 440t describes the distance d traveled in t trips across the state made by a truck driver. Find the distance travelled for 5 trips. (Lesson 1-7) (SPI 3102.3.7)

A 88 miles

B 435 miles

C 2,020 miles

D 2,200 miles

Tuesday

2 Sam advertises his tutoring service for $65 for two hours. Find the cost for five hours of tutoring. (Lesson 2-6) (SPI 3102.4.4)

F $13.00

G $32.50

H $162.50

J $325.00

Thursday

4 The cost of a 64 ounce bottle of laundry detergent is $7.68. Find the price of a 96 ounce bottle if the price per ounce stays constant. (Lesson 2-6) (SPI 3102.4.4)

F $11.02

G $11.52

H $12.40

J $15.36

Friday

5 A bookstore sells hardcover books for $14 and paperback books for $9. The expression C = 14h + 9p represents the total cost of h hardcover and p paperback books. Find the total cost for a customer who buys 3 hardcover and 5 paperback books. (Lesson 1-5) (SPI 3102.1.3)

A $23

B $87

C $97

D $184

Week 3


Tennessee Curriculum StandardsCLE 3102.3.4 Solve problems involving linear equations and linear inequalities.

SPI 3102.3.5 Write and/or solve linear equations, ineqineqineqineqequaliualiualiualiua tiestiestiestieses ananan, an, a d cod cod cod cod compompoumpoumpoupoundndndnd diineqineqineqineqq liualiualiualiualititiestiestiesties iincincinc incl diludiludiludiludi tng tng tng tgg hhosehosehosehose

tcontcontcontcont i iainiainiainiaining ang ang ang ag b lbsolbsolbsolbsol tuteuteuteute lvaluvaluvaluvalueee.e.

SPI 3102.3.8 Determine the equation of a line and/or

55. Which statement is most strongly supported

by the graph?

115110105100

y

x1 2 3 4 5 6

AA A A YYYouYouYou hhha hahaveveve $$10$10$10$1000 a0 a0 a ddndnd nd spespespep ddndnd nd $$5$5$5 $5 weeweeweeklklklyklyklyy..

BBB B YYouYouYou hhaha haveveve $10$10$10$1000 a0 a0 a dndndnd savsavsav $e $e $e $55 w5 w5 w keekeekeekllylyly.y

CCC C C YYouYouYouou nene nee dededed ed $1$10$10$10$ 0 f0 f0 f0 f0 ororor o a na na na ewewew e CCDCDCD C lplaplaplap ap yeryeryeryey ddand save $$5$5 weeklklkly.

D You need $100 for a new CD player d d $ kl

57. GEOMETRY Which triangle is similar to �ABC?

8.6

18

15

F 6.4

121212

10 H 6 11.5

14 214 214.2

GGG G 555

10

888 JJJ J J

9

7 57 57.54 34 34.34.3

Standardized Test PracticeSPI 3102.5.1, SPI 3102.1.3, SPI 3108.4.12, SPI 3102.3.6SPI 3102.5.1, SPI 3102.1.3, SPI 3108.4.12, SPI 3102.3.6

Find the x- and y-intercepts of the line y

x

30302525202015151010055

5 10 15 20

0

0 x

3graphed at the right.

A x-intercept is 0; y-intercept is 30.

B x-intercept is 20; y-intercept is 30.

C x-intercept is 20; y-intercept is 0.

D x-intercept is 30; y-intercept is 20.

ReadReadReadRead thethethe the TesTesTes Test Itt Itt Itt Itememem

WWe nWe nWe n deedeedeed dto dto dto deteretereter imineminemine hthethe the xxx an- an- andddd yyy iint-int-interceerceerceptsptspts fof tof tof th lhe lhe lhe liineineine iin tin tin thhe ghe ghe g hraphraphraph.

Test Example 2SPI 3102.3.8

Mondaayyy

1 A store adveadvertised pand solve ant-shirt. (LLessso

A $8

B $12

C $16

D $48

Tuesddaayyy

2 The cost of aincreased froincrease. ((Les

F 10%

G 12%

H 20%

J 25%

Friddaayy

5 Two car rent$0.20 per milrented for oncompany? (L

A 25 miles

Weekk Weekk222222

Tennessee Weekly Standards ReviewTennessee Weekly Standards Review

How Should I Study?The good news is that you’ve been studying all along a little bit every day. Here are some of the ways your textbook has been preparing you.

• Every Day Each lesson has practice questions that cover the Tennessee State Performance Indicators.

• Every Week The Mid-Chapter Quiz and Practice Test have several practice questions. Also, the following pages include a section called Weekly Standards Review. These pages give you practice questions that cover the SPIs.

• Every Chapter Each chapter has two full pages of practice questions that review the SPIs.

How Should I Use the WeeklyStandards Review?The Weekly Standards Review consists of 20 weeks of practice problems that cover the Tennessee State Performance Indicators. You should plan to complete one practice page each week to help you review the SPIs.

If you are struggling with any of the items, lesson references are provided so that you can go back and review from the pages in your textbook.

Multiple-Choice ItemsFor multiple-choice questions, you will select the correct response from four answer choices. Your teacher will provide you with an answer sheet to fill in your answer choices.

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Monday

1 Juan pays a monthly rate of $42 for his cell phone plus a $0.10 charge per text message. Express the situation algebraically if x represents the number of text messages sent. (Lesson 1-1) (SPI 3102.1.2)

A 42.1xB 42x + 0.1

C 42 + 0.1xD x + 0.1

Wednesday

3 The local roller rink charges $6 for admission, $2 for skate rental, and $3 for a pizza/drink combination. What is the total cost of four kids for going to the roller rink? (Lesson 1-4) ( SPI 3102.1.3)

A $11

B $24

C $36

D $44

Tuesday

2 The table shows the number of books Emily read each week during the first three weeks of summer vacation. Which element is not part of the range? (Lesson 1-7) (SPI 3102.3.7)

WEEK BOOKS

1 4

2 2

3 5

F 2

G 3

H 4

J 5

Thursday

4 Evaluate the expression 3(x2 - y) + 4 if x = 3 and y = 2. (Lesson 1-2) (SPI 3102.1.3)

F 16

G 25

H 29

J 33

Friday

5 A one-day visit to Dollywood in Tennessee’s Smoky Mountains costs $56 for an adult and $45 for a child. Find the cost of admission for two adults and four children. (Lesson 1-3) (SPI 3102.1.3)

A $101

B $112

C $292

D $314

Week 1


Test-Taking Tip

Question 2 Use the figures and the formula for area to set up an equation. The product of the length and width of each figure should be equal.

Multiple Choice

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

1. Which point on the number line best represents the position of √�8 ?

−5 543−4 −3 −2 −1 210

A -2.8 C 2.8

B 1 D 4

2. Find the value of x so that the figures have the same area.

25 ft

(x - 6) ft

15 ft

x ft

F 10 H 13

G 12 J 15

3. The elevation of Black Mountain is 27 feet more than 16 times the lowest point in the state. If the elevation of the lowest point in the state is 257 feet, what is the elevation of Black Mountain?

A 4,085 feet C 4,139 feet

B 4,103 feet D 4,215 feet

4. The expression (3 x 2 + 5x - 12) - 2( x 2 + 4x + 9) is equivalent to which of the following?

F x 2 - 3x - 30

G x 2 + 13x + 6

H 5 x 2 + x -18

J x 2 + 3x -21

5. The amount of soda, in fluid ounces, dispensed from a machine must satisfy the equation ⎪a - 0.4⎥ = 20. Which of the following graphs shows the acceptable minimum and maximum amounts that can be dispensed from the machine?

A 19.4 19.6 19.8 20 20.2 20.4 20.6

B 19.4 19.6 19.8 20 20.2 20.4 20.6

C 19.4 19.6 19.8 20 20.2 20.4 20.6

D 19.4 19.6 19.8 20 20.2 20.4 20.6

6. If a and b represent integers, ab = ba is an example of which property?

F Associative Property

G Commutative Property

H Distributive Property

J Closure Property

7. The sum of one fifth of a number and three is equal to half of the number. What is the number?

A 5 C 15

B 10 D 20

8. Aaron charges $15 to mow the lawn and $10 per hour for other gardening work. Which expression represents his earnings?

F 10h

G 15h

H 15h + 10

J 15 + 10h

Standardized Test PracticeStandardized Test PracticeCumulative, Chapters 1 and 2Cumulative, Chapters 1 and 2

148 | Chapter 2 | Standardized Test Practice

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Short Response/Gridded Response

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

9. The formula for the lateral area of a cylinder is A = 2πrh, where r is the radius and h is the height. Solve the equation for h.

r

h

10. GRIDDED RESPONSE Solve the proportion x _ 18

= 7 _ 21

.

11. GRIDDED RESPONSE The table shows the cost of renting a moving van. If Miguel budgeted $75, how many miles could he drive the van and maintain his budget?

Moving Van Rentals

Flat Fee$50 for up to

300 miles

Variable Fee$0.20 per mile

over 300

12. Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters. Round to the nearest whole number.

13. GRIDDED RESPONSE Lara’s car needed a particular part that costs $75. The mechanic charges $50 per hour to install the part. If the total cost was $350, how many hours did it take to install the part?

14. Lucinda is buying a set of patio furniture that is

on sale for 4 _ 5 of the original price. After she uses

a $50 gift certificate, the total cost before sales tax is $222. What was the original price of the patio

furniture?

Extended Response

Record your answers on a sheet of paper. Show your work.

15. The city zoo offers a yearly membership that costs $120. A yearly membership includes free parking. Members can also purchase a ride pass for an additional $2 per day that allows them unlimited access to the rides in the park. Nonmembers pay $12 for admission to the park, $5 for parking, and $5 for a ride pass.

a. Write an equation that could be solved for the number of visits it would take for the total cost to be the same for a member and a nonmember if they both purchase a ride pass each day. Solve the equation.

b. What would the total cost be for members and nonmembers after this number of visits?

c. Georgena is deciding whether or not to purchase a yearly membership. Explain how she could use the results above to help make her decision.

Need Extra Help?

If you missed Question... 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Go to Lesson... 0-2 2-5 2-2 1-4 2-5 1-3 2-4 1-1 2-8 2-6 2-3 2-8 2-3 2-4 2-4

For help with TN SPI... 3102.2.3 3102.3.5 3102.3.5 3102.1.3 3102.3.5 3102.1.3 3102.1.2 3102.1.2 3102.3.5 3102.3.5 3102.1.2 3102.1.2 3102.1.2 3102.1.2 3102.1.2

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