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Authors Holliday   Luchin   Marks   Day Cuevas   Carter   Casey   Hayek (br) Courtesy Ceder Point, Sandusky, Ohio, USA (bkgd) Created by Michael Tro tt with Mathematica. From “Gra phica 1”, Copyright © 1999 Wolfram Media, Inc.

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Authors

Holliday • Luchin

 • Marks

 • DayCuevas  •  Carter  •  Casey  •  Hayek 

(br) Courtesy Ceder Point, Sandusky, Ohio, USA(bkgd) Created by Michael Trott with Mathematica. From “Graphica 1”, Copyright © 1999 Wolfram Media, Inc.

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About the Cover

Reaching a dizzying height of 420 feet and a top speed of 120 miles per hour, the Top Thrill Dragster in Sandusky, Ohio,is the tallest and fastest roller coaster in the world. Riders of the Top Thrill Dragster accelerate to top speed in approximately four seconds and then zoom straight up on a track that rotates90 degrees. In Chapter 4, you will learn about rates of changelike speeds.

About the Graphics Twisted torus. Created with Mathematica.

A torus with rose-shaped cross section is constructed. Thenthe cross section is rotated around its center as it movesalong a circle to form a twisted torus. For more information,and for programs to construct such graphics,see:  www.wolfram.com

Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. Except aspermitted under the United States Copyright Act, no part of this publication may bereproduced or distributed in any form or by any means, or stored in a database orretrieval system, without prior permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN: 978-0-07-873822-7MHID: 0-07-873822-9

Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 043/079 15 14 13 12 11 10 09 08 07 06

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Contents  in Brief

Unit 1 Foundations for Functions1 The Language and Tools of Algebra

2 Solving Linear Equations

Unit 2 Linear Functions

3 Functions and Patterns4 Analyzing Linear Equations

5 Solving Systems of Linear Equations

6 Solving Linear Inequalities

Unit 3 Polynomials and Nonlinear Functions7 Polynomials

8 Factoring

9 Quadratic and Exponential Functions

Unit 4 Advanced Expressions and Data Analysis10 Radical Expressions and Triangles

11 Rational Expressions and Equations

12 Statistics and Probability

  i

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Berchie Holliday, Ed.D.

National MathematicsConsultantSilver Spring, MD

Gilbert J. Cuevas, Ph.D.

Professor of MathematicsEducationUniversity of MiamiMiami, FL

Beatrice Luchin

Mathematics ConsultantLeague City, TX

John A. Carter, Ph.D.Director of MathematicsAdlai E. Stevenson HighSchool

Lincolnshire, IL

Daniel Marks, Ed.DProfessor Emeritus of Mathematics

Auburn University at

Montgomery Mongomery, AL

Roger Day, Ph.D.Associate Professor of Mathematics

Department of Mathematics

Illinois State University Normal, IL

iv

Authors

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Ruth M. Casey

Mathematics TeacherDepartment ChairAnderson County HighSchool

Lawrenceburg, KY 

Linda M. Hayek

Mathematics TeacherRalston Public SchoolsOmaha, NE

 

Carol E. Malloy, Ph.D Associate ProfessorUniversity of North Carolinaat Chapel Hill

Chapel Hill, NC

Dinah Zike

Educational Consultant,Dinah-Might Activities, Inc.San Antonio, TX

 Viken Hovsepian

Professor of MathematicsRio Hondo CollegeWhittier, CA

Contributing Authors

Meet the Authors at algebra1.com

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vivi

Consultants

Glencoe/McGraw-Hill wishes to thank the following professionals fortheir feedback. They were instrumental in providing valuable inputtoward the development of this program in these specific areas.

Consultants

ContentBob McCollum Associate PrincipalCurriculum and InstructionGlenbrook South High SchoolGlenview, Illinois

Differentiated InstructionNancy Frey, Ph.D. Associate Professor of Literacy

San Diego State UniversitySan Diego, California

English Language LearnersMary Avalos, Ph.D. Assistant Chair, Teaching and Learning Assistant Research ProfessorUniversity of Miami, School of EducationCoral Gables, Florida

Jana Echevarria, Ph.D.Professor, College of EducationCalifornia State University, Long BeachLong Beach, California

Josefina V. Tinajero, Ph.D.Dean, College of EducatifonThe University of Texas at El PasoEl Paso, Texas

Gifted and TalentedEd Zaccaro AuthorMathematics and science books for gifted childrenBellevue, Iowa

Graphing Calculator Ruth M. CaseyMathematics TeacherDepartment Chair Anderson County High SchoolLawrenceburg, Kentucky

Jerry CumminsPast PresidentNational Council of Supervisors of Mathematics Western Springs, Illinois

Learning DisabilitiesKate Garnett, Ph.D.Chairperson, Coordinator Learning DisabilitiesSchool of EducationDepartment of Special EducationHunter College, CUNY New York, New York 

Mathematical FluencyJason Mutford

Mathematics InstructorCoxsackie-Athens Central School DistrictCoxsackie, New York 

Pre-APDixie Ross AP Calculus TeacherPflugerville High SchoolPflugerville, Texas

Reading and VocabularyDouglas Fisher, Ph.D.Director of Professional Development and ProfessorCity Heights Educational CollaborativeSan Diego State UniversitySan Diego, California

Lynn T. HavensDirector of Project CRISSKalispell School DistrictKalispell, Montana

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Each Reviewer reviewed at least two chapters of the Student Edition,giving feedback and suggestions for improving the effectiveness of themathematics instruction.

  vi

Chrissy AldridgeTeacherCharlotte Latin SchoolCharlotte, North Carolina

Mathematics TeacherSouth Mecklenburg High SchoolCharlotte, North Carolina

Danny L. Barnes, NBCTMathematics TeacherSpeight Middle SchoolStantonsburg, North Carolina

Aimee BarretteSpecial Education TeacherSedgefield Middle SchoolCharlotte, North Carolina

Karen J. BlackertMathematics TeacherMyers Park High SchoolCharlotte, North Carolina

Patricia R. BlackwellMathematics Department ChairEast Mecklenburg High SchoolCharlotte, North Carolina

Rebecca B. CaisonMathematics Teacher

 Walter M. Williams High SchoolBurlington, North Carolina

Myra CannonMathematics Department ChairEast Davidson High SchoolThomasville, North Carolina

Peter K. ChristensenMathematics/AP TeacherCentral High SchoolMacon, Georgia

Rebecca ClaiborneMathematics Department

Chairperson

George Washington CarverHigh SchoolColumbus, Georgia

Laura CrookMathematics Department ChairMiddle Creek High School Apex, North Carolina

Dayl F. CuttsTeacherNorthwest Guilford High SchoolGreensboro, North Carolina

Angela S. DavisMathematics TeacherBishop Spaugh Community Academy

Charlotte, North Carolina

Sheri Dunn-UlmTeacherBainbridge High SchoolBainbridge, Georgia

Susan M. FritschMathematics Teacher, NBCTDavid W. Butler High School

Matthews, North CarolinaDr. Jesse R. GassawayTeacherNorthwest Guilford Middle SchoolGreensboro, North Carolina

Matt GowdyMathematics TeacherGrimsley High SchoolGreensboro, North Carolina

 Wendy Hancuff TeacherJack Britt High SchoolFayetteville, North Carolina

Ernest A. Hoke Jr.Mathematics TeacherE. B. Aycock Middle SchoolGreenville, North Carolina

Carol B. HussMathematics TeacherIndependence High SchoolCharlotte, North Carolina

Deborah IvyMathematics TeacherMarie G. Davis Middle SchoolCharlotte, North Carolina

Lynda B. (Lucy) Kay

Mathematics Department ChairMartin Middle SchoolRaleigh, North Carolina

Julia KolbMathematics Teacher/Department

ChairLeesville Road High SchoolRaleigh, North Carolina

M. Kathleen KrohMathematics TeacherZ. B. Vance High SchoolCharlotte, North Carolina

Tosha S. LamarMathematics InstructorPhoenix High SchoolLawrenceville, Georgia

Kay S. Laster8th Grade Pre-Algebra/Algebra

TeacherRockingham County Middle

SchoolReidsville, North Carolina

Joyce M. LeeLead Mathematics TeacherNational Teachers Teaching with

Technology InstructorGeorge Washington Carver High

SchoolColumbus, Georgia

Susan MarshallMathematics ChairpersonKernodle Middle SchoolGreensboro, North Carolina

Alice D. McLeanMathematics Coach West Charlotte High SchoolCharlotte, North Carolina

Portia MoutonMathematics Teacher Westside High SchoolMacon, Georgia

Elaine PappasMathematics Department ChairCedar Shoals High School Athens, Georgia

Susan M. PeeplesRetired 8th Grade Mathematics

TeacherRichland School District TwoColumbia, South Carolina

Carolyn G. RandolphMathematics Department ChairKendrick High SchoolColumbus, Georgia

Tracey ShawMathematics TeacherChatham Central High SchoolBear Creek, North Carolina

Marjorie SmithMathematics TeacherEastern Randolph High SchoolRamseur, North Carolina

McCoy Smith, IIIMathematics Department ChairSedgefield Middle SchoolCharlotte, North Carolina

Bridget Sullivan8th Grade Mathematics TeacherNortheast Middle SchoolCharlotte, North Carolina

Marilyn R. ThompsonGeometry/Mathematics Vertical

Team ConsultantCharlotte-Mecklenburg SchoolsCharlotte, North Carolina

Gwen TurnerMathematics TeacherClarke Central High School Athens, Georgia

Elizabeth WebbMathematics Department ChairMyers Park High SchoolCharlotte, North Carolina

Jack WhittemoreC & I Resource TeacherCharlotte-Mecklenburg SchoolsCharlotte, North Carolina

Angela WhittingtonMathematics TeacherNorth Forsyth High School Winston-Salem, North Carolina

Kentucky Consultants

Amy Adams CashMathematics Educator/

Department ChairBowling Green High School

Bowling Green, Kentucky

Susan Hack, NBCTMathematics TeacherOldham County High SchoolBuckner, Kentucky

Kimberly L. Henderson

HockneyMathematics EducatorLarry A. Ryle High SchoolUnion, Kentucky

Teacher Reviewers