Authors Holliday • Luchin • Cuevas • Carter Marks • Day • Casey • Hayek About the Cover The Big Bend Region is the westernmost region of . Known for its wide open skies, it is home to the International El Paso Balloon Festival. The distance that a balloon travels is determined by its rate, or speed, and the time it is in the air. Mathematically, these three variables are related by the linear function d = rt. You’ll learn more about linear functions in Chapters 3, 4, and 5.

About the Graphics Periodic pattern on a sphere. Created with Mathematica. A periodic pattern made from various n-gons separated by bands was constructed in the plane. The pattern was stereographically mapped onto the upper half of a sphere. For more information, and for programs to construct such graphics, see: www.wolfram.com/r/ textbook.

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the Copyright Act, 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 prior permission of the publisher.

Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027

ISBN-13: 9780078738234 ISBN-10: 0-07-873823-7

Printed in the United States of America.

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

Unit 1 Foundations for Functions 1 The Language and Tools of Algebra 2 Solving Linear Equations

Unit 2 Linear Functions 3 Functions and Patterns 4 Analyzing Linear Equations 5 Solving Systems of Linear Equations 6 Solving Linear Inequalities

Unit 3 Polynomials and Nonlinear Functions 7 Polynomials 8 Factoring 9 Quadratic and Exponential Functions

Get Ready for The Texas Test Unit 4 Advanced Expressions and Data Analysis 10 Radical Expressions and Triangles 11 Rational Expressions and Equations 12 Statistics and Probability

iii Authors

Berchie Holliday, Ed.D. Gilbert J. Cuevas, Ph.D. National Mathematics Professor of Mathematics Consultant Education Silver Spring, MD University of Miami Miami, FL

Beatrice Luchin John A. Carter, Ph.D. Mathematics Consultant Director of Mathematics League City, TX Adlai E. Stevenson High School Lincolnshire, IL

Consulting Author

Carol E. Malloy, Ph.D Associate Professor University of North Carolina at Chapel Hill Chapel Hill, NC

iv Meet the Authors at tx.algebra1.com Daniel Marks, Ed.D Ruth M. Casey Professor Emeritus of Mathematics Teacher Mathematics Department Chair Auburn University at Anderson County High Montgomery School Mongomery, AL Lawrenceburg, KY

Roger Day, Ph.D. Linda M. Hayek Associate Professor of Mathematics Teacher Mathematics Ralston Public Schools Department of Mathematics Omaha, NE Illinois State University Normal, IL

Contributing Author

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

v Texas Mathematics Advisory Board

Glencoe wishes to thank the following professionals for their invaluable feedback during the development of the program. They reviewed the table of contents, the prototype of the Teacher Wraparound Edition, and the Get Ready for the Texas Test chapter.

Louisa Acosta Teresa Gillioz Susan Kocher Mathematics Teacher/Dept. Mathematics Teacher/Dept. 7th Grade Mathematics Chair Chair Teacher/Mathematics Dept. Pflugerville Middle School Deepwater Jr. High/ Chair Pflugerville, Texas Deer Park ISD Katy ISD Pasadena, Texas Katy, Texas

Gail Brown Rita Hines Sharon L. Kotarski Teacher, Sixth Grade Advanced Placement IB/AP Teacher Mathematics Mathematics Teacher Coronado High School Mann Middle School Townview’s Science and El Paso, Texas Abilene, Texas Engineering Magnet Dallas, Texas

Leslie Denise Cerqueira John W. Kaatz Gary Lamoureaux Mathematics Dept. Co-Chair Mathematics Teacher/Dept. 6th Grade Mathematics & Teacher Chair Teacher South Houston Intermediate Westwood High School Running Brushy Middle School Austin, Texas School South Houston, Texas Leander, Texas vi Maryann S. McDaniel Antoinette Norris-Woodson CaLandra Pervis Monique M. Smith Mathematics Coordinator Mathematics & Kumon Secondary Mathematics Mathematics Department Waller Independent School Instructor Consultant Chairperson District Lake Jackson Kumon/Angleton Project GRAD-Houston Patrick Henry Middle School Waller, Houston, Texas Houston, Texas Angleton, Texas

Kimberly Moos Lizabeth Pool Peters, M. Ed. Damian J. Pillatzke Nancy Trent 7th Grade Mathematics Mathematics Dept. Chair & Secondary Mathematics Mathematics Teacher Teacher Educator Teacher The Woodlands High School Francis R. Scobee Jr. Hal Peterson Middle School The Woodlands, Texas High School Kerrville, Texas El Paso, Texas San Antonio, Texas

Mayen S. Nelson Dori Peterson Cyndi Smith Nancy Waldrum Mathematics Dept. Chair Mathematics Coordinator Instructional Specialist Instructional Services Woodson K-8 John Paul Stevens High Mann Middle School Coordinator Houston, Texas School Abilene, Texas Paris High School San Antonio, Texas Paris, Texas

vii Consultants

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

Content Learning Disabilities Bob McCollum Kate Garnett, Ph.D. Associate Principal Chairperson, Coordinator Learning Disabilities Curriculum and Instruction School of Education Glenbrook South High School Department of Special Education Glenview, Illinois Hunter College, CUNY New York, New York Differentiated Instruction Nancy Frey, Ph.D. Mathematical Fluency Associate Professor of Literacy Jason Mutford San Diego State University Mathematics Instructor San Diego, California Coxsackie-Athens Central School District Coxsackie, New York English Language Learners Mary Avalos, Ph.D. Pre-AP Assistant Chair, Teaching and Learning Dixie Ross Assistant Research Professor AP Calculus Teacher University of Miami, School of Education Coral Gables, Florida Pflugerville, Texas Jana Echevarria, Ph.D. Professor, College of Education Reading and Vocabulary California State University, Long Beach Douglas Fisher, Ph.D. Long Beach, California Director of Professional Development and Professor Josefina V. Tinajero, Ph.D. City Heights Educational Collaborative San Diego State University Dean, College of Educatifon San Diego, California The University of Texas at El Paso El Paso, Texas Lynn T. Havens Director of Project CRISS Gifted and Talented Kalispell School District Kalispell, Montana Ed Zaccaro Author Mathematics and science books for gifted children Bellevue, Iowa Graphing Calculator Ruth M. Casey Mathematics Teacher Department Chair Anderson County High School Lawrenceburg, Kentucky Jerry Cummins Past President National Council of Supervisors of Mathematics Western Springs, Illinois viii TeacherTexas Reviewers Reviewers

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

Cindy Anderson Michael Jurca Dori Peterson Mathematics Facilitator Mathematics Teacher Mathematics Coordinator John Paul Stevens High School Waco, Texas Canutillo, Texas San Antonio, Texas Cathy Eastham Sharon L. Katarski Carlos E. Rodriguez Mathematics Department Chairperson IB/AP Teacher 8th Grade Mathematics Teacher I. H. Coronado High School Dulles Middle School Sugar Land, Texas El Paso, Texas Sugar Land, Texas Michael Fore Barbara A. Kevil Dr. Alberto Villaseñor Teacher Teacher Program Specialist, HS Mathematics Mansfield Summit High School Schindewolf I.S./Klein ISD Austin High School Arlington, Texas Spring, Texas El Paso, Texas Jeanne L. Harding Deia Langston Nancy Waldrum 8th Grade Mathematics/Algebra I Teacher Teacher Instructional Services Coordinator Freeport Intermediate School Brazosport High School Paris High School Freeport, Texas Freeport, Texas Paris, Texas Dennis Haynie Randy A. Parrish Patricia Wallace Algebra I Teacher Mathematics Department Chair Teacher Lee Freshman High School Levelland High School Midland, Texas Levelland, Texas Klein, Texas Christina Johnson CaLandra Pervis Melissa Williamson Mathematics Dept. Co-Chair Secondary Mathematics Consultant Mathematics Dept. Head Project GRAD-Houston Klein Collins High School Flower Mound, Texas Houston, Texas Spring, Texas

State Mammal (large): Texas Longhorn

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