5 TH EDITION BEGINNING AND INTERMEDIATE ALGEBRA This page intentionally left blank 5 TH EDITION BEGINNING AND INTERMEDIATE ALGEBRA Margaret L. Lial American River College John Hornsby University of New Orleans Terry McGinnis Addison-Wesley Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Editorial Director: Christine Hoag Editor-in-Chief: Maureen O’Connor Executive Content Manager: Kari Heen Content Editor: Courtney Slade Assistant Editor: Mary St. Thomas Senior Managing Editor: Karen Wernholm Senior Production Project Manager: Kathleen A. Manley Senior Author Support/Technology Specialist: Joe Vetere Digital Assets Manager: Marianne Groth Rights and Permissions Advisor: Michael Joyce Image Manager: Rachel Youdelman Media Producer: Lin Mahoney and Stephanie Green Software Development: Kristina Evans and Mary Durnwald Marketing Manager: Adam Goldstein Marketing Assistant: Ashley Bryan Design Manager: Andrea Nix Cover Designer: Beth Paquin Cover Art: Morning Glow by Gregory Packard Fine Art LLC, www.gregorypackard.com Senior Manufacturing Buyer: Carol Melville Senior Media Buyer: Ginny Michaud Interior Design, Production Coordination, Composition, and Illustrations: Nesbitt Graphics, Inc. For permission to use copyrighted material, grateful acknowledgment is made to the copyright holders on page C-1, which is hereby made part of this copyright page. Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book, and Addison-Wesley was aware of a trademark claim, the designations have been printed in initial caps or all caps. Library of Congress Cataloging-in-Publication Data Lial, Margaret L. Beginning and intermediate algebra / Margaret L. Lial, John Hornsby, Terry McGinnis. — 5th ed. p. cm. ISBN-13: 978-0-321-71542-5 (student edition) ISBN-10: 0-321-71542-X (student edition) 1. Algebra—Textbooks. I. Hornsby, John. II. McGinnis, Terry. III. Title. QA152.3.L52 2012 512—dc22 2010002285 NOTICE: This work is protected by U.S. copyright laws and is provided solely for the use of college instructors in reviewing course materials for classroom use. Dissemination or sale of this work, or any part (including on the World Wide Web), will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. Copyright © 2012, 2008, 2004, 2000 Pearson Education, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America. For information on obtaining permission for use of material in this work, please submit a written request to Pearson Education, Inc., Rights and Contracts Department, 501 Boylston Street, Suite 900, Boston, MA 02116, fax your request to 617-671-3447, or e-mail at http://www.pearsoned.com/legal/permissions.htm. 1 2 3 4 5 6 7 8 9 10—CRK—14 13 12 11 10 www.pearsonhighered.com ISBN 13: 978-0-321-71542-5 ISBN 10: 0-321-71542-X To Callie, Kurt, Clayton, and Grady— Welcome to our family. Marge, John, and Terry This page intentionally left blank Contents Preface xiii STUDY SKILLS 1 Using Your Math Textbook xxii The Real Number System 1 1.1 Fractions 2 STUDY SKILLS Reading Your Math Textbook 14 1.2 Exponents, Order of Operations, and Inequality 15 STUDY SKILLS Taking Lecture Notes 22 1.3 Variables, Expressions, and Equations 22 1.4 Real Numbers and the Number Line 28 STUDY SKILLS Tackling Your Homework 36 1.5 Adding and Subtracting Real Numbers 37 STUDY SKILLS Using Study Cards 48 1.6 Multiplying and Dividing Real Numbers 49 SUMMARY EXERCISES on Operations with Real Numbers 59 1.7 Properties of Real Numbers 60 1.8 Simplifying Expressions 69 STUDY SKILLS Reviewing a Chapter 75 Chapter 1 Summary 76 Chapter 1 Review Exercises 79 Chapter 1 Test 83 2 Linear Equations and Inequalities in One Variable 85 2.1 The Addition Property of Equality 86 2.2 The Multiplication Property of Equality 92 2.3 More on Solving Linear Equations 97 SUMMARY EXERCISES on Solving Linear Equations 106 STUDY SKILLS Using Study Cards Revisited 107 2.4 An Introduction to Applications of Linear Equations 108 2.5 Formulas and Additional Applications from Geometry 120 2.6 Ratio, Proportion, and Percent 130 2.7 Further Applications of Linear Equations 139 2.8 Solving Linear Inequalities 151 STUDY SKILLS Taking Math Tests 164 Chapter 2 Summary 165 Chapter 2 Review Exercises 168 Chapter 2 Test 172 Chapters 1–2 Cumulative Review Exercises 173 vii viii Contents 3 Linear Equations in Two Variables 175 3.1 Linear Equations in Two Variables; The Rectangular Coordinate System 176 STUDY SKILLS Managing Your Time 187 3.2 Graphing Linear Equations in Two Variables 188 3.3 The Slope of a Line 199 3.4 Writing and Graphing Equations of Lines 211 SUMMARY EXERCISES on Linear Equations and Graphs 222 STUDY SKILLS Analyzing Your Test Results 223 Chapter 3 Summary 224 Chapter 3 Review Exercises 227 Chapter 3 Test 229 Chapters 1–3 Cumulative Review Exercises 230 4 Exponents and Polynomials 231 4.1 The Product Rule and Power Rules for Exponents 232 4.2 Integer Exponents and the Quotient Rule 239 SUMMARY EXERCISES on the Rules for Exponents 247 4.3 An Application of Exponents: Scientific Notation 248 4.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials 256 4.5 Multiplying Polynomials 265 4.6 Special Products 271 4.7 Dividing Polynomials 276 Chapter 4 Summary 285 Chapter 4 Review Exercises 288 Chapter 4 Test 291 Chapters 1–4 Cumulative Review Exercises 293 5 Factoring and Applications 295 5.1 The Greatest Common Factor; Factoring by Grouping 296 5.2 Factoring Trinomials 304 5.3 More on Factoring Trinomials 309 5.4 Special Factoring Techniques 317 SUMMARY EXERCISES on Factoring 325 STUDY SKILLS Preparing for Your Math Final Exam 328 5.5 Solving Quadratic Equations by Factoring 329 5.6 Applications of Quadratic Equations 337 Chapter 5 Summary 347 Chapter 5 Review Exercises 350 Chapter 5 Test 353 Chapters 1–5 Cumulative Review Exercises 354 Contents 6 Rational Expressions and Applications 357 6.1 The Fundamental Property of Rational Expressions 358 6.2 Multiplying and Dividing Rational Expressions 367 6.3 Least Common Denominators 373 6.4 Adding and Subtracting Rational Expressions 378 6.5 Complex Fractions 386 6.6 Solving Equations with Rational Expressions 395 SUMMARY EXERCISES on Rational Expressions and Equations 404 6.7 Applications of Rational Expressions 406 Chapter 6 Summary 415 Chapter 6 Review Exercises 419 Chapter 6 Test 422 Chapters 1–6 Cumulative Review Exercises 423 7 Graphs, Linear Equations, and Functions 425 7.1 Review of Graphs and Slopes of Lines 426 7.2 Review of Equations of Lines; Linear Models 444 SUMMARY EXERCISES on Slopes and Equations of Lines 456 7.3 Introduction to Relations and Functions 456 7.4 Function Notation and Linear Functions 464 7.5 Operations on Functions and Composition 472 7.6 Variation 480 Chapter 7 Summary 489 Chapter 7 Review Exercises 493 Chapter 7 Test 496 Chapters 1–7 Cumulative Review Exercises 498 8 Systems of Linear Equations 501 8.1 Solving Systems of Linear Equations by Graphing 502 8.2 Solving Systems of Linear Equations by Substitution 511 8.3 Solving Systems of Linear Equations by Elimination 518 SUMMARY EXERCISES on Solving Systems of Linear Equations 524 8.4 Solving Systems of Linear Equations in Three Variables 526 8.5 Applications of Systems of Linear Equations 533 8.6 Solving Systems of Linear Equations by Matrix Methods 547 Chapter 8 Summary 553 Chapter 8 Review Exercises 557 Chapter 8 Test 560 Chapters 1–8 Cumulative Review Exercises 561 ix x Contents 9 Inequalities and Absolute Value 565 9.1 Set Operations and Compound Inequalities 566 9.2 Absolute Value Equations and Inequalities 574 SUMMARY EXERCISES on Solving Linear and Absolute Value Equations and Inequalities 583 9.3 Linear Inequalities in Two Variables 584 Chapter 9 Summary 592 Chapter 9 Review Exercises 594 Chapter 9 Test 596 Chapters 1–9 Cumulative Review Exercises 596 10 Roots, Radicals, and Root Functions 599 10.1 Radical Expressions and Graphs 600 10.2 Rational Exponents 611 10.3 Simplifying Radical Expressions 619 10.4 Adding and Subtracting Radical Expressions 629 10.5 Multiplying and Dividing Radical Expressions 634 SUMMARY EXERCISES on Operations with Radicals and Rational Exponents 642 10.6 Solving Equations with Radicals 644 10.7 Complex Numbers 650 Chapter 10 Summary 658 Chapter 10 Review Exercises 662 Chapter 10 Test 665 Chapters 1–10 Cumulative Review Exercises 667 11 Quadratic Equations, Inequalities, and Functions 669 11.1 Solving Quadratic Equations by the Square Root Property 670 11.2 Solving Quadratic Equations by Completing the Square 676 11.3 Solving Quadratic Equations by the Quadratic Formula 683 11.4 Equations Quadratic in Form 690 SUMMARY EXERCISES on Solving Quadratic Equations 700 11.5 Formulas and Further Applications 701 11.6 Graphs of Quadratic Functions 709 11.7 More about Parabolas and Their Applications 719 11.8 Polynomial and Rational Inequalities 730 Chapter 11 Summary 737 Chapter 11 Review Exercises 740 Chapter 11 Test 744 Chapters 1–11 Cumulative Review Exercises 746 Contents 12 Inverse, Exponential, and Logarithmic Functions 749 12.1 12.2 12.3 12.4 12.5 12.6 Inverse Functions 750 Exponential Functions 758 Logarithmic Functions 766 Properties of Logarithms 773 Common and Natural Logarithms 782 Exponential and Logarithmic Equations; Further Applications 791 Chapter 12 Summary 801 Chapter 12 Review Exercises 804 Chapter 12 Test 808 Chapters 1–12 Cumulative Review Exercises 810 13 Nonlinear Functions, Conic Sections, and Nonlinear Systems 813 13.1 13.2 13.3 13.4 13.5 Additional Graphs of Functions 814 The Circle and the Ellipse 820 The Hyperbola and Functions Defined by Radicals 828 Nonlinear Systems of Equations 835 Second-Degree Inequalities and Systems of Inequalities 842 Chapter 13 Summary 847 Chapter 13 Review Exercises 850 Chapter 13 Test 852 Chapters 1–13 Cumulative Review Exercises 853 14 Sequences and Series 855 14.1 14.2 14.3 14.4 Sequences and Series 856 Arithmetic Sequences 862 Geometric Sequences 869 The Binomial Theorem 879 Chapter 14 Summary 884 Chapter 14 Review Exercises 887 Chapter 14 Test 889 Chapters 1–14 Cumulative Review Exercises 890 Appendix A Appendix B Appendix C Appendix D Sets 893 Review of Exponents, Polynomials, and Factoring 899 Synthetic Division 905 An Introduction to Calculators 909 Answers to Selected Exercises A-1 Glossary G-1 Credits C-1 Index I-1 xi This page intentionally left blank Preface It is with pleasure that we offer the fifth edition of Beginning and Intermediate Algebra. With each new edition, the text has been shaped and adapted to meet the changing needs of both students and educators, and this edition faithfully continues that process. As always, we have taken special care to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, updated figures and graphs, and an extensive package of supplements and study aids. We believe the result is an easy-to-use, comprehensive text that is the best edition yet. Students who have never studied algebra—as well as those who require further review of basic algebraic concepts before taking additional courses in mathematics, business, science, nursing, or other fields—will benefit from the text’s studentoriented approach. Of particular interest to students and instructors will be the NEW Study Skills activities and Now Try Exercises. This text is part of a series that also includes the following books: N Beginning Algebra, Eleventh Edition, by Lial, Hornsby, and McGinnis N Intermediate Algebra, Eleventh Edition, by Lial, Hornsby, and McGinnis N Algebra for College Students, Seventh Edition, by Lial, Hornsby, and McGinnis NEW IN THIS EDITION We are pleased to offer the following new student-oriented features and study aids: Lial Video Library This collection of video resources helps students navigate the road to success. It is available in MyMathLab and on Video Resources on DVD. MyWorkBook This helpful guide provides extra practice exercises for every chapter of the text and includes the following resources for every section: N Key vocabulary terms and vocabulary practice problems N Guided Examples with step-by-step solutions and similar Practice Exercises, keyed to the text by Learning Objective N References to textbook Examples and Section Lecture Videos for additional help N Additional Exercises with ample space for students to show their work, keyed to the text by Learning Objective Study Skills Poor study skills are a major reason why students do not succeed in mathematics. In these short activities, we provide helpful information, tips, and strategies on a variety of essential study skills, including Reading Your Math Textbook, Tackling Your Homework, Taking Math Tests, and Managing Your Time. While most of the activities are concentrated in the early chapters of the text, each has been designed independently to allow flexible use with individuals or small groups of students, or as a source of material for in-class discussions. (See pages 48 and 223.) xiii xiv Preface Now Try Exercises To actively engage students in the learning process, we now include a parallel margin exercise juxtaposed with each numbered example. These allnew exercises enable students to immediately apply and reinforce the concepts and skills presented in the corresponding examples. Answers are conveniently located on the same page so students can quickly check their results. (See pages 3 and 87.) Revised Exposition As each section of the text was being revised, we paid special attention to the exposition, which has been tightened and polished. (See Section 1.4 Real Numbers and the Number Line, for example.) We believe this has improved discussions and presentations of topics. Specific Content Changes These include the following: N We gave the exercise sets special attention. There are over 1000 new and updated exercises, including problems that check conceptual understanding, focus on skill development, and provide review. We also worked to improve the even-odd pairing of exercises. N Real-world data in over 150 applications in the examples and exercises have been updated. N There is an increased emphasis on the difference between expressions and equa- tions, including a new Caution at the beginning of Section 2.1. Throughout the text, we have reformatted many example solutions to use a “drop down” layout in order to further emphasize for students the difference between simplifying expressions and solving equations. N We increased the emphasis on checking solutions and answers, as indicated by the new CHECK tag and ✓ in the exposition and examples. N The presentation on solving linear equations in Sections 2.1–2.3 now includes five new examples and corresponding exercises. N Section 2.6 includes entirely new discussion and examples on percent, percent equations, and percent applications, plus corresponding exercises. N Section 3.4 on writing and graphing equations of lines provides increased devel- opment and coverage of the slope-intercept form, including two new examples. N Section 6.5 includes new coverage of simplifying rational expressions with nega- tive exponents. N Section 7.3 Introduction to Functions from the previous edition has been ex- panded and split into two sections. N Presentations of the following topics have also been enhanced and expanded: Dividing real numbers involving zero (Section 1.6) Solving applications involving consecutive integers and finding angle measures (Section 2.4) Solving formulas for specified variables (Sections 2.5 and 6.7) Using interval notation (Section 2.8) Graphing linear equations in two variables (Section 3.2) Dividing polynomials (Section 4.7) Factoring trinomials (Section 5.2) Solving quadratic equations by factoring (Sections 5.6 and 11.1) Solving systems of linear equations with decimal coefficients (Section 8.2) Preface xv Solving systems of linear equations in three variables (Section 8.4) Graphing linear inequalities in two variables (Section 9.3) Solving quadratic equations by substitution (Section 11.4) Evaluating expressions involving the greatest integer (Section 13.1) Graphing hyperbolas (Section 13.3) Evaluating factorials and binomial coefficients (Section 14.4) HALLMARK FEATURES We have included the following helpful features, each of which is designed to increase ease-of-use by students and/or instructors. Annotated Instructor’s Edition For convenient reference, we include answers to the exercises “on page” in the Annotated Instructor’s Edition, using an enhanced, easy-to-read format. In addition, we have added approximately 30 new Teaching Tips and over 40 new and updated Classroom Examples. Relevant Chapter Openers In the new and updated chapter openers, we feature real-world applications of mathematics that are relevant to students and tied to specific material within the chapters. Examples of topics include Americans’ personal savings rate, the Olympics, and student credit card debt. Each opener also includes a section outline. (See pages 1, 85, and 175.) Helpful Learning Objectives We begin each section with clearly stated, numbered objectives, and the included material is directly keyed to these objectives so that students and instructors know exactly what is covered in each section. (See pages 2 and 130.) Popular Cautions and Notes One of the most popular features of previous CAUTION and NOTE to warn students editions, we include information marked about common errors and emphasize important ideas throughout the exposition. The updated text design makes them easy to spot. (See pages 2 and 56.) Comprehensive Examples The new edition of this text features a multitude of step-by-step, worked-out examples that include pedagogical color, helpful side comments, and special pointers. We give increased attention to checking example solutions—more checks, designated using a special CHECK tag, are included than in past editions. (See pages 87 and 333.) More Pointers Well received by both students and instructors in the previous edition, we incorporate more pointers in examples and discussions throughout this edition of the text. They provide students with important on-the-spot reminders and warnings about common pitfalls. (See pages 192 and 281.) Updated Figures, Photos, and Hand-Drawn Graphs Today’s students are more visually oriented than ever. As a result, we have made a concerted effort to include appealing mathematical figures, diagrams, tables, and graphs, including a “hand-drawn” style of graphs, whenever possible. (See pages 188 and 261.) Many of the graphs also use a style similar to that seen by students in today’s print and electronic media. We have incorporated new photos to accompany applications in examples and exercises. (See pages 109 and 176.) xvi Preface Relevant Real-Life Applications We include many new or updated applications from fields such as business, pop culture, sports, technology, and the life sciences that show the relevance of algebra to daily life. (See pages 116 and 541.) Emphasis on Problem-Solving We introduce our six-step problem-solving method in Chapter 2 and integrate it throughout the text. The six steps, Read, Assign a Variable, Write an Equation, Solve, State the Answer, and Check, are emphasized in boldface type and repeated in examples and exercises to reinforce the problemsolving process for students. (See pages 108 and 337.) We also provide students with PROBLEM-SOLVING HINT boxes that feature helpful problem-solving tips and strategies. (See pages 139 and 338.) Connections We include these to give students another avenue for making connections to the real world, graphing technology, or other mathematical concepts, as well as to provide historical background and thought-provoking questions for writing, class discussion, or group work. (See pages 195 and 251.) Ample and Varied Exercise Sets One of the most commonly mentioned strengths of this text is its exercise sets. We include a wealth of exercises to provide students with opportunities to practice, apply, connect, review, and extend the algebraic concepts and skills they are learning. We also incorporate numerous illustrations, tables, graphs, and photos to help students visualize the problems they are solving. Problem types include writing , graphing calculator , multiple-choice, true/false, matching, and fill-in-the-blank problems, as well as the following: N Concept Check exercises facilitate students’ mathematical thinking and concep- tual understanding. (See pages 96 and 196.) N WHAT WENT WRONG? exercises ask students to identify typical errors in solu- tions and work the problems correctly. (See pages 208 and 335.) N Brain Busters exercises challenge students to go beyond the section examples. (See pages 119 and 246.) N RELATING CONCEPTS exercises help students tie together topics and develop problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. (See pages 209 and 264.) N TECHNOLOGY INSIGHTS exercises provide an opportunity for students to interpret typical results seen on graphing calculator screens. Actual screens from the TI-83/84 Plus graphing calculator are featured. (See pages 210 and 336.) N PREVIEW EXERCISES allow students to review previously-studied concepts and preview skills needed for the upcoming section. These make good oral warm-up exercises to open class discussions. (See pages 92 and 199.) Special Summary Exercises We include a set of these popular in-chapter exercises in selected chapters. They provide students with the all-important mixed review problems they need to master topics and often include summaries of solution methods and/or additional examples. (See pages 247 and 404.) Extensive Review Opportunities We conclude each chapter with the following review components: N A Chapter Summary that features a helpful list of Key Terms, organized by section, New Symbols, Test Your Word Power vocabulary quiz (with answers Preface xvii immediately following), and a Quick Review of each section’s contents, complete with additional examples (See pages 224–226.) N A comprehensive set of Chapter Review Exercises, keyed to individual sections for easy student reference, as well as a set of Mixed Review Exercises that helps students further synthesize concepts (See pages 227–228.) N A Chapter Test that students can take under test conditions to see how well they have mastered the chapter material (See page 229.) N A set of Cumulative Review Exercises (beginning in Chapter 2) that covers ma- terial going back to Chapter 1 (See page 230.) Glossary For easy reference at the back of the book, we include a comprehensive glossary featuring key terms and definitions from throughout the text. (See pages G-1 to G-8.) SUPPLEMENTS For a comprehensive list of the supplements and study aids that accompany Beginning and Intermediate Algebra, Fifth Edition, see pages xix–xxi. ACKNOWLEDGMENTS The comments, criticisms, and suggestions of users, nonusers, instructors, and students have positively shaped this textbook over the years, and we are most grateful for the many responses we have received. Thanks to the following people for their review work, feedback, assistance at various meetings, and additional media contributions: Barbara Aaker, Community College of Denver Viola Lee Bean, Boise State University Kim Bennekin, Georgia Perimeter College Dixie Blackinton, Weber State University Tim Caldwell, Meridian Community College Sally Casey, Shawnee Community College Callie Daniels, St. Charles Community College Cheryl Davids, Central Carolina Technical College Robert Diaz, Fullerton College Chris Diorietes, Fayetteville Technical Community College Sylvia Dreyfus, Meridian Community College Lucy Edwards, Las Positas College Sabine Eggleston, Edison College LaTonya Ellis, Bishop State Community College Jacqui Fields, Wake Technical Community College Beverly Hall, Fayetteville Technical Community College Sandee House, Georgia Perimeter College Lynette King, Gadsden State Community College Linda Kodama, Windward Community College Ted Koukounas, Suffolk Community College Karen McKarnin, Allen County Community College James Metz, Kapi´olani Community College Barbara Meyers, Cameron University xviii Preface Jean Millen, Georgia Perimeter College Molly Misko, Gadsden State Community College Jane Roads, Moberly Area Community College Cindy Scofield, Polk State College Lisa Scott, Texas Wesleyan University Melanie Smith, Bishop State Community College Linda Smoke, Central Michigan University Erik Stubsten, Chattanooga State Technical Community College Tong Wagner, Greenville Technical College Sessia Wyche, University of Texas at Brownsville Special thanks are due the many instructors at Broward College who provided insightful comments. Over the years, we have come to rely on an extensive team of experienced professionals. Our sincere thanks go to these dedicated individuals at Addison-Wesley, who worked long and hard to make this revision a success: Chris Hoag, Maureen O’Connor, Michelle Renda, Adam Goldstein, Kari Heen, Courtney Slade, Kathy Manley, Stephanie Green, Lin Mahoney, and Mary St. Thomas. We are especially grateful to Callie Daniels for her excellent work on the new Now Try Exercises. Abby Tanenbaum did a terrific job helping us revise real-data applications. Kathy Diamond provided expert guidance through all phases of production and rescued us from one snafu or another on multiple occasions. Marilyn Dwyer and Nesbitt Graphics, Inc., provided some of the highest quality production work we have experienced on the challenging format of these books. Special thanks are due Jeff Cole, who continues to supply accurate, helpful solutions manuals; David Atwood, who wrote the comprehensive Instructor’s Resource Manual with Tests; Beverly Fusfield, who provided the new MyWorkBook; Beth Anderson, who provided wonderful photo research; and Lucie Haskins, for yet another accurate, useful index. De Cook, Shannon d’Hemecourt, Paul Lorczak, and Sarah Sponholz did a thorough, timely job accuracy checking manuscript and page proofs. It has indeed been a pleasure to work with such an outstanding group of professionals. As an author team, we are committed to providing the best possible text and supplements package to help instructors teach and students succeed. As we continue to work toward this goal, we would welcome any comments or suggestions you might have via e-mail to [email protected] Margaret L. Lial John Hornsby Terry McGinnis Preface STUDENT SUPPLEMENTS INSTRUCTOR SUPPLEMENTS Student’s Solutions Manual N By Jeffery A. Cole, Anoka-Ramsey Community College N Provides detailed solutions to the odd-numbered, Annotated Instructor’s Edition N Provides “on-page” answers to all text exercises in section-level exercises and to all Now Try Exercises, Relating Concepts, Summary, Chapter Review, Chapter Test, and Cumulative Review Exercises xix an easy-to-read margin format, along with Teaching Tips and extensive Classroom Examples N Includes icons to identify writing and calculator exercises. These are in the Student Edition also. ISBNs: 0-321-71565-9, 978-0-321-71565-4 ISBNs: 0-321-71569-1, 978-0-321-71569-2 NEW Video Resources on DVD featuring the Lial Video Library N Provides a wealth of video resources to help stu- Instructor’s Solutions Manual N By Jeffery A. Cole, Anoka-Ramsey Community College N Provides complete answers to all text exercises, dents navigate the road to success N Available in MyMathLab (with optional subtitles in English) N Includes the following resources: Section Lecture Videos that offer a new navigation menu for easy focus on key examples and exercises needed for review in each section (with optional subtitles in Spanish and English) Solutions Clips that feature an instructor working through selected exercises marked in the text with a DVD icon Quick Review Lectures that provide a short summary lecture of each key concept from Quick Reviews at the end of every chapter in the text Chapter Test Prep Videos that include step-by-step solutions to all Chapter Test exercises and give guidance and support when needed most—the night before an exam. Also available on YouTube (searchable using author name and book title) ISBNs: 0-321-71572-1, 978-0-321-71572-2 NEW MyWorkBook N Provides Guided Examples and corresponding Now Try Exercises for each text objective N Refers students to correlated Examples, Lecture Videos, and Exercise Solution Clips N Includes extra practice exercises for every section of the text with ample space for students to show their work N Lists the learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems ISBNs: 0-321-71573-X, 978-0-321-71573-9 including all Classroom Examples and Now Try Exercises ISBNs: 0-321-71566-7, 978-0-321-71566-1 Instructor’s Resource Manual with Tests N By David Atwood, Rochester Community and Technical College N Contains two diagnostic pretests, four free-response and two multiple-choice test forms per chapter, and two final exams N Includes a mini-lecture for each section of the text with objectives, key examples, and teaching tips N Provides a correlation guide from the fourth to the fifth edition ISBNs: 0-321-71567-5, 978-0-321-71567-8 PowerPoint® Lecture Slides N Present key concepts and definitions from the text N Available for download at www.pearsonhighered.com/irc ISBNs: 0-321-71571-3, 978-0-321-71571-5 TestGen® (www.pearsonhighered.com/testgen) N Enables instructors to build, edit, print, and administer tests using a computerized bank of questions developed to cover all text objectives N Allows instructors to create multiple but equivalent versions of the same question or test with the click of a button N Allows instructors to modify test bank questions or add new questions N Available for download from Pearson Education’s online catalog ISBNs: 0-321-71568-3, 978-0-321-71568-5

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