Beginning Algebra / Edition 8

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Overview

The Tobey/Slater/Blair/Crawford series builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical “building block” organization makes it easy for students to understand each topic and gain confidence as they move through each section. Students will find many opportunities to check and reinforce their understanding of concepts throughout the text. With this revision, the author team has added a new Math Coach feature that provides students with an office hour experience by helping them to avoid commonly made mistakes. With Tobey/Slater/Blair/Crawford, students have a tutor, a study companion, and now a coach, with them every step of the way.
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Product Details

  • ISBN-13: 9780321769527
  • Publisher: Pearson
  • Publication date: 1/10/2012
  • Edition number: 8
  • Pages: 720
  • Sales rank: 280,402
  • Product dimensions: 8.40 (w) x 10.80 (h) x 1.00 (d)

Meet the Author

John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.

Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Marblehead, Massachusetts with his wife Shelley and his yellow lab Gracie.

Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the Center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007 Jamie was appointed to the Team of Basic Skills Specialist by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.

Jennifer Crawford received her BS in mathematics from the University of Minnesota – Duluth in 1995 and her MS in mathematics from the University of Minnesota – Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota where her focus is working with developmental math students. She lives in Minneapolis, Minnesota with her husband, two young children, and black lab.

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Table of Contents

Preface

Diagnostic Pretest

0. A Brief Review of Arithmetic Skills

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

0.4 Using Decimals

How Am I Doing? Sections 0.1—0.4

0.5 Percents, Rounding, and Estimating

0.6 Using the Mathematics Blueprint for Problem Solving

Use Math to Save Money

Chapter 0 Organizer

Chapter 0 Review Problems

How Am I Doing? Chapter 0 Test

Math Coach

1. Real Numbers and Variables

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

How Am I Doing? Sections 1.1—1.5

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

Use Math to Save Money

Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

Math Coach

2. Equations and Inequalities

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

How Am I Doing? Sections 2.1—2.4

2.5 Formulas

2.6 Solving Inequalities in One Variable

Use Math to Save Money

Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Math Coach

3. Solving Applied Problems

3.1 Translating English Phrases into Algebraic Expressions

3.2 Using Equations to Solve Word Problems

3.3 Solving Word Problems: Comparisons

How Am I Doing? Sections 3.1—3.3

3.4 Solving Word Problems: The Value of Money and Percents

3.5 Solving Word Problems Using Geometric Formulas

3.6 Using Inequalities to Solve Word Problems

Use Math to Save Money

Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Math Coach

Cumulative Test for Chapters 0—3

4. Exponents and Polynomials

4.1 The Rules of Exponents

4.2 Negative Exponents and Scientific Notation

4.3 Fundamental Polynomial Operations

How Am I Doing? Sections 4.1—4.3

4.4 Multiplying Polynomials

4.5 Multiplication: Special Cases

4.6 Dividing Polynomials

Use Math to Save Money

Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Math Coach

5. Factoring

5.1 Removing a Common Factor

5.2 Factoring by Grouping

5.3 Factoring Trinomials of the Form x 2 + bx + c

5.4 Factoring Trinomials of the Form ax 2 + bx + c

How Am I Doing? Sections 5.1—5.4

5.5 Special Cases of Factoring

5.6 A Brief Review of Factoring

5.7 Solving Quadratic Equations by Factoring

Use Math to Save Money

Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Math Coach

6. Rational Expressions and Equations

6.1 Simplifying Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 6.1—6.3

6.4 Simplifying Complex Rational Expressions

6.5 Solving Equations Involving Rational Expressions

6.6 Ratio, Proportion, and Other Applied Problems

Use Math to Save Money

Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Math Coach

Cumulative Test for Chapters 0—6

7. Graphing and Functions

7.1 The Rectangular Coordinate System

7.2 Graphing Linear Equations

7.3 The Slope of a Line

How Am I Doing? Sections 7.1—7.3

7.4 Writing the Equation of a Line

7.5 Graphing Linear Inequalities

7.6 Functions

Use Math to Save Money

Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Math Coach

8. Systems of Equations

8.1 Solving a System of Equations in Two Variables by Graphing

8.2 Solving a System of Equations in Two Variables by the Substitution Method

8.3 Solving a System of Equations in Two Variables by the Addition Method

How Am I Doing? Sections 8.1—8.3

8.4 Review of Methods for Solving Systems of Equations

8.5 Solving Word Problems Using Systems of Equations

Use Math to Save Money

Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Math Coach

9. Radicals

9.1 Square Roots

9.2 Simplifying Radical Expressions

9.3 Adding and Subtracting Radical Expressions

9.4 Multiplying Radical Expressions

How Am I Doing? Sections 9.1—9.4

9.5 Dividing Radical Expressions

9.6 The Pythagorean Theorem and Radical Equations

9.7 Word Problems Involving Radicals: Direct and Inverse Variation

Use Math to Save Money

Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Math Coach

10. Quadratic Equations

10.1 Introduction to Quadratic Equations

10.2 Using the Square Root Property and Completing the Square to Find Solutions

10.3 Using the Quadratic Formula to Find Solutions

How Am I Doing? Sections 10.1—10.3

10.4 Graphing Quadratic Equations

10.5 Formulas and Applied Problems

Use Math to Save Money

Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Math Coach

Practice Final Examination

Appendix A. Table of Square Roots

Appendix B. Metric Measurement and Conversion of Units

Appendix C. Interpreting Data from Tables, Charts, and Graphs

Appendix D. The Point–Slope Form of a Line

Solutions to Practice Problems

Answers to Selected Exercises

Glossary

Subject Index

Photo Credits

Index of Applications (Available in MyMathLab)

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Preface

To the Instructor

We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students—and we are confident that you share these joys with us.

Mathematics instructors and students face many challenges today. Beginning Algebra was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given to problem solving in the fifth edition. This text is written to help students organize the information in any problem-solving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.

One of the hallmark characteristics of Beginning Algebra that makes the text easy to learn and teach from is the building-block organization. Each section is written to stand on its own, and each homework set is completely self-testing. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats-including lecture-based classes; discussion-oriented classes; distance learning centers; modular, self-paced courses; mathematics laboratories; and computer-supported centers.

Beginning Algebra is part of a series that includes the following:

      Tobey/Slater, 
Basic College Mathematics, Fourth Edition
Blair/Tobey/Slater, Prealgebra, Second Edition
Tobey/Slater, Beginning Algebra, Fifth Edition
Tobey/Slater, Intermediate Algebra, Fourth Edition
Tobey/Slater, Beginning and Intermediate Algebra

We have visited and listened to teachers across the country and have incorporated a number of suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and changes in the fifth edition.

Key Features and Changes in the Fifth Edition

Developing Problem-Solving Abilities

We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problem-solving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of real-life and real-data applications. Unique problems have been developed and incorporated into the exercise sets that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making.

More Applied Problems

The exercises and applications have been extensively revised. Numerous real-world and real-data application problems show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. The number of real-data applications has significantly increased. Roughly 30 percent of the applications have been contributed by actual students based on scenario they have encountered in their home or work lives.

Math in the Media

New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on a brief clip, illustration, or information from familiar media sources—either online or print. The exercises may ask students to interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their responses.

Putting Your Skills to Work Applications

This highly successful feature has been revised in the fifth edition. There are 10 new Putting Your Skills to Work applications in the new edition. These nonroutine application problems challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each problem is specifically arranged for independent and cooperative learning or group investigation of mathematical problems that pique student interest. Students are given the opportunity to help one another discover mathematical solutions to extended problems. The investigations feature open-ended questions and extrapolation of data to areas beyond what is normally covered in such a course.

Internet Connections

As an integral part of each Putting Your Skills to Work problem, students are exposed to an interesting application of the Internet and encouraged to continue their investigations. This use of technology inspires students to have confidence in their abilities to successfully use mathematics. In the fifth edition, the Internet Connections have been completely revised and updated.

The companion Web site (http://www.prenhall.com/tobey_beginning) now features annotated links to help students navigate the sites more efficiently and to provide a more user-friendly experience.

Increased Integration and Emphasis on Geometry

Due to the emphasis on geometry on many statewide exams, geometry problems are integrated throughout the text. The new edition contains over approximately 35 percent more geometry problems. Additionally, examples and exercises that incorporate a principle of geometry are now marked with a triangle icon for easy identification.

Blueprint for Problem Solving

The successful Mathematics Blueprint for Problem Solving strengthens problem-solving skills by providing a consistent and interactive outline to help students organize their approach to problem solving. Once students fill in the blueprint, they can refer back to their plan as they do what is needed to solve the problem. Because of its flexibility, this feature can be used with single-step problems, multistep problems, applications, and nonroutine problems that require problem-solving strategies. Students will not need to use the blueprint to solve every problem. It is available for those faced with a problem with which they are not familiar, to alleviate anxiety, to show them where to begin, and to assist them in the steps of reasoning.

Developing Your Study Skills

This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.

Graphs, Charts, and Tables

When students encounter mathematics in real-world publications, they often encounter data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with the expanding technology of our day. The number of mathematical problems based on charts, graphs, and tables has been significantly increased in this edition. Students are asked to make simple interpretations, to solve medium-level problems, and to investigate challenging applied problems based on the data shown in a chart, graph, or table.

New Design

The fifth edition has a new design that enhances the accessible, student-friendly writing style. This new design includes new chapter opening applications and an improved and enhanced art program. See the walkthrough of features in the preface.

Mastering Mathematical Concepts

Text features that develop the mastery of concepts include the following:

Learning Objectives

Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.

Examples and Exercises

The examples and exercises in this text have been carefully chosen to guide students through Beginning Algebra. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.

Chapter Pretests

Each chapter opens with a concise pretest to familiarize the students with the learning objectives for that particular chapter. The problems are keyed to appropriate sections of the chapter. All answers appear in the back of the book.

Practice Problems

Practice problems are found throughout the chapter, after the examples, and are designed to provide your students with immediate practice of the skills presented. The complete worked-out solution of each practice problem appears in the back of the book.

To Think About

These critical thinking questions follow some of the examples in the text and also appear in the exercise sets. They extend the concept being taught, providing the opportunity for all students to stretch their minds, to look for patterns, and to make conclusions based on their previous experience. The new edition includes an increased number of these problems.

Exercise Sets

Exercise sets are paired and graded. This design helps ease the students into the problems, and the answers provide students with immediate feedback.

Cumulative Review Problems

Each exercise set concludes with a section of cumulative review problems. These problems review topics previously covered and are designed to assist students in retaining the material. Many additional applied problems have been added to the cumulative review sections.

Graphing and Scientific Calculator Problems

Calculator boxes are placed in the margin of the text to alert students to a scientific or graphing calculator application. In the exercise section, icons indicate problems that are designed for solving with a graphing or scientific calculator.

Reviewing Mathematical Concepts

At the end of each chapter we have included problems and tests to provide students with several different formats to help them review and reinforce the ideas that they have learned. This not only assists them with this chapter, it reviews previously covered topics as well.

Chapter Organizers

The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in a unique chapter organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods, but provides a completely worked-out example for each type of problem. Students find that preparing a similar chapter organizer on their own in higher-level math courses becomes an invaluable way to master the content of a chapter of material.

Verbal and Writing Skills

These exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms.

Chapter Review Problems

These problems are grouped by section as a quick refresher at the end of the chapter. These problems can also be used by the student as a quiz of the chapter material.

Tests

Found at the end of the chapter, the chapter test is a representative review of the material from that particular chapter that simulates an actual testing format. This provides the students with a gauge to their preparedness for the actual examination.

Cumulative Tests

At the end of each chapter is a cumulative test. One-half of the content of each cumulative test is based on the math skills learned in previous chapters. By completing these tests for each chapter, the students build confidence that they have mastered not only the contents of the present chapter but the contents of the previous chapters as well.

Additional Content Changes in the Fifth Edition

  • Throughout the text, explanations, definitions, and procedures have been carefully revised for greater clarity and precision.
  • In Chapter 1, the section on order of operations has been moved to Section 1.5 so that all of the material on operations with real numbers is now covered together before the introduction to algebra.
  • The discussion of solving linear equations in Chapter 2 now includes coverage of equations with no solution and equations with infinitely many solutions.
  • Section 4.3 now offers a more thorough introduction to polynomials with the addition of new terminology at the beginning of the section and a new lesson on evaluating polynomials at the end.

Expanded and Enhanced Supplements Resource Package

The fifth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include the MathPro 4.0 Explorer tutorial software together with a unique video clip feature, MathPro 5—the new online version of the popular tutorial program—providing online access anytime/anywhere and enhanced course management; a new computerized testing system-TestGenEQ with QuizMaster-EQ; all new lecture videos; lecture videos digitized on CDROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements and descriptions.

Options for Online and Distance Learning

For maximum convenience, Prentice Hall offers online interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text, Beginning Algebra, Fifth Edition.

Companion Web Site

Visit http://www.prenhall.com/tobey_beginning
The companion Web site includes basic distance learning access to provide links to the text's Internet Connections activities. For the fifth edition the Internet Connections activities have been completely revised and updated. The Web site now features annotated links to facilitate student navigation of the sites associated with the exercises. Links to additional sites are also included.

This text-specific site offers students an online study guide via online self-quizzes. Questions are graded and students can e-mail their results. Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.

WebCT

Visit http://www.prenhall.com/demo
WebCT includes distance learning access to content found in the Tobey/Slates companion Web site plus more. WebCT provides tools to create, manage, and use online course materials. Save time and take advantage of items such as online help, communication tools, and access to instructor and student manuals. Your college may already have WebCT software installed on its server or you may choose to download it. Contact your local Prentice Hall sales representative for details.

BlackBoard

Visit http://www.prenhall.com/demo
For distance learning access to content and features from the Tobey/Slates companion Web site plus more. BlackBoard provides simple templates and tools to create, manage, and use online course materials. Take advantage of items such. as online help, course management tools, communication tools, and access to instructor and student manuals. Contact your local Prentice Hall sales representative for details.

CourseCompass™ powered by BlackBoard

Visit http://www.prenhall.com/demo
For distance learning access to content and features from the Tobey/Slates companion Web site plus more. Prentice Hall content is preloaded in a customized version of BlackBoard 5. CourseCompass™ provides all of BlackBoard 5's powerful course management tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.

Supplements for the Instructor

Printed Resources

  • Annotated Instructor's Edition (ISBN: 0-13-090953-X)
  • Complete student text.
  • Answers appear in place on the same text page as exercises.
  • Teaching Tips placed in the margin at key points where students historically need extra help.
  • Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final.
  • Instructor's Solutions Manual (ISBN: 0-13-092423-7)
  • Detailed step-by-step solutions to the even-numbered exercises.
  • Solutions to every exercise (odd and even) in the diagnostic pretest, pretests, review problems, tests, cumulative tests, and practice final.
  • Solution methods reflect those emphasized in the text.
  • Instructor's Resource Manual with Tests (ISBN: 0-13-092424-5)
  • Nine test forms per chapter—6 free response, 3 multiple choice. Two of the free-response tests are cumulative in nature.
  • Four forms of final examination.
  • Answers to all items.

Media Resources

  • New TestGen-EQ with QuizMaster-EQ (Windows/Macintosh) (ISBN: 0-13-092524-1)
  • Algorithmically driven, text-specific testing program.
  • Networkable for administering tests and capturing grades online.
  • The built-in Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
  • Use the Function Plotter to create graphs.
  • Side-by-side "Testbank" window and "Test" window show your test as you build it and as it will be printed.
  • Extensive symbol palettes and expression templates assist professors in writing questions that include specialized tables and notation.
  • Tests can be easily exported to HTML so they can be posted to the Web for student practice.
  • QuizMaster-EQ tests can be used for practice and graded tests. Instructors can set preferences to determine test availability, time limits, and number of tries.
  • QuizMaster-EQ provides detailed exam reports for individual students, classes, or the course.
  • New MathPro Explorer 4.0
    Network Version for Windows/Macintosh (ISBN 0-13-092518-7)
  • Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter, or a test of random items.
  • Includes an e-mail function for network users, enabling instructors to send a message to a specific student or an entire group.
  • Network-based reports and summaries for a class or student and for cumulative or selected scores are available.
  • New MathPro 5 Anytime. Anywhere. With Assessment.
  • The popular MathPro tutorial software available over the Internet.
  • Online tutorial access-anytime/anywhere.
  • Enhanced course management tools.
  • Companion Web Site
    Visit http://www.prenhall.com/tobey_beginning
  • Internet Connections activities have been completely revised and updated. Annotated links facilitate student navigation of the sites associated with the Internet Connections exercises.
  • Additional links provided to sites of interest or resources.
  • Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results.
  • Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.

Supplements for Students

Printed Resources

  • Student Solutions Manual (ISBN: 0-13-092417-2)
  • Solutions to all odd-numbered exercises.
  • Solutions to every (odd and even) exercise found in pretests, chapter tests, reviews, and cumulative reviews.
  • Solution methods reflect those emphasized in the textbook.
  • Ask your bookstore about ordering.

Media Resources

  • New MathPro Explorer 4.0 CD-ROM (Student version: 0-13-092519-5)
  • Keyed to each section of the text for text-specific tutorial exercises and instruction.
  • Warm-up exercises and graded practice problems.
  • Video clips, providing a problem similar to the one being attempted, explained and worked out on the board.
  • Algorithmically generated exercises; includes bookmark, online help, glossary, and summary of scores for the exercises tried.
  • Explorations enable students to explore concepts associated with each objective in more detail.
  • New MathPro 5 Anytime. Anywhere. With Assessment.
  • The popular MathPro tutorial software available over the Internet.
  • Online tutorial access-anytime/anywhere.
  • New Lecture Videos (ISBN: 0-13-092522-5)
  • All-new videotapes accompany the fifth edition.
  • Keyed to each section of the text.
  • Key concepts are explained step-by-step.
  • New Digitized Lecture Videos .on CD-ROM (ISBN: 0-13-092523-3)
  • The entire set of Beginning Algebra, Fifth Edition lecture videotapes in digital form.
  • Convenient access anytime to video tutorial support from a computer at home or on campus.
  • Available shrink-wrapped with the text or stand-alone.
  • New Prentice Hall Tutor Center
  • Staffed with developmental math instructors and open 5 days a week, 7 hours per day. Obtain help for examples and exercises in Tobey/Slater, Beginning Algebra, Fifth Edition via toll-free telephone, fax, or e-mail.
  • The Prentice Hall Tutor Center is accessed through a registration number than may be bundled with a new text or purchased separately with a used book.
  • Contact your Prentice Hall sales representative for details, or visit http://www.prenhall.com/tutorcenter.
  • Companion Web Site Visit
    http://www.prenhall.com/tobey_beginning
  • Internet Connections activities have been completely revised and updated. Annotated links facilitate navigation of the sites associated with the Internet Connections exercises.
  • Additional links provided to sites of interest or resources.
  • Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results to the instructor.

Additional Printed Material

Have your instructor contact the local Prentice Hall sales representative about the following resources:

  • How to Study Mathematics
  • Math on the Internet: A Student's Guide
  • Prentice Hall/New York Times, Theme of the Times Newspaper Supplement

To the Student

This book was v4jtten with your needs and interests in mind. The original manuscript and the, first four editions of this book have been class-tested with students all across the country. Based on the suggestions of many students, the book has been refined and improved to maximize your learning while using this text.

We realize that students who enter college have sometimes never enjoyed math or never done well in a math course. You may find, that you are anxious about taking this course. We want you to know that this book has been written to help you overcome those difficulties. Literally thousands of students across the country have found an amazing ability to learn math as they have used previous editions of this book. We have incorporated several learning tools and various types of exercises and examples to assist you in learning this material.

It helps to know that learning mathematics is going to help you in life. Perhaps you have entered this course feeling that little or no mathematics will be necessary for you in your future job. However, elementary school teachers, bus drivers, laboratory technicians, nurses, telephone operators, cable TV repair personnel, photographers, pharmacists, salespeople, doctors, architects, inspectors, counselors, and custodians who once believed that they needed little if any mathematics are finding that the mathematical skills presented in this course can help them. Mathematics, you will find, can help you too. In this book, a great number of examples and problems come from everyday life. You will be amazed at the number of ways mathematics is used in the world each day.

Our greatest wish is that you will find success and personal satisfaction in your mathematics course. We have written this book to help you accomplish that very goal.

Suggestions for Students

  1. 1. Be sure to take the time to read the boxes marked Developing Your Study Skills. These ideas come from faculty and students throughout the United States. They have found ways to succeed in mathematics and they want to share those ideas with you.
  2. Read through each section of the book that is assigned by your instructor. You will be amazed at how much information you will learn as you read. It will "fill in the pieces" of mathematical knowledge. Reading a math book is a key part of learning.
  3. Study carefully each sample example. Then work out the related practice problem. Direct involvement in doing problems and not just thinking about them is one of the greatest guarantees of success in this course.
  4. Work out all assigned homework problems. Verify your answers in the back of the book. Ask questions when you don't understand or when you are not sure of an answer.
  5. Be sure to take advantage of end-of-chapter helps. Study the chapter organizers. Do the chapter review problems and the practice test problems.
  6. If you need help, remember that teachers and tutors can assist you. There is a Student Solutions Manual for this textbook that you will find most valuable. This manual shows worked-out solutions for all the odd-numbered exercises as well as diagnostic pretest, chapter review, chapter test, and cumulative test problems in this book. (If your college bookstore does not carry the Student Solutions Manual, ask them to order a copy for you. ISBN 0-13092417-2)
  7. Watch the videotapes or digitized videos on CD-ROM. Every section of this text is explained in detail on videotape. The work is solved using the same 4thods as explained in the text.
  8. Use MathPro Explorer 4.0, a tutorial software package that allows you to be tutored in any section in the book. It allows you to test yourself on your mastery of any section of any chapter of the text. Practice problem solving using the resources available to you.
  9. Remember, learning mathematics takes time. However, the time spent is well worth the effort. Take the time to study, do homework, review, ask questions, and just reflect over what you have learned. The time you invest in learning mathematics will reap dividends in your future courses and your future life.

We encourage you to look over your textbook carefully. Many important features have been designed into the book to make learning mathematics a more enjoyable activity. There are some special features, unique to this textbook, that students throughout the country have told us that they found especially helpful.

Four Key Textbook Features to Help You

  1. Practice problems with worked-out solutions. Immediately following every sample example is a similar problem called the practice problem. If you can work it out correctly by following the sample example as a general point of reference, then you will likely be able to do the homework exercises. If you encounter some difficulty, then you will find helpful the completely worked-out solutions to the practice problems that appear at the end of the text.
  2. Student-friendly application problems. You will find in every chapter of this book application problems that are realistic and interesting. Many of the problems were actually written or suggested by students. As you develop your problem-solving and reasoning skills in this course, you will encounter a number of real-world situations that help you see how very helpful mathematical skills are in today's complex world.
  3. Putting Your Skills to Work problems. In each chapter are unique problem sets that ask you to analyze in depth some mathematical aspect of daily life. You will be asked to extend your knowledge, do some creative thinking, and to work in small groups in a cooperative learning situation. You will even have a chance to explore some Web sites and see how the Internet can assist you in learning. These sections will awaken some new interests and help you to develop the critical thinking skills so necessary both in college and after you graduate.
  4. The Chapter Organizer. Everything you need to learn in any one chapter of this book is readily available at your fingertips in the chapter organizer. This very popular chart summarizes all methods covered in the chapter, gives page references, and shows a sample example completely worked out for every major topic covered. Students have found this tool a most helpful way to master the content of any chapter of the book.
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Introduction

To the Instructor

We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping students—and we are confident that you share these joys with us.

Mathematics instructors and students face many challenges today. Beginning Algebra was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given to problem solving in the fifth edition. This text is written to help students organize the information in any problem-solving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.

One of the hallmark characteristics of Beginning Algebra that makes the text easy to learn and teach from is the building-block organization. Each section is written to stand on its own, and each homework set is completely self-testing. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats-including lecture-based classes; discussion-oriented classes; distance learning centers; modular, self-paced courses; mathematics laboratories; and computer-supported centers.

Beginning Algebra is part of a series that includes the following:

  Tobey/Slater, 
Basic College Mathematics, Fourth Edition
Blair/Tobey/Slater, Prealgebra, Second Edition
Tobey/Slater, Beginning Algebra, Fifth Edition
Tobey/Slater, Intermediate Algebra, Fourth Edition
Tobey/Slater, Beginning and Intermediate Algebra

We have visited and listened to teachers across the country and have incorporated a number of suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and changes in the fifth edition.

Key Features and Changes in the Fifth Edition

Developing Problem-Solving Abilities

We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problem-solving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of real-life and real-data applications. Unique problems have been developed and incorporated into the exercise sets that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making.

More Applied Problems

The exercises and applications have been extensively revised. Numerous real-world and real-data application problems show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. The number of real-data applications has significantly increased. Roughly 30 percent of the applications have been contributed by actual students based on scenario they have encountered in their home or work lives.

Math in the Media

New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on a brief clip, illustration, or information from familiar media sources—either online or print. The exercises may ask students to interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their responses.

Putting Your Skills to Work Applications

This highly successful feature has been revised in the fifth edition. There are 10 new Putting Your Skills to Work applications in the new edition. These nonroutine application problems challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each problem is specifically arranged for independent and cooperative learning or group investigation of mathematical problems that pique student interest. Students are given the opportunity to help one another discover mathematical solutions to extended problems. The investigations feature open-ended questions and extrapolation of data to areas beyond what is normally covered in such a course.

Internet Connections

As an integral part of each Putting Your Skills to Work problem, students are exposed to an interesting application of the Internet and encouraged to continue their investigations. This use of technology inspires students to have confidence in their abilities to successfully use mathematics. In the fifth edition, the Internet Connections have been completely revised and updated.

The companion Web site (http://www.prenhall.com/tobey_beginning) now features annotated links to help students navigate the sites more efficiently and to provide a more user-friendly experience.

Increased Integration and Emphasis on Geometry

Due to the emphasis on geometry on many statewide exams, geometry problems are integrated throughout the text. The new edition contains over approximately 35 percent more geometry problems. Additionally, examples and exercises that incorporate a principle of geometry are now marked with a triangle icon for easy identification.

Blueprint for Problem Solving

The successful Mathematics Blueprint for Problem Solving strengthens problem-solving skills by providing a consistent and interactive outline to help students organize their approach to problem solving. Once students fill in the blueprint, they can refer back to their plan as they do what is needed to solve the problem. Because of its flexibility, this feature can be used with single-step problems, multistep problems, applications, and nonroutine problems that require problem-solving strategies. Students will not need to use the blueprint to solve every problem. It is available for those faced with a problem with which they are not familiar, to alleviate anxiety, to show them where to begin, and to assist them in the steps of reasoning.

Developing Your Study Skills

This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.

Graphs, Charts, and Tables

When students encounter mathematics in real-world publications, they often encounter data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with the expanding technology of our day. The number of mathematical problems based on charts, graphs, and tables has been significantly increased in this edition. Students are asked to make simple interpretations, to solve medium-level problems, and to investigate challenging applied problems based on the data shown in a chart, graph, or table.

New Design

The fifth edition has a new design that enhances the accessible, student-friendly writing style. This new design includes new chapter opening applications and an improved and enhanced art program. See the walkthrough of features in the preface.

Mastering Mathematical Concepts

Text features that develop the mastery of concepts include the following:

Learning Objectives

Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.

Examples and Exercises

The examples and exercises in this text have been carefully chosen to guide students through Beginning Algebra. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.

Chapter Pretests

Each chapter opens with a concise pretest to familiarize the students with the learning objectives for that particular chapter. The problems are keyed to appropriate sections of the chapter. All answers appear in the back of the book.

Practice Problems

Practice problems are found throughout the chapter, after the examples, and are designed to provide your students with immediate practice of the skills presented. The complete worked-out solution of each practice problem appears in the back of the book.

To Think About

These critical thinking questions follow some of the examples in the text and also appear in the exercise sets. They extend the concept being taught, providing the opportunity for all students to stretch their minds, to look for patterns, and to make conclusions based on their previous experience. The new edition includes an increased number of these problems.

Exercise Sets

Exercise sets are paired and graded. This design helps ease the students into the problems, and the answers provide students with immediate feedback.

Cumulative Review Problems

Each exercise set concludes with a section of cumulative review problems. These problems review topics previously covered and are designed to assist students in retaining the material. Many additional applied problems have been added to the cumulative review sections.

Graphing and Scientific Calculator Problems

Calculator boxes are placed in the margin of the text to alert students to a scientific or graphing calculator application. In the exercise section, icons indicate problems that are designed for solving with a graphing or scientific calculator.

Reviewing Mathematical Concepts

At the end of each chapter we have included problems and tests to provide students with several different formats to help them review and reinforce the ideas that they have learned. This not only assists them with this chapter, it reviews previously covered topics as well.

Chapter Organizers

The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in a unique chapter organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods, but provides a completely worked-out example for each type of problem. Students find that preparing a similar chapter organizer on their own in higher-level math courses becomes an invaluable way to master the content of a chapter of material.

Verbal and Writing Skills

These exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms.

Chapter Review Problems

These problems are grouped by section as a quick refresher at the end of the chapter. These problems can also be used by the student as a quiz of the chapter material.

Tests

Found at the end of the chapter, the chapter test is a representative review of the material from that particular chapter that simulates an actual testing format. This provides the students with a gauge to their preparedness for the actual examination.

Cumulative Tests

At the end of each chapter is a cumulative test. One-half of the content of each cumulative test is based on the math skills learned in previous chapters. By completing these tests for each chapter, the students build confidence that they have mastered not only the contents of the present chapter but the contents of the previous chapters as well.

Additional Content Changes in the Fifth Edition

  • Throughout the text, explanations, definitions, and procedures have been carefully revised for greater clarity and precision.
  • In Chapter 1, the section on order of operations has been moved to Section 1.5 so that all of the material on operations with real numbers is now covered together before the introduction to algebra.
  • The discussion of solving linear equations in Chapter 2 now includes coverage of equations with no solution and equations with infinitely many solutions.
  • Section 4.3 now offers a more thorough introduction to polynomials with the addition of new terminology at the beginning of the section and a new lesson on evaluating polynomials at the end.

Expanded and Enhanced Supplements Resource Package

The fifth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include the MathPro 4.0 Explorer tutorial software together with a unique video clip feature, MathPro 5—the new online version of the popular tutorial program—providing online access anytime/anywhere and enhanced course management; a new computerized testing system-TestGenEQ with QuizMaster-EQ; all new lecture videos; lecture videos digitized on CDROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements and descriptions.

Options for Online and Distance Learning

For maximum convenience, Prentice Hall offers online interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text, Beginning Algebra, Fifth Edition.

Companion Web Site

Visit http://www.prenhall.com/tobey_beginning
The companion Web site includes basic distance learning access to provide links to the text's Internet Connections activities. For the fifth edition the Internet Connections activities have been completely revised and updated. The Web site now features annotated links to facilitate student navigation of the sites associated with the exercises. Links to additional sites are also included.

This text-specific site offers students an online study guide via online self-quizzes. Questions are graded and students can e-mail their results. Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.

WebCT

Visit http://www.prenhall.com/demo
WebCT includes distance learning access to content found in the Tobey/Slates companion Web site plus more. WebCT provides tools to create, manage, and use online course materials. Save time and take advantage of items such as online help, communication tools, and access to instructor and student manuals. Your college may already have WebCT software installed on its server or you may choose to download it. Contact your local Prentice Hall sales representative for details.

BlackBoard

Visit http://www.prenhall.com/demo
For distance learning access to content and features from the Tobey/Slates companion Web site plus more. BlackBoard provides simple templates and tools to create, manage, and use online course materials. Take advantage of items such. as online help, course management tools, communication tools, and access to instructor and student manuals. Contact your local Prentice Hall sales representative for details.

CourseCompass™ powered by BlackBoard

Visit http://www.prenhall.com/demo
For distance learning access to content and features from the Tobey/Slates companion Web site plus more. Prentice Hall content is preloaded in a customized version of BlackBoard 5. CourseCompass™ provides all of BlackBoard 5's powerful course management tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.

Supplements for the Instructor

Printed Resources

  • Annotated Instructor's Edition (ISBN: 0-13-090953-X)
  • Complete student text.
  • Answers appear in place on the same text page as exercises.
  • Teaching Tips placed in the margin at key points where students historically need extra help.
  • Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final.
  • Instructor's Solutions Manual (ISBN: 0-13-092423-7)
  • Detailed step-by-step solutions to the even-numbered exercises.
  • Solutions to every exercise (odd and even) in the diagnostic pretest, pretests, review problems, tests, cumulative tests, and practice final.
  • Solution methods reflect those emphasized in the text.
  • Instructor's Resource Manual with Tests (ISBN: 0-13-092424-5)
  • Nine test forms per chapter—6 free response, 3 multiple choice. Two of the free-response tests are cumulative in nature.
  • Four forms of final examination.
  • Answers to all items.

Media Resources

  • New TestGen-EQ with QuizMaster-EQ (Windows/Macintosh) (ISBN: 0-13-092524-1)
  • Algorithmically driven, text-specific testing program.
  • Networkable for administering tests and capturing grades online.
  • The built-in Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
  • Use the Function Plotter to create graphs.
  • Side-by-side "Testbank" window and "Test" window show your test as you build it and as it will be printed.
  • Extensive symbol palettes and expression templates assist professors in writing questions that include specialized tables and notation.
  • Tests can be easily exported to HTML so they can be posted to the Web for student practice.
  • QuizMaster-EQ tests can be used for practice and graded tests. Instructors can set preferences to determine test availability, time limits, and number of tries.
  • QuizMaster-EQ provides detailed exam reports for individual students, classes, or the course.
  • New MathPro Explorer 4.0
    Network Version for Windows/Macintosh (ISBN 0-13-092518-7)
  • Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter, or a test of random items.
  • Includes an e-mail function for network users, enabling instructors to send a message to a specific student or an entire group.
  • Network-based reports and summaries for a class or student and for cumulative or selected scores are available.
  • New MathPro 5 Anytime. Anywhere. With Assessment.
  • The popular MathPro tutorial software available over the Internet.
  • Online tutorial access-anytime/anywhere.
  • Enhanced course management tools.
  • Companion Web Site
    Visit http://www.prenhall.com/tobey_beginning
  • Internet Connections activities have been completely revised and updated. Annotated links facilitate student navigation of the sites associated with the Internet Connections exercises.
  • Additional links provided to sites of interest or resources.
  • Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results.
  • Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.

Supplements for Students

Printed Resources

  • Student Solutions Manual (ISBN: 0-13-092417-2)
  • Solutions to all odd-numbered exercises.
  • Solutions to every (odd and even) exercise found in pretests, chapter tests, reviews, and cumulative reviews.
  • Solution methods reflect those emphasized in the textbook.
  • Ask your bookstore about ordering.

Media Resources

  • New MathPro Explorer 4.0 CD-ROM (Student version: 0-13-092519-5)
  • Keyed to each section of the text for text-specific tutorial exercises and instruction.
  • Warm-up exercises and graded practice problems.
  • Video clips, providing a problem similar to the one being attempted, explained and worked out on the board.
  • Algorithmically generated exercises; includes bookmark, online help, glossary, and summary of scores for the exercises tried.
  • Explorations enable students to explore concepts associated with each objective in more detail.
  • New MathPro 5 Anytime. Anywhere. With Assessment.
  • The popular MathPro tutorial software available over the Internet.
  • Online tutorial access-anytime/anywhere.
  • New Lecture Videos (ISBN: 0-13-092522-5)
  • All-new videotapes accompany the fifth edition.
  • Keyed to each section of the text.
  • Key concepts are explained step-by-step.
  • New Digitized Lecture Videos .on CD-ROM (ISBN: 0-13-092523-3)
  • The entire set of Beginning Algebra, Fifth Edition lecture videotapes in digital form.
  • Convenient access anytime to video tutorial support from a computer at home or on campus.
  • Available shrink-wrapped with the text or stand-alone.
  • New Prentice Hall Tutor Center
  • Staffed with developmental math instructors and open 5 days a week, 7 hours per day. Obtain help for examples and exercises in Tobey/Slater, Beginning Algebra, Fifth Edition via toll-free telephone, fax, or e-mail.
  • The Prentice Hall Tutor Center is accessed through a registration number than may be bundled with a new text or purchased separately with a used book.
  • Contact your Prentice Hall sales representative for details, or visit http://www.prenhall.com/tutorcenter.
  • Companion Web Site Visit
    http://www.prenhall.com/tobey_beginning
  • Internet Connections activities have been completely revised and updated. Annotated links facilitate navigation of the sites associated with the Internet Connections exercises.
  • Additional links provided to sites of interest or resources.
  • Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results to the instructor.

Additional Printed Material

Have your instructor contact the local Prentice Hall sales representative about the following resources:

  • How to Study Mathematics
  • Math on the Internet: A Student's Guide
  • Prentice Hall/New York Times, Theme of the Times Newspaper Supplement

To the Student

This book was v4jtten with your needs and interests in mind. The original manuscript and the, first four editions of this book have been class-tested with students all across the country. Based on the suggestions of many students, the book has been refined and improved to maximize your learning while using this text.

We realize that students who enter college have sometimes never enjoyed math or never done well in a math course. You may find, that you are anxious about taking this course. We want you to know that this book has been written to help you overcome those difficulties. Literally thousands of students across the country have found an amazing ability to learn math as they have used previous editions of this book. We have incorporated several learning tools and various types of exercises and examples to assist you in learning this material.

It helps to know that learning mathematics is going to help you in life. Perhaps you have entered this course feeling that little or no mathematics will be necessary for you in your future job. However, elementary school teachers, bus drivers, laboratory technicians, nurses, telephone operators, cable TV repair personnel, photographers, pharmacists, salespeople, doctors, architects, inspectors, counselors, and custodians who once believed that they needed little if any mathematics are finding that the mathematical skills presented in this course can help them. Mathematics, you will find, can help you too. In this book, a great number of examples and problems come from everyday life. You will be amazed at the number of ways mathematics is used in the world each day.

Our greatest wish is that you will find success and personal satisfaction in your mathematics course. We have written this book to help you accomplish that very goal.

Suggestions for Students

  1. 1. Be sure to take the time to read the boxes marked Developing Your Study Skills. These ideas come from faculty and students throughout the United States. They have found ways to succeed in mathematics and they want to share those ideas with you.
  2. Read through each section of the book that is assigned by your instructor. You will be amazed at how much information you will learn as you read. It will "fill in the pieces" of mathematical knowledge. Reading a math book is a key part of learning.
  3. Study carefully each sample example. Then work out the related practice problem. Direct involvement in doing problems and not just thinking about them is one of the greatest guarantees of success in this course.
  4. Work out all assigned homework problems. Verify your answers in the back of the book. Ask questions when you don't understand or when you are not sure of an answer.
  5. Be sure to take advantage of end-of-chapter helps. Study the chapter organizers. Do the chapter review problems and the practice test problems.
  6. If you need help, remember that teachers and tutors can assist you. There is a Student Solutions Manual for this textbook that you will find most valuable. This manual shows worked-out solutions for all the odd-numbered exercises as well as diagnostic pretest, chapter review, chapter test, and cumulative test problems in this book. (If your college bookstore does not carry the Student Solutions Manual, ask them to order a copy for you. ISBN 0-13092417-2)
  7. Watch the videotapes or digitized videos on CD-ROM. Every section of this text is explained in detail on videotape. The work is solved using the same 4thods as explained in the text.
  8. Use MathPro Explorer 4.0, a tutorial software package that allows you to be tutored in any section in the book. It allows you to test yourself on your mastery of any section of any chapter of the text. Practice problem solving using the resources available to you.
  9. Remember, learning mathematics takes time. However, the time spent is well worth the effort. Take the time to study, do homework, review, ask questions, and just reflect over what you have learned. The time you invest in learning mathematics will reap dividends in your future courses and your future life.

We encourage you to look over your textbook carefully. Many important features have been designed into the book to make learning mathematics a more enjoyable activity. There are some special features, unique to this textbook, that students throughout the country have told us that they found especially helpful.

Four Key Textbook Features to Help You

  1. Practice problems with worked-out solutions. Immediately following every sample example is a similar problem called the practice problem. If you can work it out correctly by following the sample example as a general point of reference, then you will likely be able to do the homework exercises. If you encounter some difficulty, then you will find helpful the completely worked-out solutions to the practice problems that appear at the end of the text.
  2. Student-friendly application problems. You will find in every chapter of this book application problems that are realistic and interesting. Many of the problems were actually written or suggested by students. As you develop your problem-solving and reasoning skills in this course, you will encounter a number of real-world situations that help you see how very helpful mathematical skills are in today's complex world.
  3. Putting Your Skills to Work problems. In each chapter are unique problem sets that ask you to analyze in depth some mathematical aspect of daily life. You will be asked to extend your knowledge, do some creative thinking, and to work in small groups in a cooperative learning situation. You will even have a chance to explore some Web sites and see how the Internet can assist you in learning. These sections will awaken some new interests and help you to develop the critical thinking skills so necessary both in college and after you graduate.
  4. The Chapter Organizer. Everything you need to learn in any one chapter of this book is readily available at your fingertips in the chapter organizer. This very popular chart summarizes all methods covered in the chapter, gives page references, and shows a sample example completely worked out for every major topic covered. Students have found this tool a most helpful way to master the content of any chapter of the book.
Read More Show Less

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