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Overview
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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 thirtyeight 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 twoyear 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.
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)
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 problemsolving 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 buildingblock organization. Each section is written to stand on its own, and each homework set is completely selftesting. 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 formatsincluding lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupported centers.
Beginning Algebra is part of a series that includes the following:
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 ProblemSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of reallife and realdata 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 realworld and realdata 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 realdata 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 openended 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 userfriendly 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 problemsolving 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 singlestep problems, multistep problems, applications, and nonroutine problems that require problemsolving 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 realworld 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 mediumlevel 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, studentfriendly 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 workedout 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 workedout example for each type of problem. Students find that preparing a similar chapter organizer on their own in higherlevel 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. Onehalf 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
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 systemTestGenEQ with QuizMasterEQ; 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 textspecific site offers students an online study guide via online selfquizzes. Questions are graded and students can email 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
Media Resources
Network Version for Windows/Macintosh (ISBN 0130925187)
Visit http://www.prenhall.com/tobey_beginning
Supplements for Students
Printed Resources
Media Resources
http://www.prenhall.com/tobey_beginning
Additional Printed Material
Have your instructor contact the local Prentice Hall sales representative about the following resources:
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 classtested 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
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
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 problemsolving 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 buildingblock organization. Each section is written to stand on its own, and each homework set is completely selftesting. 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 formatsincluding lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupported centers.
Beginning Algebra is part of a series that includes the following:
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 ProblemSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of reallife and realdata 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 realworld and realdata 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 realdata 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 openended 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 userfriendly 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 problemsolving 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 singlestep problems, multistep problems, applications, and nonroutine problems that require problemsolving 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 realworld 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 mediumlevel 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, studentfriendly 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 workedout 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 workedout example for each type of problem. Students find that preparing a similar chapter organizer on their own in higherlevel 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. Onehalf 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
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 systemTestGenEQ with QuizMasterEQ; 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 textspecific site offers students an online study guide via online selfquizzes. Questions are graded and students can email 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
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Supplements for the Instructor
Printed Resources
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Network Version for Windows/Macintosh (ISBN 0130925187)
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Supplements for Students
Printed Resources
Media Resources
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Additional Printed Material
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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 classtested 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
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