Beginning Algebra plus NEW MyMathLab with Pearson eText -- Access Card Package

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

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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

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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

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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

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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

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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 x2 + bx + c

5.4 Factoring Trinomials of the Form ax2 + 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

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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

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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

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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

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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

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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

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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

Students will find many opportunities to check and reinforce their understanding of concepts throughout each chapter:

• Student Practice problems are paired with every example in the text. The full solutions to each practice problem are located in the back of the text, allowing students to check their work as they go.
• The “How Am I Doing?” mid-chapter review exercises let students pause at a critical juncture to make sure they are "getting it."
• End-of-Section Exercises progress from basic to challenging, and each exercise set includes Verbal and Writing Skills, and Mixed Practice exercises.
• A Quick Quiz at the end of each exercise set contains three problems that cover the essential content of that section. This simple assessment tool measures whether students know when they are ready for new material, and when they need further review.
  • A Concept Check question at the end of each Quick Quiz asks students to explain how and why a method works in their own words, forcing students to analyze problems and reflect on the mathematical concepts.
  • Classroom Quizzes in the Annotated Instructor's Edition parallel every Quick Quiz, which allows instructors to quickly assess the understanding of the class at any point in the chapter.
• The End-of-Chapter Material provides several opportunities for review and reinforcement of key concepts:

• Updated! Chapter Organizers summarize the chapter topics, procedures, and corresponding examples all in one place to simplify chapter review. A ”You Try It” column has been added to Chapter Organizers to provide another opportunity for practice!
• NEW! Assessment Check boxes on the “How Am I Doing?” Chapter Test encourage students to check their work. If students need extra help on any test problems, they can watch the Chapter Test Prep Videos, where all test solutions are worked out on video.

• NEW! The Math Coach follows every chapter test and provides helpful hints and coaching on the most difficult concepts and exercise types in that particular chapter. Examples similar to the Math Coach problems have been noted throughout the chapter with side-by-side examples and practice problems that encourage students to try the practice problem on the spot. Students can have an office hour with the authors when they watch the authors solve these key problem types on the New Math Coach Videos.

• The Chapter Test Prep and Math Coach Videos are available in MyMathLab and on YouTube.

• Use Math to Save Money features practical, realistic examples in every chapter of how students can use math to cut costs and spend less. Topics have been updated based on a student survey of more than 1,000 developmental math colleges.

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.

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