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Beginning & Intermediate Algebra: Pearson New International Edition PDF eBook
 
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Preface

Diagnostic Pretest

0. Prealgebra Review

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, Inequalities, and Applications

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 Translating English Phrases into Algebraic Expressions

2.6 Using Equations to Solve Word Problems

2.7 Solving Word Problems: The Value of Money and Percents

2.8 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. Graphing and Functions

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 The Slope of a Line

How Am I Doing? Sections 3.1–3.3

3.4 Writing the Equation of a Line

3.5 Graphing Linear Inequalities

3.6 Functions

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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. Systems of Linear Equations and Inequalities

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

How Am I Doing? Sections 4.1-4.2

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

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Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Math Coach

5. Exponents and Polynomials

5.1 The Rules of Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Fundamental Polynomial Operations

How Am I Doing? Sections 5.1–5.3

5.4 Multiplying Polynomials

5.5 Multiplication: Special Cases

5.6 Dividing Polynomials

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Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Math Coach

6. Factoring

6.1 Removing a Common Factor

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the Form x2 + bx + c

6.4 Factoring Trinomials of the Form ax2 + bx + c

How Am I Doing? Sections 6.1–6.4

6.5 Special Cases of Factoring

6.6 A Brief Review of Factoring

6.7 Solving Quadratic Equations by Factoring

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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. Rational Expressions and Equations

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 7.1–7.3

7.4 Simplifying Complex Rational Expressions

7.5 Solving Equations Involving Rational Expressions

7.6 Ratio, Proportion, and Other Applied Problems

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Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Math Coach

8. Rational Exponents and Radicals

8.1 Rational Exponents

8.2 Radical Expressions and Functions

8.3 Simplifying, Adding, and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 8.1—8.4

8.5 Radical Equations

8.6 Complex Numbers

8.7 Variation

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Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Math Coach

9. Quadratic Equations and Inequalities

9.1 Quadratic Equations

9.2 The Quadratic Formula and Solutions to Quadratic Equations

9.3 Equations That Can Be Transformed into Quadratic Form

How Am I Doing? Sections 9.1—9.3

9.4 Formulas and Applications

9.5 Quadratic Functions

9.6 Compound and Quadratic Inequalities in One Variable

9.7 Absolute Value Equations and Inequalities

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Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Math Coach

Cumulative Test for Chapters 0-9

10. The Conic Sections

10.1 The Distance Formula and the Circle

10.2 The Parabola

10.3 The Ellipse

How Am I Doing? Sections 10.1—10.3

10.4 The Hyperbola

10.5 Nonlinear Systems of Equations

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Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Math Coach

11. Additional Properties of Functions

11.1 Function Notation

11.2 General Graphing Procedures for Functions

How Am I Doing? Sections 11.1—11.2

11.3 Algebraic Operations on Functions

11.4 Inverse of a Function

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Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Math Coach

12. Logarithmic and Exponential Functions

12.1 The Exponential Function

12.2 The Logarithmic Function

12.3 Properties of Logarithms

How Am I Doing? Sections 12.1—12.3

12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms

12.5 Exponential and Logarithmic Equations

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Chapter 12 Organizer

Chapter 12 Review Problems

How Am I Doing? Chapter 12 Test

Math Coach

Practice Final Examination

Solutions to Practice Problems

Answers to Selected Exercises

Glossary

Applications Index (Available in MyMathLab)

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.

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