## Description

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.

## Table of Contents

Preface

Diagnostic Pretest

**1. Basic Concepts**

1.1 The Real Number System

1.2 Operations with Real Numbers

1.3 Powers, Square Roots, and the Order of Operations

How Am I Doing? Sections 1.1–1.3

1.4 Integer Exponents and Scientific Notation

1.5 Operations with Variables and Grouping Symbols

1.6 Evaluating Variable Expressions and Formulas

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Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

Math Coach

**2. Linear Equations and Inequalities**

2.1 First-Degree Equations with One Unknown

2.2 Literal Equations and Formulas

2.3 Absolute Value Equations

2.4 Using Equations to Solve Word Problems

How Am I Doing? Sections 2.1–2.4

2.5 Solving More-Involved Word Problems

2.6 Linear Inequalities

2.7 Compound Inequalities

2.8 Absolute Value Inequalities

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Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Math Coach

**3. Equations and Inequalities in Two Variables and Functions**

3.1 Graphing Linear Equations with Two Unknowns

3.2 Slope of a Line

3.3 Graphs and the Equations of a Line

How Am I Doing? Sections 3.1–3.3

3.4 Linear Inequalities in Two Variables

3.5 Concept of a Function

3.6 Graphing Functions from Equations and Tables of Data

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Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Math Coach

Cumulative Test for Chapters 1–3

**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. Polynomials**

5.1 Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying

5.2 Dividing Polynomials

5.3 Synthetic Division

5.4 Removing Common Factors; Factoring by Grouping

5.5 Factoring Trinomials

How Am I Doing? Sections 5.1–5.5

5.6 Special Cases of Factoring

5.7 Factoring a Polynomial Completely

5.8 Solving Equations and Applications Using Polynomials

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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 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Rational Expressions

How Am I Doing? Sections 6.1–6.3

6.4 Rational Equations

6.5 Applications: Formulas and Advanced Ratio Exercises

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Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Math Coach

Cumulative Test for Chapters 1–6

**7. Rational Exponents and Radicals**

7.1 Rational Exponents

7.2 Radical Expressions and Functions

7.3 Simplifying, Adding, and Subtracting Radicals

7.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 7.1–7.4

7.5 Radical Equations

7.6 Complex Numbers

7.7 Variation

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Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Math Coach

**8. Quadratic Equations and Inequalities**

8.1 Quadratic Equations

8.2 The Quadratic Formula and Solutions to Quadratic Equations

8.3 Equations That Can Be Transformed into Quadratic Form

How Am I Doing? Sections 8.1–8.3

8.4 Formulas and Applications

8.5 Quadratic Functions

8.6 Quadratic Inequalities in One Variable

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Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Math Coach

**9. The Conic Sections**

9.1 The Distance Formula and the Circle

9.2 The Parabola

9.3 The Ellipse

How Am I Doing? Sections 9.1–9.3

9.4 The Hyperbola

9.5 Nonlinear Systems of Equations

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Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Math Coach

**10. Additional Properties of Functions**

10.1 Function Notation

10.2 General Graphing Procedures for Functions

How Am I Doing? Sections 10.1–10.2

10.3 Algebraic Operations on Functions

10.4 Inverse of a Function

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Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Math Coach

**11. Logarithmic and Exponential Functions**

11.1 The Exponential Function

11.2 The Logarithmic Function

11.3 Properties of Logarithms

How Am I Doing? Sections 11.1–11.3

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

11.5 Exponential and Logarithmic Equations

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Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Math Coach

Practice Final Examination

**Appendix A: Tables**

Table A-1: Table of Square Roots

Table A-2: Table of Exponential Values

**Appendix B: Determinants and Cramer's Rule**

**Appendix C: Solving Systems of Linear Equations Using Matrices**

Solutions to Practice Problems

Answers to Selected Exercises

Glossary

Applications Index (Available in MyMathLab)

Index

Photo Credits
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John Tobey, Jeffrey Slater, Jamie Blair, Jennifer Crawford

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