## Table of Contents

**Chapter 1 Real Numbers and Expressions**

1.1 Sets and the Structure of Algebra

1.2 Operations with Real Numbers; Properties of Real Numbers

1.3 Exponents, Roots, and Order of Operations

1.4 Evaluating and Rewriting Expressions

**Chapter 2 Linear Equations and ****Inequalities in One Variable**

2.1 Linear Equations and Formulas

2.2 Solving Problems

2.3 Solving Linear Inequalities

2.4 Compound Inequalities

2.5 Equations Involving Absolute Value

2.6 Inequalities Involving Absolute Value

**Chapter 3 Equations and Inequalities in T****wo Variables and Functions**

3.1 Graphing Linear Equations

3.2 The Slope of a Line

3.3 The Equation of a Line

3.4 Graphing Linear Inequalities

3.5 Introduction to Functions and Function

Notation

**Chapter 4 Systems of Linear Equations and ****Inequalities**

4.1 Solving Systems of Linear Equations in

Two Variables

4.2 Solving Systems of Linear Equations in

Three Variables

4.3 Solving Applications Using Systems of

Equations

4.4 Solving Systems of Linear Equations

Using Matrices

4.5 Cramer’s Rule

4.6 Solving Systems of Linear Inequalities

**Chapter 5 Polynomials**

5.1 Exponents and Scientific Notation

5.2 Polynomials and Polynomial Functions

5.3 Multiplying Polynomials

5.4 Dividing Polynomials

5.5 Synthetic Division and the Remainder

Theorem

**Chapter 6 Factoring**

6.1 Greatest Common Factor and Factoring by

Grouping

6.2 Factoring Trinomials

6.3 Factoring Special Products and Factoring

Strategies

6.4 Solving Equations by Factoring

**Chapter 7 Rational Expressions and ****Equations**

7.1 Simplifying, Multiplying, and Dividing

Rational Expressions

7.2 Adding and Subtracting Rational

Expressions

7.3 Simplifying Complex Rational

Expressions

7.4 Solving Equations Containing Rational

Expressions

7.5 Applications with Rational Expressions;

Variation

**Chapter 8 Rational Exponents, Radicals, and Complex Numbers**

8.1 Radical Expressions and Functions

8.2 Rational Exponents

8.3 Multiplying, Dividing, and Simplifying

Radicals

8.4 Adding, Subtracting, and Multiplying

Radical Expressions

8.5 Rationalizing Numerators and

Denominators of Radical Expressions

8.6 Radical Equations and Problem Solving

8.7 Complex Numbers

**Chapter 9 Quadratic Equations**

9.1 Completing the Square

9.2 Solving Quadratic Equations Using the

Quadratic Formula

9.3 Solving Equations That Are Quadratic in

Form

9.4 Graphing Quadratic Functions

9.5 Solving Nonlinear Inequalities

**Chapter 10 Exponential and Logarithmic Functions**

10.1 Composite and Inverse Functions

10.2 Exponential Functions

10.3 Logarithmic Functions

10.4 Properties of Logarithms

10.5 Common and Natural Logarithms

10.6 Exponential and Logarithmic Equations

with Applications

**Chapter 11 Conic Sections**

11.1 The Parabola and the Circle

11.2 Ellipses and Hyperbolas

11.3 Nonlinear Systems of Equations

11.4 Nonlinear Inequalities and Systems of

Inequalities

Appendix A Arithmetic Sequences and Series

Appendix B Geometric Sequences and Series

Appendix C The Binomial Theorem

Appendix D Permutations and Combinations

Appendix E Probability

### Additional Course Materials

ISBN-13: 978-0-13-649203-0

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Intermediate Algebra, 2nd Edition

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