Chapter 1 The Real Number System

1.1 Fractions

Study Skills: Reading Your Math Textbook

1.2 Exponents, Order of Operations, and Inequality

Study Skills: Taking Lecture Notes

1.3 Variables, Expressions, and Equations

1.4 Real Numbers and the Number Line

Study Skills: Tackling Your Homework

1.5 Adding and Subtracting Real Numbers

Study Skills: Using Study Cards

1.6 Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

Study Skills: Reviewing a Chapter

Chapter 2 Linear Equations and Inequalities in One Variable

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Summary Exercises on Solving Linear Equations

Study Skills: Using Study Cards Revisited

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Equations

2.8 Solving Linear Inequalities

Study Skills: Taking Math Tests

Chapter 3 Linear Equations in Two Variables

3.1 Linear Equations in Two Variables: The Rectangular Coordinate System

Study Skills: Managing Your Time

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Writing and Graphing Equations of Lines

Summary Exercises on Linear Equations and Graphs

Chapter 4 Exponents and Polynomials

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

4.3 An Application of Exponents: Scientific Notation

4.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials

4.5 Multiplying Polynomials

4.6 Special Products

4.7 Dividing Polynomials

Chapter 5 Factoring and Applications

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

Summary Exercises on Factoring

5.5 Solving Quadratic Equations by Factoring

5.6 Applications of Quadratic Equations

Chapter 6 Rational Expressions and Applications

6.1 The Fundamental Property of Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Least Common Denominators

6.4 Adding and Subtracting Rational Expressions

6.5 Complex Fractions

6.6 Solving Equations with Rational Expressions

  Summary Exercises on Rational Expressions and

  Equations

Chapter 7 Graphs, Linear Equations, and Functions

7.1 Review of Graphs and Slopes of Lines

7.2 Review of Equations of Lines; Linear Models

Summary Exercises on Slopes and Equations of Lines

7.3 Introduction to Relations and Functions

7.4 Operations and Functions of Composition

7.5 Variation

Chapter 8 Systems of Linear Equations

8.1 Solving Systems of Linear Equations by Graphing

8.2 Solving Systems of Linear Equations by Substitution

8.3 Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

8.4 Systems of Linear Equations in Three Variables

8.5 Applications of Systems of Linear Equations

8.6 Solving Systems of Linear Equations by Matrix Methods

Chapter 9 Inequalities and Absolute Val