Chapter 1 The Real Number System

1.1 Real Numbers: Order and Absolute Value
1.2 Operations with Integers
1.3 Operations with Rational Numbers
1.4 Exponents, Order of Operations, and Properties of Real Numbers

Chapter 2 Fundamentals of Algebra

2.1 Writing and Evaluating Algebraic Expressions
2.2 Simplifying Algebraic Expressions
2.3 Algebra and Problem Solving
2.4 Introduction to Equations

Chapter 3 Linear Equations and Problem Solving

3.1 Solving Linear Equations
3.2 Equations that Reduce to Linear Form
3.4 Ratio and Proportion
3.5 Geometric and Scientific Applications
3.6 Linear Inequalities
3.7 Absolute Value Equations and Inequalities

Chapter 4 Graphs and Functions

4.1 Ordered Pairs and Graphs
4.2 Graphs of Equations in Two Variables
4.3 Relations, Functions, and Graphs
4.4 Slope and Graphs of Linear Equations
4.5 Equations of Lines
4.6 Graphs of Linear Inequalities

Chapter 5 Exponents and Polynomials

5.1 Adding and Subtracting Polynomials
5.2 Multiplying Polynomials: Special Products
5.3 Negative Exponents and Scientific Notation
5.4 Dividing Polynomials

Chapter 6 Factoring and Solving Equations

6.1 Factoring Polynomials with Common Factors
6.2 Factoring Trinomials
6.3 More About Factoring Trinomials
6.4 Factoring Polynomials with Special Forms
6.5 Polynomial Equations and Applications

Chapter 7 Systems of Linear Equations

7.1 Solving Systems of Equations by Graphing
7.2 Solving Systems of Equations by Substitution
7.3 Solving Systems of Equations by Elimination
7.4 Applications of Systems of Linear Equations

Chapter 8 Rational Expressions and Equations

8.1 Simplifying Rational Expressions
8.2 Multiplying and Dividing Rational Expressions
8.3 Adding and Subtracting Rational Expressions
8.4 Rational Equations and Applications

Chapter 9 Radical Expressions and Equations

9.1 Roots and Radicals
9.2 Simplifying Radicals
9.3 Operations with Radical Expressions
9.4 Radical Equations and Applications

Chapter 10 Quadratic Equations and Functions

10.1 Solution by Extracting Square Roots
10.2 Solution by Completing the Square
10.3 Solution by the Quadratic Formula
10.4 Graphing Quadratic Functions
10.5 Applications of Quadratic Equations

Appendices

Appendix A Introduction to Graphing Utilities

Appendix B Further Concepts in Geometry

B.1 Exploring Congruence and Similarity

B.2 Angles