Chapter 1. Review of Real Numbers
1.1 Introduction to Real Numbers
1.2 Operations on Rational Numbers
1.3 Variable Expressions
1.4 Verbal Expressions and Variable Expressions

Chapter 2. First Degree Equations and Inequalities
2.1 Equations in One Variable
2.2 Coin, Stamp, and Integer Problems
2.3 Value Mixture and Motion Problems
2.4 Applications: Problems Involving Percent
2.5 Inequalities in One Variable
2.6 Absolute Value Equations and Inequalities

Chapter 3. Linear Functions and Inequalities in Two Variables
3.1 The Rectangular Coordinate System
3.2 Introduction to Functions
3.3 Linear Functions
3.4 Slope of a Straight Line
3.5 Finding Equations of Lines
3.6 Parallel and Perpendicular Lines
3.7 Inequalities in Two Variables

Chapter 4. Systems of Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
4.2 Solving Systems of Linear Equations by the Addition Method
4.3 Solving Systems of Equations by using Determinants and by using Matrices
4.4 Application Problems
4.5 Solving Systems of Linear Inequalities

Chapter 5. Polynomials and Exponents
5.1 Exponential Expressions
5.2 Introduction to Polynomials
5.3 Multiplication of Polynomials
5.4 Division of Polynomials
5.5 Factoring Polynomials
5.6 Special Factoring
5.7 Solving Equations by Factoring

Chapter 6. Rational Expression
6.1 Introduction to Rational Functions
6.2 Operations of Rational Expressions
6.3 Complex Fractions
6.4 Rational Equations
6.5 Proportions and Variations
6.6 Literal Equations

Chapter 7. Rational Exponents and Radicals
7.1 Rational Exponents and Radical Expressions
7.2 Operations on Radical Expressions
7.3 Complex Numbers
7.4 Solving Equations Containing Radical Expressions

Chapter 8. Quadratic Equations and Inequalities
8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
8.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
8.3 Equations that are Reducible to Quadratic Equations
8.4 Applications of Quadratic Equations
8.5 Nonlinear Inequalities
8.6 Properties of Quadratic Functions
8.7 Applications of Quadratic Functions

Chapter 9. Functions and Relations
9.1 Graphs of Functions
9.2 Translations of Graphs
9.3 Algebra of Functions
9.4 One-to-One and Inverse Functions

Chapter 10. Exponential and Logarithmic Functions
10.1 Exponential Functions
10.2 Introduction to Logarithms
10.3 Graphs of Logarithmic Functions
10.4 Exponential and Logarithmic Equations
10.5 Applications of Exponential and Logarithmic Functions

Chapter 11. Sequences and Series
11.1 Introduction to Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.4 Binomial Expansions

Chapter 12. Conic Sections
12.1 The Parabola
12.2 The Circle
12.3 The Ellipse and the Hyperbola
12.4 Solving Non-Linear Systems of Equations
12.5 Quadratic Inequalities and Systems of Inequalities