Chapter 1: Real Numbers and Variable Expressions
1.1 Integers
1.2 Rational and Irrational Numbers
1.3 The Order of Operations Agreement
1.4 Variable Expressions
1.5 Sets

Chapter 2: First-Degree Equations and Inequalities
2.1 Introduction to Equations
2.2 General Equations
2.3 Mixture, Investment, and Motion Problems
2.4 Inequalities in One Variable
2.5 Absolute Value Equations and Inequalities

Chapter 3: Geometry
3.1 Introduction to Geometry
3.2 Plane Geometric Figures
3.3 Solids

Chapter 4: Linear Equations and Inequalities in Two Variables
4.1 The Rectangular Coordinate System
4.2 Linear Equations in Two Variables
4.3 Slopes of Straight Lines
4.4 Equations of Straight Lines
4.5 Parallel and Perpendicular Lines
4.6 Graphing Linear Inequalities

Chapter 5: Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by the Substitution Method
5.3 Solving Systems of Linear Equations by the Addition Method
5.4 Solving Systems of Linear Equations by Using Determinants
5.5 Application Problems in Two Variables
5.6 Solving Systems of Linear Inequalities

Chapter 6: Polynomials
6.1 Exponential Expressions
6.2 Introduction to Polynomials
6.3 Multiplication of Polynomials
6.4 Division of Polynomials

Chapter 7: Factoring
7.1 Common Factors
7.2 Factoring Polynomials of the Form x² + bx + c
7.3 Factoring Polynomials of the form ax² + bx + c
7.4 Special Factoring
7.5 Solving Equations

Chapter 8: Rational Expressions
8.1 Multiplication and division of Rational Expressions
8.2 Addition and Subtraction of Rational Expressions
8.3 Complex Fractions
8.4 Rational Equations
8.5 Literal Equations
8.6 Work and Uniform Motion Problems
8.7 Variation

Chapter 9: Rational Exponents and Radicals
9.1 Rational Exponents and Radical Expressions
9.2 Operations on Radical Expressions
9.3 Complex Numbers
9.4 Solving Equations Containing Radical Expressions

Chapter 10: Quadratic Equations
10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by using the Quadratic Formula
10.4 Solving Quadratic Equations that are Reducible to Quadratic Equations
10.5 Applications of Quadratic Equations
10.6 Quadratic Inequalities and Rational Inequalities

Chapter 11: Functions and Relations
11.1 Linear Functions
11.2 Quadratic Functions
11.3 Graphs of Functions
11.4 Algebra of Functions
11.5 One-to-One and Inverse Functions
11.6 Conic Sections

Chapter 12: Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Introduction to Logarithms
12.3 Graphs of Logarithmic Functions
12.4 Solving Exponential and Logarithmic Equations
12.5 Applications of Exponential and Logarithmic Functions