• 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 Introduction to Functions

4.3 Linear Equations in Two Variables

4.4 Slopes of Straight Lines

4.5 Finding Equations of Lines

4.6 Parallel and Perpendicular Lines

4.7 Graphing Linear Inequalities

• Chapter 5: Systems of Linear Equations and Inequalities

5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method

5.2 Solving Systems of Linear Equations by the Addition Method

5.3 Solving Systems of Equations by Using Determinants

5.4 Application Problems in Two Variables

5.5 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 Operation on Radical Expressions

9.3 Complex Numbers

9.4 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 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