• 1.1 Numbers, Variables, and Expressions
• 1.2 Fractions
• 1.3 Exponents and Order of Operations
• 1.4 Real Numbers and the Number Line
• 1.5 Addition and Subtraction of Real Numbers
• 1.6 Multiplication and Division of Real Numbers
• 1.7 Properties of Real Numbers
• 1.8 Simplifying and Writing Algebraic Expressions

• 2.1 Introduction to Equations
• 2.2 Linear Equations
• 2.3 Introduction to Problem Solving
• 2.4 Formulas
• 2.5 Unit Analysis
• 2.6 Linear Inequalities

• 3.1 Introduction to Graphing
• 3.2 Equations in Two Variables
• 3.3 Intercepts; Horizontal and Vertical Lines
• 3.4 Slope and Rates of Change
• 3.5 Slope-Intercept Form
• 3.6 Point-Slope Form
• 3.7 Introduction to Modeling

• 4.1 Solving Systems of Linear Equations Graphically and Numerically
• 4.2 Solving Systems of Linear Equations by Substitution
• 4.3 Solving Systems of Linear Equations by Elimination
• 4.4 Systems of Linear Inequalities

• 5.1 Rules for Exponents
• 5.2 Addition and Subtraction of Polynomials
• 5.3 Multiplication of Polynomials
• 5.4 Special Products
• 5.5 Integer Exponents and the Quotient Rule
• 5.6 Division of Polynomials

• 6.1 Introduction to Factoring
• 6.2 Factoring Trinomials I (x2 + bx + c)
• 6.3 Factoring Trinomials II (ax2 + bx + c)
• 6.4 Special Types of Factoring
• 6.5 Summary of Factoring
• 6.6 Solving Equations by Factoring I (Quadratics)
• 6.7 Solving Equations by Factoring II (Higher Degree)

• 7.1 Introduction to Rational Expressions
• 7.2 Multiplication and Division of Rational Expressions
• 7.3 Addition and Subtraction with Like Denominators
• 7.4 Addition and Subtraction with Unlike Denominators
• 7.5 Complex Fractions
• 7.6 Rational Equations and Formulas
• 7.7 Proportions and Variation

• 8.1 Functions and Their Representations
• 8.2 Linear Functions
• 8.3 Compound Inequalities and Piecewise-Defined Functions
• 8.4 Other Functions and Their Properties
• 8.5 Absolute Value Equations and Inequalities

• 9.1 Systems of Linear Equations in Three Variables
• 9.2 Matrix Solutions of Linear Systems
• 9.3 Determinants

• 10.1 Radical Expressions and Functions
• 10.2 Rational Exponents
• 10.3 Simplifying Radical Expressions
• 10.4 Operations on Radical Expressions
• 10.5 More Radical Functions
• 10.6 Equations Involving Radical Expressions
• 10.7 Complex Numbers

• 11.1 Quadratic Functions and Their Graphs
• 11.2 Transformations and Translations of Parabolas
• 11.3 Quadratic Equations
• 11.4 The Quadratic Formula
• 11.5 Quadratic Inequalities
• 11.6 Equations in Quadratic Form

• 12.1 Composite and Inverse Functions
• 12.2 Exponential Functions
• 12.3 Logarithmic Functions
• 12.4 Properties of Logarithms
• 12.5 Exponential and Logarithmic Equations

• 13.1 Parabolas and Circles
• 13.2 Ellipses and Hyperbolas
• 13.3 Nonlinear Systems of Equations and Inequalities

• 14.1 Sequences
• 14.2 Arithmetic and Geometric Sequences
• 14.3 Series
• 14.4 The Binomial Theorem

Appendix A. Using the Graphing Calculator

Appendix B. Sets

Appendix C. Linear Programming

Appendix D. Synthetic Division