• 1.1 Introduction to Algebra
• 1.2 The Commutative, Associative, and Distributive Laws
• 1.3 Fraction Notation
• 1.4 Positive and Negative Real Numbers
• 1.5 Addition of Real Numbers
• 1.6 Subtraction of Real Numbers
• 1.7 Multiplication and Division of Real Numbers
• 1.8 Exponential Notation and Order of Operations

• 2.1 Solving Equations
• 2.2 Using the Principles Together
• 2.3 Formulas
• 2.4 Applications with Percent
• 2.5 Problem Solving
• 2.6 Solving Inequalities
• 2.7 Solving Applications with Inequalities

• 3.1 Reading Graphs, Plotting Points, and Scaling Graphs
• 3.2 Graphing Linear Equations
• 3.3 Graphing and Intercepts
• 3.4 Rates
• 3.5 Slope
• 3.6 Slope-Intercept Form
• 3.7 Point-Slope Form

• 4.1 Exponents and Their Properties
• 4.2 Polynomials
• 4.3 Addition and Subtraction of Polynomials
• 4.4 Multiplication of Polynomials
• 4.5 Special Products
• 4.6 Polynomials in Several Variables
• 4.7 Division of Polynomials
• 4.8 Negative Exponents and Scientific Notation

• 5.1 Introduction to Factoring
• 5.2 Factoring Trinomials of the Type x2 + bx + c
• 5.3 Factoring Trinomials of the Type ax2 + bx + c
• 5.4 Factoring Perfect-Square Trinomials and Difference of Squares
• 5.5 Factoring: A General Strategy
• 5.6 Solving Quadratic Equations by Factoring
• 5.7 Solving Applications

• 6.1 Rational Expressions
• 6.2 Multiplication and Division
• 6.3 Addition, Subtraction, and Least Common Denominators
• 6.4 Addition and Subtraction with Unlike Denominators
• 6.5 Complex Rational Expressions
• 6.6 Rational Equations
• 6.7 Applications Using Rational Equations and Proportions

• 7.1 Systems of Equations and Graphing
• 7.2 Systems of Equations and Substitution
• 7.3 Systems of Equations and Elimination
• 7.4 More Applications Using Systems
• 7.5 Linear Inequalities in Two Variables
• 7.6 Systems of Linear Inequalities
• 7.7 Direct Variation and Inverse Variation

• 8.1 Introduction to Square Roots and Radical Expressions
• 8.2 Multiplying and Simplifying Radical Expressions
• 8.3 Quotients Involving Square Roots
• 8.4 Radical Expressions with Several Terms
• 8.5 Radical Equations
• 8.6 Applications Using Right Triangles
• 8.7 Higher Roots and Rational Exponents

• 9.1 Solving Quadratic Equations: The Principle of Square Roots
• 9.2 Solving Quadratic Equations: Completing the Square
• 9.3 The Quadratic Formula and Applications
• 9.4 Formulas
• 9.5 Complex Numbers as Solutions of Quadratic Equations
• 9.6 Graphs of Quadratic Functions
• 9.7 Functions

Appendix A. Factoring Sums or Differences of Cubes

Appendix B. Mean, Median, and Mode

Appendix C. Sets