| Chapter 1 | The Real Numbers |
| 1.1 | | Sets |
| 1.2 | | The Real Numbers |
| 1.3 | | Operations on the Set of Real Numbers |
| 1.4 | | Evaluating Expressions |
| 1.5 | | Properties of the Real Numbers |
| 1.6 | | Using the Properties |
| |
| Chapter 2 | Linear Equations and Inequalities in One Variable |
| 2.1 | | Linear Equations in One Variable |
| 2.2 | | Formulas |
| 2.3 | | Applications |
| 2.4 | | Inequalities |
| 2.5 | | Compound Inequalities |
| 2.6 | | Absolute Value Equations and Inequalities |
| |
| Chapter 3 | Graphs and Functions in the Cartesian Coordinate System |
| 3.1 | | Graphing Lines in the Coordinate Plane |
| 3.2 | | Slope of a Line |
| 3.3 | | Three Forms for the Equation of a Line |
| 3.4 | | Linear Inequalities and Their Graphs |
| 3.5 | | Relations and Functions |
| 3.6 | | Graphs of Functions |
| |
| Chapter 4 | Systems of Linear Equations |
| 4.1 | | Solving Systems by Graphing and Substitution |
| 4.2 | | The Addition Method |
| 4.3 | | Systems of Linear Equations in Three Variables |
| 4.4 | | Solving Linear Systems Using Matrices |
| 4.5 | | Cramer's Rule for Systems in Two Variables |
| 4.6 | | Cramer's Rule for Systems in Three Variables |
| 4.7 | | Linear Programming |
| |
| Chapter 5 | Exponents and Polynomials |
| 5.1 | | Integral Exponents and Scientific Notation |
| 5.2 | | The Power Rules |
| 5.3 | | Addition, Subtraction, and Multiplication of Polynomials |
| 5.4 | | Multiplying Binomials |
| 5.5 | | Division of Polynomials |
| 5.6 | | Factoring Polynomials |
| 5.7 | | Factoring ax2 + bx + c |
| 5.8 | | Factoring Strategy |
| 5.9 | | Solving Equations by Factoring |
| |
| Chapter 6 | Rational Expressions |
| 6.1 | | Properties of Rational Expressions |
| 6.2 | | Multiplication and Division |
| 6.3 | | Addition and Subtraction |
| 6.4 | | Complex Fractions |
| 6.5 | | Solving Equations Involving Rational Expressions |
| 6.6 | | Applications |
| |
| Chapter 7 | Rational Exponents and Radicals |
| 7.1 | | Rational Exponents |
| 7.2 | | Radicals |
| 7.3 | | Operations with Radicals |
| 7.4 | | More Operations with Radicals |
| 7.5 | | Solving Equations with Radicals and Exponents |
| 7.6 | | Complex Numbers |
| |
| Chapter 8 | Quadratic Equations and Inequalities |
| 8.1 | | Factoring and Completing the Square |
| 8.2 | | The Quadratic Formula |
| 8.3 | | More on Quadratic Equations |
| 8.4 | | Quadratic and Rational Inequalities |
| |
| Chapter 9 | Additional Function Topics |
| 9.1 | | Combining Functions |
| 9.2 | | Inverse Functions |
| 9.3 | | Variation |
| 9.4 | | The Factor Theorem |
| |
| Chapter 10 | Polynomial and Rational Functions |
| 10.1 | | Zeros of a Polynomial Function |
| 10.2 | | The Theory of Equations |
| 10.3 | | Graphs of Polynomial Functions |
| 10.4 | | Graphs of Rational Functions |
| 10.5 | | Transformations of Graphs |
| |
| Chapter 11 | Exponential and Logarithmic Functions |
| 11.1 | | Exponential Functions |
| 11.2 | | Logarithmic Functions |
| 11.3 | | Properties of Logarithms |
| 11.4 | | Solving Equations |
| |
| Chapter 12 | Nonlinear Systems and the Conic Sections |
| 12.1 | | Nonlinear Systems of Equations |
| 12.2 | | The Parabola |
| 12.3 | | The Circle |
| 12.4 | | The Ellipse and Hyperbola |
| 12.5 | | Second-Degree Inequalities |
| |
| Chapter 13 | Sequences and Series |
| 13.1 | | Sequences |
| 13.2 | | Series |
| 13.3 | | Arithmetic Sequences and Series |
| 13.4 | | Geometric Sequences and Series |
| 13.5 | | Binomial Expansions |
| |
| Chapter 14 | Counting and Probability |
| 14.1 | | Counting and Permutations |
| 14.2 | | Combinations |
| 14.3 | | Probability |
| |
| Appendix A | Geometry Review |
| Appendix B | Table of Squares and Square Roots |
| Appendix C | Answers to Selected Exercises |
