| Chapter 1 | The Real Numbers and Their Properties |
| 1.1 | | The Real Numbers |
| 1.2 | | Fractions |
| 1.3 | | Addition and Subtraction of Real Numbers |
| 1.4 | | Multiplication and Division of Real Numbers |
| 1.5 | | Exponential Expressions and the Order of Operations |
| 1.6 | | Algebraic Expressions |
| 1.7 | | Properties of the Real Numbers |
| 1.8 | | Using the Properties to Simplify Expressions |
| |
| Chapter 2 | Linear Equations and Inequalities in One Variable |
| 2.1 | | The Addition and Multiplication Properties of Equality |
| 2.2 | | Solving General Linear Equations |
| 2.3 | | Identities, Conditional Equations, and Inconsistent Equations |
| 2.4 | | Formulas |
| 2.5 | | Translating Verbal Expressions into Algebraic Expressions |
| 2.6 | | Number, Geometric, and Uniform Motion Applications |
| 2.7 | | Discount, Investment, and Mixture Applications |
| 2.8 | | Inequalities |
| 2.9 | | Solving Inequalities and Applications |
| |
| Chapter 3 | Linear Equations in Two Variables and Their Graphs |
| 3.1 | | Graphing Lines in the Coordinate Plane |
| 3.2 | | Slope |
| 3.3 | | Equations of Lines in Slope-Intercept and Standard Form |
| 3.4 | | The Point-Slope Form |
| 3.5 | | Applications of Linear Equations |
| 3.6 | | Introduction to Functions (Optional) |
| 3.7 | | Variation |
| |
| Chapter 4 | Polynomials and Exponents |
| 4.1 | | Addition and Subtraction of Polynomials |
| 4.2 | | Multiplication of Polynomials |
| 4.3 | | Multiplication of Binomials |
| 4.4 | | Special Products |
| 4.5 | | Division of Polynomials |
| 4.6 | | Positive Integral Exponents |
| 4.7 | | Negative Exponents and Scientific Notation |
| |
| Chapter 5 | Factoring |
| 5.1 | | Factoring Out Common Factors |
| 5.2 | | Factoring the Special Products and Factoring by Grouping |
| 5.3 | | Factoring ax2 + bx + c with a = 1 |
| 5.4 | | Factoring ax2 + bx + c with a =/ 1 |
| 5.5 | | The Factoring Strategy |
| 5.6 | | Solving Quadratic Equations by Factoring |
| |
| Chapter 6 | Rational Expressions |
| 6.1 | | Reducing Rational Expressions |
| 6.2 | | Multiplication and Division |
| 6.3 | | Finding the Least Common Denominator |
| 6.4 | | Addition and Subtraction |
| 6.5 | | Complex Fractions |
| 6.6 | | Solving Equations with Rational Expressions |
| 6.7 | | Applications of Ratios and Proportions |
| 6.8 | | Applications of Rational Expressions |
| |
| Chapter 7 | Systems of Linear Equations and Inequalities |
| 7.1 | | The Graphing Method |
| 7.2 | | The Substitution Method |
| 7.3 | | The Addition Method |
| 7.4 | | Graphing Linear Inequalities in Two Variables |
| 7.5 | | Graphing Systems of Linear Inequalities |
| |
| Chapter 8 | Power and Roots |
| 8.1 | | Roots, Radicals, and Rules |
| 8.2 | | Simplifying Square Roots |
| 8.3 | | Operations with Radicals |
| 8.4 | | Solving Equations with Radicals and Exponents |
| 8.5 | | Fractional Exponents |
| |
| Chapter 9 | Quadratic Equations and Quadratic Functions |
| 9.1 | | The Square Root Property and Factoring |
| 9.2 | | Completing the Square |
| 9.3 | | The Quadratic Formula |
| 9.4 | | Applications of Quadratic Equations |
| 9.5 | | Complex Numbers |
| 9.6 | | Quadratic Functions and Their Graphs |
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| Appendix A | Geometry Review |
| Appendix B | Table of Squares and Square Roots |
| Appendix C | Answers to Selected Exercises |
