| Introduction | 1 |
| Why You Need This Book | 2 |
| How to Use This Book | 2 |
| Visit Our Web Site | 3 |
| Chapter 1 | Linear Sentences in One Variable | 5 |
| Linear Equations | 5 |
| Formulas | 7 |
| Absolute Value Equations | 10 |
| Linear Inequalities | 12 |
| Compound Inequalities | 14 |
| Absolute Value Inequalities | 17 |
| Chapter 2 | Segments, Lines, and Inequallties | 22 |
| Rectangular Coordinate System | 22 |
| Distance Formula | 24 |
| Midpoint Formula | 25 |
| Slope of a Line | 26 |
| Slope of Parallel and Perpendicular Lines | 28 |
| Equations of Lines | 29 |
| Graphs of Linear Inequalities | 35 |
| Chapter 3 | Linear Sentences in Two Variables | 41 |
| Linear Equations: Solutions Using Graphing | 41 |
| Linear Equations: Solutions Using Substitution | 43 |
| Linear Equations: Solutions Using Eliminations | 44 |
| Linear Equations: Solutions Using Matrices | 47 |
| Linear Equations: Solutions Using Determinants | 48 |
| Linear Inequalities: Solutions Using Graphing | 51 |
| Chapter 4 | Linear Equations in Three Variables | 57 |
| Linear Equations: Solutions Using Elimination | 57 |
| Linear Equations: Solutions Using Matrices | 61 |
| Linear Equations: Solutions Using Determinants | 64 |
| Chapter 5 | Polynomial Arithmetic | 70 |
| Adding and Subtracting Polynomials | 70 |
| Monomial, binomial, and trinomial | 70 |
| Like terms or similar terms | 71 |
| Ascending and descending order | 72 |
| Multiplying Polynomials | 73 |
| Special Products of Binomials | 75 |
| Dividing Polynomials | 77 |
| Synthetic Division | 81 |
| Chapter 6 | Factoring Polynomials | 84 |
| Greatest Common Factor | 84 |
| Difference of Squares | 85 |
| Sum or Difference of Cubes | 86 |
| Trinomials of the Form x[superscript 2] + bx + c | 88 |
| Trinomials of the Form ax[superscript 2] + bx + c | 89 |
| Square Trinomials | 91 |
| Factoring by Regrouping | 91 |
| Summary of Factoring Techniques | 92 |
| Solving Equations by Factoring | 93 |
| Chapter 7 | Rational Expressions | 97 |
| Examples of Rational Expressions | 97 |
| Simplifying Rational Expressions | 98 |
| Multiplying Rational Expressions | 99 |
| Dividing Rational Expressions | 100 |
| Adding and Subtracting Rational Expressions | 101 |
| Complex Fractions | 105 |
| Solving Rational Equations | 107 |
| Proportion, Direct Variation, Inverse Variation, Joint Variation | 109 |
| Proportion | 119 |
| Direct variation | 110 |
| Inverse variation | 111 |
| Joint variation | 112 |
| Graphing Rational Functions | 113 |
| Chapter 8 | Relations and Functions | 118 |
| Basic Definitions | 118 |
| Relation | 118 |
| Domain and range | 119 |
| Function | 121 |
| Function Notation | 123 |
| Compositions of Functions | 124 |
| Algebra of Functions | 125 |
| Inverse Functions | 126 |
| Chapter 9 | Polynomial Functions | 132 |
| Polynomial Function | 132 |
| Remainder Theorem | 133 |
| Factor Theorem | 134 |
| Zeros of a Function | 135 |
| Rational Zero Theorem | 135 |
| Graphing Polynomial Functions | 137 |
| Chapter 10 | Radicals and Complex Numbers | 141 |
| Radicals | 141 |
| Simplifying Radicals | 144 |
| Adding and Subtracting Radical Expressions | 144 |
| Multiplying Radical Expressions | 145 |
| Dividing Radical Expressions | 146 |
| Rationalizing the denominator | 147 |
| Conjugates | 148 |
| Rational Exponents | 148 |
| Complex Numbers | 149 |
| Chapter 11 | Quadratics in One Variable | 153 |
| Quadratic Equations | 153 |
| Solving Quadratics by Factoring | 154 |
| Solving Quadratics by the Square Root Property | 154 |
| Solving Quadratics by Completing the Square | 155 |
| Solving Quadratics by the Quadratic Formula | 157 |
| Solving Equations in Quadratic Form | 159 |
| Solving Radical Equations | 160 |
| Solving Quadratic Inequalities | 165 |
| Chapter 12 | Conic Sections | 171 |
| The Four Conic Sections | 171 |
| Circle | 172 |
| Parabola | 174 |
| Ellipse | 179 |
| Hyperbola | 185 |
| Chapter 13 | Quadratic Systems | 192 |
| Systems of Equations Solved Algebraically | 192 |
| Systems of Equations Solved Graphically | 194 |
| Systems of Inequalities Solved Graphically | 196 |
| Chapter 14 | Exponential and Logarithmic Functions | 200 |
| Exponential Functions | 200 |
| Logarithmic Functions | 204 |
| Properties of Logarithms | 207 |
| Exponential and Logarithmic Equations | 209 |
| Chapter 15 | Sequences and Series | 215 |
| Definition and Examples of Sequences | 215 |
| Arithmetic Sequence | 217 |
| Arithmetic Series | 218 |
| Geometric Sequence | 219 |
| Geometric Series | 221 |
| Summation Notation | 223 |
| Chapter 16 | Additional Topics | 226 |
| Factorials | 226 |
| Binomial Coefficients and the Binomial Theorem | 227 |
| Permutations | 229 |
| Combinations | 231 |
| Chapter 17 | Word Problems | 233 |
| General Strategy | 233 |
| Simple Interest | 234 |
| Compound Interest | 235 |
| Mixture | 236 |
| Motion | 236 |
| Work | 239 |
| Arithmetic/Geometric Series | 241 |
| CQR Review | 244 |
| CQR Resource Center | 250 |
| Glossary | 253 |
| Index | 260 |