| Real Numbers | |
| Real Numbers | p. 9 |
| Adding Integers | p. 13 |
| Subtracting Integers | p. 15 |
| Multiplying Integers | p. 17 |
| Dividing Integers | p. 19 |
| Powers and Exponents | p. 21 |
| Order of Operations | p. 23 |
| Chapter 1 Exercise | p. 25 |
| Decimals | |
| Decimals | p. 29 |
| Adding and Subtracting Decimals | p. 31 |
| Multiplying Decimals | p. 33 |
| Dividing Decimals | p. 35 |
| Scientific Notations | p. 37 |
| Chapter 2 Exercises | p. 39 |
| Number Theory | |
| Factors and Multiples | p. 43 |
| Divisibility Tests | p. 45 |
| Prime Factorization | p. 47 |
| Greatest Common Factor and Least Common Multiple | p. 49 |
| Sequences and Number Patterns | p. 52 |
| Chapter 3 Exercises | p. 55 |
| Fractions | |
| Introduction to Fractions | p. 59 |
| Fractions and Decimals | p. 63 |
| Adding and Subtracting Fractions | p. 65 |
| Multiplying Fractions | p. 69 |
| Dividing Fractions | p. 73 |
| Chapter 4 Exercises | p. 77 |
| Ratios, Proportions, and Percents | |
| Ratios and Rates | p. 81 |
| Proportions | p. 83 |
| Percents | p. 85 |
| Percents and Decimals | p. 87 |
| Percents and Fractions | p. 89 |
| Percent and Applications | p. 91 |
| Chapter 5 Exercises | p. 95 |
| Equations | |
| Variables and Expressions | p. 101 |
| Adding and Subtracting Expressions | p. 103 |
| Multiplying and Dividing Expressions | p. 105 |
| Solving One - Step Equations | p. 107 |
| Solving Two - Step Equations | p. 111 |
| Solving Multistep Equations | p. 115 |
| Translating Words into Symbols | p. 117 |
| Solving Word Problems in One Variable | p. 121 |
| Literal Equations and Formulas | p. 127 |
| Chapter 6 Exercises | p. 129 |
| Functions and Graphs | |
| Number line and Coordinate Plane | p. 137 |
| Linear Equations | p. 141 |
| Equations and Functions | p. 143 |
| Relations and Functions | p. 145 |
| Graphing Linear Equations | p. 149 |
| Slope of a line | p. 153 |
| Finding the Equation of a Line | p. 157 |
| Parallel and Perpendicular Lines | p. 161 |
| Direct Variations | p. 163 |
| Chapter 7 Exercises | p. 165 |
| Polynomials and Factoring | |
| Laws of Exponents | p. 171 |
| Multiplying Polynomials | p. 175 |
| Multiplying Binomials (FOIL & Patterns) | p. 177 |
| Factoring Polynomials | p. 179 |
| Factoring Quadratic Trinomials | p. 181 |
| Factoring Special Quadratic Patterns | p. 183 |
| Solving Equations by Factoring | p. 185 |
| Solving Word Problems by Factoring | p. 187 |
| Chapter 8 Exercises | p. 189 |
| Inequalities and Absolute Values | |
| Inequalities on the number line | p. 195 |
| Solving Inequalities in One Variable | p. 197 |
| Solving Combined Inequalities | p. 199 |
| Solving Word Problems involving Inequalities | p. 203 |
| Operations with Absolute Values | p. 205 |
| Absolute - Value Equations and Inequalities | p. 207 |
| Chapter 9 Exercises | p. 209 |
| Systems of Equations and Inequalities | |
| Solving Systems by Graphing | p. 213 |
| Solving Systems Algebraically | p. 217 |
| Solving Word Problems by using Systems | p. 221 |
| Linear Programming | p. 223 |
| Chapter 10 Exercises | p. 225 |
| Radicals | |
| Square Roots and Radicals | p. 229 |
| Simplifying Radicals | p. 231 |
| Simplifying Radical Expressions | p. 233 |
| Solving Equations involving Radicals | p. 235 |
| The Pythagorean Theorem | p. 237 |
| Distance and Midpoint Formulas | p. 239 |
| Chapter 11 Exercises | p. 241 |
| Proofs of the Pythagorean Theorem | p. 243 |
| Quadratic Equations and Functions | |
| Quadratic Equations Involving Perfect Squares | p. 245 |
| Completing the Square | p. 247 |
| The Quadratic Formula | p. 249 |
| Graphing Quadratic Functions - Parabolas | p. 251 |
| Chapter 12 Exercises | p. 255 |
| Proof of the Quadratic Formula | p. 257 |
| Rational Expressions (Algebraic Fractions) | |
| Simplifying Rational Expressions | p. 259 |
| Adding and Subtracting Rational Expressions | p. 261 |
| Multiplying and Dividing Rational Expressions | p. 263 |
| Solving Rational Equations | p. 265 |
| Solving Word Problems by Rational Equations | p. 267 |
| Inverse Variations | p. 269 |
| Chapter 13 Exercises | p. 271 |
| Statistics and Probability | |
| Mean, Median, Mode, and Range | p. 273 |
| Statistical Graphs | p. 275 |
| Histogram and Normal Distribution | p. 277 |
| Stem-and-Leaf Plots & Box-and-Whisker Plots | p. 279 |
| Sets and Venn Diagrams | p. 281 |
| Probability | p. 283 |
| Chapter 14 Exercises | p. 287 |
| Answers to all Exercises | p. 289 |
| Standardized Sample Questions and Answers | p. 331 |
| Standardized Sample Tests (Completed solution keys are available for math teachers only.) | p. 339 |
| Interactive Learning Form | p. 349 |
| Order Form | p. 351 |
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