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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