Preface | x | ||

Lesson 1 Addition and Subtraction of Fractions • Lines and Segments | 1 | (3) | |

Lesson 2 Angles • Polygons • Triangles • Quadrilaterals | 4 | (6) | |

Lesson 3 Perimeter • Circumference | 10 | (4) | |

Lesson 4 Review of Arithmetic | 14 | (9) | |

Lesson 5 Sets • Absolute Value • Addition of Signed Numbers | 23 | (6) | |

Lesson 6 Rules for Addition • Adding More Than Two Numbers • Inserting Parentheses Mentally • Definition of Subtraction | 29 | (5) | |

Lesson 7 The Opposite of a Number • Simplifying More Difficult Notations | 34 | (2) | |

Lesson 8 Area | 36 | (7) | |

Lesson 9 Rules for Multiplication of Signed Numbers • Inverse Operations • Rules for Division of Signed Numbers • Summary | 43 | (4) | |

Lesson 10 Division by Zero • Exchange of Factors in Multiplication • Conversions of Area | 47 | (4) | |

Lesson 11 Reciprocal and Multiplicative Inverse • Order of Operations • Identifying Multiplication and Addition | 51 | (3) | |

Lesson 12 Symbols of Inclusion • Order of Operations | 54 | (3) | |

Lesson 13 Multiple Symbols of Inclusion • More on Order of Operations • Products of Signed Numbers | 57 | (6) | |

Lesson 14 Evaluation of Algebraic Expressions | 63 | ||

Lesson 15 Surface Area | 61 | (11) | |

Lesson 16 More Complicated Evaluations | 72 | (2) | |

Lesson 17 Factors and Coefficients • Terms • The Distributive Property | 74 | (5) | |

Lesson 18 Like Terms • Addition of Like Terms | 79 | (3) | |

Lesson 19 Exponents • Powers of Negative Numbers • Roots • Evaluation of Powers | 82 | (4) | |

Lesson 20 Volume | 86 | (5) | |

Lesson 21 Product Rule for Exponents • Addition of Like Terms with Exponents | 91 | (4) | |

Lesson 22 Review of Numerical and Algebraic Expressions • Statements and Sentences • Conditional Equations | 95 | (4) | |

Lesson 23 Equivalent Equations • Additive Property of Equality | 99 | (3) | |

Lesson 24 Multiplicative Property of Equality | 102 | (4) | |

Lesson 25 Solution of Equations | 106 | (4) | |

Lesson 26 More Complicated Equations | 110 | (3) | |

Lesson 27 More on the Distributive Property • Simplifying Decimal Equations | 113 | (3) | |

Lesson 28 Fractional Parts of Numbers • Functional Notation | 116 | (5) | |

Lesson 29 Negative Exponents • Zero Exponents | 121 | (4) | |

Lesson 30 Algebraic Phrases • Decimal Parts of a Number | 125 | (3) | |

Lesson 31 Equations with Parentheses | 128 | (3) | |

Lesson 32 Word Problems | 131 | (3) | |

Lesson 33 Products of Prime Factors • Statements About Unequal Quantities | 134 | (4) | |

Lesson 34 Greatest Common Factor | 138 | (2) | |

Lesson 35 Factoring the Greatest Common Factor • Canceling | 140 | (6) | |

Lesson 36 Distributive Property of Rational Expressions that Contain Positive Exponents • Minus Signs and Negative Exponents | 146 | (3) | |

Lesson 37 Inequalities • Greater Than and Less Than • Graphical Solutions of Inequalities | 149 | (4) | |

Lesson 38 Ratio Problems | 153 | (3) | |

Lesson 39 Trichotomy Axiom • Negated Inequalities • Advanced Ratio Problems | 156 | (4) | |

Lesson 40 Quotient Rule for Exponents • Distributive Property of Rational Expressions that Contain Negative Exponents | 160 | (5) | |

Lesson 41 Addition of Like Terms in Rational Expressions • Two-Step Problems | 165 | (3) | |

Lesson 42 Solving Multivariable Equations | 168 | (3) | |

Lesson 43 Least Common Multiple • Least Common Multiples of Algebraic Expressions | 171 | (5) | |

Lesson 44 Addition of Rational Expressions with Equal Denominators • Addition of Rational Expressions with Unequal Denominators | 176 | (5) | |

Lesson 45 Range, Median, Mode, and Mean | 181 | (4) | |

Lesson 46 Conjunctions | 185 | (2) | |

Lesson 47 Percents Less Than 100 • Percents Greater Than 100 | 187 | (5) | |

Lesson 48 Polynomials • Degree • Addition of Polynomials | 192 | (5) | |

Lesson 49 Multiplication of Polynomials | 197 | (3) | |

Lesson 50 Polynomial Equations • Ordered Pairs • Cartesian Coordinate System | 200 | (5) | |

Lesson 51 Graphs of Linear Equations • Graphs of Vertical and Horizontal Lines | 205 | (6) | |

Lesson 52 More on Addition of Rational Expressions with Unequal Denominators • Overall Average | 211 | (4) | |

Lesson 53 Power Rule for Exponents • Conversions of Volume | 215 | (3) | |

Lesson 54 Substitution Axiom • Simultaneous Equations • Solving Simultaneous Equations by Substitution | 218 | (6) | |

Lesson 55 Complex Fractions • Division Rule for Complex Fractions | 224 | (4) | |

Lesson 56 Finite and Infinite Sets • Membership in a Set • Rearranging Before Graphing | 228 | (4) | |

Lesson 57 Addition of Algebraic Expressions with Negative Exponents | 232 | (3) | |

Lesson 58 Percent Word Problems | 235 | (4) | |

Lesson 59 Rearranging Before Substitution | 239 | (3) | |

Lesson 60 Geometric Solids • Prisms and Cylinders | 242 | (5) | |

Lesson 61 Subsets • Subsets of the Set of Real Numbers | 247 | (5) | |

Lesson 62 Square Roots • Higher Order Roots • Evaluating Using Plus or Minus | 252 | (5) | |

Lesson 63 Product of Square Roots Rule • Repeating Decimals | 257 | (3) | |

Lesson 64 Domain • Additive Property of Inequality | 260 | (4) | |

Lesson 65 Addition of Radical Expressions • Weighted Average | 264 | (4) | |

Lesson 66 Simplification of Radical Expressions • Square Roots of Large Numbers | 268 | (3) | |

Lesson 67 Review of Equivalent Equations • Elimination | 271 | (5) | |

Lesson 68 More About Complex Fractions | 276 | (4) | |

Lesson 69 Factoring Trinomials | 280 | (4) | |

Lesson 70 Probability • Designated Order | 284 | (4) | |

Lesson 71 Trinomials with Common Factors • Subscripted Variables | 288 | (4) | |

Lesson 72 Factors That Are Sums • Pyramids and Cones | 292 | (6) | |

Lesson 73 Factoring the Difference of Two Squares • Probability Without Replacement | 298 | (3) | |

Lesson 74 Scientific Notation | 301 | (4) | |

Lesson 75 Writing the Equation of a Line • Slope-Intercept Method of Graphing | 305 | (8) | |

Lesson 76 Consecutive Integers | 313 | (3) | |

Lesson 77 Consecutive Odd and Consecutive Even Integers • Fraction and Decimal Word Problems | 316 | (4) | |

Lesson 78 Rational Equations | 320 | (3) | |

Lesson 79 Systems of Equations with Subscripted Variables | 323 | (3) | |

Lesson 80 Operations with Scientific Notation | 326 | (4) | |

Lesson 81 Graphical Solutions • Inconsistent Equations • Dependent Equations | 330 | (7) | |

Lesson 82 Evaluating Functions • Domain and Range | 337 | (5) | |

Lesson 83 Coin Problems | 342 | (3) | |

Lesson 84 Multiplication of Radicals • Functions | 345 | (6) | |

Lesson 85 Stem-and-Leaf Plots • Histograms | 351 | (1) | |

Lesson 86 Division of Polynomials | 351 | (11) | |

Lesson 87 More on Systems of Equations • Tests for Functions | 362 | (5) | |

Lesson 88 Quadratic Equations • Solution of Quadratic Equations by Factoring | 367 | (4) | |

Lesson 89 Value Problems | 371 | (3) | |

Lesson 90 word Problems with Two Statements of Equality | 374 | (4) | |

Lesson 91 Multiplicative Property of Inequality • Spheres | 378 | (5) | |

Lesson 92 Uniform Motion Problems About Equal Distances | 383 | (5) | |

Lesson 93 Products of Rational Expressions • Quotients of Rational Expressions | 388 | (3) | |

Lesson 94 Uniform Motion Problems of the Form D1 + D2 = N | 391 | (4) | |

Lesson 95 Graphs of Non-Linear Functions • Recognizing Shapes of Various Non-Linear Functions | 395 | (7) | |

Lesson 96 Difference of Two Squares Theorem | 402 | (3) | |

Lesson 97 Angles and Triangles • Pythagorean Theorem • Pythagorean Triples | 405 | (7) | |

Lesson 98 Distance Between Two Points • Slope Formula | 412 | (6) | |

Lesson 99 Uniform Motion-Unequal Distances | 418 | (4) | |

Lesson 100 Place Value • Rounding Numbers | 422 | (5) | |

Lesson 101 Factorable Denominators | 427 | (3) | |

Lesson 102 Absolute Value Inequalities | 430 | (5) | |

Lesson 103 More on Rational Equations | 435 | (4) | |

Lesson 104 Abstract Rational Equations | 439 | (4) | |

Lesson 105 Factoring by Grouping | 443 | (3) | |

Lesson 106 Linear Equations • Equation of a Line Through Two Points | 446 | (4) | |

Lesson 107 Line Parallel to a Given Line • Equation of a Line with a Given Slope | 450 | (4) | |

Lesson 108 Square Roots Revisited • Radical Equations | 454 | (4) | |

Lesson 109 Advanced Trinomial Factoring | 458 | (4) | |

Lesson 110 Vertical Shifts • Horizontal Shifts • Reflection About the x Axis • Combinations of Shifts and Reflections | 462 | (6) | |

Lesson 111 More on Conjunctions • Disjunctions | 468 | (3) | |

Lesson 112 More on Multiplication of Radical Expressions | 471 | (2) | |

Lesson 113 Direct Variation • Inverse Variation | 473 | (6) | |

Lesson 114 Exponential Key • Exponential Growth • Using the Graphing Calculator to Graph Exponential Functions | 479 | (6) | |

Lesson 115 Linear Inequalities | 485 | (5) | |

Lesson 116 Quotient Rule for Square Roots | 490 | (3) | |

Lesson 117 Direct and Inverse Variation Squared | 493 | (3) | |

Lesson 118 Completing the Square | 496 | (5) | |

Lesson 119 The Quadratic Formula • Use of the Quadratic Formula | 501 | (4) | |

Lesson 120 Box-and-Whisker Plots | 505 | (6) | |

Appendix A Properties of the Set of Real Numbers | 511 | (4) | |

Appendix B Glossary | 515 | (8) | |

Answers | 523 | (54) | |

Index | 577 |