Introduction | p. ix |
How to Study | p. ix |
Special Study Hints for Mathematics | p. x |
Reading in Mathematics | p. xi |
The Tests | p. ix |
Diagnostic Test | p. 1 |
General Mathematical Ability | p. 3 |
Answers and Explanations | p. 9 |
Evaluating Yourself | p. 15 |
1 Whole Numbers | p. 17 |
Pretest-Whole Numbers | p. 17 |
1.1 Operations | p. 18 |
1.2 Factorization and Divisibility | p. 20 |
1.3 Rounding Off | p. 26 |
Trial Test-Whole Numbers | p. 29 |
2 Fractions | p. 31 |
Pretest-Fractions | p. 31 |
2.1 Inverse Operations | p. 33 |
2.2 Meanings of "Fraction" | p. 36 |
2.3 Multiplication of Fractions and Lowest Terms | p. 38 |
2.4 Mixed Numbers | p. 41 |
2.5 Multiplication Shortcuts - Cancellation | p. 43 |
2.6 Division of Fractions | p. 45 |
2.7 Addition of Fractions | p. 48 |
2.8 Subtraction of Fractions | p. 51 |
Trial Test-Fractions | p. 54 |
3 Decimals | p. 57 |
Pretest-Decimals | p. 57 |
3.1 Meaning of "Decimal" | p. 58 |
3.2 Multiplying and Dividing Decimals by Powers of Ten | p. 60 |
3.3 Rounding Off Decimals | p. 61 |
3.4 Adding Decimals | p. 64 |
3.5 Subtracting Decimals | p. 65 |
3.6 Multiplying Decimals | p. 66 |
3.7 Dividing Decimals | p. 67 |
3.8 Converting a Fraction to a Decimal | p. 70 |
Trial Test-Decimals | p. 71 |
4 Percent | p. 73 |
Pretest-Percent | p. 73 |
4.1 Meaning of "Percent" | p. 74 |
4.2 Changing Percent to a Workable Form | p. 75 |
4.3 Changing Decimals or Fractions to Percents | p. 78 |
4.4 Arithmetic Problems Using Percent | p. 79 |
Trial Test-Percent | p. 84 |
5 Beginning Algebra | p. 87 |
Pretest-Beginning Algebra | p. 87 |
5.1 Variables | p. 88 |
5.2 Operations | p. 89 |
5.3 Equations | p. 90 |
5.4 Signed Numbers and Integers | p. 95 |
5.5 Operations with Signed Numbers and Integers | p. 96 |
5.6 Using Signed Numbers in Equations | p. 100 |
5.7 Algebraic Expressions | p. 103 |
5.8 Adding Algebraic Expressions | p. 104 |
5.9 Multiplying Algebraic Expressions | p. 105 |
5.10 Division of One Algebraic Expression by Another | p. 106 |
5.11 Parentheses | p. 108 |
5.12 Evaluating Algebraic Expressions | p. 109 |
5.13 A Brief Introduction to Functions | p. 111 |
Trial Test-Beginning Algebra | p. 113 |
6 Factoring in Algebra | p. 115 |
Pretest-Factoring | p. 115 |
6.1 Factoring | p. 116 |
6.2 Finding the Common Factor | p. 117 |
6.3 Factoring the Difference of Two Squares | p. 119 |
6.4 Factoring Trinomials of the Form: ax 2 + bx + c | p. 121 |
6.5 Complete Factoring | p. 128 |
Trial Test-Factoring | p. 131 |
7 Algebra-More on Equations | p. 133 |
Pretest-More on Equations | p. 133 |
7.1 Simultaneous Equations | p. 134 |
7.2 Quadratic Equations | p. 137 |
7.3 Inequalities | p. 140 |
7.4 Graphs of Equations | p. 145 |
7.5 Slope of a Line | p. 151 |
7.6 Number Sequences | p. 154 |
Trial Test-More on Equations | p. 156 |
8 Geometry | p. 157 |
Pretest-Geometry | p. 157 |
8.1 Angles | p. 159 |
8.2 Parallel and Perpendicular Lines | p. 162 |
8.3 Triangles | p. 163 |
8.4 The Sum of the Angles of a Triangle | p. 170 |
8.5 Special Lines in a Triangle | p. 172 |
8.6 Congruent Triangles and Similar Triangles | p. 173 |
8.7 Perimeter and Area | p. 176 |
8.8 Circles | p. 182 |
8.9 Solid Geometry | p. 184 |
8.10 Table of Formulas | p. 187 |
8.11 Metric Measurement | p. 189 |
Trial Test-Geometry | p. 190 |
9 Right Triangle Trigonometry | p. 195 |
Pretest-Right Triangle Trigonometry | p. 195 |
9.1 Trigonometry of the Right Triangle | p. 197 |
9.2 Naming Sides of a Right Triangle | p. 197 |
9.3 Trigonometric Ratios | p. 198 |
9.4 Finding Trigonometric Ratios with a Calculator | p. 199 |
9.5 Applications of the Sine, Cosine, and Tangent Ratios | p. 201 |
Trial Test-Right Triangle Trigonometry | p. 204 |
10 Tables and Graphs | p. 207 |
Pretest-Tables and Graphs | p. 207 |
10.1 Reading and Using a Table | p. 211 |
10.2 Bar Graphs | p. 214 |
10.3 Line Graphs | p. 216 |
10.4 Circle Graphs | p. 218 |
Trial Test-Tables and Graphs | p. 220 |
11 Word Problems | p. 225 |
Pretest-Word Problems | p. 225 |
Reading a Word Problem | p. 227 |
Trial Test-Word Problems | p. 229 |
12 Probability | p. 233 |
Pretest-Probability | p. 233 |
12.1 Probability-The Study of Chance | p. 234 |
12.2 Compound Events | p. 236 |
12.3 Probabilities and Compound Events | p. 239 |
12.4 Permutations | p. 241 |
Trial Test-Probability | p. 243 |
13 Statistics | p. 245 |
13.1 Measures of Central Tendency | p. 245 |
13.2 Organizing and Displaying Data | p. 248 |
Trial Test-Statistics | p. 251 |
Practice Test | p. 253 |
General Mathematical Ability | p. 255 |
Answers and Explanations | p. 263 |
Evaluating Yourself | p. 269 |
Solutions | p. 271 |
Index | p. 311 |