Table of Contents
How to Use This Book vi
Chapter 1 A Painless Beginning 1
Mathematical Operations 3
Zero 11
Order of Operations 13
Properties of Numbers 16
Number Systems 21
Brain Ticklers-The Answers 25
Chapter 2 The Integers 27
What Are the Integers? 27
Which Is Greater? 30
Adding Integers 32
Subtracting Integers 35
Multiplying Integers 38
Dividing Integers 40
Word Problems 43
Brain Ticklers-The Answers 45
Chapter 3 Solving Equations with One Variable 47
Defining the Terms 47
Solving Equations 48
Solving More Equations 53
Word Problems 57
Brain Ticklers-The Answers 60
Chapter 4 Solving Inequalities 65
Graphing Inequalities 67
Solving Inequalities 70
Word Problems 76
Brain Ticklers-The Answers 79
Chapter 5 Graphing Linear Equations and Inequalities 81
Graphing Points 82
Graphing Lines by Plotting Points 84
Graphing Horizontal and Vertical Lines 87
Rate of Change 90
Finding the Equation of a Line 95
Graphing Using Rate of Change-intercept Method 97
Graphing Inequalities 100
Brain Ticklers-The Answers 107
Chapter 6 Solving Systems of Equations and Inequalities 113
Solving Systems of Linear Equations by Addition or Subtraction 114
Solving Systems of Linear Equations by Substitution 124
Solving Systems of Linear Equations by Graphing 127
Solving Systems of Linear Inequalities by Graphing 130
Word Problems 133
Brain Ticklers-The Answers 136
Chapter 7 Exponents 139
Multiplying Exponents with Coefficients 141
Adding and Subtracting Exponential Expressions 144
Multiplying Exponential Expressions 145
Dividing Exponential Expressions 148
Raising to a Power 150
Negative Exponents 151
Word Problems 154
Brain Ticklers-The Answers 156
Chapter 8 Roots and Radicals 159
Square Roots 159
Cube Roots and Higher 162
Negative Radicands 166
Radical Expressions 169
Word Problems 187
Brain Ticklers-The Answers 190
Chapter 9 Quadratic Equations 193
Solving Quadratic Equations by Factoring 197
Solving Quadratic Equations by Completing the Square 213
The Quadratic Formula 218
Solving a System of Linear and Quadratic Equations Algebraically 222
Graphing Quadratic Equations 227
Solving a System of Linear and Quadratic Equations Graphically 234
Word Problems 240
Brain Ticklers-The Answers 243
Chapter 10 Advanced Topics 249
Series and Sequences 249
Pascal's Triangle and Binomial Coefficients 257
Matrices 264
Functions 273
Brain Ticklers-The Answers 282
Index 285