Table of Contents
Introduction 1
What You'll Find 1
How This Workbook is Organized 1
Part 1 Questions 2
Part 2 Answers 3
Beyond the Book 3
Where to Go from Here 4
Part 1 The Questions 5
Chapter 1 The Big Four Operations 7
The Problems You'll Work On 7
What to Watch Out For 7
Rounding 8
Adding, Subtracting, Multiplying, and Dividing 8
Chapter 2 Less than Zero: Working with Negative Numbers 11
The Problems You'll Work On 11
What to Watch Out For 11
Adding and Subtracting Negative Numbers 12
Multiplying and Dividing Negative Numbers 13
Working with Absolute Value 14
Chapter 3 You've Got the Power: Powers and Roots 17
The Problems You'll Work On 17
What to Watch Out For 17
Multiplying a Number by Itself 18
Finding Square Roots 20
Negative and Fractional Exponents 21
Chapter 4 Following Orders: Order of Operations 23
The Problems You'll Work On 23
What to Watch Out For 23
The Big Four Operations 24
Operations with Exponents 24
Operations with Parentheses 25
Operations with Square Roots 26
Operations with Fractions 26
Operations with Absolute Values 27
Chapter 5 Big Four Word Problems 29
The Problems You'll Work On 29
What to Watch Out For 29
Basic Word Problems 30
Intermediate Word Problems 31
Advanced Word Problems 33
Chapter 6 Divided We Stand 35
The Problems You'll Work On 35
What to Watch Out For 36
Determining Divisibility 36
Working with Prime and Composite Numbers 41
Chapter 7 Factors and Multiples 43
The Problems You'll Work On 43
What to Watch Out For 43
Identifying Factors 44
Finding Nondistinct Prime Factors 46
Figuring the Greatest Common Factor 46
Mastering Multiples 47
Looking for the Least Common Multiple 48
Chapter 8 Word Problems about Factors and Multiples 49
The Problems You'll Work On 49
What to Watch Out For 49
Basic Word Problems 50
Intermediate Word Problems 50
Advanced Word Problems 51
Chapter 9 Fractions 53
The Problems You'll Work On 53
What to Watch Out For 53
Identifying Fractions 54
Converting Numbers to Fractions 56
Converting Fractions to Mixed Numbers 56
Increasing Terms 56
Reducing Terms 57
Comparing Fractions 57
Multiplying and Dividing Fractions 58
Adding and Subtracting Fractions 58
Adding and Subtracting Fractions Using Cross-Multiplication 59
Adding and Subtracting Fractions by Increasing Terms 60
Adding and Subtracting Fractions by Finding a Common Denominator 60
Multiplying and Dividing Mixed Numbers 61
Adding and Subtracting Mixed Numbers 61
Simplifying Fractions 62
Chapter 10 Decimals 63
The Problems You'll Work On 63
What to Watch Out For 63
Converting Fractions and Decimals 64
Adding and Subtracting Decimals 66
Multiplying and Dividing Decimals 67
Chapter 11 Percents 69
The Problems You'll Work On 69
What to Watch Out For 69
Converting Decimals, Fractions, and Percents 70
Solving Percent Problems 72
Chapter 12 Ratios and Proportions 75
The Problems You'll Work On 75
What to Watch Out For 75
Fractions and Ratios 76
Using Equations to Solve Ratios and Proportions 77
Chapter 13 Word Problems for Fractions, Decimals, and Percents 79
The Problems You'll Work On 79
What to Watch Out For 79
Fraction Problems 80
Decimal Problems 82
Percent Problems 83
Chapter 14 Scientific Notation 87
The Problems You'll Work On 87
What to Watch Out For 87
Converting Standard Notation and Scientific Notation 88
Multiplying Numbers in Scientific Notation 89
Chapter 15 Weights and Measures 91
The Problmes You'll Work On 91
What to Watch Out For 91
English Measurements 92
Metric Units 93
Temperature Conversions 94
Converting English and Metric Units 94
Chapter 16 Geometry 97
The Problems You'll Work On 97
What to Watch Out For 97
Angles 98
Sqauares 100
Rectangles 101
Parallelograms and Trapezoids 102
Area of Triangles 103
The Pythagorean Theorem 104
Circles 105
Volume 107
Chapter 17 Graphing 109
The Problems You'll Work On 109
What to Watch Out For 109
Bar Graph 110
Pie Chart 110
Line Graph 111
Population Pictograph 112
Pie Chart 112
Trees Pictograph 113
Cartesian Graph 114
Chapter 18 Statistics and Probability 115
The Problems You'll Work On 115
What to Watch Out For 115
Finding Means 116
Finding Weighted Means 117
Medians and Modes 118
Independent Events 118
Dependent Events 119
Probability 121
Chapter 19 Set Theory 123
The Problems You'll Work On 123
What to Watch Out For 123
Performing Operations on Sets 124
Set Relationships 125
Complements 125
Venn Diagrams 125
Chapter 20 Algebraic Expressions 127
The Problems You'll Work On 127
What to Watch Out For 127
Evaluating 128
Simplifying 128
Factoring 130
Simplifying by Factoring 131
Chapter 21 Solving Algebraic Equations 133
The Problems You'll Work On 133
What to Watch Out For 133
Simple Equations 134
Isolating Variables 135
Solving Equations with Decimals 135
Solving Equations with Parentheses 136
Solving Equations with Fractions 136
Factoring 138
Chapter 22 Solving Algebra Word Problems 139
The Problems You'll Work On 139
What to Watch Out For 139
Word Problems 140
Part 2 The Answers 143
Chapter 23 Answers 145
Index 407
