Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies (+ Free Online Practice)

Practice makes perfect—gain math mastery with Dummies

Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems on all the major topics in middle-grade math and Pre-Algebra—in the book and online! Get extra practice with tricky subjects, solidify what you’ve already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will improve your mathemagic abilities, no matter what your skill level is now. Thanks to Dummies, you have a resource to help you put key concepts into practice.

• Work through practice problems on all middle-grade and Pre-Algebra topics covered in class
• Step through detailed solutions to build your understanding
• Access practice questions online to study anywhere, any time
• Improve your grade and up your study game with practice, practice, practice

The material presented in Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies is an excellent resource for students, as well as parents and tutors looking to help supplement clasroom instruction.

Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies (9781119883500) was previously published as 1,001 Basic Math & Pre-Algebra Practice Problems For Dummies (9781118446560). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Mark Zegarelli is an instructor and math and test prep tutor in New Jersey. He is the author of Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, ACT Math For Dummies, Logic For Dummies, and Calculus II For Dummies. In his spare time, he enjoys traveling and learning foreign languages.

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 Problems 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

Squares 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

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