Table of Contents
Before You Begin vii
How this book is organized ix
Introduction xi
Chapter 1 Working with Variables 1
Number properties 2
Practice Questions-Commutative property 4
Practice Questions-Associative property 6
Practice Questions-Distributive property 8
Practice Questions-Additive identity 9
Practice Questions-Multiplicative identity 11
Practice Questions-Additive inverse 12
Practice Questions-Multiplicative inverse 14
Practice Questions-Zero property 15
Order of operations 16
Practice Questions-Order of operations 18
Chapter Review 19
Practice Question Solutions 21
Chapter Review Solutions 24
Chapter 2 Expressions 25
What is an expression? 26
Parts of expressions 26
Writing expressions 27
Practice Questions-Writing expressions 28
Simplifying expressions 29
Practice Questions-Expressions with one variable 30
Practice Questions-Expressions with two variables 32
Substitution 32
Practice Questions-Substitution for one variable 34
Practice Questions-Substitution for two variables 36
Chapter Review 37
Practice Question Solutions 39
Chapter Review Solutions 42
Chapter 3 Equations 45
What is an equation? 46
Parts of equations 46
Simplifying equations 47
Practice Questions-Simplifying equations 51
Solving equations 52
Practice Questions-Equations with one variable 54
Practice Questions-Equations with variables on both sides 56
Chapter Review 57
Practice Question Solutions 59
Chapter Review Solutions 66
Chapter 4 Exponents 71
What is an exponent? 72
Exponents of positive and negative numbers 74
Operations with exponents 75
Practice Questions-Operations with exponents 77
Negative exponents 78
Practice Questions-Negative exponents 79
Chapter Review 81
Practice Question Solutions 83
Chapter Review Solutions 85
Chapter 5 Roots 89
What is a root? 90
Square roots and cube roots 91
Practice Questions-Square roots and cube roots 93
Operations with roots 94
Practice Questions-Operations with roots 98
Chapter Review 100
Practice Question Solutions 102
Chapter Review Solutions 105
Chapter 6 Polynomials 113
What is a polynomial? 114
Parts of polynomials 115
Types of polynomials 117
Adding and subtracting polynomials 118
Practice Questions-Adding and subtracting polynomials 121
Multiplying and dividing polynomials 122
Practice Questions-Multiplying and dividing polynomials 125
Chapter Review 126
Practice Question Solutions 128
Chapter Review Solutions 133
Chapter 7 Polynomial Equations 139
What is a polynomial equation? 140
Factoring polynomial equations 141
Practice Questions-Factoring binomial equations 143
Practice Questions-Factoring trinomial equations 146
Solving polynomial equations 147
Practice Questions-Solving binomial equations 148
Practice Questions-Solving trinomial equations 150
Chapter Review 151
Practice Question Solutions 153
Chapter Review Solutions 163
Chapter 8 Absolute Value 171
What is absolute value? 172
Absolute value with variables 173
Practice Questions-Absolute value with variables 174
Solving absolute value equations 175
Practice Questions-Solving absolute value equations 178
Chapter Review 179
Practice Question Solutions 180
Chapter Review Solutions 181
Chapter 9 Inequalities 185
What is an inequality? 186
Parts of inequalities 186
Writing inequalities 187
Practice Questions-Writing inequalities 188
Solving inequalities 189
Practice Questions-Solving inequalities 192
Chapter Review 193
Practice Question Solutions 194
Chapter Review Solutions 196
Chapter 10 Systems of Equations 199
What are systems of equations? 200
Solving systems of equations by substitution 201
Practice Questions-Solving systems of equations by substitution 203
Solving systems of equations by combining 205
Practice Questions-Solving systems of equations by combining 208
Chapter Review 210
Practice Question Solutions 213
Chapter Review Solutions 223
Chapter 11 Word Problems 235
What is a word problem? 236
Types of word problems 236
Setting up word problems 239
Practice Questions-Setting up word problems 242
Solving word problems 244
Practice Questions-Solving word problems 246
Chapter Review 248
Practice Question Solutions 252
Chapter Review Solutions 259