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Preface 11
Capter 1 Numbers 13
Lesson 1-1 Types of Numbers 14
Lesson 1-2 Operations and Symbols 19
Lesson 1-3 Properties of Real Numbers 20
Lesson 1-4 Properties of Zero and One 23
Lesson 1-5 Absolute Value 26
Lesson 1-6 Manipulating Rational Numbers 27
Lesson 1-7 The Order of Operations 34
Lesson 1-8 The Distributive Property 35
Lesson 1-9 Evaluating Expressions 37
Chapter 2 Exponents 41
Lesson 2-1 Positive Integer Powers 41
Lesson 2-2 Rules for Exponents 45
Lesson 2-3 Negative Integer Powers 49
Lesson 2-4 Zero as an Exponent 51
Lesson 2-5 Powers of Quotients and Products 52
Lesson 2-6 Scientific Notation 54
Chapter 3 Equations and Equality 59
Lesson 3-1 Equations 59
Lesson 3-2 Equality 60
Lesson 3-3 Algebraic Properties of Equality 62
Lesson 3-4 Solving Linear Equations in One Step 63
Lesson 3-5 Solving Linear Equations Using Several Steps 68
Lesson 3-6 Equations Involving Absolute Value 74
Chapter 4 Inequalities and Graphs 81
Lesson 4-1 Properties of Inequalities 83
Lesson 4-2 Solving Inequalities in One Step 84
Lesson 4-3 Solving Inequalities Using Several Steps 88
Lesson 4-4 Graphing Inequalities Using the Number Line 90
Lesson 4-5 Graphing Compound Inequalities 95
Lesson 4-6 Inequalities and Absolute Value 97
Chapter 5 Relations, Functions, and Graphs 105
Lesson 5-1 Relations 105
Lesson 5-2 Functions 107
Lesson 5-3 Formulas 108
Lesson 5-4 Tables 109
Lesson 5-5 The Cartesian Coordinate System 110
Lesson 5-6 Graphs of Functions and Relations 114
Chapter 6 Linear Equations 121
Lesson 6-1 Linear Functions and Calculating Slopes 121
Lesson 6-2 Intercepts 127
Lesson 6-3 Point-Slope Form 129
Lesson 6-4 Slope-Intercept Form 130
Lesson 6-5 Standard Form 132
Lesson 6-6 Horizontal and Vertical Lines 135
Lesson 6-7 Graphing Linear Equations 138
Chapter 7 Systems of Linear Equations 147
Lesson 7-1 The Graphical Method 148
Lesson 7-2 The Substitution/Elimination Method 150
Lesson 7-3 The Addition/Subtraction Method 153
Chapter 8 Monomials and Polynomials 161
Lesson 8-1 Terminology 161
Lesson 8-2 Adding and Subtracting Monomials 163
Lesson 8-3 Multiplying and Dividing Monomials 164
Lesson 8-4 Monomials as the Base of an Exponential Expression 167
Lesson 8-5 Adding and Subtracting Polynomials 168
Lesson 8-6 Multiplying Polynomials 170
Lesson 8-7 Special Products 173
Lesson 8-8 Dividing Polynomials by Monomials 176
Lesson 8-9 Factoring Techniques 177
Lesson 8-10 Solving Factored Equations 180
Chapter 9 Quadratic Equations 185
Lesson 9-1 Square Roots 185
Lesson 9-2 The Difference Between Two Squares 188
Lesson 9-3 Factoring Quadratic Expressions of the Form X2 + bx + c 193
Lesson 9-4 Factoring Quadratic Expressions in General 197
Lesson 9-5 Solving Quadratic Equations by Factoring 200
Lesson 9-6 Solving Quadratic Equations by Completing the Square 202
Lesson 9-7 Solving Quadratic Equations Using the Quadratic Formula 206
Chapter 10 Rational Expressions 213
Lesson 10-1 Simplifying Rational Expressions 213
Lesson 10-2 Multiplying Rational Expressions 216
Lesson 10-3 Dividing Rational Expressions 217
Lesson 10-4 Adding and Subtracting Rational Expressions 219
Chapter 11 Applications 225
Lesson 11-1 How to Approach Word Problems 225
Lesson 11-2 Rates and Percentages 227
Lesson 11-3 Finding Integers 229
Lesson 11-4 Rate, Time, and Distance Problems 232
Lesson 11-5 Money Problems 234
Lesson 11-6 Mixture Problems 236
Final Exam 241
Index 251
About the Author 255
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Add Homework Helpers: Algebra, The essential help you need when your textbook just isn't making the grade! Homework Helpers: Algebra is the latest book in the popular series designed to help you master the material and tackle the tests. It covers all of the topics in a, Homework Helpers: Algebra to the inventory that you are selling on WonderClubX
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Add Homework Helpers: Algebra, The essential help you need when your textbook just isn't making the grade! Homework Helpers: Algebra is the latest book in the popular series designed to help you master the material and tackle the tests. It covers all of the topics in a, Homework Helpers: Algebra to your collection on WonderClub |