Table of Contents
Register Your Book Online! viii
About This Book x
1 Fundamentals: Terminology and Properties … 1
Lesson 1.1 Understanding Expressions 2
Lesson 1.2 Mathematical Properties 7
Lesson 1.3 Exact Answers, Approximate Answers, and Estimation 15
2 Exponents and Sequences 27
Lesson 2.1 Exponents 28
Lesson 2.2 Sequences 41
3 Polynomial Expressions 67
Lesson 3.1 Introduction to Polynomial Expressions 68
Lesson 3.2 Adding and Subtracting Polynomial Expressions 73
Lesson 3.3 Multiplying Polynomial Expressions 76
Lesson 3.4 Factoring Polynomial Expressions 83
4 Equations and Inequalities 99
Lesson 4.1 Single-Variable Linear Equations 100
Lesson 4.2 Single-Variable Inequalities 105
Lesson 4.3 Equivalent Equations 111
Lesson 4.4 Two-Variable Linear Equations 115
Lesson 4.5 Exponential Equations 127
5 Systems of Equations and Inequalities 143
Lesson 5.1 Systems of Equations 144
Lesson 5.2 Parallel and Perpendicular Lines 159
Lesson 5.3 Solving Linear Inequalities 164
6 Quadratic Equations and Inequalities 193
Lesson 6.1 Introduction to Quadratic Equations 194
Lesson 6.2 The Quadratic Formula 203
Lesson 6.3 Quadratic Inequalities 209
Lesson 6.4 Systems of Linear and Quadratic Equations 214
7 Function Basics 235
Lesson 7.1 Function Fundamentals 236
Lesson 7.2 Intervals and Interval Notation 246
Lesson 7.3 Graphical Representations of Functions 250
Lesson 7.4 Graphing Functions 258
8 Quadratic Functions 271
Lesson 8.1 Introduction to Quadratic Functions 272
Lesson 8.2 Solving Quadratic Functions 275
9 Manipulating Functions 311
Lesson 9.1 Functions: A Review of the Basics 312
Lesson 9.2 Vertical and Horizontal Translations 313
Lesson 9.3 Reflections 320
Lesson 9.4 Vertical and Horizontal Scaling 327
10 Other Functions 343
10 Other Functions 343
Lesson 10.1 Absolute Value, Piecewise, and Step Functions 344
Lesson 10.2 Inverse Functions 357
A Few Final Thoughts 383