Table of Contents

1 Solving Equations and Inequalities
 11 Operations on Real Numbers
 12 Solving Linear Equations
 13 Solving Equations with a Variable on Both Sides
 14 Literal Equations and Formulas
 15 Solving Inequalities in One Variable
 16 Compound Inequalities
 17 Absolute Value Equations and Inequalities

2 Linear Equations
 21 SlopeIntercept Form
 22 PointSlope Form
 23 Standard Form
 24 Parallel and Perpendicular Lines

3 Linear Functions
 31 Relations and Functions
 32 Linear Functions
 33 Transforming Linear Functions
 34 Arithmetic Sequences
 35 Scatter Plots and Lines of Fit
 36 Analyzing Lines of Fit

4 Systems of Linear Equations and Inequalities
 41 Solving Systems of Equations by Graphing
 42 Solving Systems of Equations by Substitution
 43 Solving Systems of Equations by Elimination
 44 Linear Inequalities in Two Variables
 45 Systems of Linear Inequalities

5 Piecewise Functions
 51 The Absolute Value Function
 52 PiecewiseDefined Functions
 53 Step Functions
 54 Transformations of PiecewiseDefined Functions

6 Exponents and Exponential Functions
 61 Rational Exponents and Properties of Exponents
 62 Exponential Functions
 63 Exponential Growth and Decay
 64 Geometric Sequences
 65 Transformations of Exponential Functions

7 Polynomials and Factoring
 71 Adding and Subtracting Polynomials
 72 Multiplying Polynomials
 73 Multiplying Special Cases
 74 Factoring Polynomials
 75 Factoring 𝑥² + 𝑏𝑥 + 𝑐
 76 Factoring 𝑎𝑥² +𝑏𝑥 + 𝑐
 77 Factoring Special Cases

8 Quadratic Functions
 81 Key Features of Graphs of a Quadratic Function
 82 Quadratic Functions in Vertex Form
 83 Quadratic Functions in Standard Form
 84 Modeling with Quadratic Functions
 85 Comparing Linear, Exponential, and Quadratic Models

9 Solving Quadratic Equations
 91 Solving Quadratic Equations Using Graphs and Tables
 92 Solving Quadratic Equations by Factoring
 93 Rewriting Radical Expressions
 94 Solving Quadratic Equations Using Square Roots
 95 Completing the Square
 96 The Quadratic Formula and the Discriminant
 97 Solving Nonlinear Systems of Equations

10 Working with Functions
 101 The Square Root Function
 102 The Cube Root Function
 103 Analyzing Functions Graphically
 104 Translations of Functions
 105 Compressions and Stretches of Functions
 106 Operations with Functions
 107 Inverse Functions

11 Statistics
 111 Analyzing Data Displays
 112 Comparing Data Sets
 113 Interpreting the Shapes of Data Displays
 114 Standard Deviation
 115 TwoWay Frequency Tables