Table of Contents

Chapter 1 Foundations for Algebra
 11 Variables and Expressions
 12 Order of Operations and Evaluating Expressions
 13 Real Numbers and the Number Line
 14 Properties of Real Numbers
 15 Adding and Subtracting Real Numbers
 16 Multiplying and Dividing Real Numbers
 17 The Distributive Property
 18 An Introduction to Equations
 19 Patterns, Equations, and Graphs

Chapter 2 Solving Equations
 21 Solving OneStep Equations
 22 Solving TwoStep Equations
 23 Solving MultiStep Equations
 24 Solving Equations with Variables on Both Sides
 25 Literal Equations and Formulas
 26 Ratios, Rates, and Conversions
 27 Solving Proportions
 28 Proportions and Similar Figures
 29 Percents
 210 Change Expressed as a Percent

Chapter 3 Solving Inequalities
 31 Inequalities and Their Graphs
 32 Solving Inequalities Using Addition or Subtraction
 33 Solving Inequalities Using Multiplication or Division
 34 Solving MultiStep Inequalities
 35 Working with Sets
 36 Compound Inequalities
 37 Absolute Value Equations and Inequalities
 38 Unions and Intersections of Sets

Chapter 4 An Introduction to Functions
 41 Using Graphs to Relate Two Quantities
 42 Patterns and Linear Functions
 43 Patterns and Nonlinear Functions
 44 Graphing a Function Rule
 45 Writing a Function Rule
 46 Formalizing Relations and Functions
 47 Arithmetic Sequences

Chapter 5 Linear Functions
 51 Rate of Change and Slope
 52 Direct Variation
 53 SlopeIntercept Form
 54 PointSlope Form
 55 Standard Form
 56 Parallel and Perpendicular Lines
 57 Scatter Plots and Trend Lines
 58 Graphing Absolute Value Functions

Chapter 6 Systems of Equations and Inequalities
 61 Solving Systems by Graphing
 62 Solving Systems Using Substitution
 63 Solving Systems Using Elimination
 64 Applications of Linear Systems
 65 Linear Inequalities
 66 Systems of Linear Inequalities

Chapter 7 Exponents and Exponential Functions
 71 Zero and Negative Exponents
 72 Multiplying Powers with the Same Base
 73 More Multiplication Properties of Exponents
 74 Division Properties of Exponents
 75 Rational Exponents and Radicals
 76 Exponential Functions
 77 Exponential Growth and Decay
 78 Geometric Sequences

Chapter 8 Polynomials and Factoring
 81 Adding and Subtracting Polynomials
 82 Multiplying and Factoring
 83 Multiplying Binomials
 84 Multiplying Special Cases
 85 Factoring 𝑥² + 𝑏𝑥 + 𝑐
 86 Factoring 𝑎𝑥² + 𝑏𝑥 + 𝑐
 87 Factoring Special Cases
 88 Factoring by Grouping

Chapter 9 Quadratic Functions and Equations
 91 Quadratic Graphs and Their Properties
 92 Quadratic Functions
 93 Solving Quadratic Equations
 94 Factoring to Solve Quadratic Equations
 95 Completing the Square
 96 The Quadratic Formula and the Discriminant
 97 Linear, Quadratic, and Exponential Models
 98 Systems of Linear and Quadratic Equations

Chapter 10 Radical Expressions and Equations
 101 Pythagorean Theorem
 102 Simplifying Radicals
 103 Operations with Radical Expressions
 104 Solving Radical Equations
 105 Graphing Square Root Functions
 106 Trigonometric Ratios

Chapter 11 Rational Expressions and Functions
 111 Simplifying Rational Expressions
 112 Multiplying and Dividing Rational Expressions
 113 Dividing Polynomials
 114 Adding and Subtracting Rational Expressions
 115 Solving Rational Equations
 116 Inverse Variation
 117 Graphing Rational Functions

Chapter 12 Data Analysis and Probability
 121 Organizing Data Using Matrices
 122 Frequency and Histograms
 123 Measures of Central Tendency and Dispersion
 124 BoxandWhisker Plots
 125 Samples and Surveys
 126 Permutations and Combinations
 127 Theoretical and Experimental Probability
 128 Probability of Compound Events