Table of Contents

Chapter 0 Preparing for Advanced Algebra
 01 Representing Functions
 02 FOIL
 03 Factoring Polynomials
 04 Counting Techniques
 05 Adding Probabilities
 06 Multiplying Probabilities
 07 Congruent and Similar Figures
 08 The Pythagorean Theorem
 09 Measures of Center, Spread, and Position

Unit 1 Linear Relations and Functions

Chapter 1 Equations and Inequalities
 11 Expressions and Formulas
 12 Properties of Real Numbers

13 Solving Equations
 Properties of Equality
 Onestep Equations: Multiplication and Division
 Onestep Equations: Addition and Subtraction
 Multistep Equations
 Reforming Equations for a Specific Variable
 Linear Equations with Variables on Both Sides
 Solving Equations with Rational Numbers
 Introduction to Equations
 Writing Algebraic Expressions
 14 Solving Absolute Value Equations
 15 Solving Inequalities
 16 Solving Compound and Absolute Value Inequalities

Chapter 2 Linear Relations and Functions
 21 Relations and Functions
 22 Linear Relations and Functions
 23 Rate of Change and Slope
 24 Writing Linear Equations
 25 Scatter Plots and Lines of Regression
 26 Special Functions
 27 Parent Functions and Transformations
 28 Graphing Linear and Absolute Value Inequalities

Chapter 3 Systems of Equations and Inequalities
 31 Solving Systems of Equations
 32 Solving Systems of Inequalities by Graphing
 33 Optimization with Linear Programming
 34 Systems of Equations in Three Variables
 35 Operations with Matrices
 36 Multiplying Matrices
 37 Solving Systems of Equations Using Cramer’s Rule
 38 Solving Systems of Equations Using Inverse Matrices

Chapter 1 Equations and Inequalities

Unit 2 Quadratic, Polynomial, and Radical Functions and Relations

Chapter 4 Quadratic Functions and Relations
 41 Graphing Quadratic Functions
 42 Solving Quadratic Equations by Graphing
 43 Solving Quadratic Equations by Factoring
 44 Complex Numbers
 45 Completing the Square
 46 The Quadratic Formula and the Discriminant
 47 Transformations of Quadratic Graphs
 48 Quadratic Inequalities

Chapter 5 Polynomials and Polynomial Functions
 51 Operations with Polynomials
 52 Dividing Polynomials
 53 Polynomial Functions
 54 Analyzing Graphs of Polynomial Functions
 55 Solving Polynomial Equations
 56 The Remainder and Factor Theorems
 57 Roots and Zeros
 58 Rational Zero Theorem

Chapter 6 Inverses and Radical Functions and Relations
 61 Operations on Functions
 62 Inverse Functions and Relations
 63 Square Root Functions and Inequalities
 64 𝑛th Roots
 65 Operations with Radical Expressions
 66 Rational Exponents
 67 Solving Radical Equations and Inequalities

Chapter 4 Quadratic Functions and Relations

Unit 3 Advanced Functions and Relations

Chapter 7 Exponential and Logarithmic Functions and Relations
 71 Graphing Exponential Functions
 72 Solving Exponential Equations and Inequalities
 73 Logarithms and Logarithmic Functions
 74 Solving Logarithmic Equations and Inequalities
 75 Properties of Logarithms
 76 Common Logarithms
 77 Base 𝑒 and Natural Logarithms
 78 Using Exponential and Logarithmic Functions

Chapter 8 Rational Functions and Relations
 81 Multiplying and Dividing Rational Expressions
 82 Adding and Subtracting Rational Expressions
 83 Graphing Reciprocal Functions
 84 Graphing Rational Functions
 85 Variation Functions
 86 Solving Rational Equations and Inequalities

Chapter 9 Conic Sections
 91 Midpoint and Distance Formulas
 92 Parabolas
 93 Circles
 94 Ellipses
 95 Hyperbolas
 96 Identifying Conic Sections
 97 Solving LinearNonlinear Systems

Chapter 7 Exponential and Logarithmic Functions and Relations

Unit 4 Discrete Mathematics

Chapter 10 Sequences and Series
 101 Sequences as Functions
 102 Arithmetic Sequences and Series
 103 Geometric Sequences and Series
 104 Infinite Geometric Series
 105 Recursion and Iteration
 106 The Binomial Theorem
 107 Proof by Mathematical Induction

Chapter 11 Statistics and Probability
 111 Designing a Study
 112 Distributions of Data
 113 Probability Distributions
 114 The Binomial Distribution
 115 The Normal Distribution
 116 Confidence Intervals and Hypothesis Testing

Chapter 10 Sequences and Series

Unit 5 Trigonometry

Chapter 12 Trigonometric Functions
 121 Trigonometric Functions in Right Triangles
 122 Angles and Angle Measure
 123 Trigonometric Functions of General Angles
 124 Law of Sines
 125 Law of Cosines
 126 Circular and Periodic Functions
 127 Graphing Trigonometric Functions
 128 Translations of Trigonometric Graphs
 129 Inverse Trigonometric Functions

Chapter 13 Trigonometric Identities and Equations
 131 Trigonometric Identities
 132 Verifying Trigonometric Identities
 133 Sum and Difference of Angles Identities
 134 DoubleAngle and HalfAngle Identities
 135 Solving Trigonometric Equations

Chapter 12 Trigonometric Functions