Table of Contents

Chapter 1 Expressions, Equations, and Inequalities
 Growing Shape Patterns
 Visual Patterns
 Estimating Radicals Using Number Lines
 Operations on Real Numbers
 Writing Algebraic Expressions
 Evaluating Algebraic Expressions
 Simplifying Expressions: Combining Like Terms
 Onestep Equations: Addition and Subtraction
 Replacement Set
 Solving Equations with Rational Numbers
 TwoStep Equations
 Onestep Equations: Multiplication and Division
 Multistep Equations
 Linear Equations with Variables on Both Sides
 Absolute Value Equations
 OneVariable Absolute Value Inequalities

Chapter 2 Functions, Equations, and Graphs
 Representing Relations
 Relations and Functions
 Direct Variation
 Slope of a Line through Two Points
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: General Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Linear Functions in Different Forms
 Graphing Linear Functions
 Equations of Parallel and Perpendicular Lines
 Function Transformations: Dilation
 Chapter 3 Linear Systems

Chapter 4 Quadratic Functions and Equations
 Graphing Quadratic Functions
 Quadratic Functions in Different Forms
 Features of Quadratic Functions
 Factoring PerfectSquare Trinomials
 Factoring Monic Quadratics
 Factoring Nonmonic Quadratics
 Difference of Two Squares
 Solving Quadratic Equations Graphically
 Solving Quadratic Equations: Taking Square Roots
 Completing the Square
 Solving Quadratics: Completing the Square
 Solving Quadratic Equations: Quadratic Formula
 Discriminants of Quadratics
 Introduction to Complex Numbers
 Argand Diagram
 Equating, Adding, and Subtracting Complex Numbers
 Multiplying Complex Numbers
 Solving Quadratic Equation with Complex Roots
 LinearQuadratic Systems of Equations
 Solving Systems of Quadratic Equations
 OneVariable Quadratic Inequalities

Chapter 5 Polynomials and Polynomial Functions
 Identifying Polynomials
 Degree and Coefficient of Polynomials
 Graphing Cubic Functions
 Zeros of Polynomial Functions
 Forming a Quadratic Equation from its Roots
 Linear Factorization and Conjugate Root Theorems
 Graphs of Polynomial Functions
 Roots of Cubic Functions
 Polynomial Long Division with Remainder
 Polynomial Long Division without Remainder
 Remainder and Factor Theorem with Synthetic Division
 Rational Zeros Theorem
 Descartes' Rule of Signs
 Pascal's Triangle and the Binomial Theorem
 Chapter 6 Radical Functions and Rational Exponents

Chapter 7 Exponential and Logarithmic Functions
 Exponential Growth and Decay
 Exponential Growth and Decay Models
 Graphs of Exponential Functions
 Compound Interest
 Converting between Logarithmic and Exponential Forms
 Graphs of Logarithmic Functions
 Laws of Logarithms
 Solving Exponential Equations Using Exponent Properties
 Solving Exponential Equations Using Logarithms
 Logarithmic Equations with Like Bases
 Logarithmic Equations with Different Bases
 Simplifying Natural Logarithmic Expressions
 Natural Logarithmic Equations
 Chapter 8 Rational Functions

Chapter 9 Sequences and Series
 Recursive Formula of a Sequence
 Calculations with Arithmetic Sequences
 Finding the Arithmetic Sequence
 Using Arithmetic Sequence Formulas
 Applications of Arithmetic Sequences
 Arithmetic Mean
 Geometric Sequences
 Finding the nth Term of a Geometric Sequence
 Arithmetic Series
 Sigma Notation
 Sum of a Finite Geometric Sequence
 Infinite Geometric Series
 Chapter 10 Quadratic Relations and Conic Sections

Chapter 11 Probability and Statistics
 Properties of Permutations
 Counting Using Permutations
 Properties of Combinations
 Counting Using Combinations
 Experimental Probability
 Theoretical Probability
 Geometric Probability
 Complementary Events
 Conditional Probability
 Tree Diagrams
 The Median of a Data Set
 The Mode of a Data Set
 Outliers of a Data Set
 Best Measure of Central Tendency
 BoxandWhisker Plots
 Variance and Standard Deviation
 Binomial Distribution
 Normal Distribution

Chapter 12 Matrices
 Adding and Subtracting Matrices
 Equal Matrices
 Scalar Multiplication of Matrices
 Matrix Multiplication
 Properties of Matrix Multiplication
 TwobyTwo Determinants
 ThreebyThree Determinants
 Inverse of a 2x2 Matrix
 Inverse of a Matrix: The Adjoint Method
 Solving a System of Two Equations Using a Matrix Inverse
 Solving a System of Three Equations Using a Matrix Inverse
 Linear Transformation Definition
 Components of a Vector
 Graphical Operations on Vectors
 Vector Operations in 2D
 Chapter 13 Periodic Functions and Trigonometry
 Chapter 14 Trigonometric Identities and Equations