Table of Contents

Chapter 0 Preparing for Advanced Algebra
 Locating Points on the Coordinate Plane
 Representing Relations
 Relations and Functions
 Multiplying Binomials
 Factoring Nonmonic Quadratics
 Difference of Two Squares
 Fundamental Counting Principle
 Theoretical Probability
 Experimental Probability
 Compound Events
 Conditional Probability: TwoWay Tables
 Congruent Polygons
 Similar Triangles
 Similarity of Solids
 Conditions for Similar Triangles
 The Pythagorean Theorem
 The Converse of the Pythagorean Theorem
 The Median of a Data Set
 The Mode of a Data Set
 The Range of a Data Set
 Mean, Median, and Mode
 The Mean of a Data Set
 Variance and Standard Deviation
 Outliers of a Data Set

Chapter 1 Linear Equations
 Writing Algebraic Expressions
 Properties of Equality
 Onestep Equations: Addition and Subtraction
 Onestep Equations: Multiplication and Division
 Introduction to Equations
 Multistep Equations
 Reforming Equations for a Specific Variable
 Onestep Inequalities: Addition or Subtraction
 Onestep Inequalities: Multiplication or Division
 Multistep Inequalities
 Slope and Rate of Change
 Equation of a Straight Line: General Form
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Slopes of Parallel and Perpendicular Lines
 Equations of Parallel and Perpendicular Lines
 TwoVariable Linear Inequalities
 Solving Systems of Linear Equations Graphically
 Consistency and Dependency of Linear Systems
 Solving Systems of Linear Equations Using Substitution
 Solving Systems of Linear Equations Using Elimination
 Applications on Systems of Linear Equations
 Solving Systems of Linear Inequalities
 Applications on Systems of Inequalities
 Linear Programming
 Systems of Linear Equations in Three Variables
 Applications on Systems of Linear Equations in Three Variables

Chapter 2 Relations and Functions
 Evaluating Functions
 Linear Relationships
 Linear and Nonlinear Functions
 Extrema of a Function Graph
 Domain and Range of a Piecewise Function
 Graphs of Piecewise Functions
 Step Functions
 TwoVariable Absolute Value Inequalities
 Absolute Value Functions
 Function Transformations: Dilation
 Function Transformations: Translations
 Slopes and Intercepts of Linear Functions
 Intercepts and Symmetry of Graphs of Functions

Chapter 3 Quadratic Functions
 Features of Quadratic Functions
 Graphing Quadratic Functions
 Solving Quadratic Equations Graphically
 Introduction to Complex Numbers
 Pure Imaginary Numbers
 Equating, Adding, and Subtracting Complex Numbers
 Multiplying Complex Numbers
 Factoring Monic Quadratics
 Factoring by Grouping
 Factoring PerfectSquare Trinomials
 Solving Quadratics: Completing the Square
 OneVariable Quadratic Inequalities

Chapter 4 Polynomials and Polynomial Functions
 Simplifying Expressions: Rules of Exponents
 Identifying Polynomials
 Simplifying Expressions: Combining Like Terms
 Rewriting Expressions Using the Distributive Property
 Pascal's Triangle and the Binomial Theorem
 The Binomial Theorem
 Dividing Polynomials by Monomials
 Polynomial Long Division without Remainder
 Polynomial Long Division with Remainder
 Polynomial Functions
 Graphs of Polynomial Functions
 Sum and Difference of Two Cubes
 Polynomial Equations
 Remainder and Factor Theorem with Synthetic Division
 Descartes' Rule of Signs
 Forming a Quadratic Equation from its Roots
 Chapter 5 Inverses and Radical Functions

Chapter 6 Exponential and Logarithmic Functions
 Graphs of Exponential Functions
 Solving Exponential Equations Using Exponent Properties
 Exponential Functions
 Compound Interest
 Sum of a Finite Geometric Sequence
 Converting between Logarithmic and Exponential Forms
 Evaluating Logarithms
 Graphs of Logarithmic Functions
 Logarithmic Functions
 Logistic Regression Model
 Logarithmic Equations with Like Bases
 Solving Exponential Equations Using Logarithms
 Simplifying Natural Logarithmic Expressions
 Natural Exponential Equations
 Exponential Inequalities
 Exponential Growth and Decay

Chapter 7 Rational Functions
 Simplifying Algebraic Fractions
 Multiplying and Dividing Rational Functions
 Simplifying Fractions Using Division with Models
 Adding and Subtracting Rational Functions
 Rational Functions
 Graphs of Rational Functions
 Horizontal and Vertical Asymptotes of a Function
 Direct Variation
 Inverse Variation
 Joint Variation
 Combined Variation
 Rational Equations
 Rational Inequalities
 Chapter 8 Statistics and Probability

Chapter 9 Trigonometric Functions
 Trigonometric Ratios in Right Triangles
 Right Triangle Trigonometry: Solve for an Angle
 Right Triangle Trigonometry: Solve for a Side
 Angles of Elevation and Depression
 Angles in Standard Position
 Conversion between Radians and Degrees
 Arc Length of Parametric Curves
 Signs of Trigonometric Functions in Quadrants
 Trigonometric Functions Values with Reference Angles
 Trigonometric Ratios on the Unit Circle
 Evaluating Trigonometric Functions with Special Angles
 The Graphs of Reciprocal Trigonometric Functions
 Amplitude and Period of Trigonometric Functions
 Modeling with Trigonometric Functions
 Graphs of Trigonometric Functions
 Transformation of Trigonometric Functions
 Graphing Periodic Functions
 Chapter 10 Trigonometric Identities and Equations