
Expressions, Equations, and Functions
 Variable Expressions
 Expressions with One or More Variables
 PEMDAS
 Algebra Expressions with Fraction Bars
 Patterns and Expressions
 Words that Describe Patterns
 Equations that Describe Patterns
 Inequalities that Describe Patterns
 Function Notation
 Domain and Range of a Function
 Functions that Describe Situations
 Functions on a Cartesian Plane
 Vertical Line Test
 ProblemSolving Models
 Trends in Data

Properties of Real Numbers
 Properties of Rational Numbers
 Additive Inverses and Absolute Values
 Addition of Integers
 Addition of Rational Numbers
 Subtraction of Rational Numbers
 Multiplication of Rational Numbers
 Mixed Numbers in Applications
 Expressions and the Distributive Property
 When to Use the Distributive Property
 Division of Rational Numbers
 Applications of Reciprocals
 Square Roots and Irrational Numbers
 Order of Real Numbers
 Guess and Check, Work Backward

Linear Equations
 OneStep Equations and Inverse Operations
 Applications of OneStep Equations
 TwoStep Equations and Properties of Equality
 MultiStep Equations with Like Terms
 Distributive Property for MultiStep Equations
 Equations with Variables on Both Sides
 Equations with Ratios and Proportions
 Scale and Indirect Measurement Applications
 Conversion of Decimals, Fractions, and Percent
 Percent Equations
 Percent of Change
 Formulas for Problem Solving

Graphs of Linear Equations and Functions
 Graphs in the Coordinate Plane
 Graphs of Linear Equations
 Horizontal and Vertical Line Graphs
 Applications of Linear Graphs
 Intercepts by Substitution
 Intercepts and the CoverUp Method
 Slope
 Rates of Change
 SlopeIntercept Form
 Graphs Using SlopeIntercept Form
 Direct Variation
 Applications Using Direct Variation
 Function Notation and Linear Functions
 Graphs of Linear Functions
 Problem Solving with Linear Graphs

Forms of Linear Equations
 Write an Equation Given the Slope and a Point
 Write an Equation Given Two Points
 Write a Function in SlopeIntercept Form
 Linear Equations in PointSlope Form
 Forms of Linear Equations
 Applications Using Linear Models
 Equations of Parallel Lines
 Equations of Perpendicular Lines
 Families of Lines
 Fitting Lines to Data
 Linear Interpolation and Extrapolation
 Problem Solving with Linear Models
 Dimensional Analysis

Linear Inequalities and Absolute Value
 Inequality Expressions
 Inequalities with Addition and Subtraction
 Inequalities with Multiplication and Division
 MultiStep Inequalities
 Compound Inequalities
 Applications with Inequalities
 Absolute Value
 Absolute Value Equations
 Graphs of Absolute Value Equations
 Absolute Value Inequalities
 Linear Inequalities in Two Variables
 Theoretical and Experimental Probability

Systems of Equations and Inequalities

Exponents and Exponential Functions
 Exponential Properties Involving Products
 Exponential Properties Involving Quotients
 Negative Exponents
 Fractional Exponents
 Scientific Notation
 Scientific Notation with a Calculator
 Exponential Growth
 Exponential Decay
 Geometric Sequences and Exponential Functions
 Applications of Exponential Functions

Polynomials and Factoring
 Polynomials in Standard Form
 Addition and Subtraction of Polynomials
 Multiplication of Monomials by Polynomials
 Multiplication of Polynomials by Binomials
 Special Products of Polynomials
 Monomial Factors of Polynomials
 Zero Product Principle
 Factorization of Quadratic Expressions
 Factor Polynomials Using Special Products
 Factoring by Grouping
 Factoring Completely
 Probability of Compound Events

Quadratic Equations and Functions
 Quadratic Functions and Their Graphs
 Vertical Shifts of Quadratic Functions
 Use Graphs to Solve Quadratic Equations
 Use Square Roots to Solve Quadratic Equations
 Completing the Square
 Vertex Form of a Quadratic Equation
 Quadratic Formula
 Comparing Methods for Solving Quadratics
 Solutions Using the Discriminant
 Linear, Exponential, and Quadratic Models
 Applications of Function Models

Radicals and Geometry Connections
 Graphs of Square Root Functions
 Simplification of Radical Expressions
 Addition and Subtraction of Radicals
 Multiplication and Division of Radicals
 Radical Equations
 Pythagorean Theorem and its Converse
 Distance Formula
 Midpoint Formula
 Measures of Central Tendency and Dispersion
 StemandLeaf Plots
 BoxandWhisker Plots

Rational Equations and Functions
 Inverse Variation Models
 Graphs of Rational Functions
 Division of Polynomials
 Excluded Values for Rational Expressions
 Multiplication of Rational Expressions
 Division of Rational Expressions
 Addition and Subtraction of Rational Expressions
 Rational Equations Using Proportions
 Clearing Denominators in Rational Equations
 Surveys and Samples