Table of Contents

Operations and Expressions
 Order of Operations: Evaluate Numerical Expressions
 Order of Operations: Exponents
 Order of Operations: Decimals
 Writing Algebraic Expressions
 Evaluating Algebraic Expressions
 Properties of Operations over the Real Numbers
 Evaluating Numerical Expressions: Distributive Property
 Dependent and Independent Variables
 Linear Relationships
 Relations and Functions
 Sets

Linear Equations and Inequalities
 Introduction to Equations
 TwoStep Equations
 Linear Equations with Variables on Both Sides
 Absolute Value Equations
 Introduction to Inequalities
 Determining Whether an Inequality Is True or False
 TwoStep Linear Inequalities
 Inequalities and Interval Notation
 Multistep Inequalities
 OneVariable Absolute Value Inequalities
 Multistep Equations
 Replacement Set
 Changing the Subject of a Formula
 Ratio and Proportion

Systems of Linear Equations and Inequalities
 Solution Cases of System of Linear Equations
 Solving Systems of Linear Equations Using Substitution
 Solving Systems of Linear Equations by Omitting a Variable
 Solving Systems of Linear Equations Graphically
 Applications on Systems of Linear Equations
 Applications on Systems of Linear Equations in Three Variables
 Linear Programming
 Solving Systems of Linear Inequalities
 Applications on Systems of Inequalities
 TwoVariable Linear Inequalities

Linear Functions
 Function Rules
 Linear Functions
 Linear and Nonlinear Functions
 Graphing Linear Functions
 Solving Linear Equations Using Function Graphs
 Slope and Rate of Change
 Slope of a Line from a Graph or a Table
 Slope of a Line through Two Points
 Slopes and Intercepts of Linear Functions
 Linear Functions in Different Forms
 Equation of a Straight Line: Slope–Intercept Form
 Equation of a Straight Line: Standard and Point–Slope Forms
 Equation of a Straight Line: General Form
 Applications of Linear Functions
 Correlation and Scatter Plots

Exponents and Exponential Functions
 Power and Exponents over the Real Numbers
 Laws of Exponents over the Real Numbers
 Simplifying Expressions: Rules of Exponents
 Fractional Exponents
 Simplifying Algebraic Expressions: Negative and Fractional Exponents
 Simplifying Exponential Expressions with Rational Exponents
 Scientific Notation
 Number Operations in Scientific Notation
 Exponential Functions
 Graphs of Exponential Functions
 Applications of Exponential Functions
 Compound Interest
 Exponential Growth and Decay
 Exponential Growth and Decay Models
 Sequences

Polynomials
 Identifying Polynomials
 Monomials, Binomials, and Trinomials
 Degree and Coefficient of Polynomials
 Simplifying Expressions: Combining Like Terms
 Distributive Property Applications
 Multiplying Polynomials Using Area Models
 Simplifying Monomials: Multiplication
 Multiplying an Algebraic Expression by a Monomial
 Multiplying Binomials
 Multiplying a Binomial by an Algebraic Expression
 Simplifying Monomials: Quotient Rule
 Expanding an Expression to a Difference of Two Squares
 The Greatest Common Factor of Monomials
 Factoring Using the Highest Common Factor
 Factoring Monic Quadratics
 Factoring Perfect Square Trinomials
 Factoring by Grouping
 Factoring Nonmonic Quadratics
 Completing the Square

Quadratic Functions
 Difference of Two Squares
 Sum and Difference of Two Cubes
 Graphing Quadratic Functions
 Features of Quadratic Functions
 Solving Quadratic Equations Graphically
 Solving Quadratic Equations: Taking Square Roots
 Solving Quadratics: Completing the Square
 Solving Quadratic and QuadraticLike Equations by Factoring
 Solving Quadratic Equations: Factoring
 Solving Quadratic Equations: Quadratic Formula
 Applications of Quadratic Equations
 Quadratic Functions in Different Forms
 Discriminants of Quadratics
 Solving Systems of Quadratic Equations
 Linear–Quadratic Systems of Equations
 Combining Functions

Statistics
 Dot Plots
 Line Graphs
 Bar Graphs with Nonunit Scales
 Frequency Tables
 Histograms
 Quartiles of a Data Set
 Mean, Median, and Mode
 Best Measure of Central Tendency
 Range of a Data Set
 Comparing Data
 Interquartile Range
 BoxandWhisker Plots
 Comparing Two Distributions Using Box Plots
 Cumulative Frequency Graphs
 Outliers of a Data Set
 Standard Deviation of a Data Set
 Sample and Population Standard Deviation
 Biased versus Unbiased Samples
 StemandLeaf Plots