## Course Contents at a Glance The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents.

## Module 1: Whole Numbers

• Whole Number Basics
• Subtracting Whole Numbers
• Multiplying Whole Numbers
• Dividing Whole Numbers

## Module 2: The Language of Algebra

• Using the Language of Algebra
• Evaluating, Simplifying, and Translating Algebraic Expressions
• Solving One-Step Equations Using Whole Numbers
• Finding Multiples and Factors
• Prime Factorization and the Least Common Multiple

## Module 3: Integers

• Identifying and Writing Integers
• Subtracting Integers
• Multiplying and Dividing Integers
• Solving One-Step Equations Using Integers

## Module 4: Fractions

• Representing Parts of a Whole as Fractions
• Multiplying and Dividing Fractions
• Multiplying and Dividing Mixed Numbers and Complex Fractions
• Adding and Subtracting Fractions with Common Denominators
• Adding and Subtracting Fractions with Different Denominators
• Adding and Subtracting Mixed Numbers
• Solving Equations Containing Fractions

## Module 5: Decimals

• Writing and Identifying Characteristics of Decimals
• Operations on Decimals
• Exploring the Relationship Between Decimals and Fractions
• Solving Equations Containing Decimals

## Module 6: Ratios, Rates, Probabilities, and Averages

• Finding Averages and Basic Probabilities
• Writing Ratios and Calculating Rates
• Simplifying and Using Square Roots

## Module 7: Percents

• Writing Percents Using Words, Ratios, and Fractions
• Solving General Applications of Percents
• Solving Sales Tax, Commission, and Discount Applications
• Solving Simple Interest Applications
• Solving Applications of Proportions

## Module 8: Geometry

• Using Properties of Angles, Triangles, and the Pythagorean Theorem
• Using Properties of Rectangles, Triangles, and Trapezoids
• Solving Problems With Circles and Irregular Figures
• Solving Problems Using Volume and Surface Area
• Systems of Measurement

## Module 9: Real Numbers

• Classes of Real Numbers
• Using the Commutative and Associative Properties
• Using the Distributive Property
• Properties of Identity, Inverses, and Zero

## Module 10: Linear Equations

• Solving Equations Using the Properties of Equality
• Problem Solving Strategies for Word Problems
• Solving Word Problems Containing Decimals
• Using Formulas to Solve Word Problems

## Module 11: Linear Inequalities

• Solving Single- and Multi-Step Inequalities
• Solving Compound Inequalities

## Module 12: Exponents

• Applying Exponent Rules
• Scientific Notation

## Module 13: Polynomials

• Defining Polynomials
• Performing Operations on Polynomials
• Dividing Polynomials
• Polynomials in Applications

## Module 14: Factoring

• Solving Simple Polynomial Equations
• Factoring Methods
• Factoring Special Cases

## Module 15: Graphs

• The Coordinate Plane
• Finding Slope
• Using Intercepts to Graph Lines
• Writing Equations of Lines
• Graphing Linear Inequalities
• Applications of Graphs

## Module 16: Linear Systems

• Solutions to Systems of Equations
• Algebraic Methods for Solving Systems
• Systems of Equations in Three Variables
• Problem Solving with Systems
• Systems of Linear Inequalities

## Module 17: Rational Expressions and Equations

• Operations With Rational Expressions
• Rational Equations and Their Applications
• Variation

## Module 18: Roots and Rational Exponents

• Simplifying Roots
• Simplifying Expressions with Radicals and Rational Exponents
• Algebraic Operations with Radical Expressions

## Module 19: Quadratic Equations and Complex Numbers

• Complex Numbers
• Quadratic Equations with Complex Solutions

## Module 20: Linear Functions and Function Notation

• Functions
• Linear Functions
• Domain and Range

## Module 21: Quadratic, Polynomial, and Piecewise Functions

• Piecewise Functions
• Polynomial Functions

## Module 22: Exponential and Logarithmic Functions

• Exponential Functions
• Logarithmic Functions

## Module 23: Exponential and Logarithmic Equations

• Logarithmic Properties
• Exponential and Logarithmic Equations

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