Course Contents at a Glance

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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
  • Adding Whole Numbers
  • 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
  • Adding 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
  • Solving Equations Containing Radicals

Module 19: Quadratic Equations and Complex Numbers

  • Quadratic Equations
  • 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
  • Quadratic and Radical Functions
  • Polynomial Functions
  • Applications of Quadratic 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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