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Study Guides > Prealgebra

Course Contents at a Glance

an icon of a pair of binoculars 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 That Contain Fractions

Module 5: Decimals

  • Writing and Identifying Characteristics of Decimals
  • Operations on Decimals
  • Exploring The Relationship Between Decimals and Fractions
  • Solving Equations with Decimals

Module 6: Applications With Decimals

  • 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
  • Solve General Applications of Percent
  • Solving Sales Tax, Commission, and Discount Applications
  • Solving Simple Interest Applications
  • Solving Proportions and their Applications

Module 8: Real Numbers

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

Module 9: Multi-Step Linear Equations

  • Solving Equations Using the Subtraction and Addition Properties of Equality
  • Solving Equations Using the Division and Multiplication Properties of Equality
  • Using a Problem Solving Strategy
  • Solving Word Problems That Have Decimals
  • Using Formulas to Solve Word Problems

Module 10: Polynomials

  • Adding and Subtracting Polynomials
  • Simplifying Expressions With Exponents
  • Multiplying Polynomials
  • Dividing Monomials
  • Simplifying Expressions With Negative Exponents
  • Factoring Polynomials

Module 11: 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 12: Graphs

  • Plotting Points on the Rectangular Coordinate System
  • Plotting Lines on the Rectangular Coordinate System
  • Identifying and Using Slope

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  • Binoculars Icon. Provided by: Noun Project Authored by: Musmellow. Located at: https://thenounproject.com/icon/binoculars-1234056/. License: CC BY: Attribution.