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 Version 2.21

 Important Notice August, 2013: This free online PreAlgebra course will be replaced with a new version that is more complete and compatible with common-core standards. I realize this will be an inconvenience for some of our users, but it is an essential step that we must take. The current version will remain available through December, 2013, but will not appear on the listings of courses for the College of Mathematics.

Lessons
(Select One)

Topic 1—Whole Numbers

Lesson 1-1    Introducing Whole Numbers
Lesson 1-2    Naming Numbers
Lesson 1-3    Rounding Whole Numbers
Lesson 1-5    Subtracting Whole Numbers
Lesson 1-6    Multiplying Whole Numbers
Lesson 1-7    Dividing Whole Numbers
Lesson 1-8    Comparing Whole-Number Values
Lesson 1-9    Order of Operations
Lesson 1-10   Factoring
Lesson 1-11   Solving Word Problems with Whole Numbers

Topic 2—Integers

Lesson 2-1    Introducing Integers
Lesson 2-2    Comparing  Integer Values
Lesson 2-3    Introducing Absolute Values
Lesson 2-5    Subtracting Signed Integers
Lesson 2-6    Combining Integer Addition and Subtraction
Lesson 2-7    Multiplying Signed Integers
Lesson 2-8    Dividing Signed Integers
Lesson 2-9    Combining Integer Multiplication and Division
Lesson 2-10   Introducing Exponents
Lesson 2-11  Ordering Operations with Integers
Lesson 2-12  Solving Word Problems with Integers

Topic 3—Fractions

Lesson 3-1    Introducing Fractions
Lesson 3-2    Converting Fractions to Higher Terms
Lesson 3-3    Reducing Fractions
Lesson 3-4    Converting Between Improper Fractions and Mixed Numbers
Lesson 3-5    Multiplying Fractions and Mixed Numbers
Lesson 3-6    Dividing Fractions and Mixed Numbers
Lesson 3-7    Finding Common Denominators
Lesson 3-8    Adding Fractions and Mixed Numbers
Lesson 3-9    Subtracting Fractions and Mixed Numbers
Lesson 3-10    Comparing Fractions
Lesson 3-11  Operations With Signed Fractions
Lesson 4-6    Solving Word Problems With Fractions

Topic 4—Decimals

Lesson 4-1   Naming Decimals
Lesson 4-2   Rounding Decimals
Lesson 4-4   Subtracting Decimals
Lesson 4-5   Multiplying Decimals
Lesson 4-6   Dividing Decimals
Lesson 4-7   Converting Between Fractions and Decimals

Topic 5Powers, Exponents, and Roots

Lesson 5-1   Powers and Exponents
Lesson 5-2   Square Roots and Cube Roots
Lesson 5-3   Working with Exponents
Lesson 5-4   Powers of Ten
Lesson 5-5   Working with Scientific Notation
Lesson 5-6   Engineering Notation
Lesson 5-7   Working with Engineering Notation

Topic 6—Percent

Lesson 6-1    Introducing Percents
Lesson 6-2    Converting Between Percents, Decimals, and Fractions
Lesson 6-3    Solving Percent Problems
Lesson 6-4    Solving Word Problems With Percents

Topic 7—Powers and Square Roots

Lesson 7-1    Introducing Power Notation
Lesson 7-2    Introducing Square Roots
Lesson 7-3    Estimating Square-Root Values

Topic 8—Expressions and Equations

Lesson 8-1    Introducing Expressions and Equations
Lesson 8-2    Evaluating Algebraic Expressions
Lesson 8-3    Combining Like Terms
Lesson 8-4    Using the Distributive Property
Lesson 8-5    Removing Parentheses
Lesson 8-6    Working With Formulas
Lesson 8-7    Solving  Equations
Lesson 8-8    Ratio and Proportion

Topic 9—Ratio and Proportion

Lesson  9-1    Introducing Ratios and Proportions
Lesson  9-2    Solving Proportions
Lesson  9-3    Solving Problems Using Ratios and Proportions

Topic 10—Geometry

Lesson  10-1    Introducing Geometric Figures
Lesson  10-2    Finding Perimeter and Circumferences
Lesson  10-3    Finding Areas
Lesson  10-4    Finding Volumes
Lesson  10-5    Working With Right Triangles
Lesson  10-6    Working Geometry Word Problems

Topic 11—Measurement

Lesson 11-1    Introducing Measurements
Lesson 11-2    Measuring Lengths
Lesson 11-3    Measuring Weights
Lesson 11-4    Measuring Capacities
Lesson 11-5    Measuring Time

Topic 12—Graphing

Lesson 12-1   Using the Rectangular Coordinate Plane
Lesson 12-2   Plotting Points on the Coordinate Plane
Lesson 12-3   Plotting Lines on the Coordinate Plane
Lesson 12-4   Graphing Linear Equations
Lesson 12-5   Defining Horizontal and Vertical Lines
Lesson 12-6   Finding Intercepts
Lesson 12-7   Finding the Slopes of Lines
Lesson 12-8   Solving Systems of Linear Equations

Topic 13—Working With Monomials and Polynomials

Lesson 13-1    Introducing Monomials and Polynomials
Lesson 13-2    Adding and Subtracting Polynomials
Lesson 13-3    Multiplying Monomials
Lesson 13-4    Raising Monomials to a Power
Lesson 13-5    Multiplying Polynomials by Monomials
Lesson 13-6    Multiplying and Squaring Binomials
Lesson 13-7    Multiplying Polynomials
Lesson 13-8    Dividing Monomials
Lesson 13-9    Dividing Polynomials by Monomials

This is a complete online study program for a first course in pre-algebra. Everything you need for the course is provided hereonline and totally free of charge.

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