Simplifying Algebraic Expressions: Addition & Subtraction

By Allen Reed, Douglas Jensen

Learners read definitions of the terminology associated with algebraic operations and then follow steps to simplify algebraic expressions.

Simplifying Algebraic Expressions: Multiplication

Learners read definitions of the terminology associated with algebraic operations and then follow steps to use the fundamental laws of multiplication to simplify algebraic expressions.

Solving Equations that Contain Algebraic Fractions

By Jim Cihak

Learners use the lowest common denominator to simplify and then solve equations with algebraic fractions. Immediate feedback is provided. This animated object has audio content.

Numerical Curiosities: Part 2

By Jeganathan Sriskandarajah

In part 2 of this series, learners follow the steps of the “mathemagician” to examine these numerical curiosities: The 189 Challenge; An Armstrong Number: What’s Special About 153? Is 495 Different or Indifferent? Is 6174 Different or Indifferent? It is always 618, and Beginning and Ending the Same.

Combined Variation

By Terry Lark

In this learning activity you'll practice calculating a combined variation problem.

An Introduction to Algebraic Word Problems

By Kevin Ritzman

In this animated object, learners follow the steps for solving word problems using algebra. An introductory example is explained.

Simplifying Algebraic Fractions that Contain No Addition or Subtraction

In this highly interactive and animated object, learners follow a step-by-step process to reduce algebraic fractions, which contain no addition or subtraction, to their simplest, most elementary form. Immediate feedback is provided. This activity has audio content.

Numerical Curiosities: Part 3

In this interactive object, part 3 in a series, learners follow the steps of the “mathemagician” to examine four numerical curiosities: What’s Special About 1089, Perfect Squares: 1089 and 9801, The Mathematical Significance of 1776, and The Calculator Number Game. The learner will also study six number patterns and look at one remarkable table. Immediate feedback is provided.

Direct Variation

In this learning activity you'll walk through a direct variation problem.

Solving Systems of Linear Equations Using the Substitution Method

In a series of practice problems, learners use the substitution method to solve systems of linear equations, also called "simultaneous linear equations."

Excel: Complex Addition

By Patrick Hoppe

Students view the steps to follow to add complex numbers in Excel.

Solving Systems of Linear Equations Using the Addition or Subtraction Method (Screencast)

In a series of practice problems, learners use the addition or subtraction method to solve systems of linear equations, also called "simultaneous linear equations."

Finding the Lowest Common Denominator for Algebraic Fractions

In this interactive and animated object, learners follow instructions for finding the lowest common denominator for a group of algebraic fractions. Immediate feedback is provided. This activity has audio content.

Simplifying Algebraic Expressions: Division

Learners read definitions of the terminology associated with algebraic operations and then follow steps to use the fundamental laws of division to simplify algebraic expressions.

Dividing and Simplifying Algebraic Fractions

Learners follow step-by-step instructions for dividing algebraic fractions. They begin by reducing the fractions to their simplest form. Immediate feedback is provided. This activity has audio content.

Simplifying and Multiplying Algebraic Fractions

In this interactive object, learners follow step-by-step instructions for reducing algebraic fractions so that they can then be multiplied. This activity has audio content.

Determinant of the Third Order

By Roy Peterson

In this learning activity you'll evaluate the determinant of a 3 X 3 matrix.

Gear Ratio Concepts

By James Bourassa

In this animated object, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations. A quiz completes the activity.

Inverse Variation

In this learning activity you'll practice calculating an inverse variation problem.

Adding or Subtracting Algebraic Fractions

Learners follow step-by-step instructions for finding the lowest common denominator for a group of algebraic fractions and then enter their answers to three problems. Immediate feedback is provided. This activity has audio content.