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.

Determinant of the Third Order

By Roy Peterson

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

Statics: Resultant Calculations via Graphical Method

By Steve Whitmoyer

In this interactive learning object, students calculate a resultant of multiple forces acting in a concurrent, coplanar condition.

Simplifying Algebraic Expressions: Division

By Allen Reed, Douglas Jensen

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.

Inverse Variation

By Terry Lark

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

Quadratic Variation

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

Excel: Complex Addition

By Patrick Hoppe

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

Numerical Curiosities: Part 3

By Jeganathan Sriskandarajah

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.

Variation

In this learning object you'll review direct, inverse, joint, quadratic, and combined variations.

Combined Variation

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

Solving Systems of Linear Equations Using the Addition or Subtraction Method

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

Joint Variation

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

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

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.

A Visual Approach To Simplifying Radicals

In this animated object, learners follow a process for simplifying radicals.

Direct Variation

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

The TI-83 Plus Calculator: Using the LOG Function

Students follow the correct keystrokes to calculate the logarithm of a number.

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.

Excel: Determining the Square Root of a Complex Number

Learners view the steps for determining the square root of a complex number in Excel.

Identifying the Number of Significant Digits

By Ron Wallberg

Learners will identify the number of significant digits in practice problems.

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.

Numerical Curiosities: Part 4

In this fourth part in a series, learners follow the steps of the “mathemagician” to examine three numerical curiosities: Be a Psychic by Predicting Birthdays, Predict a Card with Mind Reading, and Predict the Three Die Values Your Opponent Has Rolled. Learners will also study palindromic numbers and look at two alphametric puzzles.

An Algebraic Word Problem Involving Motion: Case 2

In this animated object, learners use an algebraic formula to solve the following problem: An airplane travels a certain distance with the wind in the same amount of time that it takes to travel a shorter distance against the wind. Given a constant wind speed, what is the speed of the plane without a wind?

Variation - Application Problems

In this learning activity you'll practice two variation application problems.

Excel: Entering a Complex Number

Learners examine the complex number function to convert real and imaginary coefficients into a complex number.