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.
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."
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."
Gear Ratio Concepts (Screencast)
By James Bourassa
In this screencast, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations.
Identifying the Number of Significant Digits
By Ron Wallberg
Learners will identify the number of significant digits in practice problems.
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.
Numerical Curiosities: Part 4
By Jeganathan Sriskandarajah
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.
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.
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.
Variation - Application Problems
By Terry Lark
In this learning activity you'll practice two variation application problems.
Simplifying Algebraic Fractions that Contain No Addition or Subtraction
By Jim Cihak
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.
Direct Variation
In this learning activity you'll walk through a direct variation problem.
Joint Variation
In this learning activity you'll practice calculating a joint variation problem.
Inverse Variation
In this learning activity you'll practice calculating an inverse variation problem.
Solving Equations that Contain Algebraic Fractions
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.
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.
Quadratic Variation
In this learning activity you'll practice calculating a quadratic variation problem.
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?
Slope and Intercept on Graphing Calculators
By Ron Keys
The learner reads directions for finding the slope, intercept, and correlation coefficient for a group of ordered pairs using one of eight different scientific calculators.
Variation
In this learning object you'll review direct, inverse, joint, quadratic, and combined variations.
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.
Combined Variation
In this learning activity you'll practice calculating a combined variation problem.
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.
An Algebraic Word Problem Involving Motion: Case 1
In this animated and interactive object, learners use an algebraic formula to solve a problem involving distance, rate, and time.
Determinant of the Third Order
By Roy Peterson
In this learning activity you'll evaluate the determinant of a 3 X 3 matrix.