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More Lessons for Algebra

Math Worksheets

A series of free Basic Algebra Lessons.

In this lesson, we will learn

  • direct variation and its applications
  • inverse variation or indirect variation and its applications

Direct Variation

We often use the term direct variation to describe a form of dependence of one variable on another. An equation that makes a line and crosses the origin is a form of direct variation, where the magnitude of x increases or decreases directly as y increases or decreases. Direct variation and inverse variation are used often in science when modelling activity, such as speed or velocity.
This video explains direct variation and solves application problems.
This video provides and example of how to determine a direct variation equation from given information and then determine y with a given value of x.

This video shows how to solve some Direct Variation Applications

Inverse Variation

When modelling real world situations, we often use what's called inverse variation to describe a relation between two variables. Inverse variation is a relation in which the absolute value of one variable gets smaller while the other gets larger. Inverse variation and direct variation are important concepts to understand when learning equations and interpreting graphs.
This video explains and provides examples of inverse variation.

This video explains and provides examples of direct and inverse or indirect variation
Inverse Variation Application

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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