Direct Variation: Definition, Formula & Examples


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question 1 of 3

You drive at a constant rate of 65 km/hr for 3 hours. What is the distance you have traveled?

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1. While traveling at a consistent rate of speed, you notice that you have traveled 200 km in 4 hours. Using an equation, how far will you have traveled in 5 hours?

2. Using the equation y = kx, what is the value of the consistent rate, or constant of variation k, when y equals 27 and x equals 9?

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About This Quiz & Worksheet

Direct variation is an important concept to know when dealing with linear equations, and this quiz/worksheet will help you test your understanding of it in various mathematical contexts.

Quiz & Worksheet Goals

In these assessments you'll be tested on problems involving:

  • The distance traveled equation
  • The 'y=kx' equation
  • Direct variation
  • Direct variation as expressed in mathematical tables

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to solve practice problems involving direct variation
  • Making connections - use understanding of the concept of direct variation in different mathematical contexts
  • Knowledge application - answer questions using the distance traveled equation and the 'y=kx' equation

Additional Learning

To learn more about direct variation, review the accompanying lesson Direct Variation: Definition, Formula & Examples. This lesson covers the following objectives:

  • Define direct variation
  • Define the constant of variation
  • Understand the distance traveled equation
  • Understand how direct variation is expressed in an equation
  • Understand how direct variation is expressed in a table
  • Understand how direct variation is expressed in a graph