Lesson Worksheet: Proportional Equations Mathematics • 8th Grade

In this worksheet, we will practice writing an equation to describe the proportional relationship of data in a table or a graph.


For the following table, find the algebraic equation that shows the proportional relationship between π‘₯ and 𝑦.

  • A𝑦=2π‘₯
  • Bπ‘₯=6𝑦
  • Cπ‘₯=2𝑦
  • Dπ‘₯=𝑦
  • E𝑦=6π‘₯


Which of the below represents the percentage of 74 commuters from 430 commuters?

  • A𝑛=74Γ—4.3
  • B𝑛=74Γ—430
  • C43074=𝑛100
  • D74430=𝑛100
  • E𝑛=0.74Γ—430


Determine the four proportional numbers of which the fourth proportional equals the square of the second, the first is less than the second by 1, and the third is 72.

  • A10,9,72,81 or βˆ’7,βˆ’8,72,64
  • B8,9,72,18 or βˆ’9,βˆ’8,72,βˆ’16
  • C8,9,72,81 or βˆ’9,βˆ’8,72,64
  • D10,9,72,18 or βˆ’7,βˆ’8,72,βˆ’16


Jennifer plotted the distance, in miles, she cycled against the time, in hours, on her last ride and drew a line of best fit. Her friend Benjamin says that to estimate the distance in miles he covers in a given number of hours, he uses the equation 𝑑=15𝑑.

Who is the faster cyclist?

  • AJennifer
  • BBenjamin


It takes Teresa 8 minutes to fill her 60-liter bathtub from a single faucet. Which of the following lines represents the volume of water she gets from her faucet against the time during which the faucet is open?

  • Athe orange one
  • Bthe black one
  • Cthe blue one
  • Dthe green one


How many graphs represent a proportional relationship between 𝑦 and π‘₯?


The graph shows the amount of saturated fat contained in a given mass of butter.

A 100 g portion of olive oil contains 14 g of saturated fat. Which contains a larger proportion of saturated fat, butter or olive oil?

  • Aolive oil
  • Bbutter


Select the graph that shows a proportional relationship.

  • A
  • B
  • C
  • D
  • E


Michael sold 3 dozen eggs for $5.28. Which of the following points in the graph represents the rate at which Michael sold the eggs?

  • Apoint 𝐡
  • Bpoint 𝐢
  • Cpoint 𝐴


The given table shows the total distance traveled by a bus driving at a constant speed. Using this information, determine how far the bus will have traveled after 10 hours.

Time (h)25.767
Distance (mi)142404.7426497

This lesson includes 5 additional questions and 63 additional question variations for subscribers.

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