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.

Q1:

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

π‘₯678
𝑦121416
  • A𝑦=2π‘₯
  • Bπ‘₯=6𝑦
  • Cπ‘₯=2𝑦
  • Dπ‘₯=𝑦
  • E𝑦=6π‘₯

Q2:

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

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

Select the graph that shows a proportional relationship.

  • A
  • B
  • C
  • D
  • E

Q9:

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

Q10:

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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