# 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 and .

 𝑥 𝑦 6 7 8 12 14 16
• A
• B
• C
• D
• E

Q2:

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

• A
• B
• C
• D
• E

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.

• A or
• B or
• C or
• D or

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 . 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 and ? 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
• Bpoint
• Cpoint

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) Distance (mi) 2 5.7 6 7 142 404.7 426 497

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

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