Proportional Equations Worksheets Grade 7

Algebra

Write Equations

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. A rectangular garden is drawn on a coordinate plane with vertices at (1, 2), (13, 2), (13, 10), and (1, 10). A circular fountain is placed in the center of the garden with a diameter equal to half the garden's width. What is the area of the garden that is NOT covered by the fountain? (Use π = 3.14)
  2. Liam is baking cookies for a school fundraiser. His recipe uses 2.5 cups of flour to make 15 cookies. If he wants to make 75 cookies for the event, how many cups of flour will he need?
  3. A construction company is building a scale model of a new bridge. The actual bridge will be 480 meters long, and the model uses a scale of 1:60. If the model bridge requires 3.2 liters of special coating paint to cover its entire surface, how many liters of the same paint would be needed to coat the actual bridge?

…and 5 more problems

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Worksheet 2

8 problems
  1. Charlotte earns money at a constant rate. She earns $221 for working 13 hours. Write the equation y = kx that represents her total earnings y for x hours worked.
  2. If y = 3x + 5, what is y when x = 7?
  3. Mason is planning a road trip. The car uses 1 gallon of gas for every 15 miles driven. If Mason drives 105 miles, how many gallons of gas will be used? Write an equation in the form y = kx to represent this relationship, where y is gallons and x is miles.

…and 5 more problems

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Worksheet 3

9 problems
  1. Charlotte is paid a constant hourly wage. She earns $221 for working 13 hours. Write the equation y = kx that represents her total earnings y for x hours worked.
  2. Hana is paid a constant hourly wage. She earns $195.50 for working 17 hours. Write the equation y = kx that represents her total earnings y for x hours worked.
  3. Charlotte earns money at a constant rate. She earns $195 for working 15 hours. Write the equation y = kx that represents her total earnings y for x hours worked.

…and 6 more problems

Open & Print Worksheet 3

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