Proportional Graphs Worksheets Grade 7

Ratios

Analyze Graphs

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

7 problems
  1. A proportional relationship is graphed on a coordinate plane, showing the cost of printing photos at a photo lab. The line passes through points (0, 0) and (8, 12), where the x-axis represents number of photos and the y-axis represents total cost in dollars. If a customer wants to print 18 photos, what would be the total cost?
  2. Tane is a conservation ranger who tracks the growth of native trees in a reforestation project. He discovers that the height of a particular kauri tree is directly proportional to the number of years since it was planted. After 12 years, the tree is 9 meters tall. If the tree continues to grow at the same constant rate, how tall will it be after 28 years?
  3. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (14, 1), (14, 7), and (2, 7). A path runs diagonally from the vertex at (2, 1) to the vertex at (14, 7), dividing the garden into two triangular sections. What is the ratio of the area of the smaller triangular section to the area of the entire rectangular garden?

…and 4 more problems

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Worksheet 2

8 problems
  1. Liam is baking cookies for a school fundraiser. His recipe uses 2.5 cups of flour to make 20 cookies. He needs to make 180 cookies for the event. How many cups of flour should Liam use?
  2. A proportional relationship is graphed on a coordinate plane, showing the cost of printing photos at a photo lab. The line passes through points (0, 0) and (8, 12). If a customer wants to print 20 photos, what would be the total cost in dollars?
  3. If y = 3x and x = 8, then y = ?

…and 5 more problems

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Worksheet 3

8 problems
  1. Charlotte is filling orders for a candle company. She uses 7 kilograms of wax to make 12 candles of the same size. If Charlotte needs to make 132 candles for a large order, how many kilograms of wax will she need to use?
  2. y = 15x, x = 25, y = ?
  3. Liam is baking cookies for a school fundraiser. His recipe uses 2.5 cups of flour to make 15 cookies. He needs to bake enough cookies for 90 students to each get one cookie. How many cups of flour will Liam need for this batch?

…and 5 more problems

Open & Print Worksheet 3

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