Proportionality Constant Worksheets Grade 7

Ratios

Identify Constant

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 factory produces electronic components at a constant rate. The production manager notices that in 3.5 hours, the factory produces 1,750 components. If the factory operates for 12 hours, how many components will it produce?
  2. If y = 14x and y = 168, what is x?
  3. A factory produces electronic components at a constant rate. The quality control team found that for every 3 hours of production, the factory makes 2,400 components. If the factory operates continuously for 18 hours, how many components will it produce?

…and 5 more problems

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Worksheet 2

8 problems
  1. If y = 3.75x and y = 45, what is x?
  2. A construction company needs to mix concrete using a specific ratio of cement to sand. For every 8 kilograms of cement, they use 12 kilograms of sand. If they use 120 kilograms of sand for a large project, how many kilograms of cement should they use?
  3. If y = 24x and y = 168, what is x?

…and 5 more problems

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Worksheet 3

8 problems
  1. If y = 7x and y = 84, what is x?
  2. A proportional relationship is represented on a coordinate plane by a straight line that passes through the origin and the point (15, 21). What is the constant of proportionality for this relationship?
  3. A city is planning a new bike path that needs to be painted with special reflective paint. The paint company charges a constant rate per gallon, and each gallon covers 250 feet of path. The city's budget allows for purchasing 48 gallons of paint. If the relationship between gallons of paint and feet of path covered is proportional, what is the constant of proportionality that relates the number of gallons used to the length of path painted?

…and 5 more problems

Open & Print Worksheet 3

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