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Constant of Proportionality - Worksheet 8 - 7th Grade

Hard

Use equivalent ratios and unit rates to solve proportional relationships.

hard: Use two steps or reverse a relationship.

23 problems · 15-20 minutes · Skills: proportional relationships, algebra

About This Worksheet

This hard-level worksheet contains 23 problems designed for 7th Grade students practicing constant of proportionality. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Multiply, divide and simplify fractions. Read quantities with their units.

  • Use equivalent ratios and unit rates to solve proportional relationships.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: In a proportional relationship y = kx, x = 4 gives y = 16. Find k.
Solution Steps:
  1. In y = kx, divide y by the nonzero x-value.
  2. k = 16 ÷ 4 = 4.
Answer: 4
Tip: Check your result using the method in the example before moving to the next question.
1
In a proportional relationship y = kx, x = 3 gives y = 24. Find k.
2
In a proportional relationship y = kx, x = 8 gives y = 120. Find k.
3
In a proportional relationship y = kx, x = 7 gives y = 105. Find k.
4
In a proportional relationship y = kx, x = 2 gives y = 12. Find k.
5
In a proportional relationship y = kx, x = 5 gives y = 105. Find k.
6
In a proportional relationship y = kx, x = 3 gives y = 33. Find k.
7
In a proportional relationship y = kx, x = 7 gives y = 21. Find k.
8
In a proportional relationship y = kx, x = 2 gives y = 40. Find k.
9
In a proportional relationship y = kx, x = 8 gives y = 152. Find k.
10
In a proportional relationship y = kx, x = 2 gives y = 6. Find k.
11
In a proportional relationship y = kx, x = 3 gives y = 6. Find k.
12
In a proportional relationship y = kx, x = 5 gives y = 25. Find k.
13
In a proportional relationship y = kx, x = 7 gives y = 42. Find k.
14
In a proportional relationship y = kx, x = 2 gives y = 46. Find k.
15
In a proportional relationship y = kx, x = 3 gives y = 30. Find k.
16
In a proportional relationship y = kx, x = 6 gives y = 102. Find k.
17
In a proportional relationship y = kx, x = 2 gives y = 36. Find k.
18
In a proportional relationship y = kx, x = 4 gives y = 20. Find k.
19
In a proportional relationship y = kx, x = 8 gives y = 128. Find k.
20
In a proportional relationship y = kx, x = 6 gives y = 84. Find k.
21
In a proportional relationship y = kx, x = 2 gives y = 22. Find k.
22
In a proportional relationship y = kx, x = 5 gives y = 120. Find k.
23
In a proportional relationship y = kx, x = 2 gives y = 30. Find k.

Answer Key

1. 82. 153. 154. 65. 216. 117. 38. 209. 1910. 311. 212. 513. 614. 2315. 1016. 1717. 1818. 519. 1620. 1421. 1122. 2423. 15

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What skills does this proportional relationships worksheet cover?

This worksheet focuses on proportional relationships, algebra. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

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How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.