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Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.

1.A rectangle is 6 cm longer than it is wide. Its perimeter is 44 cm. Find its width and length.

Answer: width 8 cm, length 14 cm

  1. 2(w + w + 6) = 44
  2. 4w + 12 = 44
  3. w = 8, so length = 14
2.A rectangle is 10 cm longer than it is wide. Its perimeter is 88 cm. Find its width and length.

Answer: width 17 cm, length 27 cm

  1. 2(w + w + 10) = 88
  2. 4w + 20 = 88
  3. w = 17, so length = 27
3.Oliver thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 10. What was the number?

Answer: 14

  1. 5(n − 12) = 10
  2. n − 12 = 2
  3. n = 14
4.Isla thinks of a number, multiplies it by 6 and then adds 11. The answer is 101. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 6n + 11 = 101
  2. 6n = 90
  3. n = 15
5.Mason thinks of a number, multiplies it by 3 and then adds 6. The answer is 39. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 3n + 6 = 39
  2. 3n = 33
  3. n = 11
6.Ruby thinks of a number, multiplies it by 3 and then adds 3. The answer is 12. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 3n + 3 = 12
  2. 3n = 9
  3. n = 3
7.Ethan thinks of a number, multiplies it by 5 and then adds 1. The answer is 26. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 5n + 1 = 26
  2. 5n = 25
  3. n = 5
8.A rectangle is 10 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.

Answer: width 3 cm, length 13 cm

  1. 2(w + w + 10) = 32
  2. 4w + 20 = 32
  3. w = 3, so length = 13
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