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Year 8 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 8 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Equations

Year 8 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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.Mason thinks of a number, multiplies it by 4 and then adds 9. The answer is 25. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 9 = 25
  2. 4n = 16
  3. n = 4
2.Jack thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 12. What was the number?

Answer: 12

  1. 4(n − 9) = 12
  2. n − 9 = 3
  3. n = 12
3.Noah thinks of a number, multiplies it by 5 and then adds 3. The answer is 58. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 5n + 3 = 58
  2. 5n = 55
  3. n = 11
4.A rectangle is 5 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 17 cm, length 22 cm

  1. 2(w + w + 5) = 78
  2. 4w + 10 = 78
  3. w = 17, so length = 22
5.A rectangle is 2 cm longer than it is wide. Its perimeter is 12 cm. Find its width and length.

Answer: width 2 cm, length 4 cm

  1. 2(w + w + 2) = 12
  2. 4w + 4 = 12
  3. w = 2, so length = 4
6.Hunter thinks of a number, multiplies it by 6 and then adds 2. The answer is 98. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 6n + 2 = 98
  2. 6n = 96
  3. n = 16
7.Max thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 6. What was the number?

Answer: 10

  1. 3(n − 8) = 6
  2. n − 8 = 2
  3. n = 10
8.Ruby thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 3. What was the number?

Answer: 3

  1. 3(n − 2) = 3
  2. n − 2 = 1
  3. n = 3
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