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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.The sum of 4 consecutive whole numbers is 198. Find the numbers.

Answer: 48, 49, 50, 51

  1. n + (n + 1) + (n + 2) + (n + 3) = 198
  2. 4n + 6 = 198
  3. n = 48
2.The sum of 4 consecutive whole numbers is 182. Find the numbers.

Answer: 44, 45, 46, 47

  1. n + (n + 1) + (n + 2) + (n + 3) = 182
  2. 4n + 6 = 182
  3. n = 44
3.The sum of 3 consecutive whole numbers is 39. Find the numbers.

Answer: 12, 13, 14

  1. n + (n + 1) + (n + 2) = 39
  2. 3n + 3 = 39
  3. n = 12
4.Leo thinks of a number, multiplies it by 3 and then adds 15. The answer is 72. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 3n + 15 = 72
  2. 3n = 57
  3. n = 19
5.Olivia thinks of a number, multiplies it by 6 and then adds 10. The answer is 34. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 6n + 10 = 34
  2. 6n = 24
  3. n = 4
6.A rectangle is 3 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.

Answer: width 12 cm, length 15 cm

  1. 2(w + w + 3) = 54
  2. 4w + 6 = 54
  3. w = 12, so length = 15
7.Zoe thinks of a number, multiplies it by 2 and then adds 9. The answer is 37. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 2n + 9 = 37
  2. 2n = 28
  3. n = 14
8.Aisha thinks of a number, multiplies it by 3 and then adds 7. The answer is 61. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 3n + 7 = 61
  2. 3n = 54
  3. n = 18
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