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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 3 consecutive whole numbers is 54. Find the numbers.

Answer: 17, 18, 19

  1. n + (n + 1) + (n + 2) = 54
  2. 3n + 3 = 54
  3. n = 17
2.The sum of 3 consecutive whole numbers is 150. Find the numbers.

Answer: 49, 50, 51

  1. n + (n + 1) + (n + 2) = 150
  2. 3n + 3 = 150
  3. n = 49
3.A rectangle is 5 cm longer than it is wide. Its perimeter is 90 cm. Find its width and length.

Answer: width 20 cm, length 25 cm

  1. 2(w + w + 5) = 90
  2. 4w + 10 = 90
  3. w = 20, so length = 25
4.Ava thinks of a number, multiplies it by 3 and then adds 13. The answer is 61. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 3n + 13 = 61
  2. 3n = 48
  3. n = 16
5.The sum of 3 consecutive whole numbers is 48. Find the numbers.

Answer: 15, 16, 17

  1. n + (n + 1) + (n + 2) = 48
  2. 3n + 3 = 48
  3. n = 15
6.A rectangle is 6 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 12 cm, length 18 cm

  1. 2(w + w + 6) = 60
  2. 4w + 12 = 60
  3. w = 12, so length = 18
7.Hunter thinks of a number, multiplies it by 3 and then adds 5. The answer is 41. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 3n + 5 = 41
  2. 3n = 36
  3. n = 12
8.The sum of 3 consecutive whole numbers is 132. Find the numbers.

Answer: 43, 44, 45

  1. n + (n + 1) + (n + 2) = 132
  2. 3n + 3 = 132
  3. n = 43
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