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Year 8 Equation Word Problems Worksheet — Level 3 — 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 3 — 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 72. Find the numbers.

Answer: 23, 24, 25

  1. n + (n + 1) + (n + 2) = 72
  2. 3n + 3 = 72
  3. n = 23
2.A rectangle is 8 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.

Answer: width 4 cm, length 12 cm

  1. 2(w + w + 8) = 32
  2. 4w + 16 = 32
  3. w = 4, so length = 12
3.The sum of 2 consecutive whole numbers is 59. Find the numbers.

Answer: 29, 30

  1. n + (n + 1) = 59
  2. 2n + 1 = 59
  3. n = 29
4.A rectangle is 3 cm longer than it is wide. Its perimeter is 38 cm. Find its width and length.

Answer: width 8 cm, length 11 cm

  1. 2(w + w + 3) = 38
  2. 4w + 6 = 38
  3. w = 8, so length = 11
5.A rectangle is 1 cm longer than it is wide. Its perimeter is 10 cm. Find its width and length.

Answer: width 2 cm, length 3 cm

  1. 2(w + w + 1) = 10
  2. 4w + 2 = 10
  3. w = 2, so length = 3
6.A rectangle is 9 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.

Answer: width 8 cm, length 17 cm

  1. 2(w + w + 9) = 50
  2. 4w + 18 = 50
  3. w = 8, so length = 17
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.

Answer: width 9 cm, length 11 cm

  1. 2(w + w + 2) = 40
  2. 4w + 4 = 40
  3. w = 9, so length = 11
8.The sum of 4 consecutive whole numbers is 26. Find the numbers.

Answer: 5, 6, 7, 8

  1. n + (n + 1) + (n + 2) + (n + 3) = 26
  2. 4n + 6 = 26
  3. n = 5
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