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Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 Equation Word Problems Worksheet — Level 3 — 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 3 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.

Answer: width 3 cm, length 6 cm

  1. 2(w + w + 3) = 18
  2. 4w + 6 = 18
  3. w = 3, so length = 6
2.The sum of 4 consecutive whole numbers is 66. Find the numbers.

Answer: 15, 16, 17, 18

  1. n + (n + 1) + (n + 2) + (n + 3) = 66
  2. 4n + 6 = 66
  3. n = 15
3.A rectangle is 3 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.

Answer: width 9 cm, length 12 cm

  1. 2(w + w + 3) = 42
  2. 4w + 6 = 42
  3. w = 9, so length = 12
4.The sum of 4 consecutive whole numbers is 126. Find the numbers.

Answer: 30, 31, 32, 33

  1. n + (n + 1) + (n + 2) + (n + 3) = 126
  2. 4n + 6 = 126
  3. n = 30
5.A rectangle is 3 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.

Answer: width 13 cm, length 16 cm

  1. 2(w + w + 3) = 58
  2. 4w + 6 = 58
  3. w = 13, so length = 16
6.The sum of 3 consecutive whole numbers is 84. Find the numbers.

Answer: 27, 28, 29

  1. n + (n + 1) + (n + 2) = 84
  2. 3n + 3 = 84
  3. n = 27
7.The sum of 3 consecutive whole numbers is 96. Find the numbers.

Answer: 31, 32, 33

  1. n + (n + 1) + (n + 2) = 96
  2. 3n + 3 = 96
  3. n = 31
8.A rectangle is 4 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.

Answer: width 18 cm, length 22 cm

  1. 2(w + w + 4) = 80
  2. 4w + 8 = 80
  3. w = 18, so length = 22
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