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Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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 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 87. Find the numbers.

Answer: 28, 29, 30

  1. n + (n + 1) + (n + 2) = 87
  2. 3n + 3 = 87
  3. n = 28
2.A rectangle is 5 cm longer than it is wide. Its perimeter is 86 cm. Find its width and length.

Answer: width 19 cm, length 24 cm

  1. 2(w + w + 5) = 86
  2. 4w + 10 = 86
  3. w = 19, so length = 24
3.Zoe thinks of a number, multiplies it by 6 and then adds 7. The answer is 115. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 6n + 7 = 115
  2. 6n = 108
  3. n = 18
4.A rectangle is 7 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.

Answer: width 8 cm, length 15 cm

  1. 2(w + w + 7) = 46
  2. 4w + 14 = 46
  3. w = 8, so length = 15
5.The sum of 4 consecutive whole numbers is 50. Find the numbers.

Answer: 11, 12, 13, 14

  1. n + (n + 1) + (n + 2) + (n + 3) = 50
  2. 4n + 6 = 50
  3. n = 11
6.The sum of 2 consecutive whole numbers is 31. Find the numbers.

Answer: 15, 16

  1. n + (n + 1) = 31
  2. 2n + 1 = 31
  3. n = 15
7.A rectangle is 5 cm longer than it is wide. Its perimeter is 66 cm. Find its width and length.

Answer: width 14 cm, length 19 cm

  1. 2(w + w + 5) = 66
  2. 4w + 10 = 66
  3. w = 14, so length = 19
8.The sum of 3 consecutive whole numbers is 129. Find the numbers.

Answer: 42, 43, 44

  1. n + (n + 1) + (n + 2) = 129
  2. 3n + 3 = 129
  3. n = 42
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