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Year 11 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 11 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Equations

Year 11 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 2 consecutive whole numbers is 37. Find the numbers.

Answer: 18, 19

  1. n + (n + 1) = 37
  2. 2n + 1 = 37
  3. n = 18
2.The sum of 2 consecutive whole numbers is 57. Find the numbers.

Answer: 28, 29

  1. n + (n + 1) = 57
  2. 2n + 1 = 57
  3. n = 28
3.A rectangle is 2 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.

Answer: width 6 cm, length 8 cm

  1. 2(w + w + 2) = 28
  2. 4w + 4 = 28
  3. w = 6, so length = 8
4.A rectangle is 7 cm longer than it is wide. Its perimeter is 22 cm. Find its width and length.

Answer: width 2 cm, length 9 cm

  1. 2(w + w + 7) = 22
  2. 4w + 14 = 22
  3. w = 2, so length = 9
5.A rectangle is 9 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.

Answer: width 14 cm, length 23 cm

  1. 2(w + w + 9) = 74
  2. 4w + 18 = 74
  3. w = 14, so length = 23
6.Grace thinks of a number, multiplies it by 4 and then adds 1. The answer is 17. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 1 = 17
  2. 4n = 16
  3. n = 4
7.Amelia thinks of a number, multiplies it by 5 and then adds 1. The answer is 41. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 5n + 1 = 41
  2. 5n = 40
  3. n = 8
8.The sum of 2 consecutive whole numbers is 47. Find the numbers.

Answer: 23, 24

  1. n + (n + 1) = 47
  2. 2n + 1 = 47
  3. n = 23
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