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Year 8 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — 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 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.The sum of 3 consecutive whole numbers is 18. Find the numbers.

Answer: 5, 6, 7

  1. n + (n + 1) + (n + 2) = 18
  2. 3n + 3 = 18
  3. n = 5
2.Amelia thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 30. What was the number?

Answer: 17

  1. 2(n − 2) = 30
  2. n − 2 = 15
  3. n = 17
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.

Answer: width 17 cm, length 23 cm

  1. 2(w + w + 6) = 80
  2. 4w + 12 = 80
  3. w = 17, so length = 23
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 72 cm. Find its width and length.

Answer: width 17 cm, length 19 cm

  1. 2(w + w + 2) = 72
  2. 4w + 4 = 72
  3. w = 17, so length = 19
5.The sum of 2 consecutive whole numbers is 99. Find the numbers.

Answer: 49, 50

  1. n + (n + 1) = 99
  2. 2n + 1 = 99
  3. n = 49
6.A rectangle is 9 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.

Answer: width 9 cm, length 18 cm

  1. 2(w + w + 9) = 54
  2. 4w + 18 = 54
  3. w = 9, so length = 18
7.Aisha thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 24. What was the number?

Answer: 19

  1. 2(n − 7) = 24
  2. n − 7 = 12
  3. n = 19
8.Olivia thinks of a number, multiplies it by 3 and then adds 14. The answer is 74. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 3n + 14 = 74
  2. 3n = 60
  3. n = 20
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