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Year 8 Equation Word Problems Worksheet — Level 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 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.A rectangle is 8 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.

Answer: width 20 cm, length 28 cm

  1. 2(w + w + 8) = 96
  2. 4w + 16 = 96
  3. w = 20, so length = 28
2.Hunter thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 51. What was the number?

Answer: 23

  1. 3(n − 6) = 51
  2. n − 6 = 17
  3. n = 23
3.The sum of 4 consecutive whole numbers is 122. Find the numbers.

Answer: 29, 30, 31, 32

  1. n + (n + 1) + (n + 2) + (n + 3) = 122
  2. 4n + 6 = 122
  3. n = 29
4.Kai thinks of a number, multiplies it by 6 and then adds 8. The answer is 38. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 6n + 8 = 38
  2. 6n = 30
  3. n = 5
5.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
6.The sum of 4 consecutive whole numbers is 162. Find the numbers.

Answer: 39, 40, 41, 42

  1. n + (n + 1) + (n + 2) + (n + 3) = 162
  2. 4n + 6 = 162
  3. n = 39
7.Cooper thinks of a number, multiplies it by 3 and then adds 6. The answer is 27. Write an equation and find the number.

Answer: 7

  1. Let the number be n: 3n + 6 = 27
  2. 3n = 21
  3. n = 7
8.Harper thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 4. What was the number?

Answer: 14

  1. 2(n − 12) = 4
  2. n − 12 = 2
  3. n = 14
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