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Year 8 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 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 4 consecutive whole numbers is 130. Find the numbers.

Answer: 31, 32, 33, 34

  1. n + (n + 1) + (n + 2) + (n + 3) = 130
  2. 4n + 6 = 130
  3. n = 31
2.Noah thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 44. What was the number?

Answer: 18

  1. 4(n − 7) = 44
  2. n − 7 = 11
  3. n = 18
3.Jayden thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 54. What was the number?

Answer: 23

  1. 3(n − 5) = 54
  2. n − 5 = 18
  3. n = 23
4.Sienna thinks of a number, multiplies it by 4 and then adds 9. The answer is 77. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 4n + 9 = 77
  2. 4n = 68
  3. n = 17
5.The sum of 4 consecutive whole numbers is 106. Find the numbers.

Answer: 25, 26, 27, 28

  1. n + (n + 1) + (n + 2) + (n + 3) = 106
  2. 4n + 6 = 106
  3. n = 25
6.A rectangle is 4 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.

Answer: width 11 cm, length 15 cm

  1. 2(w + w + 4) = 52
  2. 4w + 8 = 52
  3. w = 11, so length = 15
7.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
8.Max thinks of a number, multiplies it by 4 and then adds 7. The answer is 67. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 4n + 7 = 67
  2. 4n = 60
  3. n = 15
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