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8th Grade Equation Word Problems Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 8th Grade linear equations worksheet.

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Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations

8th Grade 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 3 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.

Answer: width 17 cm, length 20 cm

  1. 2(w + w + 3) = 74
  2. 4w + 6 = 74
  3. w = 17, so length = 20
2.The sum of 3 consecutive whole numbers is 57. Find the numbers.

Answer: 18, 19, 20

  1. n + (n + 1) + (n + 2) = 57
  2. 3n + 3 = 57
  3. n = 18
3.The sum of 4 consecutive whole numbers is 150. Find the numbers.

Answer: 36, 37, 38, 39

  1. n + (n + 1) + (n + 2) + (n + 3) = 150
  2. 4n + 6 = 150
  3. n = 36
4.A rectangle is 3 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.

Answer: width 3 cm, length 6 cm

  1. 2(w + w + 3) = 18
  2. 4w + 6 = 18
  3. w = 3, so length = 6
5.The sum of 4 consecutive whole numbers is 170. Find the numbers.

Answer: 41, 42, 43, 44

  1. n + (n + 1) + (n + 2) + (n + 3) = 170
  2. 4n + 6 = 170
  3. n = 41
6.Ava thinks of a number, multiplies it by 4 and then adds 3. The answer is 15. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 4n + 3 = 15
  2. 4n = 12
  3. n = 3
7.A rectangle is 6 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 12 cm, length 18 cm

  1. 2(w + w + 6) = 60
  2. 4w + 12 = 60
  3. w = 12, so length = 18
8.Aisha thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 55. What was the number?

Answer: 17

  1. 5(n − 6) = 55
  2. n − 6 = 11
  3. n = 17
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