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8th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 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 — Practice Set 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.Grace thinks of a number, multiplies it by 3 and then adds 15. The answer is 39. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 3n + 15 = 39
  2. 3n = 24
  3. n = 8
2.Mia thinks of a number, subtracts 11 and multiplies the result by 4. The answer is 12. What was the number?

Answer: 14

  1. 4(n − 11) = 12
  2. n − 11 = 3
  3. n = 14
3.A rectangle is 10 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.

Answer: width 7 cm, length 17 cm

  1. 2(w + w + 10) = 48
  2. 4w + 20 = 48
  3. w = 7, so length = 17
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 24 cm. Find its width and length.

Answer: width 5 cm, length 7 cm

  1. 2(w + w + 2) = 24
  2. 4w + 4 = 24
  3. w = 5, so length = 7
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.

Answer: width 11 cm, length 21 cm

  1. 2(w + w + 10) = 64
  2. 4w + 20 = 64
  3. w = 11, so length = 21
6.The sum of 4 consecutive whole numbers is 50. Find the numbers.

Answer: 11, 12, 13, 14

  1. n + (n + 1) + (n + 2) + (n + 3) = 50
  2. 4n + 6 = 50
  3. n = 11
7.Chloe thinks of a number, multiplies it by 2 and then adds 13. The answer is 45. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 2n + 13 = 45
  2. 2n = 32
  3. n = 16
8.Zoe thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 32. What was the number?

Answer: 18

  1. 4(n − 10) = 32
  2. n − 10 = 8
  3. n = 18
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