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Year 8 Equation Word Problems Worksheet — Level 1 — 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 1 — 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.Mia thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 45. What was the number?

Answer: 19

  1. 3(n − 4) = 45
  2. n − 4 = 15
  3. n = 19
2.Ethan thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 40. What was the number?

Answer: 14

  1. 5(n − 6) = 40
  2. n − 6 = 8
  3. n = 14
3.Zoe thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 36. What was the number?

Answer: 22

  1. 2(n − 4) = 36
  2. n − 4 = 18
  3. n = 22
4.Chloe thinks of a number, multiplies it by 5 and then adds 3. The answer is 78. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 5n + 3 = 78
  2. 5n = 75
  3. n = 15
5.Lucas thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 39. What was the number?

Answer: 22

  1. 3(n − 9) = 39
  2. n − 9 = 13
  3. n = 22
6.Harper thinks of a number, subtracts 7 and multiplies the result by 3. The answer is 48. What was the number?

Answer: 23

  1. 3(n − 7) = 48
  2. n − 7 = 16
  3. n = 23
7.Aisha thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 50. What was the number?

Answer: 22

  1. 5(n − 12) = 50
  2. n − 12 = 10
  3. n = 22
8.Lucas thinks of a number, multiplies it by 5 and then adds 7. The answer is 22. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 7 = 22
  2. 5n = 15
  3. n = 3
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