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Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 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.Harper thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 24. What was the number?

Answer: 17

  1. 3(n − 9) = 24
  2. n − 9 = 8
  3. n = 17
2.Mia thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 18. What was the number?

Answer: 12

  1. 2(n − 3) = 18
  2. n − 3 = 9
  3. n = 12
3.Chloe thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 21. What was the number?

Answer: 11

  1. 3(n − 4) = 21
  2. n − 4 = 7
  3. n = 11
4.Olivia thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 39. What was the number?

Answer: 21

  1. 3(n − 8) = 39
  2. n − 8 = 13
  3. n = 21
5.Archie thinks of a number, multiplies it by 4 and then adds 10. The answer is 46. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 4n + 10 = 46
  2. 4n = 36
  3. n = 9
6.Zoe thinks of a number, multiplies it by 5 and then adds 12. The answer is 82. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 5n + 12 = 82
  2. 5n = 70
  3. n = 14
7.Ethan thinks of a number, multiplies it by 5 and then adds 12. The answer is 27. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 12 = 27
  2. 5n = 15
  3. n = 3
8.Leo thinks of a number, subtracts 10 and multiplies the result by 5. The answer is 5. What was the number?

Answer: 11

  1. 5(n − 10) = 5
  2. n − 10 = 1
  3. n = 11
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