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Year 7 Equation Word Problems Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 Equation Word Problems Worksheet — Level 1 — 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.Noah thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 15. What was the number?

Answer: 11

  1. 5(n − 8) = 15
  2. n − 8 = 3
  3. n = 11
2.Olivia thinks of a number, multiplies it by 6 and then adds 9. The answer is 27. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 6n + 9 = 27
  2. 6n = 18
  3. n = 3
3.Harper thinks of a number, multiplies it by 5 and then adds 9. The answer is 24. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 9 = 24
  2. 5n = 15
  3. n = 3
4.Aisha thinks of a number, multiplies it by 5 and then adds 12. The answer is 107. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 5n + 12 = 107
  2. 5n = 95
  3. n = 19
5.Archie thinks of a number, multiplies it by 4 and then adds 11. The answer is 71. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 4n + 11 = 71
  2. 4n = 60
  3. n = 15
6.Liam thinks of a number, subtracts 11 and multiplies the result by 3. The answer is 18. What was the number?

Answer: 17

  1. 3(n − 11) = 18
  2. n − 11 = 6
  3. n = 17
7.Grace thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 8. What was the number?

Answer: 14

  1. 4(n − 12) = 8
  2. n − 12 = 2
  3. n = 14
8.Ava thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 44. What was the number?

Answer: 15

  1. 4(n − 4) = 44
  2. n − 4 = 11
  3. n = 15
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