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Year 7 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 — 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.Amelia thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 18. What was the number?

Answer: 12

  1. 3(n − 6) = 18
  2. n − 6 = 6
  3. n = 12
2.Oliver thinks of a number, multiplies it by 3 and then adds 7. The answer is 67. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 3n + 7 = 67
  2. 3n = 60
  3. n = 20
3.Zoe thinks of a number, multiplies it by 6 and then adds 2. The answer is 38. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 6n + 2 = 38
  2. 6n = 36
  3. n = 6
4.Oliver thinks of a number, multiplies it by 2 and then adds 5. The answer is 21. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 2n + 5 = 21
  2. 2n = 16
  3. n = 8
5.Tom thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 8. What was the number?

Answer: 12

  1. 2(n − 8) = 8
  2. n − 8 = 4
  3. n = 12
6.Archie thinks of a number, multiplies it by 4 and then adds 7. The answer is 27. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 4n + 7 = 27
  2. 4n = 20
  3. n = 5
7.Noah thinks of a number, subtracts 10 and multiplies the result by 5. The answer is 10. What was the number?

Answer: 12

  1. 5(n − 10) = 10
  2. n − 10 = 2
  3. n = 12
8.Liam thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 26. What was the number?

Answer: 21

  1. 2(n − 8) = 26
  2. n − 8 = 13
  3. n = 21
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