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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.Ruby thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 32. What was the number?

Answer: 12

  1. 4(n − 4) = 32
  2. n − 4 = 8
  3. n = 12
2.Hunter thinks of a number, subtracts 5 and multiplies the result by 4. The answer is 4. What was the number?

Answer: 6

  1. 4(n − 5) = 4
  2. n − 5 = 1
  3. n = 6
3.Jayden thinks of a number, multiplies it by 4 and then adds 11. The answer is 27. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 11 = 27
  2. 4n = 16
  3. n = 4
4.Emma thinks of a number, multiplies it by 3 and then adds 10. The answer is 31. Write an equation and find the number.

Answer: 7

  1. Let the number be n: 3n + 10 = 31
  2. 3n = 21
  3. n = 7
5.Hunter thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 18. What was the number?

Answer: 14

  1. 3(n − 8) = 18
  2. n − 8 = 6
  3. n = 14
6.Liam thinks of a number, multiplies it by 2 and then adds 13. The answer is 27. Write an equation and find the number.

Answer: 7

  1. Let the number be n: 2n + 13 = 27
  2. 2n = 14
  3. n = 7
7.Emma thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 6. What was the number?

Answer: 5

  1. 3(n − 3) = 6
  2. n − 3 = 2
  3. n = 5
8.Emma thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 9. What was the number?

Answer: 11

  1. 3(n − 8) = 9
  2. n − 8 = 3
  3. n = 11
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