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Year 8 Equation Word Problems Worksheet — Level 1 — 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 — 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.Liam thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 9. What was the number?

Answer: 9

  1. 3(n − 6) = 9
  2. n − 6 = 3
  3. n = 9
2.Cooper thinks of a number, multiplies it by 5 and then adds 1. The answer is 66. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 5n + 1 = 66
  2. 5n = 65
  3. n = 13
3.Leo thinks of a number, multiplies it by 5 and then adds 7. The answer is 102. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 5n + 7 = 102
  2. 5n = 95
  3. n = 19
4.Lucas thinks of a number, multiplies it by 6 and then adds 11. The answer is 65. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 6n + 11 = 65
  2. 6n = 54
  3. n = 9
5.Hunter thinks of a number, multiplies it by 5 and then adds 12. The answer is 37. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 5n + 12 = 37
  2. 5n = 25
  3. n = 5
6.Mason thinks of a number, multiplies it by 4 and then adds 9. The answer is 25. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 9 = 25
  2. 4n = 16
  3. n = 4
7.Amelia thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 32. What was the number?

Answer: 24

  1. 2(n − 8) = 32
  2. n − 8 = 16
  3. n = 24
8.Priya thinks of a number, multiplies it by 4 and then adds 5. The answer is 37. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 4n + 5 = 37
  2. 4n = 32
  3. n = 8
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