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Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 — 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.Leo thinks of a number, multiplies it by 2 and then adds 4. The answer is 42. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 2n + 4 = 42
  2. 2n = 38
  3. n = 19
2.Cooper thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 10. What was the number?

Answer: 12

  1. 2(n − 7) = 10
  2. n − 7 = 5
  3. n = 12
3.Ethan thinks of a number, multiplies it by 3 and then adds 13. The answer is 67. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 3n + 13 = 67
  2. 3n = 54
  3. n = 18
4.Ethan thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 22. What was the number?

Answer: 20

  1. 2(n − 9) = 22
  2. n − 9 = 11
  3. n = 20
5.Aisha thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 36. What was the number?

Answer: 24

  1. 2(n − 6) = 36
  2. n − 6 = 18
  3. n = 24
6.Kai thinks of a number, multiplies it by 3 and then adds 9. The answer is 36. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 3n + 9 = 36
  2. 3n = 27
  3. n = 9
7.Max thinks of a number, multiplies it by 2 and then adds 1. The answer is 29. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 2n + 1 = 29
  2. 2n = 28
  3. n = 14
8.Hunter thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 20. What was the number?

Answer: 12

  1. 2(n − 2) = 20
  2. n − 2 = 10
  3. n = 12
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