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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.Leo thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 12. What was the number?

Answer: 7

  1. 4(n − 4) = 12
  2. n − 4 = 3
  3. n = 7
2.Grace thinks of a number, multiplies it by 5 and then adds 4. The answer is 24. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 5n + 4 = 24
  2. 5n = 20
  3. n = 4
3.Layla thinks of a number, multiplies it by 2 and then adds 15. The answer is 31. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 2n + 15 = 31
  2. 2n = 16
  3. n = 8
4.Chloe thinks of a number, multiplies it by 4 and then adds 15. The answer is 27. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 4n + 15 = 27
  2. 4n = 12
  3. n = 3
5.Kai thinks of a number, multiplies it by 5 and then adds 4. The answer is 49. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 5n + 4 = 49
  2. 5n = 45
  3. n = 9
6.Ava thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 3. What was the number?

Answer: 7

  1. 3(n − 6) = 3
  2. n − 6 = 1
  3. n = 7
7.Hunter thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 15. What was the number?

Answer: 17

  1. 3(n − 12) = 15
  2. n − 12 = 5
  3. n = 17
8.Archie thinks of a number, multiplies it by 2 and then adds 3. The answer is 7. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 2n + 3 = 7
  2. 2n = 4
  3. n = 2
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