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Year 10 Equation Word Problems Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 10 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 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.Layla thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 51. What was the number?

Answer: 25

  1. 3(n − 8) = 51
  2. n − 8 = 17
  3. n = 25
2.Mason thinks of a number, multiplies it by 4 and then adds 15. The answer is 23. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 4n + 15 = 23
  2. 4n = 8
  3. n = 2
3.Ava thinks of a number, multiplies it by 2 and then adds 9. The answer is 31. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 2n + 9 = 31
  2. 2n = 22
  3. n = 11
4.Ava thinks of a number, multiplies it by 2 and then adds 11. The answer is 21. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 2n + 11 = 21
  2. 2n = 10
  3. n = 5
5.Isla thinks of a number, multiplies it by 3 and then adds 3. The answer is 54. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 3n + 3 = 54
  2. 3n = 51
  3. n = 17
6.Tom thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 95. What was the number?

Answer: 22

  1. 5(n − 3) = 95
  2. n − 3 = 19
  3. n = 22
7.Zoe thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 4. What was the number?

Answer: 3

  1. 4(n − 2) = 4
  2. n − 2 = 1
  3. n = 3
8.Jack thinks of a number, subtracts 5 and multiplies the result by 4. The answer is 68. What was the number?

Answer: 22

  1. 4(n − 5) = 68
  2. n − 5 = 17
  3. n = 22
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