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Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — 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.Kai thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 105. What was the number?

Answer: 24

  1. 5(n − 3) = 105
  2. n − 3 = 21
  3. n = 24
2.Mason thinks of a number, multiplies it by 5 and then adds 12. The answer is 42. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 12 = 42
  2. 5n = 30
  3. n = 6
3.Liam thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 30. What was the number?

Answer: 13

  1. 3(n − 3) = 30
  2. n − 3 = 10
  3. n = 13
4.Emma thinks of a number, multiplies it by 2 and then adds 4. The answer is 34. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 2n + 4 = 34
  2. 2n = 30
  3. n = 15
5.Layla thinks of a number, multiplies it by 4 and then adds 10. The answer is 30. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 4n + 10 = 30
  2. 4n = 20
  3. n = 5
6.Amelia thinks of a number, multiplies it by 6 and then adds 12. The answer is 120. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 6n + 12 = 120
  2. 6n = 108
  3. n = 18
7.Grace thinks of a number, multiplies it by 2 and then adds 9. The answer is 29. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 2n + 9 = 29
  2. 2n = 20
  3. n = 10
8.Emma thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 63. What was the number?

Answer: 25

  1. 3(n − 4) = 63
  2. n − 4 = 21
  3. n = 25
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