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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.Lucas thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 20. What was the number?

Answer: 18

  1. 2(n − 8) = 20
  2. n − 8 = 10
  3. n = 18
2.Noah 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
3.Ruby thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 95. What was the number?

Answer: 21

  1. 5(n − 2) = 95
  2. n − 2 = 19
  3. n = 21
4.Harper thinks of a number, multiplies it by 3 and then adds 12. The answer is 36. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 3n + 12 = 36
  2. 3n = 24
  3. n = 8
5.Olivia thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 24. What was the number?

Answer: 14

  1. 2(n − 2) = 24
  2. n − 2 = 12
  3. n = 14
6.Chloe thinks of a number, multiplies it by 6 and then adds 14. The answer is 62. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 6n + 14 = 62
  2. 6n = 48
  3. n = 8
7.Kai thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 39. What was the number?

Answer: 25

  1. 3(n − 12) = 39
  2. n − 12 = 13
  3. n = 25
8.Kai thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 36. What was the number?

Answer: 24

  1. 3(n − 12) = 36
  2. n − 12 = 12
  3. n = 24
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