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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.Emma thinks of a number, multiplies it by 4 and then adds 4. The answer is 28. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 4n + 4 = 28
  2. 4n = 24
  3. n = 6
2.Zoe thinks of a number, multiplies it by 6 and then adds 15. The answer is 111. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 6n + 15 = 111
  2. 6n = 96
  3. n = 16
3.Priya thinks of a number, multiplies it by 4 and then adds 9. The answer is 45. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 4n + 9 = 45
  2. 4n = 36
  3. n = 9
4.Tom thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 12. What was the number?

Answer: 6

  1. 3(n − 2) = 12
  2. n − 2 = 4
  3. n = 6
5.Ruby thinks of a number, subtracts 8 and multiplies the result by 4. The answer is 20. What was the number?

Answer: 13

  1. 4(n − 8) = 20
  2. n − 8 = 5
  3. n = 13
6.Olivia thinks of a number, multiplies it by 2 and then adds 3. The answer is 11. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 2n + 3 = 11
  2. 2n = 8
  3. n = 4
7.Priya thinks of a number, multiplies it by 5 and then adds 4. The answer is 79. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 5n + 4 = 79
  2. 5n = 75
  3. n = 15
8.Jack thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 48. What was the number?

Answer: 21

  1. 3(n − 5) = 48
  2. n − 5 = 16
  3. n = 21
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