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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.Zoe thinks of a number, multiplies it by 3 and then adds 13. The answer is 61. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 3n + 13 = 61
  2. 3n = 48
  3. n = 16
2.Jayden thinks of a number, multiplies it by 6 and then adds 8. The answer is 44. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 6n + 8 = 44
  2. 6n = 36
  3. n = 6
3.Ruby thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 75. What was the number?

Answer: 20

  1. 5(n − 5) = 75
  2. n − 5 = 15
  3. n = 20
4.Cooper thinks of a number, multiplies it by 3 and then adds 12. The answer is 54. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 3n + 12 = 54
  2. 3n = 42
  3. n = 14
5.Jayden thinks of a number, multiplies it by 5 and then adds 10. The answer is 100. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 5n + 10 = 100
  2. 5n = 90
  3. n = 18
6.Emma thinks of a number, multiplies it by 2 and then adds 10. The answer is 48. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 2n + 10 = 48
  2. 2n = 38
  3. n = 19
7.Amelia thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 44. What was the number?

Answer: 20

  1. 4(n − 9) = 44
  2. n − 9 = 11
  3. n = 20
8.Hunter thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 8. What was the number?

Answer: 8

  1. 4(n − 6) = 8
  2. n − 6 = 2
  3. n = 8
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