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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.Oliver thinks of a number, multiplies it by 5 and then adds 1. The answer is 66. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 5n + 1 = 66
  2. 5n = 65
  3. n = 13
2.Ethan thinks of a number, multiplies it by 2 and then adds 12. The answer is 18. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 2n + 12 = 18
  2. 2n = 6
  3. n = 3
3.Kai thinks of a number, multiplies it by 3 and then adds 7. The answer is 22. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 3n + 7 = 22
  2. 3n = 15
  3. n = 5
4.Ethan thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 16. What was the number?

Answer: 7

  1. 4(n − 3) = 16
  2. n − 3 = 4
  3. n = 7
5.Liam thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 52. What was the number?

Answer: 23

  1. 4(n − 10) = 52
  2. n − 10 = 13
  3. n = 23
6.Harper 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
7.Leo thinks of a number, multiplies it by 5 and then adds 11. The answer is 81. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 5n + 11 = 81
  2. 5n = 70
  3. n = 14
8.Tom thinks of a number, multiplies it by 6 and then adds 14. The answer is 128. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 6n + 14 = 128
  2. 6n = 114
  3. n = 19
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