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Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 2 — 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.Ethan thinks of a number, multiplies it by 6 and then adds 6. The answer is 126. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 6n + 6 = 126
  2. 6n = 120
  3. n = 20
2.Priya thinks of a number, multiplies it by 5 and then adds 12. The answer is 57. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 5n + 12 = 57
  2. 5n = 45
  3. n = 9
3.Emma thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 40. What was the number?

Answer: 12

  1. 4(n − 2) = 40
  2. n − 2 = 10
  3. n = 12
4.Cooper thinks of a number, multiplies it by 5 and then adds 2. The answer is 12. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 5n + 2 = 12
  2. 5n = 10
  3. n = 2
5.Ethan thinks of a number, multiplies it by 3 and then adds 4. The answer is 58. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 3n + 4 = 58
  2. 3n = 54
  3. n = 18
6.Mason thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 60. What was the number?

Answer: 21

  1. 4(n − 6) = 60
  2. n − 6 = 15
  3. n = 21
7.Cooper thinks of a number, multiplies it by 3 and then adds 4. The answer is 58. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 3n + 4 = 58
  2. 3n = 54
  3. n = 18
8.Jayden thinks of a number, multiplies it by 3 and then adds 4. The answer is 28. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 3n + 4 = 28
  2. 3n = 24
  3. n = 8
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