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Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — 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, multiplies it by 4 and then adds 3. The answer is 15. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 4n + 3 = 15
  2. 4n = 12
  3. n = 3
2.Lucas thinks of a number, multiplies it by 3 and then adds 7. The answer is 19. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 3n + 7 = 19
  2. 3n = 12
  3. n = 4
3.Mia thinks of a number, multiplies it by 5 and then adds 3. The answer is 63. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 5n + 3 = 63
  2. 5n = 60
  3. n = 12
4.Mia thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 92. What was the number?

Answer: 25

  1. 4(n − 2) = 92
  2. n − 2 = 23
  3. n = 25
5.Lucas thinks of a number, multiplies it by 5 and then adds 7. The answer is 37. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 7 = 37
  2. 5n = 30
  3. n = 6
6.Noah thinks of a number, multiplies it by 3 and then adds 8. The answer is 32. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 3n + 8 = 32
  2. 3n = 24
  3. n = 8
7.Zoe thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 28. What was the number?

Answer: 19

  1. 4(n − 12) = 28
  2. n − 12 = 7
  3. n = 19
8.Jayden thinks of a number, multiplies it by 2 and then adds 7. The answer is 27. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 2n + 7 = 27
  2. 2n = 20
  3. n = 10
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