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Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 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.Amelia thinks of a number, multiplies it by 2 and then adds 6. The answer is 38. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 2n + 6 = 38
  2. 2n = 32
  3. n = 16
2.Lucas thinks of a number, multiplies it by 2 and then adds 4. The answer is 22. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 2n + 4 = 22
  2. 2n = 18
  3. n = 9
3.Jayden thinks of a number, multiplies it by 4 and then adds 14. The answer is 90. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 4n + 14 = 90
  2. 4n = 76
  3. n = 19
4.Oliver thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 30. What was the number?

Answer: 14

  1. 5(n − 8) = 30
  2. n − 8 = 6
  3. n = 14
5.Cooper thinks of a number, multiplies it by 6 and then adds 12. The answer is 84. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 6n + 12 = 84
  2. 6n = 72
  3. n = 12
6.Oliver thinks of a number, multiplies it by 6 and then adds 4. The answer is 40. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 6n + 4 = 40
  2. 6n = 36
  3. n = 6
7.Aisha thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 48. What was the number?

Answer: 18

  1. 3(n − 2) = 48
  2. n − 2 = 16
  3. n = 18
8.Grace thinks of a number, subtracts 10 and multiplies the result by 3. The answer is 3. What was the number?

Answer: 11

  1. 3(n − 10) = 3
  2. n − 10 = 1
  3. n = 11
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