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Year 9 Equation Word Problems Worksheet — Level 1 — 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 — 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, subtracts 5 and multiplies the result by 4. The answer is 16. What was the number?

Answer: 9

  1. 4(n − 5) = 16
  2. n − 5 = 4
  3. n = 9
2.Tom thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 14. What was the number?

Answer: 11

  1. 2(n − 4) = 14
  2. n − 4 = 7
  3. n = 11
3.Olivia thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 65. What was the number?

Answer: 19

  1. 5(n − 6) = 65
  2. n − 6 = 13
  3. n = 19
4.Oliver thinks of a number, multiplies it by 3 and then adds 4. The answer is 43. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 3n + 4 = 43
  2. 3n = 39
  3. n = 13
5.Sienna thinks of a number, multiplies it by 3 and then adds 3. The answer is 21. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 3n + 3 = 21
  2. 3n = 18
  3. n = 6
6.Isla thinks of a number, multiplies it by 4 and then adds 6. The answer is 74. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 4n + 6 = 74
  2. 4n = 68
  3. n = 17
7.Cooper thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 45. What was the number?

Answer: 19

  1. 3(n − 4) = 45
  2. n − 4 = 15
  3. n = 19
8.Tom thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 54. What was the number?

Answer: 23

  1. 3(n − 5) = 54
  2. n − 5 = 18
  3. n = 23
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