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Year 7 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 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.Mason thinks of a number, multiplies it by 5 and then adds 2. The answer is 32. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 2 = 32
  2. 5n = 30
  3. n = 6
2.Jack thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 64. What was the number?

Answer: 18

  1. 4(n − 2) = 64
  2. n − 2 = 16
  3. n = 18
3.Archie thinks of a number, multiplies it by 3 and then adds 11. The answer is 53. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 3n + 11 = 53
  2. 3n = 42
  3. n = 14
4.Archie thinks of a number, multiplies it by 4 and then adds 10. The answer is 50. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 4n + 10 = 50
  2. 4n = 40
  3. n = 10
5.Olivia thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 24. What was the number?

Answer: 10

  1. 4(n − 4) = 24
  2. n − 4 = 6
  3. n = 10
6.Zoe thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 2. What was the number?

Answer: 5

  1. 2(n − 4) = 2
  2. n − 4 = 1
  3. n = 5
7.Jayden thinks of a number, multiplies it by 3 and then adds 3. The answer is 39. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 3n + 3 = 39
  2. 3n = 36
  3. n = 12
8.Mia thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 40. What was the number?

Answer: 13

  1. 4(n − 3) = 40
  2. n − 3 = 10
  3. n = 13
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