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Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 8 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Equations

Year 8 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.Priya thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 90. What was the number?

Answer: 20

  1. 5(n − 2) = 90
  2. n − 2 = 18
  3. n = 20
2.Tom thinks of a number, multiplies it by 4 and then adds 10. The answer is 82. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 4n + 10 = 82
  2. 4n = 72
  3. n = 18
3.Ruby thinks of a number, multiplies it by 5 and then adds 6. The answer is 56. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 5n + 6 = 56
  2. 5n = 50
  3. n = 10
4.Archie thinks of a number, multiplies it by 6 and then adds 10. The answer is 70. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 6n + 10 = 70
  2. 6n = 60
  3. n = 10
5.Jayden thinks of a number, multiplies it by 6 and then adds 15. The answer is 81. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 6n + 15 = 81
  2. 6n = 66
  3. n = 11
6.Olivia thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 56. What was the number?

Answer: 16

  1. 4(n − 2) = 56
  2. n − 2 = 14
  3. n = 16
7.Oliver thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 33. What was the number?

Answer: 16

  1. 3(n − 5) = 33
  2. n − 5 = 11
  3. n = 16
8.Noah thinks of a number, multiplies it by 6 and then adds 12. The answer is 102. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 6n + 12 = 102
  2. 6n = 90
  3. n = 15
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