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Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 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.Priya thinks of a number, multiplies it by 5 and then adds 1. The answer is 91. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 5n + 1 = 91
  2. 5n = 90
  3. n = 18
2.Tom thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 20. What was the number?

Answer: 13

  1. 2(n − 3) = 20
  2. n − 3 = 10
  3. n = 13
3.Isla thinks of a number, subtracts 8 and multiplies the result by 4. The answer is 16. What was the number?

Answer: 12

  1. 4(n − 8) = 16
  2. n − 8 = 4
  3. n = 12
4.Archie thinks of a number, multiplies it by 3 and then adds 5. The answer is 50. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 3n + 5 = 50
  2. 3n = 45
  3. n = 15
5.Noah thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 20. What was the number?

Answer: 16

  1. 5(n − 12) = 20
  2. n − 12 = 4
  3. n = 16
6.Layla thinks of a number, multiplies it by 5 and then adds 10. The answer is 40. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 10 = 40
  2. 5n = 30
  3. n = 6
7.Kai thinks of a number, multiplies it by 5 and then adds 10. The answer is 110. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 5n + 10 = 110
  2. 5n = 100
  3. n = 20
8.Ethan thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 35. What was the number?

Answer: 9

  1. 5(n − 2) = 35
  2. n − 2 = 7
  3. n = 9
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