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Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 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, subtracts 5 and multiplies the result by 4. The answer is 4. What was the number?

Answer: 6

  1. 4(n − 5) = 4
  2. n − 5 = 1
  3. n = 6
2.Chloe thinks of a number, multiplies it by 5 and then adds 2. The answer is 87. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 5n + 2 = 87
  2. 5n = 85
  3. n = 17
3.Jayden thinks of a number, multiplies it by 6 and then adds 15. The answer is 39. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 6n + 15 = 39
  2. 6n = 24
  3. n = 4
4.Isla thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 24. What was the number?

Answer: 19

  1. 2(n − 7) = 24
  2. n − 7 = 12
  3. n = 19
5.Olivia thinks of a number, multiplies it by 2 and then adds 1. The answer is 39. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 2n + 1 = 39
  2. 2n = 38
  3. n = 19
6.Hunter thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 20. What was the number?

Answer: 18

  1. 2(n − 8) = 20
  2. n − 8 = 10
  3. n = 18
7.Lucas thinks of a number, multiplies it by 3 and then adds 6. The answer is 48. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 3n + 6 = 48
  2. 3n = 42
  3. n = 14
8.Archie thinks of a number, subtracts 11 and multiplies the result by 2. The answer is 4. What was the number?

Answer: 13

  1. 2(n − 11) = 4
  2. n − 11 = 2
  3. n = 13
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