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Year 11 Equation Word Problems Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 11 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Equations

Year 11 Equation Word Problems Worksheet — Level 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.A rectangle is 1 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.

Answer: width 6 cm, length 7 cm

  1. 2(w + w + 1) = 26
  2. 4w + 2 = 26
  3. w = 6, so length = 7
2.Archie thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 6. What was the number?

Answer: 11

  1. 2(n − 8) = 6
  2. n − 8 = 3
  3. n = 11
3.A rectangle is 7 cm longer than it is wide. Its perimeter is 70 cm. Find its width and length.

Answer: width 14 cm, length 21 cm

  1. 2(w + w + 7) = 70
  2. 4w + 14 = 70
  3. w = 14, so length = 21
4.Olivia thinks of a number, multiplies it by 2 and then adds 11. The answer is 19. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 2n + 11 = 19
  2. 2n = 8
  3. n = 4
5.A rectangle is 3 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.

Answer: width 3 cm, length 6 cm

  1. 2(w + w + 3) = 18
  2. 4w + 6 = 18
  3. w = 3, so length = 6
6.Cooper thinks of a number, multiplies it by 5 and then adds 1. The answer is 11. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 5n + 1 = 11
  2. 5n = 10
  3. n = 2
7.Ava thinks of a number, multiplies it by 4 and then adds 5. The answer is 73. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 4n + 5 = 73
  2. 4n = 68
  3. n = 17
8.Hunter thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 57. What was the number?

Answer: 21

  1. 3(n − 2) = 57
  2. n − 2 = 19
  3. n = 21
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