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Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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 2 — 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.Jayden thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 50. What was the number?

Answer: 22

  1. 5(n − 12) = 50
  2. n − 12 = 10
  3. n = 22
2.Mason thinks of a number, multiplies it by 5 and then adds 10. The answer is 25. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 10 = 25
  2. 5n = 15
  3. n = 3
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.

Answer: width 9 cm, length 17 cm

  1. 2(w + w + 8) = 52
  2. 4w + 16 = 52
  3. w = 9, so length = 17
4.The sum of 2 consecutive whole numbers is 17. Find the numbers.

Answer: 8, 9

  1. n + (n + 1) = 17
  2. 2n + 1 = 17
  3. n = 8
5.The sum of 2 consecutive whole numbers is 23. Find the numbers.

Answer: 11, 12

  1. n + (n + 1) = 23
  2. 2n + 1 = 23
  3. n = 11
6.A rectangle is 9 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.

Answer: width 10 cm, length 19 cm

  1. 2(w + w + 9) = 58
  2. 4w + 18 = 58
  3. w = 10, so length = 19
7.A rectangle is 5 cm longer than it is wide. Its perimeter is 22 cm. Find its width and length.

Answer: width 3 cm, length 8 cm

  1. 2(w + w + 5) = 22
  2. 4w + 10 = 22
  3. w = 3, so length = 8
8.Sienna thinks of a number, multiplies it by 3 and then adds 15. The answer is 45. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 3n + 15 = 45
  2. 3n = 30
  3. n = 10
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