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Year 7 Equation Word Problems Worksheet — Level 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 — 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.Ruby thinks of a number, multiplies it by 3 and then adds 15. The answer is 48. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 3n + 15 = 48
  2. 3n = 33
  3. n = 11
2.The sum of 2 consecutive whole numbers is 91. Find the numbers.

Answer: 45, 46

  1. n + (n + 1) = 91
  2. 2n + 1 = 91
  3. n = 45
3.Chloe thinks of a number, multiplies it by 5 and then adds 12. The answer is 92. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 5n + 12 = 92
  2. 5n = 80
  3. n = 16
4.Amelia thinks of a number, subtracts 10 and multiplies the result by 2. The answer is 8. What was the number?

Answer: 14

  1. 2(n − 10) = 8
  2. n − 10 = 4
  3. n = 14
5.A rectangle is 2 cm longer than it is wide. Its perimeter is 56 cm. Find its width and length.

Answer: width 13 cm, length 15 cm

  1. 2(w + w + 2) = 56
  2. 4w + 4 = 56
  3. w = 13, so length = 15
6.Jack thinks of a number, multiplies it by 2 and then adds 5. The answer is 25. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 2n + 5 = 25
  2. 2n = 20
  3. n = 10
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.

Answer: width 4 cm, length 5 cm

  1. 2(w + w + 1) = 18
  2. 4w + 2 = 18
  3. w = 4, so length = 5
8.A rectangle is 6 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.

Answer: width 14 cm, length 20 cm

  1. 2(w + w + 6) = 68
  2. 4w + 12 = 68
  3. w = 14, so length = 20
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