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Year 8 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Equations

Year 8 Equation Word Problems Worksheet — Level 3 — 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.A rectangle is 10 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.

Answer: width 7 cm, length 17 cm

  1. 2(w + w + 10) = 48
  2. 4w + 20 = 48
  3. w = 7, so length = 17
2.The sum of 3 consecutive whole numbers is 51. Find the numbers.

Answer: 16, 17, 18

  1. n + (n + 1) + (n + 2) = 51
  2. 3n + 3 = 51
  3. n = 16
3.The sum of 3 consecutive whole numbers is 120. Find the numbers.

Answer: 39, 40, 41

  1. n + (n + 1) + (n + 2) = 120
  2. 3n + 3 = 120
  3. n = 39
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 44 cm. Find its width and length.

Answer: width 10 cm, length 12 cm

  1. 2(w + w + 2) = 44
  2. 4w + 4 = 44
  3. w = 10, so length = 12
5.A rectangle is 1 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 15 cm, length 16 cm

  1. 2(w + w + 1) = 62
  2. 4w + 2 = 62
  3. w = 15, so length = 16
6.Chloe buys some notebooks at $2.00 each and pays $2.00 for delivery. The total is $12.00. How many notebooks did Chloe buy?

Answer: 5

  1. 2.00n + 2.00 = 12.00
  2. 2.00n = 10.00
  3. n = 5
7.The sum of 2 consecutive whole numbers is 15. Find the numbers.

Answer: 7, 8

  1. n + (n + 1) = 15
  2. 2n + 1 = 15
  3. n = 7
8.A rectangle is 6 cm longer than it is wide. Its perimeter is 56 cm. Find its width and length.

Answer: width 11 cm, length 17 cm

  1. 2(w + w + 6) = 56
  2. 4w + 12 = 56
  3. w = 11, so length = 17
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