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Year 8 Equation Word Problems Worksheet — Level 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 — 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.The sum of 3 consecutive whole numbers is 93. Find the numbers.

Answer: 30, 31, 32

  1. n + (n + 1) + (n + 2) = 93
  2. 3n + 3 = 93
  3. n = 30
2.Priya buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $14.00. How many notebooks did Priya buy?

Answer: 2

  1. 3.50n + 7.00 = 14.00
  2. 3.50n = 7.00
  3. n = 2
3.Noah buys some notebooks at $4.00 each and pays $4.00 for delivery. The total is $16.00. How many notebooks did Noah buy?

Answer: 3

  1. 4.00n + 4.00 = 16.00
  2. 4.00n = 12.00
  3. n = 3
4.The sum of 2 consecutive whole numbers is 119. Find the numbers.

Answer: 59, 60

  1. n + (n + 1) = 119
  2. 2n + 1 = 119
  3. n = 59
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 92 cm. Find its width and length.

Answer: width 19 cm, length 27 cm

  1. 2(w + w + 8) = 92
  2. 4w + 16 = 92
  3. w = 19, so length = 27
6.A rectangle is 4 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.

Answer: width 11 cm, length 15 cm

  1. 2(w + w + 4) = 52
  2. 4w + 8 = 52
  3. w = 11, so length = 15
7.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
8.A rectangle is 5 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.

Answer: width 9 cm, length 14 cm

  1. 2(w + w + 5) = 46
  2. 4w + 10 = 46
  3. w = 9, so length = 14
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