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Year 11 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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 3 — Practice Set 4 — 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 2 consecutive whole numbers is 27. Find the numbers.

Answer: 13, 14

  1. n + (n + 1) = 27
  2. 2n + 1 = 27
  3. n = 13
2.Ethan buys some notebooks at $1.50 each and pays $6.00 for delivery. The total is $9.00. How many notebooks did Ethan buy?

Answer: 2

  1. 1.50n + 6.00 = 9.00
  2. 1.50n = 3.00
  3. n = 2
3.A rectangle is 7 cm longer than it is wide. Its perimeter is 22 cm. Find its width and length.

Answer: width 2 cm, length 9 cm

  1. 2(w + w + 7) = 22
  2. 4w + 14 = 22
  3. w = 2, so length = 9
4.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.

Answer: width 19 cm, length 29 cm

  1. 2(w + w + 10) = 96
  2. 4w + 20 = 96
  3. w = 19, so length = 29
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.

Answer: width 15 cm, length 25 cm

  1. 2(w + w + 10) = 80
  2. 4w + 20 = 80
  3. w = 15, so length = 25
6.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
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.

Answer: width 20 cm, length 22 cm

  1. 2(w + w + 2) = 84
  2. 4w + 4 = 84
  3. w = 20, so length = 22
8.Grace buys some notebooks at $4.00 each and pays $4.00 for delivery. The total is $16.00. How many notebooks did Grace buy?

Answer: 3

  1. 4.00n + 4.00 = 16.00
  2. 4.00n = 12.00
  3. n = 3
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