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Year 7 Equation Word Problems Worksheet — Level 3 — 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 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 5 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 13 cm, length 18 cm

  1. 2(w + w + 5) = 62
  2. 4w + 10 = 62
  3. w = 13, so length = 18
2.Mia buys some notebooks at $1.50 each and pays $8.00 for delivery. The total is $12.50. How many notebooks did Mia buy?

Answer: 3

  1. 1.50n + 8.00 = 12.50
  2. 1.50n = 4.50
  3. n = 3
3.Zoe buys some notebooks at $1.50 each and pays $1.00 for delivery. The total is $10.00. How many notebooks did Zoe buy?

Answer: 6

  1. 1.50n + 1.00 = 10.00
  2. 1.50n = 9.00
  3. n = 6
4.Amelia buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $8.00. How many notebooks did Amelia buy?

Answer: 2

  1. 3.50n + 1.00 = 8.00
  2. 3.50n = 7.00
  3. n = 2
5.The sum of 4 consecutive whole numbers is 158. Find the numbers.

Answer: 38, 39, 40, 41

  1. n + (n + 1) + (n + 2) + (n + 3) = 158
  2. 4n + 6 = 158
  3. n = 38
6.The sum of 2 consecutive whole numbers is 75. Find the numbers.

Answer: 37, 38

  1. n + (n + 1) = 75
  2. 2n + 1 = 75
  3. n = 37
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.

Answer: width 8 cm, length 10 cm

  1. 2(w + w + 2) = 36
  2. 4w + 4 = 36
  3. w = 8, so length = 10
8.Tom buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $14.00. How many notebooks did Tom buy?

Answer: 2

  1. 3.50n + 7.00 = 14.00
  2. 3.50n = 7.00
  3. n = 2
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