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7th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 7th Grade linear equations worksheet.

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Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations

7th Grade 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.The sum of 4 consecutive whole numbers is 86. Find the numbers.

Answer: 20, 21, 22, 23

  1. n + (n + 1) + (n + 2) + (n + 3) = 86
  2. 4n + 6 = 86
  3. n = 20
2.A rectangle is 9 cm longer than it is wide. Its perimeter is 86 cm. Find its width and length.

Answer: width 17 cm, length 26 cm

  1. 2(w + w + 9) = 86
  2. 4w + 18 = 86
  3. w = 17, so length = 26
3.Tom buys some notebooks at $1.50 each and pays $1.00 for delivery. The total is $8.50. How many notebooks did Tom buy?

Answer: 5

  1. 1.50n + 1.00 = 8.50
  2. 1.50n = 7.50
  3. n = 5
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 14 cm, length 16 cm

  1. 2(w + w + 2) = 60
  2. 4w + 4 = 60
  3. w = 14, so length = 16
5.Ruby buys some notebooks at $1.50 each and pays $4.00 for delivery. The total is $13.00. How many notebooks did Ruby buy?

Answer: 6

  1. 1.50n + 4.00 = 13.00
  2. 1.50n = 9.00
  3. n = 6
6.A rectangle is 10 cm longer than it is wide. Its perimeter is 72 cm. Find its width and length.

Answer: width 13 cm, length 23 cm

  1. 2(w + w + 10) = 72
  2. 4w + 20 = 72
  3. w = 13, so length = 23
7.The sum of 4 consecutive whole numbers is 110. Find the numbers.

Answer: 26, 27, 28, 29

  1. n + (n + 1) + (n + 2) + (n + 3) = 110
  2. 4n + 6 = 110
  3. n = 26
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 14 cm. Find its width and length.

Answer: width 3 cm, length 4 cm

  1. 2(w + w + 1) = 14
  2. 4w + 2 = 14
  3. w = 3, so length = 4
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