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7th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 2 — 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 36 cm. Find its width and length.

Answer: width 4 cm, length 14 cm

  1. 2(w + w + 10) = 36
  2. 4w + 20 = 36
  3. w = 4, so length = 14
2.The sum of 3 consecutive whole numbers is 57. Find the numbers.

Answer: 18, 19, 20

  1. n + (n + 1) + (n + 2) = 57
  2. 3n + 3 = 57
  3. n = 18
3.The sum of 4 consecutive whole numbers is 134. Find the numbers.

Answer: 32, 33, 34, 35

  1. n + (n + 1) + (n + 2) + (n + 3) = 134
  2. 4n + 6 = 134
  3. n = 32
4.A rectangle is 4 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 13 cm, length 17 cm

  1. 2(w + w + 4) = 60
  2. 4w + 8 = 60
  3. w = 13, so length = 17
5.Chloe buys some notebooks at $3.50 each and pays $3.00 for delivery. The total is $10.00. How many notebooks did Chloe buy?

Answer: 2

  1. 3.50n + 3.00 = 10.00
  2. 3.50n = 7.00
  3. n = 2
6.Jayden buys some notebooks at $1.50 each and pays $3.00 for delivery. The total is $9.00. How many notebooks did Jayden buy?

Answer: 4

  1. 1.50n + 3.00 = 9.00
  2. 1.50n = 6.00
  3. n = 4
7.Priya buys some notebooks at $4.50 each and pays $2.00 for delivery. The total is $15.50. How many notebooks did Priya buy?

Answer: 3

  1. 4.50n + 2.00 = 15.50
  2. 4.50n = 13.50
  3. n = 3
8.The sum of 4 consecutive whole numbers is 202. Find the numbers.

Answer: 49, 50, 51, 52

  1. n + (n + 1) + (n + 2) + (n + 3) = 202
  2. 4n + 6 = 202
  3. n = 49
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