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7th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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 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.Sienna buys some notebooks at $4.00 each and pays $6.00 for delivery. The total is $18.00. How many notebooks did Sienna buy?

Answer: 3

  1. 4.00n + 6.00 = 18.00
  2. 4.00n = 12.00
  3. n = 3
2.The sum of 2 consecutive whole numbers is 29. Find the numbers.

Answer: 14, 15

  1. n + (n + 1) = 29
  2. 2n + 1 = 29
  3. n = 14
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.

Answer: width 5 cm, length 13 cm

  1. 2(w + w + 8) = 36
  2. 4w + 16 = 36
  3. w = 5, so length = 13
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 20 cm. Find its width and length.

Answer: width 4 cm, length 6 cm

  1. 2(w + w + 2) = 20
  2. 4w + 4 = 20
  3. w = 4, so length = 6
5.Layla buys some notebooks at $4.50 each and pays $1.00 for delivery. The total is $19.00. How many notebooks did Layla buy?

Answer: 4

  1. 4.50n + 1.00 = 19.00
  2. 4.50n = 18.00
  3. n = 4
6.Noah buys some notebooks at $1.00 each and pays $2.00 for delivery. The total is $6.00. How many notebooks did Noah buy?

Answer: 4

  1. 1.00n + 2.00 = 6.00
  2. 1.00n = 4.00
  3. n = 4
7.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
8.Harper buys some notebooks at $1.00 each and pays $4.00 for delivery. The total is $6.00. How many notebooks did Harper buy?

Answer: 2

  1. 1.00n + 4.00 = 6.00
  2. 1.00n = 2.00
  3. n = 2
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