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10th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade linear equations worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations

10th 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.The sum of 4 consecutive whole numbers is 162. Find the numbers.

Answer: 39, 40, 41, 42

  1. n + (n + 1) + (n + 2) + (n + 3) = 162
  2. 4n + 6 = 162
  3. n = 39
2.The sum of 2 consecutive whole numbers is 101. Find the numbers.

Answer: 50, 51

  1. n + (n + 1) = 101
  2. 2n + 1 = 101
  3. n = 50
3.A rectangle is 9 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 15 cm, length 24 cm

  1. 2(w + w + 9) = 78
  2. 4w + 18 = 78
  3. w = 15, so length = 24
4.A rectangle is 1 cm longer than it is wide. Its perimeter is 38 cm. Find its width and length.

Answer: width 9 cm, length 10 cm

  1. 2(w + w + 1) = 38
  2. 4w + 2 = 38
  3. w = 9, so length = 10
5.The sum of 3 consecutive whole numbers is 51. Find the numbers.

Answer: 16, 17, 18

  1. n + (n + 1) + (n + 2) = 51
  2. 3n + 3 = 51
  3. n = 16
6.The sum of 4 consecutive whole numbers is 154. Find the numbers.

Answer: 37, 38, 39, 40

  1. n + (n + 1) + (n + 2) + (n + 3) = 154
  2. 4n + 6 = 154
  3. n = 37
7.Ethan buys some notebooks at $2.00 each and pays $7.00 for delivery. The total is $11.00. How many notebooks did Ethan buy?

Answer: 2

  1. 2.00n + 7.00 = 11.00
  2. 2.00n = 4.00
  3. n = 2
8.Tom buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $14.00. How many notebooks did Tom buy?

Answer: 5

  1. 2.00n + 4.00 = 14.00
  2. 2.00n = 10.00
  3. n = 5
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