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Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 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 2 consecutive whole numbers is 101. Find the numbers.

Answer: 50, 51

  1. n + (n + 1) = 101
  2. 2n + 1 = 101
  3. n = 50
2.A rectangle is 1 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 15 cm, length 16 cm

  1. 2(w + w + 1) = 62
  2. 4w + 2 = 62
  3. w = 15, so length = 16
3.Lucas buys some notebooks at $4.00 each and pays $6.00 for delivery. The total is $14.00. How many notebooks did Lucas buy?

Answer: 2

  1. 4.00n + 6.00 = 14.00
  2. 4.00n = 8.00
  3. n = 2
4.Noah buys some notebooks at $1.50 each and pays $6.00 for delivery. The total is $12.00. How many notebooks did Noah buy?

Answer: 4

  1. 1.50n + 6.00 = 12.00
  2. 1.50n = 6.00
  3. n = 4
5.Max buys some notebooks at $4.00 each and pays $1.00 for delivery. The total is $9.00. How many notebooks did Max buy?

Answer: 2

  1. 4.00n + 1.00 = 9.00
  2. 4.00n = 8.00
  3. n = 2
6.The sum of 4 consecutive whole numbers is 150. Find the numbers.

Answer: 36, 37, 38, 39

  1. n + (n + 1) + (n + 2) + (n + 3) = 150
  2. 4n + 6 = 150
  3. n = 36
7.The sum of 2 consecutive whole numbers is 119. Find the numbers.

Answer: 59, 60

  1. n + (n + 1) = 119
  2. 2n + 1 = 119
  3. n = 59
8.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.

Answer: width 19 cm, length 29 cm

  1. 2(w + w + 10) = 96
  2. 4w + 20 = 96
  3. w = 19, so length = 29
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