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Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 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.The sum of 4 consecutive whole numbers is 90. Find the numbers.

Answer: 21, 22, 23, 24

  1. n + (n + 1) + (n + 2) + (n + 3) = 90
  2. 4n + 6 = 90
  3. n = 21
2.Chloe buys some notebooks at $2.50 each and pays $7.00 for delivery. The total is $22.00. How many notebooks did Chloe buy?

Answer: 6

  1. 2.50n + 7.00 = 22.00
  2. 2.50n = 15.00
  3. n = 6
3.The sum of 3 consecutive whole numbers is 39. Find the numbers.

Answer: 12, 13, 14

  1. n + (n + 1) + (n + 2) = 39
  2. 3n + 3 = 39
  3. n = 12
4.Max buys some notebooks at $3.00 each and pays $4.00 for delivery. The total is $19.00. How many notebooks did Max buy?

Answer: 5

  1. 3.00n + 4.00 = 19.00
  2. 3.00n = 15.00
  3. n = 5
5.The sum of 4 consecutive whole numbers is 50. Find the numbers.

Answer: 11, 12, 13, 14

  1. n + (n + 1) + (n + 2) + (n + 3) = 50
  2. 4n + 6 = 50
  3. n = 11
6.A rectangle is 7 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 16 cm, length 23 cm

  1. 2(w + w + 7) = 78
  2. 4w + 14 = 78
  3. w = 16, so length = 23
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 22 cm. Find its width and length.

Answer: width 5 cm, length 6 cm

  1. 2(w + w + 1) = 22
  2. 4w + 2 = 22
  3. w = 5, so length = 6
8.The sum of 4 consecutive whole numbers is 58. Find the numbers.

Answer: 13, 14, 15, 16

  1. n + (n + 1) + (n + 2) + (n + 3) = 58
  2. 4n + 6 = 58
  3. n = 13
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