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Year 9 Equation Word Problems Worksheet — Level 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 — 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 $1.50 each and pays $7.00 for delivery. The total is $14.50. How many notebooks did Sienna buy?

Answer: 5

  1. 1.50n + 7.00 = 14.50
  2. 1.50n = 7.50
  3. n = 5
2.Ava buys some notebooks at $3.00 each and pays $1.00 for delivery. The total is $10.00. How many notebooks did Ava buy?

Answer: 3

  1. 3.00n + 1.00 = 10.00
  2. 3.00n = 9.00
  3. n = 3
3.A rectangle is 3 cm longer than it is wide. Its perimeter is 38 cm. Find its width and length.

Answer: width 8 cm, length 11 cm

  1. 2(w + w + 3) = 38
  2. 4w + 6 = 38
  3. w = 8, so length = 11
4.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
5.Aisha buys some notebooks at $4.50 each and pays $5.00 for delivery. The total is $32.00. How many notebooks did Aisha buy?

Answer: 6

  1. 4.50n + 5.00 = 32.00
  2. 4.50n = 27.00
  3. n = 6
6.Ruby buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $8.00. How many notebooks did Ruby buy?

Answer: 2

  1. 2.00n + 4.00 = 8.00
  2. 2.00n = 4.00
  3. n = 2
7.A rectangle is 4 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.

Answer: width 18 cm, length 22 cm

  1. 2(w + w + 4) = 80
  2. 4w + 8 = 80
  3. w = 18, so length = 22
8.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
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