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

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

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 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.Harper buys some notebooks at $4.50 each and pays $3.00 for delivery. The total is $16.50. How many notebooks did Harper buy?

Answer: 3

  1. 4.50n + 3.00 = 16.50
  2. 4.50n = 13.50
  3. n = 3
2.Tom buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $11.50. How many notebooks did Tom buy?

Answer: 3

  1. 3.50n + 1.00 = 11.50
  2. 3.50n = 10.50
  3. n = 3
3.Lucas buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $15.00. How many notebooks did Lucas buy?

Answer: 4

  1. 3.50n + 1.00 = 15.00
  2. 3.50n = 14.00
  3. n = 4
4.Cooper buys some notebooks at $4.50 each and pays $7.00 for delivery. The total is $25.00. How many notebooks did Cooper buy?

Answer: 4

  1. 4.50n + 7.00 = 25.00
  2. 4.50n = 18.00
  3. n = 4
5.A rectangle is 6 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 12 cm, length 18 cm

  1. 2(w + w + 6) = 60
  2. 4w + 12 = 60
  3. w = 12, so length = 18
6.The sum of 2 consecutive whole numbers is 11. Find the numbers.

Answer: 5, 6

  1. n + (n + 1) = 11
  2. 2n + 1 = 11
  3. n = 5
7.Emma buys some notebooks at $4.00 each and pays $6.00 for delivery. The total is $14.00. How many notebooks did Emma buy?

Answer: 2

  1. 4.00n + 6.00 = 14.00
  2. 4.00n = 8.00
  3. n = 2
8.A rectangle is 5 cm longer than it is wide. Its perimeter is 90 cm. Find its width and length.

Answer: width 20 cm, length 25 cm

  1. 2(w + w + 5) = 90
  2. 4w + 10 = 90
  3. w = 20, so length = 25
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