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Year 10 Equation Word Problems Worksheet — Level 3 — 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 — 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.Max buys some notebooks at $4.00 each and pays $7.00 for delivery. The total is $15.00. How many notebooks did Max buy?

Answer: 2

  1. 4.00n + 7.00 = 15.00
  2. 4.00n = 8.00
  3. n = 2
2.The sum of 4 consecutive whole numbers is 210. Find the numbers.

Answer: 51, 52, 53, 54

  1. n + (n + 1) + (n + 2) + (n + 3) = 210
  2. 4n + 6 = 210
  3. n = 51
3.The sum of 4 consecutive whole numbers is 70. Find the numbers.

Answer: 16, 17, 18, 19

  1. n + (n + 1) + (n + 2) + (n + 3) = 70
  2. 4n + 6 = 70
  3. n = 16
4.Harper buys some notebooks at $2.00 each and pays $7.00 for delivery. The total is $17.00. How many notebooks did Harper buy?

Answer: 5

  1. 2.00n + 7.00 = 17.00
  2. 2.00n = 10.00
  3. n = 5
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.

Answer: width 11 cm, length 19 cm

  1. 2(w + w + 8) = 60
  2. 4w + 16 = 60
  3. w = 11, so length = 19
6.The sum of 3 consecutive whole numbers is 150. Find the numbers.

Answer: 49, 50, 51

  1. n + (n + 1) + (n + 2) = 150
  2. 3n + 3 = 150
  3. n = 49
7.The sum of 4 consecutive whole numbers is 30. Find the numbers.

Answer: 6, 7, 8, 9

  1. n + (n + 1) + (n + 2) + (n + 3) = 30
  2. 4n + 6 = 30
  3. n = 6
8.Mia buys some notebooks at $2.00 each and pays $8.00 for delivery. The total is $12.00. How many notebooks did Mia buy?

Answer: 2

  1. 2.00n + 8.00 = 12.00
  2. 2.00n = 4.00
  3. n = 2
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