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Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 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 3 consecutive whole numbers is 18. Find the numbers.

Answer: 5, 6, 7

  1. n + (n + 1) + (n + 2) = 18
  2. 3n + 3 = 18
  3. n = 5
2.A rectangle is 8 cm longer than it is wide. Its perimeter is 56 cm. Find its width and length.

Answer: width 10 cm, length 18 cm

  1. 2(w + w + 8) = 56
  2. 4w + 16 = 56
  3. w = 10, so length = 18
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 24 cm. Find its width and length.

Answer: width 2 cm, length 10 cm

  1. 2(w + w + 8) = 24
  2. 4w + 16 = 24
  3. w = 2, so length = 10
4.A rectangle is 9 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.

Answer: width 8 cm, length 17 cm

  1. 2(w + w + 9) = 50
  2. 4w + 18 = 50
  3. w = 8, so length = 17
5.Ruby buys some notebooks at $1.00 each and pays $7.00 for delivery. The total is $11.00. How many notebooks did Ruby buy?

Answer: 4

  1. 1.00n + 7.00 = 11.00
  2. 1.00n = 4.00
  3. n = 4
6.Olivia buys some notebooks at $3.50 each and pays $5.00 for delivery. The total is $26.00. How many notebooks did Olivia buy?

Answer: 6

  1. 3.50n + 5.00 = 26.00
  2. 3.50n = 21.00
  3. n = 6
7.Zoe buys some notebooks at $2.00 each and pays $7.00 for delivery. The total is $19.00. How many notebooks did Zoe buy?

Answer: 6

  1. 2.00n + 7.00 = 19.00
  2. 2.00n = 12.00
  3. n = 6
8.The sum of 2 consecutive whole numbers is 67. Find the numbers.

Answer: 33, 34

  1. n + (n + 1) = 67
  2. 2n + 1 = 67
  3. n = 33
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