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Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 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.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
2.A rectangle is 6 cm longer than it is wide. Its perimeter is 20 cm. Find its width and length.

Answer: width 2 cm, length 8 cm

  1. 2(w + w + 6) = 20
  2. 4w + 12 = 20
  3. w = 2, so length = 8
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.

Answer: width 7 cm, length 13 cm

  1. 2(w + w + 6) = 40
  2. 4w + 12 = 40
  3. w = 7, so length = 13
4.Tom buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $10.00. How many notebooks did Tom buy?

Answer: 3

  1. 2.00n + 4.00 = 10.00
  2. 2.00n = 6.00
  3. n = 3
5.Cooper buys some notebooks at $1.50 each and pays $6.00 for delivery. The total is $9.00. How many notebooks did Cooper buy?

Answer: 2

  1. 1.50n + 6.00 = 9.00
  2. 1.50n = 3.00
  3. n = 2
6.Grace buys some notebooks at $1.50 each and pays $1.00 for delivery. The total is $7.00. How many notebooks did Grace buy?

Answer: 4

  1. 1.50n + 1.00 = 7.00
  2. 1.50n = 6.00
  3. n = 4
7.The sum of 2 consecutive whole numbers is 19. Find the numbers.

Answer: 9, 10

  1. n + (n + 1) = 19
  2. 2n + 1 = 19
  3. n = 9
8.Tom buys some notebooks at $3.00 each and pays $3.00 for delivery. The total is $21.00. How many notebooks did Tom buy?

Answer: 6

  1. 3.00n + 3.00 = 21.00
  2. 3.00n = 18.00
  3. n = 6
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