Success TutoringWorksheets

Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — Answers

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 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.A rectangle is 5 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.

Answer: width 5 cm, length 10 cm

  1. 2(w + w + 5) = 30
  2. 4w + 10 = 30
  3. w = 5, so length = 10
2.Archie buys some notebooks at $3.50 each and pays $8.00 for delivery. The total is $29.00. How many notebooks did Archie buy?

Answer: 6

  1. 3.50n + 8.00 = 29.00
  2. 3.50n = 21.00
  3. n = 6
3.Oliver buys some notebooks at $4.50 each and pays $7.00 for delivery. The total is $16.00. How many notebooks did Oliver buy?

Answer: 2

  1. 4.50n + 7.00 = 16.00
  2. 4.50n = 9.00
  3. n = 2
4.Amelia buys some notebooks at $4.00 each and pays $7.00 for delivery. The total is $27.00. How many notebooks did Amelia buy?

Answer: 5

  1. 4.00n + 7.00 = 27.00
  2. 4.00n = 20.00
  3. n = 5
5.Amelia buys some notebooks at $1.50 each and pays $5.00 for delivery. The total is $11.00. How many notebooks did Amelia buy?

Answer: 4

  1. 1.50n + 5.00 = 11.00
  2. 1.50n = 6.00
  3. n = 4
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.

Answer: width 17 cm, length 25 cm

  1. 2(w + w + 8) = 84
  2. 4w + 16 = 84
  3. w = 17, so length = 25
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 82 cm. Find its width and length.

Answer: width 20 cm, length 21 cm

  1. 2(w + w + 1) = 82
  2. 4w + 2 = 82
  3. w = 20, so length = 21
8.The sum of 4 consecutive whole numbers is 190. Find the numbers.

Answer: 46, 47, 48, 49

  1. n + (n + 1) + (n + 2) + (n + 3) = 190
  2. 4n + 6 = 190
  3. n = 46
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.