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 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
2.A rectangle is 1 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.

Answer: width 11 cm, length 12 cm

  1. 2(w + w + 1) = 46
  2. 4w + 2 = 46
  3. w = 11, so length = 12
3.Max buys some notebooks at $3.50 each and pays $2.00 for delivery. The total is $9.00. How many notebooks did Max buy?

Answer: 2

  1. 3.50n + 2.00 = 9.00
  2. 3.50n = 7.00
  3. n = 2
4.Chloe buys some notebooks at $4.00 each and pays $8.00 for delivery. The total is $16.00. How many notebooks did Chloe buy?

Answer: 2

  1. 4.00n + 8.00 = 16.00
  2. 4.00n = 8.00
  3. n = 2
5.Priya buys some notebooks at $3.50 each and pays $3.00 for delivery. The total is $10.00. How many notebooks did Priya buy?

Answer: 2

  1. 3.50n + 3.00 = 10.00
  2. 3.50n = 7.00
  3. n = 2
6.A rectangle is 7 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 12 cm, length 19 cm

  1. 2(w + w + 7) = 62
  2. 4w + 14 = 62
  3. w = 12, so length = 19
7.Amelia buys some notebooks at $2.00 each and pays $5.00 for delivery. The total is $9.00. How many notebooks did Amelia buy?

Answer: 2

  1. 2.00n + 5.00 = 9.00
  2. 2.00n = 4.00
  3. n = 2
8.A rectangle is 3 cm longer than it is wide. Its perimeter is 14 cm. Find its width and length.

Answer: width 2 cm, length 5 cm

  1. 2(w + w + 3) = 14
  2. 4w + 6 = 14
  3. w = 2, so length = 5
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.