Year 9 Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 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.A rectangle is 5 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.
Answer: width 4 cm, length 9 cm
- 2(w + w + 5) = 26
- 4w + 10 = 26
- w = 4, so length = 9
2.The sum of 4 consecutive whole numbers is 130. Find the numbers.
Answer: 31, 32, 33, 34
- n + (n + 1) + (n + 2) + (n + 3) = 130
- 4n + 6 = 130
- n = 31
3.Isla buys some notebooks at $3.00 each and pays $5.00 for delivery. The total is $11.00. How many notebooks did Isla buy?
Answer: 2
- 3.00n + 5.00 = 11.00
- 3.00n = 6.00
- n = 2
4.Mia buys some notebooks at $2.50 each and pays $6.00 for delivery. The total is $13.50. How many notebooks did Mia buy?
Answer: 3
- 2.50n + 6.00 = 13.50
- 2.50n = 7.50
- n = 3
5.The sum of 2 consecutive whole numbers is 53. Find the numbers.
Answer: 26, 27
- n + (n + 1) = 53
- 2n + 1 = 53
- n = 26
6.A rectangle is 9 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.
Answer: width 7 cm, length 16 cm
- 2(w + w + 9) = 46
- 4w + 18 = 46
- w = 7, so length = 16
7.Max buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $14.00. How many notebooks did Max buy?
Answer: 2
- 3.50n + 7.00 = 14.00
- 3.50n = 7.00
- n = 2
8.A rectangle is 8 cm longer than it is wide. Its perimeter is 92 cm. Find its width and length.
Answer: width 19 cm, length 27 cm
- 2(w + w + 8) = 92
- 4w + 16 = 92
- w = 19, so length = 27
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.