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 2 cm longer than it is wide. Its perimeter is 72 cm. Find its width and length.
Answer: width 17 cm, length 19 cm
- 2(w + w + 2) = 72
- 4w + 4 = 72
- w = 17, so length = 19
2.The sum of 2 consecutive whole numbers is 11. Find the numbers.
Answer: 5, 6
- n + (n + 1) = 11
- 2n + 1 = 11
- n = 5
3.Ethan buys some notebooks at $2.50 each and pays $8.00 for delivery. The total is $23.00. How many notebooks did Ethan buy?
Answer: 6
- 2.50n + 8.00 = 23.00
- 2.50n = 15.00
- n = 6
4.The sum of 3 consecutive whole numbers is 144. Find the numbers.
Answer: 47, 48, 49
- n + (n + 1) + (n + 2) = 144
- 3n + 3 = 144
- n = 47
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.
Answer: width 3 cm, length 11 cm
- 2(w + w + 8) = 28
- 4w + 16 = 28
- w = 3, so length = 11
6.Leo buys some notebooks at $1.50 each and pays $5.00 for delivery. The total is $9.50. How many notebooks did Leo buy?
Answer: 3
- 1.50n + 5.00 = 9.50
- 1.50n = 4.50
- n = 3
7.Emma buys some notebooks at $4.50 each and pays $6.00 for delivery. The total is $28.50. How many notebooks did Emma buy?
Answer: 5
- 4.50n + 6.00 = 28.50
- 4.50n = 22.50
- n = 5
8.The sum of 3 consecutive whole numbers is 36. Find the numbers.
Answer: 11, 12, 13
- n + (n + 1) + (n + 2) = 36
- 3n + 3 = 36
- n = 11
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.