Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 — 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 4 cm longer than it is wide. Its perimeter is 16 cm. Find its width and length.
Answer: width 2 cm, length 6 cm
- 2(w + w + 4) = 16
- 4w + 8 = 16
- w = 2, so length = 6
2.Max buys some notebooks at $2.00 each and pays $3.00 for delivery. The total is $7.00. How many notebooks did Max buy?
Answer: 2
- 2.00n + 3.00 = 7.00
- 2.00n = 4.00
- n = 2
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.
Answer: width 4 cm, length 10 cm
- 2(w + w + 6) = 28
- 4w + 12 = 28
- w = 4, so length = 10
4.Liam buys some notebooks at $3.00 each and pays $1.00 for delivery. The total is $19.00. How many notebooks did Liam buy?
Answer: 6
- 3.00n + 1.00 = 19.00
- 3.00n = 18.00
- n = 6
5.A rectangle is 4 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.
Answer: width 11 cm, length 15 cm
- 2(w + w + 4) = 52
- 4w + 8 = 52
- w = 11, so length = 15
6.Tom buys some notebooks at $4.50 each and pays $5.00 for delivery. The total is $18.50. How many notebooks did Tom buy?
Answer: 3
- 4.50n + 5.00 = 18.50
- 4.50n = 13.50
- n = 3
7.Emma buys some notebooks at $4.50 each and pays $1.00 for delivery. The total is $14.50. How many notebooks did Emma buy?
Answer: 3
- 4.50n + 1.00 = 14.50
- 4.50n = 13.50
- n = 3
8.The sum of 4 consecutive whole numbers is 158. Find the numbers.
Answer: 38, 39, 40, 41
- n + (n + 1) + (n + 2) + (n + 3) = 158
- 4n + 6 = 158
- n = 38
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.