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.Priya buys some notebooks at $4.00 each and pays $8.00 for delivery. The total is $24.00. How many notebooks did Priya buy?
Answer: 4
- 4.00n + 8.00 = 24.00
- 4.00n = 16.00
- n = 4
2.The sum of 3 consecutive whole numbers is 177. Find the numbers.
Answer: 58, 59, 60
- n + (n + 1) + (n + 2) = 177
- 3n + 3 = 177
- n = 58
3.Jayden buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $8.00. How many notebooks did Jayden buy?
Answer: 3
- 1.00n + 5.00 = 8.00
- 1.00n = 3.00
- n = 3
4.Sienna buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $8.00. How many notebooks did Sienna buy?
Answer: 2
- 3.50n + 1.00 = 8.00
- 3.50n = 7.00
- n = 2
5.Archie buys some notebooks at $1.50 each and pays $7.00 for delivery. The total is $10.00. How many notebooks did Archie buy?
Answer: 2
- 1.50n + 7.00 = 10.00
- 1.50n = 3.00
- n = 2
6.Zoe buys some notebooks at $2.00 each and pays $8.00 for delivery. The total is $20.00. How many notebooks did Zoe buy?
Answer: 6
- 2.00n + 8.00 = 20.00
- 2.00n = 12.00
- n = 6
7.The sum of 2 consecutive whole numbers is 117. Find the numbers.
Answer: 58, 59
- n + (n + 1) = 117
- 2n + 1 = 117
- n = 58
8.Isla buys some notebooks at $2.00 each and pays $3.00 for delivery. The total is $15.00. How many notebooks did Isla buy?
Answer: 6
- 2.00n + 3.00 = 15.00
- 2.00n = 12.00
- n = 6
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.