Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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.Amelia buys some notebooks at $2.50 each and pays $2.00 for delivery. The total is $14.50. How many notebooks did Amelia buy?
Answer: 5
- 2.50n + 2.00 = 14.50
- 2.50n = 12.50
- n = 5
2.Mason buys some notebooks at $2.50 each and pays $4.00 for delivery. The total is $14.00. How many notebooks did Mason buy?
Answer: 4
- 2.50n + 4.00 = 14.00
- 2.50n = 10.00
- n = 4
3.Lucas buys some notebooks at $3.00 each and pays $2.00 for delivery. The total is $17.00. How many notebooks did Lucas buy?
Answer: 5
- 3.00n + 2.00 = 17.00
- 3.00n = 15.00
- n = 5
4.Zoe buys some notebooks at $1.50 each and pays $2.00 for delivery. The total is $6.50. How many notebooks did Zoe buy?
Answer: 3
- 1.50n + 2.00 = 6.50
- 1.50n = 4.50
- n = 3
5.Chloe buys some notebooks at $4.50 each and pays $5.00 for delivery. The total is $14.00. How many notebooks did Chloe buy?
Answer: 2
- 4.50n + 5.00 = 14.00
- 4.50n = 9.00
- n = 2
6.Jayden buys some notebooks at $1.00 each and pays $4.00 for delivery. The total is $8.00. How many notebooks did Jayden buy?
Answer: 4
- 1.00n + 4.00 = 8.00
- 1.00n = 4.00
- n = 4
7.The sum of 3 consecutive whole numbers is 45. Find the numbers.
Answer: 14, 15, 16
- n + (n + 1) + (n + 2) = 45
- 3n + 3 = 45
- n = 14
8.The sum of 2 consecutive whole numbers is 39. Find the numbers.
Answer: 19, 20
- n + (n + 1) = 39
- 2n + 1 = 39
- n = 19
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.
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