Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 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 — Practice Set 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.Sienna buys some notebooks at $4.50 each and pays $3.00 for delivery. The total is $16.50. How many notebooks did Sienna buy?
Answer: 3
- 4.50n + 3.00 = 16.50
- 4.50n = 13.50
- n = 3
2.Chloe buys some notebooks at $1.00 each and pays $7.00 for delivery. The total is $13.00. How many notebooks did Chloe buy?
Answer: 6
- 1.00n + 7.00 = 13.00
- 1.00n = 6.00
- n = 6
3.A rectangle is 5 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 13 cm, length 18 cm
- 2(w + w + 5) = 62
- 4w + 10 = 62
- w = 13, so length = 18
4.The sum of 3 consecutive whole numbers is 24. Find the numbers.
Answer: 7, 8, 9
- n + (n + 1) + (n + 2) = 24
- 3n + 3 = 24
- n = 7
5.The sum of 4 consecutive whole numbers is 30. Find the numbers.
Answer: 6, 7, 8, 9
- n + (n + 1) + (n + 2) + (n + 3) = 30
- 4n + 6 = 30
- n = 6
6.Mason buys some notebooks at $1.00 each and pays $8.00 for delivery. The total is $11.00. How many notebooks did Mason buy?
Answer: 3
- 1.00n + 8.00 = 11.00
- 1.00n = 3.00
- n = 3
7.Jayden buys some notebooks at $2.00 each and pays $8.00 for delivery. The total is $14.00. How many notebooks did Jayden buy?
Answer: 3
- 2.00n + 8.00 = 14.00
- 2.00n = 6.00
- n = 3
8.The sum of 4 consecutive whole numbers is 186. Find the numbers.
Answer: 45, 46, 47, 48
- n + (n + 1) + (n + 2) + (n + 3) = 186
- 4n + 6 = 186
- n = 45
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.