Year 9 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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 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.Max buys some notebooks at $4.00 each and pays $6.00 for delivery. The total is $18.00. How many notebooks did Max buy?
Answer: 3
- 4.00n + 6.00 = 18.00
- 4.00n = 12.00
- n = 3
2.The sum of 2 consecutive whole numbers is 13. Find the numbers.
Answer: 6, 7
- n + (n + 1) = 13
- 2n + 1 = 13
- n = 6
3.A rectangle is 7 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.
Answer: width 3 cm, length 10 cm
- 2(w + w + 7) = 26
- 4w + 14 = 26
- w = 3, so length = 10
4.The sum of 4 consecutive whole numbers is 194. Find the numbers.
Answer: 47, 48, 49, 50
- n + (n + 1) + (n + 2) + (n + 3) = 194
- 4n + 6 = 194
- n = 47
5.A rectangle is 2 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 7 cm, length 9 cm
- 2(w + w + 2) = 32
- 4w + 4 = 32
- w = 7, so length = 9
6.The sum of 4 consecutive whole numbers is 226. Find the numbers.
Answer: 55, 56, 57, 58
- n + (n + 1) + (n + 2) + (n + 3) = 226
- 4n + 6 = 226
- n = 55
7.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
8.Jayden buys some notebooks at $3.50 each and pays $6.00 for delivery. The total is $27.00. How many notebooks did Jayden buy?
Answer: 6
- 3.50n + 6.00 = 27.00
- 3.50n = 21.00
- 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.