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.The sum of 2 consecutive whole numbers is 95. Find the numbers.
Answer: 47, 48
- n + (n + 1) = 95
- 2n + 1 = 95
- n = 47
2.A rectangle is 9 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.
Answer: width 2 cm, length 11 cm
- 2(w + w + 9) = 26
- 4w + 18 = 26
- w = 2, so length = 11
3.Tom buys some notebooks at $2.00 each and pays $2.00 for delivery. The total is $10.00. How many notebooks did Tom buy?
Answer: 4
- 2.00n + 2.00 = 10.00
- 2.00n = 8.00
- n = 4
4.A rectangle is 10 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.
Answer: width 7 cm, length 17 cm
- 2(w + w + 10) = 48
- 4w + 20 = 48
- w = 7, so length = 17
5.Max buys some notebooks at $4.00 each and pays $2.00 for delivery. The total is $14.00. How many notebooks did Max buy?
Answer: 3
- 4.00n + 2.00 = 14.00
- 4.00n = 12.00
- n = 3
6.The sum of 4 consecutive whole numbers is 138. Find the numbers.
Answer: 33, 34, 35, 36
- n + (n + 1) + (n + 2) + (n + 3) = 138
- 4n + 6 = 138
- n = 33
7.Ruby buys some notebooks at $3.50 each and pays $8.00 for delivery. The total is $22.00. How many notebooks did Ruby buy?
Answer: 4
- 3.50n + 8.00 = 22.00
- 3.50n = 14.00
- n = 4
8.The sum of 3 consecutive whole numbers is 153. Find the numbers.
Answer: 50, 51, 52
- n + (n + 1) + (n + 2) = 153
- 3n + 3 = 153
- n = 50
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.