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 $1.50 each and pays $4.00 for delivery. The total is $11.50. How many notebooks did Sienna buy?
Answer: 5
- 1.50n + 4.00 = 11.50
- 1.50n = 7.50
- n = 5
2.The sum of 2 consecutive whole numbers is 41. Find the numbers.
Answer: 20, 21
- n + (n + 1) = 41
- 2n + 1 = 41
- n = 20
3.A rectangle is 3 cm longer than it is wide. Its perimeter is 22 cm. Find its width and length.
Answer: width 4 cm, length 7 cm
- 2(w + w + 3) = 22
- 4w + 6 = 22
- w = 4, so length = 7
4.The sum of 2 consecutive whole numbers is 71. Find the numbers.
Answer: 35, 36
- n + (n + 1) = 71
- 2n + 1 = 71
- n = 35
5.A rectangle is 5 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.
Answer: width 9 cm, length 14 cm
- 2(w + w + 5) = 46
- 4w + 10 = 46
- w = 9, so length = 14
6.A rectangle is 1 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 10 cm, length 11 cm
- 2(w + w + 1) = 42
- 4w + 2 = 42
- w = 10, so length = 11
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.A rectangle is 2 cm longer than it is wide. Its perimeter is 16 cm. Find its width and length.
Answer: width 3 cm, length 5 cm
- 2(w + w + 2) = 16
- 4w + 4 = 16
- w = 3, so length = 5
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.