Year 11 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 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.Jayden buys some notebooks at $1.00 each and pays $3.00 for delivery. The total is $6.00. How many notebooks did Jayden buy?
Answer: 3
- 1.00n + 3.00 = 6.00
- 1.00n = 3.00
- n = 3
2.The sum of 3 consecutive whole numbers is 39. Find the numbers.
Answer: 12, 13, 14
- n + (n + 1) + (n + 2) = 39
- 3n + 3 = 39
- n = 12
3.Layla buys some notebooks at $1.50 each and pays $2.00 for delivery. The total is $8.00. How many notebooks did Layla buy?
Answer: 4
- 1.50n + 2.00 = 8.00
- 1.50n = 6.00
- n = 4
4.Mia buys some notebooks at $4.00 each and pays $8.00 for delivery. The total is $32.00. How many notebooks did Mia buy?
Answer: 6
- 4.00n + 8.00 = 32.00
- 4.00n = 24.00
- n = 6
5.The sum of 4 consecutive whole numbers is 198. Find the numbers.
Answer: 48, 49, 50, 51
- n + (n + 1) + (n + 2) + (n + 3) = 198
- 4n + 6 = 198
- n = 48
6.The sum of 4 consecutive whole numbers is 74. Find the numbers.
Answer: 17, 18, 19, 20
- n + (n + 1) + (n + 2) + (n + 3) = 74
- 4n + 6 = 74
- n = 17
7.A rectangle is 7 cm longer than it is wide. Its perimeter is 94 cm. Find its width and length.
Answer: width 20 cm, length 27 cm
- 2(w + w + 7) = 94
- 4w + 14 = 94
- w = 20, so length = 27
8.A rectangle is 2 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.
Answer: width 18 cm, length 20 cm
- 2(w + w + 2) = 76
- 4w + 4 = 76
- w = 18, so length = 20
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.