Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 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.Isla buys some notebooks at $4.00 each and pays $1.00 for delivery. The total is $21.00. How many notebooks did Isla buy?
Answer: 5
- 4.00n + 1.00 = 21.00
- 4.00n = 20.00
- n = 5
2.Jayden buys some notebooks at $1.50 each and pays $5.00 for delivery. The total is $8.00. How many notebooks did Jayden buy?
Answer: 2
- 1.50n + 5.00 = 8.00
- 1.50n = 3.00
- n = 2
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.
Answer: width 18 cm, length 24 cm
- 2(w + w + 6) = 84
- 4w + 12 = 84
- w = 18, so length = 24
4.The sum of 3 consecutive whole numbers is 69. Find the numbers.
Answer: 22, 23, 24
- n + (n + 1) + (n + 2) = 69
- 3n + 3 = 69
- n = 22
5.The sum of 3 consecutive whole numbers is 177. Find the numbers.
Answer: 58, 59, 60
- n + (n + 1) + (n + 2) = 177
- 3n + 3 = 177
- n = 58
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.
Answer: width 3 cm, length 11 cm
- 2(w + w + 8) = 28
- 4w + 16 = 28
- w = 3, so length = 11
7.The sum of 4 consecutive whole numbers is 130. Find the numbers.
Answer: 31, 32, 33, 34
- n + (n + 1) + (n + 2) + (n + 3) = 130
- 4n + 6 = 130
- n = 31
8.Oliver buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $28.00. How many notebooks did Oliver buy?
Answer: 6
- 3.50n + 7.00 = 28.00
- 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.