Year 10 Equation Word Problems Worksheet — Level 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 — 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.Liam buys some notebooks at $1.00 each and pays $2.00 for delivery. The total is $5.00. How many notebooks did Liam buy?
Answer: 3
- 1.00n + 2.00 = 5.00
- 1.00n = 3.00
- n = 3
2.The sum of 2 consecutive whole numbers is 45. Find the numbers.
Answer: 22, 23
- n + (n + 1) = 45
- 2n + 1 = 45
- n = 22
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.
Answer: width 9 cm, length 17 cm
- 2(w + w + 8) = 52
- 4w + 16 = 52
- w = 9, so length = 17
4.Olivia buys some notebooks at $2.50 each and pays $6.00 for delivery. The total is $16.00. How many notebooks did Olivia buy?
Answer: 4
- 2.50n + 6.00 = 16.00
- 2.50n = 10.00
- n = 4
5.Ava buys some notebooks at $3.50 each and pays $4.00 for delivery. The total is $14.50. How many notebooks did Ava buy?
Answer: 3
- 3.50n + 4.00 = 14.50
- 3.50n = 10.50
- n = 3
6.Chloe buys some notebooks at $4.00 each and pays $5.00 for delivery. The total is $29.00. How many notebooks did Chloe buy?
Answer: 6
- 4.00n + 5.00 = 29.00
- 4.00n = 24.00
- n = 6
7.The sum of 3 consecutive whole numbers is 57. Find the numbers.
Answer: 18, 19, 20
- n + (n + 1) + (n + 2) = 57
- 3n + 3 = 57
- n = 18
8.The sum of 4 consecutive whole numbers is 178. Find the numbers.
Answer: 43, 44, 45, 46
- n + (n + 1) + (n + 2) + (n + 3) = 178
- 4n + 6 = 178
- n = 43
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.