Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Year 7 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.Leo buys some notebooks at $1.50 each and pays $7.00 for delivery. The total is $11.50. How many notebooks did Leo buy?
Answer: 3
- 1.50n + 7.00 = 11.50
- 1.50n = 4.50
- n = 3
2.The sum of 2 consecutive whole numbers is 21. Find the numbers.
Answer: 10, 11
- n + (n + 1) = 21
- 2n + 1 = 21
- n = 10
3.Mia buys some notebooks at $3.00 each and pays $6.00 for delivery. The total is $12.00. How many notebooks did Mia buy?
Answer: 2
- 3.00n + 6.00 = 12.00
- 3.00n = 6.00
- n = 2
4.Grace buys some notebooks at $1.00 each and pays $4.00 for delivery. The total is $9.00. How many notebooks did Grace buy?
Answer: 5
- 1.00n + 4.00 = 9.00
- 1.00n = 5.00
- n = 5
5.The sum of 2 consecutive whole numbers is 27. Find the numbers.
Answer: 13, 14
- n + (n + 1) = 27
- 2n + 1 = 27
- n = 13
6.Kai buys some notebooks at $3.50 each and pays $6.00 for delivery. The total is $13.00. How many notebooks did Kai buy?
Answer: 2
- 3.50n + 6.00 = 13.00
- 3.50n = 7.00
- n = 2
7.The sum of 3 consecutive whole numbers is 144. Find the numbers.
Answer: 47, 48, 49
- n + (n + 1) + (n + 2) = 144
- 3n + 3 = 144
- n = 47
8.Ava buys some notebooks at $3.00 each and pays $7.00 for delivery. The total is $22.00. How many notebooks did Ava buy?
Answer: 5
- 3.00n + 7.00 = 22.00
- 3.00n = 15.00
- n = 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.