Year 7 Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 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 $3.50 each and pays $5.00 for delivery. The total is $12.00. How many notebooks did Liam buy?
Answer: 2
- 3.50n + 5.00 = 12.00
- 3.50n = 7.00
- n = 2
2.The sum of 2 consecutive whole numbers is 37. Find the numbers.
Answer: 18, 19
- n + (n + 1) = 37
- 2n + 1 = 37
- n = 18
3.The sum of 3 consecutive whole numbers is 126. Find the numbers.
Answer: 41, 42, 43
- n + (n + 1) + (n + 2) = 126
- 3n + 3 = 126
- n = 41
4.Liam buys some notebooks at $3.50 each and pays $2.00 for delivery. The total is $19.50. How many notebooks did Liam buy?
Answer: 5
- 3.50n + 2.00 = 19.50
- 3.50n = 17.50
- n = 5
5.The sum of 4 consecutive whole numbers is 30. Find the numbers.
Answer: 6, 7, 8, 9
- n + (n + 1) + (n + 2) + (n + 3) = 30
- 4n + 6 = 30
- n = 6
6.Emma buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $10.00. How many notebooks did Emma buy?
Answer: 5
- 1.00n + 5.00 = 10.00
- 1.00n = 5.00
- n = 5
7.A rectangle is 9 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 14 cm, length 23 cm
- 2(w + w + 9) = 74
- 4w + 18 = 74
- w = 14, so length = 23
8.The sum of 2 consecutive whole numbers is 61. Find the numbers.
Answer: 30, 31
- n + (n + 1) = 61
- 2n + 1 = 61
- n = 30
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.