Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 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 — 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.Hunter buys some notebooks at $2.50 each and pays $1.00 for delivery. The total is $6.00. How many notebooks did Hunter buy?
Answer: 2
- 2.50n + 1.00 = 6.00
- 2.50n = 5.00
- n = 2
2.A rectangle is 3 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.
Answer: width 3 cm, length 6 cm
- 2(w + w + 3) = 18
- 4w + 6 = 18
- w = 3, so length = 6
3.The sum of 3 consecutive whole numbers is 108. Find the numbers.
Answer: 35, 36, 37
- n + (n + 1) + (n + 2) = 108
- 3n + 3 = 108
- n = 35
4.The sum of 2 consecutive whole numbers is 29. Find the numbers.
Answer: 14, 15
- n + (n + 1) = 29
- 2n + 1 = 29
- n = 14
5.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
6.The sum of 4 consecutive whole numbers is 162. Find the numbers.
Answer: 39, 40, 41, 42
- n + (n + 1) + (n + 2) + (n + 3) = 162
- 4n + 6 = 162
- n = 39
7.The sum of 2 consecutive whole numbers is 49. Find the numbers.
Answer: 24, 25
- n + (n + 1) = 49
- 2n + 1 = 49
- n = 24
8.A rectangle is 8 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 13 cm, length 21 cm
- 2(w + w + 8) = 68
- 4w + 16 = 68
- w = 13, so length = 21
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.