Year 7 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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 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.Lucas buys some notebooks at $1.00 each and pays $6.00 for delivery. The total is $9.00. How many notebooks did Lucas buy?
Answer: 3
- 1.00n + 6.00 = 9.00
- 1.00n = 3.00
- n = 3
2.A rectangle is 8 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.
Answer: width 15 cm, length 23 cm
- 2(w + w + 8) = 76
- 4w + 16 = 76
- w = 15, so length = 23
3.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
4.A rectangle is 5 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.
Answer: width 11 cm, length 16 cm
- 2(w + w + 5) = 54
- 4w + 10 = 54
- w = 11, so length = 16
5.The sum of 4 consecutive whole numbers is 70. Find the numbers.
Answer: 16, 17, 18, 19
- n + (n + 1) + (n + 2) + (n + 3) = 70
- 4n + 6 = 70
- n = 16
6.The sum of 2 consecutive whole numbers is 69. Find the numbers.
Answer: 34, 35
- n + (n + 1) = 69
- 2n + 1 = 69
- n = 34
7.The sum of 2 consecutive whole numbers is 83. Find the numbers.
Answer: 41, 42
- n + (n + 1) = 83
- 2n + 1 = 83
- n = 41
8.A rectangle is 4 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.
Answer: width 11 cm, length 15 cm
- 2(w + w + 4) = 52
- 4w + 8 = 52
- w = 11, so length = 15
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.