Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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.A rectangle is 4 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 15 cm, length 19 cm
- 2(w + w + 4) = 68
- 4w + 8 = 68
- w = 15, so length = 19
2.The sum of 4 consecutive whole numbers is 142. Find the numbers.
Answer: 34, 35, 36, 37
- n + (n + 1) + (n + 2) + (n + 3) = 142
- 4n + 6 = 142
- n = 34
3.The sum of 4 consecutive whole numbers is 202. Find the numbers.
Answer: 49, 50, 51, 52
- n + (n + 1) + (n + 2) + (n + 3) = 202
- 4n + 6 = 202
- n = 49
4.A rectangle is 6 cm longer than it is wide. Its perimeter is 20 cm. Find its width and length.
Answer: width 2 cm, length 8 cm
- 2(w + w + 6) = 20
- 4w + 12 = 20
- w = 2, so length = 8
5.Mia thinks of a number, multiplies it by 3 and then adds 7. The answer is 16. Write an equation and find the number.
Answer: 3
- Let the number be n: 3n + 7 = 16
- 3n = 9
- n = 3
6.The sum of 4 consecutive whole numbers is 206. Find the numbers.
Answer: 50, 51, 52, 53
- n + (n + 1) + (n + 2) + (n + 3) = 206
- 4n + 6 = 206
- n = 50
7.Kai thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 3. What was the number?
Answer: 13
- 3(n − 12) = 3
- n − 12 = 1
- n = 13
8.A rectangle is 3 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 9 cm, length 12 cm
- 2(w + w + 3) = 42
- 4w + 6 = 42
- w = 9, so length = 12
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.