Year 9 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · QuadraticsYear 9 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Factorise, then use the null factor law.
1.Solve: 2x2 + 12x + 16 = 0
Answer: x = -4 or x = −2
- Factorise: (2x + 8)(x + 2) = 0
- 2x + 8 = 0 gives x = -4
- x + 2 = 0 gives x = −2
2.Solve: 2x2 + 5x − 12 = 0
Answer: x = or x = −4
- Factorise: (2x − 3)(x + 4) = 0
- 2x − 3 = 0 gives x =
- x + 4 = 0 gives x = −4
3.Solve: 2x2 − 21x + 40 = 0
Answer: x = or x = 8
- Factorise: (2x − 5)(x − 8) = 0
- 2x − 5 = 0 gives x =
- x − 8 = 0 gives x = 8
4.Solve: 2x2 − 20x + 32 = 0
Answer: x = 2 or x = 8
- Factorise: (2x − 4)(x − 8) = 0
- 2x − 4 = 0 gives x = 2
- x − 8 = 0 gives x = 8
5.Solve: 2x2 + 2x − 4 = 0
Answer: x = 1 or x = −2
- Factorise: (2x − 2)(x + 2) = 0
- 2x − 2 = 0 gives x = 1
- x + 2 = 0 gives x = −2
6.Solve: 3x2 − 27x + 24 = 0
Answer: x = 1 or x = 8
- Factorise: (3x − 3)(x − 8) = 0
- 3x − 3 = 0 gives x = 1
- x − 8 = 0 gives x = 8
7.Solve: 2x2 − 11x + 15 = 0
Answer: x = or x = 3
- Factorise: (2x − 5)(x − 3) = 0
- 2x − 5 = 0 gives x =
- x − 3 = 0 gives x = 3
8.Solve: 2x2 − 5x − 25 = 0
Answer: x = − or x = 5
- Factorise: (2x + 5)(x − 5) = 0
- 2x + 5 = 0 gives x = −
- x − 5 = 0 gives x = 5
9.Solve: 2x2 − 4x − 30 = 0
Answer: x = -3 or x = 5
- Factorise: (2x + 6)(x − 5) = 0
- 2x + 6 = 0 gives x = -3
- x − 5 = 0 gives x = 5
10.Solve: 2x2 − 6x + 4 = 0
Answer: x = 1 or x = 2
- Factorise: (2x − 2)(x − 2) = 0
- 2x − 2 = 0 gives x = 1
- x − 2 = 0 gives x = 2
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.