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 + 3x − 9 = 0
Answer: x = or x = −3
- Factorise: (2x − 3)(x + 3) = 0
- 2x − 3 = 0 gives x =
- x + 3 = 0 gives x = −3
2.Solve: 2x2 + 6x − 56 = 0
Answer: x = 4 or x = −7
- Factorise: (2x − 8)(x + 7) = 0
- 2x − 8 = 0 gives x = 4
- x + 7 = 0 gives x = −7
3.Solve: 3x2 − 18x − 48 = 0
Answer: x = -2 or x = 8
- Factorise: (3x + 6)(x − 8) = 0
- 3x + 6 = 0 gives x = -2
- x − 8 = 0 gives x = 8
4.Solve: 3x2 + 11x + 8 = 0
Answer: x = − or x = −1
- Factorise: (3x + 8)(x + 1) = 0
- 3x + 8 = 0 gives x = −
- x + 1 = 0 gives x = −1
5.Solve: 2x2 + 3x − 14 = 0
Answer: x = − or x = 2
- Factorise: (2x + 7)(x − 2) = 0
- 2x + 7 = 0 gives x = −
- x − 2 = 0 gives x = 2
6.Solve: 3x2 + 14x − 49 = 0
Answer: x = or x = −7
- Factorise: (3x − 7)(x + 7) = 0
- 3x − 7 = 0 gives x =
- x + 7 = 0 gives x = −7
7.Solve: 3x2 + 2x − 16 = 0
Answer: x = − or x = 2
- Factorise: (3x + 8)(x − 2) = 0
- 3x + 8 = 0 gives x = −
- x − 2 = 0 gives x = 2
8.Solve: 3x2 − 10x − 48 = 0
Answer: x = − or x = 6
- Factorise: (3x + 8)(x − 6) = 0
- 3x + 8 = 0 gives x = −
- x − 6 = 0 gives x = 6
9.Solve: 3x2 + 4x + 1 = 0
Answer: x = − or x = −1
- Factorise: (3x + 1)(x + 1) = 0
- 3x + 1 = 0 gives x = −
- x + 1 = 0 gives x = −1
10.Solve: 2x2 + 8x − 64 = 0
Answer: x = 4 or x = −8
- Factorise: (2x − 8)(x + 8) = 0
- 2x − 8 = 0 gives x = 4
- x + 8 = 0 gives x = −8
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.