Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · QuadraticsYear 11 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Factorise, then use the null factor law.
1.Solve: 3x2 − 12x + 9 = 0
Answer: x = 3 or x = 1
- Factorise: (3x − 9)(x − 1) = 0
- 3x − 9 = 0 gives x = 3
- x − 1 = 0 gives x = 1
2.Solve: 2x2 − 14x + 24 = 0
Answer: x = 4 or x = 3
- Factorise: (2x − 8)(x − 3) = 0
- 2x − 8 = 0 gives x = 4
- x − 3 = 0 gives x = 3
3.Solve: 2x2 + 9x + 9 = 0
Answer: x = − or x = −3
- Factorise: (2x + 3)(x + 3) = 0
- 2x + 3 = 0 gives x = −
- x + 3 = 0 gives x = −3
4.Solve: 2x2 + x − 3 = 0
Answer: x = − or x = 1
- Factorise: (2x + 3)(x − 1) = 0
- 2x + 3 = 0 gives x = −
- x − 1 = 0 gives x = 1
5.Solve: 2x2 − 19x + 24 = 0
Answer: x = or x = 8
- Factorise: (2x − 3)(x − 8) = 0
- 2x − 3 = 0 gives x =
- x − 8 = 0 gives x = 8
6.Solve: 2x2 + 10x − 28 = 0
Answer: x = 2 or x = −7
- Factorise: (2x − 4)(x + 7) = 0
- 2x − 4 = 0 gives x = 2
- x + 7 = 0 gives x = −7
7.Solve: 3x2 + 24x − 27 = 0
Answer: x = 1 or x = −9
- Factorise: (3x − 3)(x + 9) = 0
- 3x − 3 = 0 gives x = 1
- x + 9 = 0 gives x = −9
8.Solve: 3x2 − 15x − 42 = 0
Answer: x = -2 or x = 7
- Factorise: (3x + 6)(x − 7) = 0
- 3x + 6 = 0 gives x = -2
- x − 7 = 0 gives x = 7
9.Solve: 2x2 − 8x − 24 = 0
Answer: x = -2 or x = 6
- Factorise: (2x + 4)(x − 6) = 0
- 2x + 4 = 0 gives x = -2
- x − 6 = 0 gives x = 6
10.Solve: 3x2 − 23x − 8 = 0
Answer: x = − or x = 8
- Factorise: (3x + 1)(x − 8) = 0
- 3x + 1 = 0 gives x = −
- x − 8 = 0 gives x = 8
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