Year 9 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers
Factorise, then use the null factor law.
1.Solve: 3x2 − 22x + 24 = 0
Answer: x = or x = 6
- Factorise: (3x − 4)(x − 6) = 0
- 3x − 4 = 0 gives x =
- x − 6 = 0 gives x = 6
2.Solve: 3x2 + 9x + 6 = 0
Answer: x = -2 or x = −1
- Factorise: (3x + 6)(x + 1) = 0
- 3x + 6 = 0 gives x = -2
- x + 1 = 0 gives x = −1
3.Solve: 2x2 − 14x + 24 = 0
Answer: x = 3 or x = 4
- Factorise: (2x − 6)(x − 4) = 0
- 2x − 6 = 0 gives x = 3
- x − 4 = 0 gives x = 4
4.Solve: 2x2 + 8x + 8 = 0
Answer: x = -2 or x = −2
- Factorise: (2x + 4)(x + 2) = 0
- 2x + 4 = 0 gives x = -2
- x + 2 = 0 gives x = −2
5.Solve: 3x2 − 15x − 18 = 0
Answer: x = -1 or x = 6
- Factorise: (3x + 3)(x − 6) = 0
- 3x + 3 = 0 gives x = -1
- x − 6 = 0 gives x = 6
6.Solve: 3x2 − 10x + 8 = 0
Answer: x = or x = 2
- Factorise: (3x − 4)(x − 2) = 0
- 3x − 4 = 0 gives x =
- x − 2 = 0 gives x = 2
7.Solve: 3x2 + 6x − 45 = 0
Answer: x = 3 or x = −5
- Factorise: (3x − 9)(x + 5) = 0
- 3x − 9 = 0 gives x = 3
- x + 5 = 0 gives x = −5
8.Solve: 3x2 + 7x + 4 = 0
Answer: x = − or x = −1
- Factorise: (3x + 4)(x + 1) = 0
- 3x + 4 = 0 gives x = −
- x + 1 = 0 gives x = −1
9.Solve: 3x2 + 23x − 36 = 0
Answer: x = or x = −9
- Factorise: (3x − 4)(x + 9) = 0
- 3x − 4 = 0 gives x =
- x + 9 = 0 gives x = −9
10.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
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