Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · QuadraticsYear 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Factorise, then use the null factor law.
1.Solve: 3x2 − 30x + 63 = 0
Answer: x = 3 or x = 7
- Factorise: (3x − 9)(x − 7) = 0
- 3x − 9 = 0 gives x = 3
- x − 7 = 0 gives x = 7
2.Solve: 3x2 − 4x − 4 = 0
Answer: x = − or x = 2
- Factorise: (3x + 2)(x − 2) = 0
- 3x + 2 = 0 gives x = −
- x − 2 = 0 gives x = 2
3.Solve: 3x2 + 19x + 20 = 0
Answer: x = − or x = −5
- Factorise: (3x + 4)(x + 5) = 0
- 3x + 4 = 0 gives x = −
- x + 5 = 0 gives x = −5
4.Solve: 2x2 − 3x − 5 = 0
Answer: x = or x = −1
- Factorise: (2x − 5)(x + 1) = 0
- 2x − 5 = 0 gives x =
- x + 1 = 0 gives x = −1
5.Solve: 2x2 + 16x − 18 = 0
Answer: x = 1 or x = −9
- Factorise: (2x − 2)(x + 9) = 0
- 2x − 2 = 0 gives x = 1
- x + 9 = 0 gives x = −9
6.Solve: 3x2 + 27x + 54 = 0
Answer: x = -3 or x = −6
- Factorise: (3x + 9)(x + 6) = 0
- 3x + 9 = 0 gives x = -3
- x + 6 = 0 gives x = −6
7.Solve: 3x2 − 16x + 5 = 0
Answer: x = or x = 5
- Factorise: (3x − 1)(x − 5) = 0
- 3x − 1 = 0 gives x =
- x − 5 = 0 gives x = 5
8.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
9.Solve: 2x2 + 8x + 6 = 0
Answer: x = -3 or x = −1
- Factorise: (2x + 6)(x + 1) = 0
- 2x + 6 = 0 gives x = -3
- x + 1 = 0 gives x = −1
10.Solve: 3x2 + 17x + 24 = 0
Answer: x = − or x = −3
- Factorise: (3x + 8)(x + 3) = 0
- 3x + 8 = 0 gives x = −
- x + 3 = 0 gives x = −3
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