Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Factorise, then use the null factor law.
1.Solve: 3x2 − 19x − 40 = 0
Answer: x = − or x = 8
- Factorise: (3x + 5)(x − 8) = 0
- 3x + 5 = 0 gives x = −
- x − 8 = 0 gives x = 8
2.Solve: 3x2 − 21x − 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
3.Solve: 3x2 − 4x − 32 = 0
Answer: x = − or x = 4
- Factorise: (3x + 8)(x − 4) = 0
- 3x + 8 = 0 gives x = −
- x − 4 = 0 gives x = 4
4.Solve: 2x2 − 7x − 4 = 0
Answer: x = − or x = 4
- Factorise: (2x + 1)(x − 4) = 0
- 2x + 1 = 0 gives x = −
- x − 4 = 0 gives x = 4
5.Solve: 2x2 − 26x + 72 = 0
Answer: x = 4 or x = 9
- Factorise: (2x − 8)(x − 9) = 0
- 2x − 8 = 0 gives x = 4
- x − 9 = 0 gives x = 9
6.Solve: 3x2 + 19x − 72 = 0
Answer: x = or x = −9
- Factorise: (3x − 8)(x + 9) = 0
- 3x − 8 = 0 gives x =
- x + 9 = 0 gives x = −9
7.Solve: 3x2 + 19x + 28 = 0
Answer: x = − or x = −4
- Factorise: (3x + 7)(x + 4) = 0
- 3x + 7 = 0 gives x = −
- x + 4 = 0 gives x = −4
8.Solve: 2x2 − 25x + 63 = 0
Answer: x = or x = 9
- Factorise: (2x − 7)(x − 9) = 0
- 2x − 7 = 0 gives x =
- x − 9 = 0 gives x = 9
9.Solve: 2x2 + 3x − 54 = 0
Answer: x = or x = −6
- Factorise: (2x − 9)(x + 6) = 0
- 2x − 9 = 0 gives x =
- x + 6 = 0 gives x = −6
10.Solve: 3x2 − 26x − 9 = 0
Answer: x = − or x = 9
- Factorise: (3x + 1)(x − 9) = 0
- 3x + 1 = 0 gives x = −
- x − 9 = 0 gives x = 9
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