Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Factorise, then use the null factor law.
1.Solve: 2x2 − 6x − 8 = 0
Answer: x = 4 or x = −1
- Factorise: (2x − 8)(x + 1) = 0
- 2x − 8 = 0 gives x = 4
- x + 1 = 0 gives x = −1
2.Solve: 3x2 − 20x − 32 = 0
Answer: x = − or x = 8
- Factorise: (3x + 4)(x − 8) = 0
- 3x + 4 = 0 gives x = −
- x − 8 = 0 gives x = 8
3.Solve: 2x2 − 15x + 18 = 0
Answer: x = or x = 6
- Factorise: (2x − 3)(x − 6) = 0
- 2x − 3 = 0 gives x =
- x − 6 = 0 gives x = 6
4.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
5.Solve: 3x2 − 14x − 5 = 0
Answer: x = − or x = 5
- Factorise: (3x + 1)(x − 5) = 0
- 3x + 1 = 0 gives x = −
- x − 5 = 0 gives x = 5
6.Solve: 3x2 − x − 10 = 0
Answer: x = − or x = 2
- Factorise: (3x + 5)(x − 2) = 0
- 3x + 5 = 0 gives x = −
- x − 2 = 0 gives x = 2
7.Solve: 2x2 − 4x + 2 = 0
Answer: x = 1 or x = 1
- Factorise: (2x − 2)(x − 1) = 0
- 2x − 2 = 0 gives x = 1
- x − 1 = 0 gives x = 1
8.Solve: 2x2 − 19x + 42 = 0
Answer: x = or x = 6
- Factorise: (2x − 7)(x − 6) = 0
- 2x − 7 = 0 gives x =
- x − 6 = 0 gives x = 6
9.Solve: 3x2 − 29x + 40 = 0
Answer: x = or x = 8
- Factorise: (3x − 5)(x − 8) = 0
- 3x − 5 = 0 gives x =
- x − 8 = 0 gives x = 8
10.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
Marking tips
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