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 − 18x + 27 = 0
Answer: x = 3 or x = 3
- Factorise: (3x − 9)(x − 3) = 0
- 3x − 9 = 0 gives x = 3
- x − 3 = 0 gives x = 3
2.Solve: 3x2 − 28x + 49 = 0
Answer: x = or x = 7
- Factorise: (3x − 7)(x − 7) = 0
- 3x − 7 = 0 gives x =
- x − 7 = 0 gives x = 7
3.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
4.Solve: 2x2 + 17x + 36 = 0
Answer: x = − or x = −4
- Factorise: (2x + 9)(x + 4) = 0
- 2x + 9 = 0 gives x = −
- x + 4 = 0 gives x = −4
5.Solve: 2x2 − x − 28 = 0
Answer: x = − or x = 4
- Factorise: (2x + 7)(x − 4) = 0
- 2x + 7 = 0 gives x = −
- x − 4 = 0 gives x = 4
6.Solve: 2x2 − 19x + 35 = 0
Answer: x = or x = 7
- Factorise: (2x − 5)(x − 7) = 0
- 2x − 5 = 0 gives x =
- x − 7 = 0 gives x = 7
7.Solve: 3x2 − 21x + 36 = 0
Answer: x = 3 or x = 4
- Factorise: (3x − 9)(x − 4) = 0
- 3x − 9 = 0 gives x = 3
- x − 4 = 0 gives x = 4
8.Solve: 3x2 − 7x − 40 = 0
Answer: x = − or x = 5
- Factorise: (3x + 8)(x − 5) = 0
- 3x + 8 = 0 gives x = −
- x − 5 = 0 gives x = 5
9.Solve: 2x2 − 32 = 0
Answer: x = -4 or x = 4
- Factorise: (2x + 8)(x − 4) = 0
- 2x + 8 = 0 gives x = -4
- x − 4 = 0 gives x = 4
10.Solve: 3x2 − 26x + 16 = 0
Answer: x = or x = 8
- Factorise: (3x − 2)(x − 8) = 0
- 3x − 2 = 0 gives x =
- x − 8 = 0 gives x = 8
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