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: 3x2 − 13x − 10 = 0
Answer: x = − or x = 5
- Factorise: (3x + 2)(x − 5) = 0
- 3x + 2 = 0 gives x = −
- x − 5 = 0 gives x = 5
2.Solve: 2x2 + 4x − 6 = 0
Answer: x = 1 or x = −3
- Factorise: (2x − 2)(x + 3) = 0
- 2x − 2 = 0 gives x = 1
- x + 3 = 0 gives x = −3
3.Solve: 3x2 + 15x − 72 = 0
Answer: x = 3 or x = −8
- Factorise: (3x − 9)(x + 8) = 0
- 3x − 9 = 0 gives x = 3
- x + 8 = 0 gives x = −8
4.Solve: 3x2 − 26x + 48 = 0
Answer: x = or x = 6
- Factorise: (3x − 8)(x − 6) = 0
- 3x − 8 = 0 gives x =
- x − 6 = 0 gives x = 6
5.Solve: 2x2 + x − 1 = 0
Answer: x = or x = −1
- Factorise: (2x − 1)(x + 1) = 0
- 2x − 1 = 0 gives x =
- x + 1 = 0 gives x = −1
6.Solve: 3x2 − 14x + 8 = 0
Answer: x = or x = 4
- Factorise: (3x − 2)(x − 4) = 0
- 3x − 2 = 0 gives x =
- x − 4 = 0 gives x = 4
7.Solve: 3x2 + 16x + 21 = 0
Answer: x = − or x = −3
- Factorise: (3x + 7)(x + 3) = 0
- 3x + 7 = 0 gives x = −
- x + 3 = 0 gives x = −3
8.Solve: 3x2 + 25x + 8 = 0
Answer: x = − or x = −8
- Factorise: (3x + 1)(x + 8) = 0
- 3x + 1 = 0 gives x = −
- x + 8 = 0 gives x = −8
9.Solve: 3x2 − 7x + 2 = 0
Answer: x = or x = 2
- Factorise: (3x − 1)(x − 2) = 0
- 3x − 1 = 0 gives x =
- x − 2 = 0 gives x = 2
10.Solve: 2x2 + 10x + 8 = 0
Answer: x = -1 or x = −4
- Factorise: (2x + 2)(x + 4) = 0
- 2x + 2 = 0 gives x = -1
- x + 4 = 0 gives x = −4
Marking tips
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