11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Factor, then use the zero product property.
1.Solve: 3x2 − 8x − 16 = 0
Answer: x = − or x = 4
- Factor: (3x + 4)(x − 4) = 0
- 3x + 4 = 0 gives x = −
- x − 4 = 0 gives x = 4
2.Solve: 2x2 − 21x + 40 = 0
Answer: x = or x = 8
- Factor: (2x − 5)(x − 8) = 0
- 2x − 5 = 0 gives x =
- x − 8 = 0 gives x = 8
3.Solve: 3x2 − 10x − 48 = 0
Answer: x = − or x = 6
- Factor: (3x + 8)(x − 6) = 0
- 3x + 8 = 0 gives x = −
- x − 6 = 0 gives x = 6
4.Solve: 2x2 − 16x + 24 = 0
Answer: x = 2 or x = 6
- Factor: (2x − 4)(x − 6) = 0
- 2x − 4 = 0 gives x = 2
- x − 6 = 0 gives x = 6
5.Solve: 3x2 − 3x − 6 = 0
Answer: x = -1 or x = 2
- Factor: (3x + 3)(x − 2) = 0
- 3x + 3 = 0 gives x = -1
- x − 2 = 0 gives x = 2
6.Solve: 3x2 − 19x − 14 = 0
Answer: x = − or x = 7
- Factor: (3x + 2)(x − 7) = 0
- 3x + 2 = 0 gives x = −
- x − 7 = 0 gives x = 7
7.Solve: 3x2 − 31x + 56 = 0
Answer: x = or x = 8
- Factor: (3x − 7)(x − 8) = 0
- 3x − 7 = 0 gives x =
- x − 8 = 0 gives x = 8
8.Solve: 3x2 − 7x − 20 = 0
Answer: x = − or x = 4
- Factor: (3x + 5)(x − 4) = 0
- 3x + 5 = 0 gives x = −
- x − 4 = 0 gives x = 4
9.Solve: 2x2 − 9x + 4 = 0
Answer: x = or x = 4
- Factor: (2x − 1)(x − 4) = 0
- 2x − 1 = 0 gives x =
- x − 4 = 0 gives x = 4
10.Solve: 2x2 + 24x + 64 = 0
Answer: x = -4 or x = −8
- Factor: (2x + 8)(x + 8) = 0
- 2x + 8 = 0 gives x = -4
- x + 8 = 0 gives x = −8
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.