10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade quadratics worksheet.
10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 − 12x + 16 = 0
Answer: x = 2 or x = 4
- Factor: (2x − 4)(x − 4) = 0
- 2x − 4 = 0 gives x = 2
- x − 4 = 0 gives x = 4
2.Solve: 3x2 + 19x + 20 = 0
Answer: x = − or x = −5
- Factor: (3x + 4)(x + 5) = 0
- 3x + 4 = 0 gives x = −
- x + 5 = 0 gives x = −5
3.Solve: 2x2 + 17x + 21 = 0
Answer: x = − or x = −7
- Factor: (2x + 3)(x + 7) = 0
- 2x + 3 = 0 gives x = −
- x + 7 = 0 gives x = −7
4.Solve: 2x2 + 4x + 2 = 0
Answer: x = -1 or x = −1
- Factor: (2x + 2)(x + 1) = 0
- 2x + 2 = 0 gives x = -1
- x + 1 = 0 gives x = −1
5.Solve: 2x2 − 11x − 63 = 0
Answer: x = − or x = 9
- Factor: (2x + 7)(x − 9) = 0
- 2x + 7 = 0 gives x = −
- x − 9 = 0 gives x = 9
6.Solve: 2x2 − 5x − 7 = 0
Answer: x = or x = −1
- Factor: (2x − 7)(x + 1) = 0
- 2x − 7 = 0 gives x =
- x + 1 = 0 gives x = −1
7.Solve: 2x2 + 4x − 30 = 0
Answer: x = 3 or x = −5
- Factor: (2x − 6)(x + 5) = 0
- 2x − 6 = 0 gives x = 3
- x + 5 = 0 gives x = −5
8.Solve: 2x2 − 18 = 0
Answer: x = -3 or x = 3
- Factor: (2x + 6)(x − 3) = 0
- 2x + 6 = 0 gives x = -3
- x − 3 = 0 gives x = 3
9.Solve: 3x2 + 16x − 12 = 0
Answer: x = or x = −6
- Factor: (3x − 2)(x + 6) = 0
- 3x − 2 = 0 gives x =
- x + 6 = 0 gives x = −6
10.Solve: 3x2 + 12x − 15 = 0
Answer: x = 1 or x = −5
- Factor: (3x − 3)(x + 5) = 0
- 3x − 3 = 0 gives x = 1
- x + 5 = 0 gives x = −5
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.
Great work. Here's what to try next: