9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Quadratics9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 2 — Answers
Factor, then use the zero product property.
1.Solve: 3x2 + 16x + 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: 3x2 + 28x + 9 = 0
Answer: x = − or x = −9
- Factor: (3x + 1)(x + 9) = 0
- 3x + 1 = 0 gives x = −
- x + 9 = 0 gives x = −9
3.Solve: 2x2 − 3x + 1 = 0
Answer: x = or x = 1
- Factor: (2x − 1)(x − 1) = 0
- 2x − 1 = 0 gives x =
- x − 1 = 0 gives x = 1
4.Solve: 2x2 − 10x − 12 = 0
Answer: x = -1 or x = 6
- Factor: (2x + 2)(x − 6) = 0
- 2x + 2 = 0 gives x = -1
- x − 6 = 0 gives x = 6
5.Solve: 3x2 − 5x − 8 = 0
Answer: x = or x = −1
- Factor: (3x − 8)(x + 1) = 0
- 3x − 8 = 0 gives x =
- x + 1 = 0 gives x = −1
6.Solve: 2x2 + 3x − 27 = 0
Answer: x = − or x = 3
- Factor: (2x + 9)(x − 3) = 0
- 2x + 9 = 0 gives x = −
- x − 3 = 0 gives x = 3
7.Solve: 2x2 − 2x − 4 = 0
Answer: x = 2 or x = −1
- Factor: (2x − 4)(x + 1) = 0
- 2x − 4 = 0 gives x = 2
- x + 1 = 0 gives x = −1
8.Solve: 3x2 − 29x + 56 = 0
Answer: x = or x = 7
- Factor: (3x − 8)(x − 7) = 0
- 3x − 8 = 0 gives x =
- x − 7 = 0 gives x = 7
9.Solve: 3x2 − 12x + 9 = 0
Answer: x = 1 or x = 3
- Factor: (3x − 3)(x − 3) = 0
- 3x − 3 = 0 gives x = 1
- x − 3 = 0 gives x = 3
10.Solve: 2x2 − 19x + 9 = 0
Answer: x = or x = 9
- Factor: (2x − 1)(x − 9) = 0
- 2x − 1 = 0 gives x =
- x − 9 = 0 gives x = 9
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.