9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers
Factor, then use the zero product property.
1.Solve: x2 + 4x − 12 = 0
Answer: x = 2 or x = −6
- Factor: (x − 2)(x + 6) = 0
- Zero product property: x − 2 = 0 or x + 6 = 0
- x = 2 or x = −6
2.Solve: x2 − 12x + 36 = 0
Answer: x = 6 or x = 6
- Factor: (x − 6)(x − 6) = 0
- Zero product property: x − 6 = 0 or x − 6 = 0
- x = 6 or x = 6
3.Solve: x2 + 2x − 63 = 0
Answer: x = 7 or x = −9
- Factor: (x − 7)(x + 9) = 0
- Zero product property: x − 7 = 0 or x + 9 = 0
- x = 7 or x = −9
4.Solve: x2 + 3x − 4 = 0
Answer: x = 1 or x = −4
- Factor: (x − 1)(x + 4) = 0
- Zero product property: x − 1 = 0 or x + 4 = 0
- x = 1 or x = −4
5.Solve: x2 + x − 56 = 0
Answer: x = 7 or x = −8
- Factor: (x − 7)(x + 8) = 0
- Zero product property: x − 7 = 0 or x + 8 = 0
- x = 7 or x = −8
6.Solve: x2 − x − 20 = 0
Answer: x = −4 or x = 5
- Factor: (x + 4)(x − 5) = 0
- Zero product property: x + 4 = 0 or x − 5 = 0
- x = −4 or x = 5
7.Solve: x2 + 8x − 9 = 0
Answer: x = 1 or x = −9
- Factor: (x − 1)(x + 9) = 0
- Zero product property: x − 1 = 0 or x + 9 = 0
- x = 1 or x = −9
8.Solve: x2 + 5x + 6 = 0
Answer: x = −2 or x = −3
- Factor: (x + 2)(x + 3) = 0
- Zero product property: x + 2 = 0 or x + 3 = 0
- x = −2 or x = −3
9.Solve: x2 − 2x − 48 = 0
Answer: x = −6 or x = 8
- Factor: (x + 6)(x − 8) = 0
- Zero product property: x + 6 = 0 or x − 8 = 0
- x = −6 or x = 8
10.Solve: x2 − 14x + 49 = 0
Answer: x = 7 or x = 7
- Factor: (x − 7)(x − 7) = 0
- Zero product property: x − 7 = 0 or x − 7 = 0
- x = 7 or x = 7
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.