9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 2 — Answers
Factor, then use the zero product property.
1.Solve: x2 + x − 56 = 0
Answer: x = −8 or x = 7
- Factor: (x + 8)(x − 7) = 0
- Zero product property: x + 8 = 0 or x − 7 = 0
- x = −8 or x = 7
2.Solve: x2 + 6x + 9 = 0
Answer: x = −3 or x = −3
- Factor: (x + 3)(x + 3) = 0
- Zero product property: x + 3 = 0 or x + 3 = 0
- x = −3 or x = −3
3.Solve: x2 − 4x − 5 = 0
Answer: x = 5 or x = −1
- Factor: (x − 5)(x + 1) = 0
- Zero product property: x − 5 = 0 or x + 1 = 0
- x = 5 or x = −1
4.Solve: x2 − 6x − 7 = 0
Answer: x = −1 or x = 7
- Factor: (x + 1)(x − 7) = 0
- Zero product property: x + 1 = 0 or x − 7 = 0
- x = −1 or x = 7
5.Solve: x2 − 4x − 45 = 0
Answer: x = −5 or x = 9
- Factor: (x + 5)(x − 9) = 0
- Zero product property: x + 5 = 0 or x − 9 = 0
- x = −5 or x = 9
6.Solve: x2 + 13x + 40 = 0
Answer: x = −8 or x = −5
- Factor: (x + 8)(x + 5) = 0
- Zero product property: x + 8 = 0 or x + 5 = 0
- x = −8 or x = −5
7.Solve: x2 − 6x + 5 = 0
Answer: x = 1 or x = 5
- Factor: (x − 1)(x − 5) = 0
- Zero product property: x − 1 = 0 or x − 5 = 0
- x = 1 or x = 5
8.Solve: x2 + 7x + 10 = 0
Answer: x = −5 or x = −2
- Factor: (x + 5)(x + 2) = 0
- Zero product property: x + 5 = 0 or x + 2 = 0
- x = −5 or x = −2
9.Solve: x2 − 13x + 42 = 0
Answer: x = 6 or x = 7
- Factor: (x − 6)(x − 7) = 0
- Zero product property: x − 6 = 0 or x − 7 = 0
- x = 6 or x = 7
10.Solve: x2 + 12x + 27 = 0
Answer: x = −9 or x = −3
- Factor: (x + 9)(x + 3) = 0
- Zero product property: x + 9 = 0 or x + 3 = 0
- x = −9 or x = −3
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.