11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers
Factor, then use the zero product property.
1.Solve: x2 + x − 6 = 0
Answer: x = −3 or x = 2
- Factor: (x + 3)(x − 2) = 0
- Zero product property: x + 3 = 0 or x − 2 = 0
- x = −3 or x = 2
2.Solve: x2 + 8x + 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
3.Solve: x2 + 5x + 4 = 0
Answer: x = −4 or x = −1
- Factor: (x + 4)(x + 1) = 0
- Zero product property: x + 4 = 0 or x + 1 = 0
- x = −4 or x = −1
4.Solve: x2 + x − 20 = 0
Answer: x = −5 or x = 4
- Factor: (x + 5)(x − 4) = 0
- Zero product property: x + 5 = 0 or x − 4 = 0
- x = −5 or x = 4
5.Solve: x2 − 4 = 0
Answer: x = −2 or x = 2
- Factor: (x + 2)(x − 2) = 0
- Zero product property: x + 2 = 0 or x − 2 = 0
- x = −2 or x = 2
6.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
7.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
8.Solve: x2 + 2x − 35 = 0
Answer: x = 5 or x = −7
- Factor: (x − 5)(x + 7) = 0
- Zero product property: x − 5 = 0 or x + 7 = 0
- x = 5 or x = −7
9.Solve: x2 − 3x − 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
10.Solve: x2 − 2x − 15 = 0
Answer: x = 5 or x = −3
- Factor: (x − 5)(x + 3) = 0
- Zero product property: x − 5 = 0 or x + 3 = 0
- x = 5 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.