11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — Answers
Factor each quadratic.
1.Factor: x2 + 11x + 28
Answer: (x + 4)(x + 7)
- Find two numbers that multiply to 28 and add to 11: 4 and 7
2.Factor: x2 + 9x + 18
Answer: (x + 3)(x + 6)
- Find two numbers that multiply to 18 and add to 9: 3 and 6
3.Factor: x2 + x − 12
Answer: (x − 3)(x + 4)
- Find two numbers that multiply to −12 and add to 1: −3 and 4
4.Factor: x2 − 4x − 12
Answer: (x − 6)(x + 2)
- Find two numbers that multiply to −12 and add to −4: −6 and 2
5.Factor: x2 − 6x − 27
Answer: (x − 9)(x + 3)
- Find two numbers that multiply to −27 and add to −6: −9 and 3
6.Factor: x2 − 9x + 14
Answer: (x − 2)(x − 7)
- Find two numbers that multiply to 14 and add to −9: −2 and −7
7.Factor: x2 + 2x + 1
Answer: (x + 1)(x + 1)
- Find two numbers that multiply to 1 and add to 2: 1 and 1
8.Factor: x2 + 11x + 18
Answer: (x + 9)(x + 2)
- Find two numbers that multiply to 18 and add to 11: 9 and 2
9.Factor: x2 − 1
Answer: (x − 1)(x + 1)
- Find two numbers that multiply to −1 and add to 0: −1 and 1
10.Factor: x2 − 49
Answer: (x + 7)(x − 7)
- Find two numbers that multiply to −49 and add to 0: 7 and −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.