11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Factor each quadratic.
1.Factor: x2 − 16x + 64
Answer: (x − 8)(x − 8)
- Find two numbers that multiply to 64 and add to −16: −8 and −8
2.Factor: x2 + 10x + 24
Answer: (x + 4)(x + 6)
- Find two numbers that multiply to 24 and add to 10: 4 and 6
3.Factor: x2 + 11x + 28
Answer: (x + 7)(x + 4)
- Find two numbers that multiply to 28 and add to 11: 7 and 4
4.Factor: x2 − 3x + 2
Answer: (x − 2)(x − 1)
- Find two numbers that multiply to 2 and add to −3: −2 and −1
5.Factor: x2 + x − 6
Answer: (x + 3)(x − 2)
- Find two numbers that multiply to −6 and add to 1: 3 and −2
6.Factor: x2 − 3x − 18
Answer: (x − 6)(x + 3)
- Find two numbers that multiply to −18 and add to −3: −6 and 3
7.Factor: x2 + 4x − 5
Answer: (x + 5)(x − 1)
- Find two numbers that multiply to −5 and add to 4: 5 and −1
8.Factor: x2 − 4x − 45
Answer: (x − 9)(x + 5)
- Find two numbers that multiply to −45 and add to −4: −9 and 5
9.Factor: x2 − 11x + 30
Answer: (x − 5)(x − 6)
- Find two numbers that multiply to 30 and add to −11: −5 and −6
10.Factor: x2 − 2x − 35
Answer: (x + 5)(x − 7)
- Find two numbers that multiply to −35 and add to −2: 5 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.