9th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Quadratics9th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Answers
Factor each quadratic.
1.Factor: x2 + 15x + 56
Answer: (x + 7)(x + 8)
- Find two numbers that multiply to 56 and add to 15: 7 and 8
2.Factor: x2 + 13x + 36
Answer: (x + 9)(x + 4)
- Find two numbers that multiply to 36 and add to 13: 9 and 4
3.Factor: x2 + 12x + 32
Answer: (x + 4)(x + 8)
- Find two numbers that multiply to 32 and add to 12: 4 and 8
4.Factor: x2 − 9x + 18
Answer: (x − 6)(x − 3)
- Find two numbers that multiply to 18 and add to −9: −6 and −3
5.Factor: x2 − 12x + 32
Answer: (x − 4)(x − 8)
- Find two numbers that multiply to 32 and add to −12: −4 and −8
6.Factor: x2 − 36
Answer: (x + 6)(x − 6)
- Find two numbers that multiply to −36 and add to 0: 6 and −6
7.Factor: x2 + 2x − 48
Answer: (x − 6)(x + 8)
- Find two numbers that multiply to −48 and add to 2: −6 and 8
8.Factor: x2 − 14x + 48
Answer: (x − 6)(x − 8)
- Find two numbers that multiply to 48 and add to −14: −6 and −8
9.Factor: x2 + 5x − 36
Answer: (x − 4)(x + 9)
- Find two numbers that multiply to −36 and add to 5: −4 and 9
10.Factor: x2 + 8x + 7
Answer: (x + 7)(x + 1)
- Find two numbers that multiply to 7 and add to 8: 7 and 1
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.