9th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Factor each quadratic.
1.Factor: x2 − 9
Answer: (x − 3)(x + 3)
- Find two numbers that multiply to −9 and add to 0: −3 and 3
2.Factor: x2 − 16x + 63
Answer: (x − 9)(x − 7)
- Find two numbers that multiply to 63 and add to −16: −9 and −7
3.Factor: x2 − 7x + 6
Answer: (x − 1)(x − 6)
- Find two numbers that multiply to 6 and add to −7: −1 and −6
4.Factor: x2 − 7x + 12
Answer: (x − 3)(x − 4)
- Find two numbers that multiply to 12 and add to −7: −3 and −4
5.Factor: x2 + 8x + 15
Answer: (x + 5)(x + 3)
- Find two numbers that multiply to 15 and add to 8: 5 and 3
6.Factor: x2 − 17x + 72
Answer: (x − 9)(x − 8)
- Find two numbers that multiply to 72 and add to −17: −9 and −8
7.Factor: x2 − 3x − 10
Answer: (x + 2)(x − 5)
- Find two numbers that multiply to −10 and add to −3: 2 and −5
8.Factor: x2 + 7x − 8
Answer: (x − 1)(x + 8)
- Find two numbers that multiply to −8 and add to 7: −1 and 8
9.Factor: x2 + 2x − 15
Answer: (x + 5)(x − 3)
- Find two numbers that multiply to −15 and add to 2: 5 and −3
10.Factor: x2 − x − 72
Answer: (x + 8)(x − 9)
- Find two numbers that multiply to −72 and add to −1: 8 and −9
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.