9th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Factor each quadratic.
1.Factor: x2 − 4x − 12
Answer: (x − 6)(x + 2)
- Find two numbers that multiply to −12 and add to −4: −6 and 2
2.Factor: x2 + 4x − 32
Answer: (x − 4)(x + 8)
- Find two numbers that multiply to −32 and add to 4: −4 and 8
3.Factor: x2 − 13x + 36
Answer: (x − 4)(x − 9)
- Find two numbers that multiply to 36 and add to −13: −4 and −9
4.Factor: x2 − 2x − 24
Answer: (x + 4)(x − 6)
- Find two numbers that multiply to −24 and add to −2: 4 and −6
5.Factor: x2 − 8x − 9
Answer: (x + 1)(x − 9)
- Find two numbers that multiply to −9 and add to −8: 1 and −9
6.Factor: x2 + 10x + 21
Answer: (x + 7)(x + 3)
- Find two numbers that multiply to 21 and add to 10: 7 and 3
7.Factor: x2 + 3x − 54
Answer: (x + 9)(x − 6)
- Find two numbers that multiply to −54 and add to 3: 9 and −6
8.Factor: x2 − 6x + 9
Answer: (x − 3)(x − 3)
- Find two numbers that multiply to 9 and add to −6: −3 and −3
9.Factor: x2 − 4x − 21
Answer: (x + 3)(x − 7)
- Find two numbers that multiply to −21 and add to −4: 3 and −7
10.Factor: x2 + x − 6
Answer: (x − 2)(x + 3)
- Find two numbers that multiply to −6 and add to 1: −2 and 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.