9th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Factor each quadratic.
1.Factor: x2 + 8x + 7
Answer: (x + 7)(x + 1)
- Find two numbers that multiply to 7 and add to 8: 7 and 1
2.Factor: x2 + 3x − 18
Answer: (x + 6)(x − 3)
- Find two numbers that multiply to −18 and add to 3: 6 and −3
3.Factor: x2 − 64
Answer: (x − 8)(x + 8)
- Find two numbers that multiply to −64 and add to 0: −8 and 8
4.Factor: x2 − 6x + 5
Answer: (x − 1)(x − 5)
- Find two numbers that multiply to 5 and add to −6: −1 and −5
5.Factor: x2 − 4x − 5
Answer: (x − 5)(x + 1)
- Find two numbers that multiply to −5 and add to −4: −5 and 1
6.Factor: x2 + 3x − 54
Answer: (x − 6)(x + 9)
- Find two numbers that multiply to −54 and add to 3: −6 and 9
7.Factor: x2 − 10x + 16
Answer: (x − 2)(x − 8)
- Find two numbers that multiply to 16 and add to −10: −2 and −8
8.Factor: x2 − 5x − 36
Answer: (x + 4)(x − 9)
- Find two numbers that multiply to −36 and add to −5: 4 and −9
9.Factor: x2 + 8x + 16
Answer: (x + 4)(x + 4)
- Find two numbers that multiply to 16 and add to 8: 4 and 4
10.Factor: x2 + x − 12
Answer: (x − 3)(x + 4)
- Find two numbers that multiply to −12 and add to 1: −3 and 4
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.