10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Factor each quadratic.
1.Factor: x2 + 14x + 49
Answer: (x + 7)(x + 7)
- Find two numbers that multiply to 49 and add to 14: 7 and 7
2.Factor: x2 + 16x + 63
Answer: (x + 7)(x + 9)
- Find two numbers that multiply to 63 and add to 16: 7 and 9
3.Factor: x2 + 6x − 27
Answer: (x − 3)(x + 9)
- Find two numbers that multiply to −27 and add to 6: −3 and 9
4.Factor: x2 − 8x − 9
Answer: (x − 9)(x + 1)
- Find two numbers that multiply to −9 and add to −8: −9 and 1
5.Factor: x2 + 6x − 7
Answer: (x − 1)(x + 7)
- Find two numbers that multiply to −7 and add to 6: −1 and 7
6.Factor: x2 + 9x + 14
Answer: (x + 2)(x + 7)
- Find two numbers that multiply to 14 and add to 9: 2 and 7
7.Factor: x2 + 5x + 6
Answer: (x + 3)(x + 2)
- Find two numbers that multiply to 6 and add to 5: 3 and 2
8.Factor: x2 + 5x − 14
Answer: (x − 2)(x + 7)
- Find two numbers that multiply to −14 and add to 5: −2 and 7
9.Factor: x2 − 16x + 63
Answer: (x − 7)(x − 9)
- Find two numbers that multiply to 63 and add to −16: −7 and −9
10.Factor: x2 − 10x + 21
Answer: (x − 7)(x − 3)
- Find two numbers that multiply to 21 and add to −10: −7 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.