10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — 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 — Answers
Factor each quadratic.
1.Factor: x2 + 14x + 48
Answer: (x + 6)(x + 8)
- Find two numbers that multiply to 48 and add to 14: 6 and 8
2.Factor: x2 + 3x + 2
Answer: (x + 2)(x + 1)
- Find two numbers that multiply to 2 and add to 3: 2 and 1
3.Factor: x2 + 5x − 36
Answer: (x + 9)(x − 4)
- Find two numbers that multiply to −36 and add to 5: 9 and −4
4.Factor: x2 + 7x + 10
Answer: (x + 2)(x + 5)
- Find two numbers that multiply to 10 and add to 7: 2 and 5
5.Factor: x2 − 4
Answer: (x + 2)(x − 2)
- Find two numbers that multiply to −4 and add to 0: 2 and −2
6.Factor: x2 + 2x − 24
Answer: (x − 4)(x + 6)
- Find two numbers that multiply to −24 and add to 2: −4 and 6
7.Factor: x2 − 9x + 8
Answer: (x − 8)(x − 1)
- Find two numbers that multiply to 8 and add to −9: −8 and −1
8.Factor: x2 + 4x − 12
Answer: (x + 6)(x − 2)
- Find two numbers that multiply to −12 and add to 4: 6 and −2
9.Factor: x2 + 13x + 42
Answer: (x + 7)(x + 6)
- Find two numbers that multiply to 42 and add to 13: 7 and 6
10.Factor: x2 − 2x − 48
Answer: (x + 6)(x − 8)
- Find two numbers that multiply to −48 and add to −2: 6 and −8
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.