10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Factor each quadratic.
1.Factor: x2 + 14x + 45
Answer: (x + 9)(x + 5)
- Find two numbers that multiply to 45 and add to 14: 9 and 5
2.Factor: x2 − 2x − 48
Answer: (x − 8)(x + 6)
- Find two numbers that multiply to −48 and add to −2: −8 and 6
3.Factor: x2 + 18x + 81
Answer: (x + 9)(x + 9)
- Find two numbers that multiply to 81 and add to 18: 9 and 9
4.Factor: x2 + 15x + 56
Answer: (x + 8)(x + 7)
- Find two numbers that multiply to 56 and add to 15: 8 and 7
5.Factor: x2 + 8x + 7
Answer: (x + 7)(x + 1)
- Find two numbers that multiply to 7 and add to 8: 7 and 1
6.Factor: x2 + 8x + 15
Answer: (x + 5)(x + 3)
- Find two numbers that multiply to 15 and add to 8: 5 and 3
7.Factor: x2 + 16x + 63
Answer: (x + 7)(x + 9)
- Find two numbers that multiply to 63 and add to 16: 7 and 9
8.Factor: x2 − 4x − 45
Answer: (x + 5)(x − 9)
- Find two numbers that multiply to −45 and add to −4: 5 and −9
9.Factor: x2 + 5x + 4
Answer: (x + 1)(x + 4)
- Find two numbers that multiply to 4 and add to 5: 1 and 4
10.Factor: x2 − 13x + 40
Answer: (x − 8)(x − 5)
- Find two numbers that multiply to 40 and add to −13: −8 and −5
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.