10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — 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 3 — Practice Set 3 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 − 14x + 24 = 0
Answer: x = 3 or x = 4
- Factor: (2x − 6)(x − 4) = 0
- 2x − 6 = 0 gives x = 3
- x − 4 = 0 gives x = 4
2.Solve: 3x2 + 18x + 15 = 0
Answer: x = -1 or x = −5
- Factor: (3x + 3)(x + 5) = 0
- 3x + 3 = 0 gives x = -1
- x + 5 = 0 gives x = −5
3.Solve: 3x2 − 22x + 35 = 0
Answer: x = or x = 5
- Factor: (3x − 7)(x − 5) = 0
- 3x − 7 = 0 gives x =
- x − 5 = 0 gives x = 5
4.Solve: 2x2 + 22x + 36 = 0
Answer: x = -2 or x = −9
- Factor: (2x + 4)(x + 9) = 0
- 2x + 4 = 0 gives x = -2
- x + 9 = 0 gives x = −9
5.Solve: 3x2 − 31x + 36 = 0
Answer: x = or x = 9
- Factor: (3x − 4)(x − 9) = 0
- 3x − 4 = 0 gives x =
- x − 9 = 0 gives x = 9
6.Solve: 2x2 − 9x − 35 = 0
Answer: x = − or x = 7
- Factor: (2x + 5)(x − 7) = 0
- 2x + 5 = 0 gives x = −
- x − 7 = 0 gives x = 7
7.Solve: 3x2 + 11x − 4 = 0
Answer: x = or x = −4
- Factor: (3x − 1)(x + 4) = 0
- 3x − 1 = 0 gives x =
- x + 4 = 0 gives x = −4
8.Solve: 3x2 − 36x + 81 = 0
Answer: x = 3 or x = 9
- Factor: (3x − 9)(x − 9) = 0
- 3x − 9 = 0 gives x = 3
- x − 9 = 0 gives x = 9
9.Solve: 2x2 − 12x − 14 = 0
Answer: x = -1 or x = 7
- Factor: (2x + 2)(x − 7) = 0
- 2x + 2 = 0 gives x = -1
- x − 7 = 0 gives x = 7
10.Solve: 3x2 + 20x − 63 = 0
Answer: x = or x = −9
- Factor: (3x − 7)(x + 9) = 0
- 3x − 7 = 0 gives x =
- x + 9 = 0 gives x = −9
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.
Great work. Here's what to try next: