9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Factor, then use the zero product property.
1.Solve: 3x2 + 9x − 30 = 0
Answer: x = 2 or x = −5
- Factor: (3x − 6)(x + 5) = 0
- 3x − 6 = 0 gives x = 2
- x + 5 = 0 gives x = −5
2.Solve: 2x2 − 26x + 72 = 0
Answer: x = 4 or x = 9
- Factor: (2x − 8)(x − 9) = 0
- 2x − 8 = 0 gives x = 4
- x − 9 = 0 gives x = 9
3.Solve: 3x2 − x − 4 = 0
Answer: x = or x = −1
- Factor: (3x − 4)(x + 1) = 0
- 3x − 4 = 0 gives x =
- x + 1 = 0 gives x = −1
4.Solve: 2x2 + 15x + 18 = 0
Answer: x = − or x = −6
- Factor: (2x + 3)(x + 6) = 0
- 2x + 3 = 0 gives x = −
- x + 6 = 0 gives x = −6
5.Solve: 2x2 + 7x − 4 = 0
Answer: x = or x = −4
- Factor: (2x − 1)(x + 4) = 0
- 2x − 1 = 0 gives x =
- x + 4 = 0 gives x = −4
6.Solve: 3x2 + 22x + 24 = 0
Answer: x = − or x = −6
- Factor: (3x + 4)(x + 6) = 0
- 3x + 4 = 0 gives x = −
- x + 6 = 0 gives x = −6
7.Solve: 2x2 − 19x + 45 = 0
Answer: x = or x = 5
- Factor: (2x − 9)(x − 5) = 0
- 2x − 9 = 0 gives x =
- x − 5 = 0 gives x = 5
8.Solve: 2x2 − 18x + 40 = 0
Answer: x = 4 or x = 5
- Factor: (2x − 8)(x − 5) = 0
- 2x − 8 = 0 gives x = 4
- x − 5 = 0 gives x = 5
9.Solve: 2x2 − 4x − 6 = 0
Answer: x = 3 or x = −1
- Factor: (2x − 6)(x + 1) = 0
- 2x − 6 = 0 gives x = 3
- x + 1 = 0 gives x = −1
10.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
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.