9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade quadratics worksheet.
9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 − 13x + 18 = 0
Answer: x = or x = 2
- Factor: (2x − 9)(x − 2) = 0
- 2x − 9 = 0 gives x =
- x − 2 = 0 gives x = 2
2.Solve: 3x2 + 15x + 12 = 0
Answer: x = -1 or x = −4
- Factor: (3x + 3)(x + 4) = 0
- 3x + 3 = 0 gives x = -1
- x + 4 = 0 gives x = −4
3.Solve: 3x2 + 13x − 56 = 0
Answer: x = or x = −7
- Factor: (3x − 8)(x + 7) = 0
- 3x − 8 = 0 gives x =
- x + 7 = 0 gives x = −7
4.Solve: 2x2 − 5x − 3 = 0
Answer: x = − or x = 3
- Factor: (2x + 1)(x − 3) = 0
- 2x + 1 = 0 gives x = −
- x − 3 = 0 gives x = 3
5.Solve: 2x2 − 22x + 48 = 0
Answer: x = 3 or x = 8
- Factor: (2x − 6)(x − 8) = 0
- 2x − 6 = 0 gives x = 3
- x − 8 = 0 gives x = 8
6.Solve: 2x2 + 25x + 63 = 0
Answer: x = − or x = −9
- Factor: (2x + 7)(x + 9) = 0
- 2x + 7 = 0 gives x = −
- x + 9 = 0 gives x = −9
7.Solve: 2x2 + 21x + 40 = 0
Answer: x = − or x = −8
- Factor: (2x + 5)(x + 8) = 0
- 2x + 5 = 0 gives x = −
- x + 8 = 0 gives x = −8
8.Solve: 2x2 − 18x + 36 = 0
Answer: x = 3 or x = 6
- Factor: (2x − 6)(x − 6) = 0
- 2x − 6 = 0 gives x = 3
- x − 6 = 0 gives x = 6
9.Solve: 3x2 − 16x + 5 = 0
Answer: x = or x = 5
- Factor: (3x − 1)(x − 5) = 0
- 3x − 1 = 0 gives x =
- x − 5 = 0 gives x = 5
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.
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