10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade quadratics worksheet.
10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 + 20x + 32 = 0
Answer: x = -2 or x = −8
- Factor: (2x + 4)(x + 8) = 0
- 2x + 4 = 0 gives x = -2
- x + 8 = 0 gives x = −8
2.Solve: 3x2 + 2x − 16 = 0
Answer: x = − or x = 2
- Factor: (3x + 8)(x − 2) = 0
- 3x + 8 = 0 gives x = −
- x − 2 = 0 gives x = 2
3.Solve: 3x2 − 14x + 16 = 0
Answer: x = or x = 2
- Factor: (3x − 8)(x − 2) = 0
- 3x − 8 = 0 gives x =
- x − 2 = 0 gives x = 2
4.Solve: 2x2 + 11x − 40 = 0
Answer: x = or x = −8
- Factor: (2x − 5)(x + 8) = 0
- 2x − 5 = 0 gives x =
- x + 8 = 0 gives x = −8
5.Solve: 2x2 + 9x + 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 − 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
7.Solve: 3x2 + 4x − 4 = 0
Answer: x = or x = −2
- Factor: (3x − 2)(x + 2) = 0
- 3x − 2 = 0 gives x =
- x + 2 = 0 gives x = −2
8.Solve: 3x2 + 18x + 24 = 0
Answer: x = -2 or x = −4
- Factor: (3x + 6)(x + 4) = 0
- 3x + 6 = 0 gives x = -2
- x + 4 = 0 gives x = −4
9.Solve: 3x2 − 12 = 0
Answer: x = 2 or x = −2
- Factor: (3x − 6)(x + 2) = 0
- 3x − 6 = 0 gives x = 2
- x + 2 = 0 gives x = −2
10.Solve: 2x2 − 13x − 45 = 0
Answer: x = − or x = 9
- Factor: (2x + 5)(x − 9) = 0
- 2x + 5 = 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.
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