Success TutoringWorksheets

11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 11th Grade quadratics worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics

11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 2 — Answers

Factor, then use the zero product property.

1.Solve: x2 − 4x − 12 = 0

Answer: x = −2 or x = 6

  1. Factor: (x + 2)(x − 6) = 0
  2. Zero product property: x + 2 = 0 or x − 6 = 0
  3. x = −2 or x = 6
2.Solve: x2 − 6x − 27 = 0

Answer: x = −3 or x = 9

  1. Factor: (x + 3)(x − 9) = 0
  2. Zero product property: x + 3 = 0 or x − 9 = 0
  3. x = −3 or x = 9
3.Solve: x2 − 2x − 35 = 0

Answer: x = −5 or x = 7

  1. Factor: (x + 5)(x − 7) = 0
  2. Zero product property: x + 5 = 0 or x − 7 = 0
  3. x = −5 or x = 7
4.Solve: x2 − 3x − 18 = 0

Answer: x = −3 or x = 6

  1. Factor: (x + 3)(x − 6) = 0
  2. Zero product property: x + 3 = 0 or x − 6 = 0
  3. x = −3 or x = 6
5.Solve: x2 − 4x − 21 = 0

Answer: x = −3 or x = 7

  1. Factor: (x + 3)(x − 7) = 0
  2. Zero product property: x + 3 = 0 or x − 7 = 0
  3. x = −3 or x = 7
6.Solve: x2 + 6x − 16 = 0

Answer: x = 2 or x = −8

  1. Factor: (x − 2)(x + 8) = 0
  2. Zero product property: x − 2 = 0 or x + 8 = 0
  3. x = 2 or x = −8
7.Solve: x2 − 9x + 20 = 0

Answer: x = 5 or x = 4

  1. Factor: (x − 5)(x − 4) = 0
  2. Zero product property: x − 5 = 0 or x − 4 = 0
  3. x = 5 or x = 4
8.Solve: x2 − 9x + 18 = 0

Answer: x = 6 or x = 3

  1. Factor: (x − 6)(x − 3) = 0
  2. Zero product property: x − 6 = 0 or x − 3 = 0
  3. x = 6 or x = 3
9.Solve: x2 + 10x + 24 = 0

Answer: x = −6 or x = −4

  1. Factor: (x + 6)(x + 4) = 0
  2. Zero product property: x + 6 = 0 or x + 4 = 0
  3. x = −6 or x = −4
10.Solve: x2 + 5x − 36 = 0

Answer: x = −9 or x = 4

  1. Factor: (x + 9)(x − 4) = 0
  2. Zero product property: x + 9 = 0 or x − 4 = 0
  3. x = −9 or x = 4
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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: