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9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 9th Grade quadratics worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Quadratics

9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Answers

Factor, then use the zero product property.

1.Solve: x2 + 5x + 4 = 0

Answer: x = −4 or x = −1

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

Answer: x = 1 or x = −1

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

Answer: x = 1 or x = −3

  1. Factor: (x − 1)(x + 3) = 0
  2. Zero product property: x − 1 = 0 or x + 3 = 0
  3. x = 1 or x = −3
4.Solve: x2 + 13x + 42 = 0

Answer: x = −7 or x = −6

  1. Factor: (x + 7)(x + 6) = 0
  2. Zero product property: x + 7 = 0 or x + 6 = 0
  3. x = −7 or x = −6
5.Solve: x2 + 2x − 48 = 0

Answer: x = 6 or x = −8

  1. Factor: (x − 6)(x + 8) = 0
  2. Zero product property: x − 6 = 0 or x + 8 = 0
  3. x = 6 or x = −8
6.Solve: x2 − 6x − 7 = 0

Answer: x = 7 or x = −1

  1. Factor: (x − 7)(x + 1) = 0
  2. Zero product property: x − 7 = 0 or x + 1 = 0
  3. x = 7 or x = −1
7.Solve: x2 − 13x + 40 = 0

Answer: x = 8 or x = 5

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

Answer: x = 1 or x = −5

  1. Factor: (x − 1)(x + 5) = 0
  2. Zero product property: x − 1 = 0 or x + 5 = 0
  3. x = 1 or x = −5
9.Solve: x2 − 16 = 0

Answer: x = −4 or x = 4

  1. Factor: (x + 4)(x − 4) = 0
  2. Zero product property: x + 4 = 0 or x − 4 = 0
  3. x = −4 or x = 4
10.Solve: x2 − 10x + 16 = 0

Answer: x = 8 or x = 2

  1. Factor: (x − 8)(x − 2) = 0
  2. Zero product property: x − 8 = 0 or x − 2 = 0
  3. x = 8 or x = 2
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