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10th Grade Factoring and Solving Quadratics Worksheet — Level 2 (Set 2) — Answers

Answer sheet with worked solutions for the 10th Grade quadratics worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics

10th Grade Factoring and Solving Quadratics Worksheet — Level 2 (Set 2) — Answers

Factor, then use the zero product property.

1.Solve: x2 − 25 = 0

Answer: x = −5 or x = 5

  1. Factor: (x + 5)(x − 5) = 0
  2. Zero product property: x + 5 = 0 or x − 5 = 0
  3. x = −5 or x = 5
2.Solve: x2 + 16x + 63 = 0

Answer: x = −7 or x = −9

  1. Factor: (x + 7)(x + 9) = 0
  2. Zero product property: x + 7 = 0 or x + 9 = 0
  3. x = −7 or x = −9
3.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
4.Solve: x2 + 13x + 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
5.Solve: x2 − 16x + 63 = 0

Answer: x = 9 or x = 7

  1. Factor: (x − 9)(x − 7) = 0
  2. Zero product property: x − 9 = 0 or x − 7 = 0
  3. x = 9 or x = 7
6.Solve: x2 + 4x + 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
7.Solve: x2 + 5x + 4 = 0

Answer: x = −1 or x = −4

  1. Factor: (x + 1)(x + 4) = 0
  2. Zero product property: x + 1 = 0 or x + 4 = 0
  3. x = −1 or x = −4
8.Solve: x2 − 12x + 35 = 0

Answer: x = 7 or x = 5

  1. Factor: (x − 7)(x − 5) = 0
  2. Zero product property: x − 7 = 0 or x − 5 = 0
  3. x = 7 or x = 5
9.Solve: x2 − 13x + 36 = 0

Answer: x = 4 or x = 9

  1. Factor: (x − 4)(x − 9) = 0
  2. Zero product property: x − 4 = 0 or x − 9 = 0
  3. x = 4 or x = 9
10.Solve: x2 + 6x + 5 = 0

Answer: x = −5 or x = −1

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