Infinite Algebra 1 - Solving Quadratic Equations Review

Basic Algebra C

Name___________________________________

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Solving Quadratic Equations Review

Date________________

Solve each equation by factoring. 1) x 2 - 16 = 0

2) n 2 - 11n + 24 = 0

3) 5 p 2 - 39 p + 28 = 0

4) 8x 2 + 25x - 28 = 0

5) x 2 - 10x + 28 = 4

6) 8n 2 + 9n - 3 = -4

Worksheet by Kuta Software LLC

-1-

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Solve each equation by completing the square. 7) x 2 + 4x - 62 = 0

8) x 2 + 4x - 67 = 10

9) x 2 - 8x + 1 = 10

10) 5 p 2 - 10 p - 38 = 2

Solve each equation with the quadratic formula. 11) 2m 2 + 5m - 133 = 0

12) 3x 2 - 2x + 1 = 0

13) v 2 - 12v + 29 = -6

14) a 2 + 11a - 3 = -2

Worksheet by Kuta Software LLC

-2-

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Basic Algebra C

Name___________________________________

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Solving Quadratic Equations Review

Date________________

Solve each equation by factoring. 1) x 2 - 16 = 0

2) n 2 - 11n + 24 = 0

{4, -4}

3) 5 p 2 - 39 p + 28 = 0

{8, 3}

4) 8x 2 + 25x - 28 = 0

4 ,7 5

7 , -4 8

{ }

5) x 2 - 10x + 28 = 4

{ }

6) 8n 2 + 9n - 3 = -4

{4, 6}

{

1 - , -1 8

}

Worksheet by Kuta Software LLC

-1-

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Solve each equation by completing the square. 7) x 2 + 4x - 62 = 0

{-2 +

66, -2 -

8) x 2 + 4x - 67 = 10

{7, -11}

66 }

9) x 2 - 8x + 1 = 10

10) 5 p 2 - 10 p - 38 = 2

{9, -1}

{4, -2}

Solve each equation with the quadratic formula. 11) 2m 2 + 5m - 133 = 0

{

7, -9

1 2

12) 3x 2 - 2x + 1 = 0 No solution.

}

13) v 2 - 12v + 29 = -6

14) a 2 + 11a - 3 = -2

{7, 5}

{

-11 + 5 5 -11 - 5 5 , 2 2

}

Worksheet by Kuta Software LLC

-2-

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