Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring. x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Solving w/ Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Solving w/Completing the Square

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by completing the square: x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

500

Solve the following quadratic equation by completing the square: 2x² - 8x = 10

x = 5 x = -1

Square Roots

100

Simplify the following square root. √(-144)

No Solution , DNE (Does Not Exist)

200

Solve the following square roots.
√(64+36) =
√(64) + √(36) =

√(64+36) = √(100) = 10

√(64) + √(36) = 8 + 6 = 14

300

Simplify the following square root. √(64a⁶)

8a³

400

Simplify the following square root. √(75)

5√(3)

500

Simplify the following square root. √(121x⁴y¹⁰)

11x²y⁵

Completing the Square

100

Complete the square to make a perfect square trinomial. 

x² + 6x + ___

9

200

Complete the square to make a perfect square trinomial. 

x² + 10x + ___

25

300

Complete the square to make a perfect square trinomial. 

x² + 20x + ___ 

100

400

Complete the square to make a perfect square trinomial. 

x² + 18x + ___

81

500

Complete the square to make a perfect square trinomial. 

x² - (1/2)x + ___

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