Solving Quadratic Equations

Zero-Product Property

100

Use the Zero Product Property to solve the following quadratic equation. 

(x - 7)(x + 2) = 0

x = 7 x = -2

200

Use the Zero Product Property to solve the following quadratic equation. 

(x +3)(x -2) = 0

x=-3 and x=2

300

Use the Zero Product Property to solve the following quadratic equation. 

(2x +6)(3x-6) = 0

x=-3 and x=2

400

Use the Zero Product Property to solve the following quadratic equation. 

(2x +5)(3x -5) = 0

x=-5/2 and x=5/3

500

Use the Zero Product Property to solve the following quadratic equation. 

(4x - 8)(3x - 2) = 0

x=2/3 and x=2

Square Root Property

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: x²-225=0

x=-15 and x=15

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: x² +11 =111

x=-10 and x=10

Square Roots

100

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

x = 10 x = -10

200

Solve the following quadratic equations using the square root property: 2x² + 3 = 75

x=-6 and x=6

300

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

x = 5 x = -5

400

Solve the quadratic equation using the square root property: (x-5)²+3=28

x=0 and x=10

500

Solve the quadratic equation using the square root property: (x+3)² -7=29

x=-9 and x=3

Factoring

100

Solve the following quadratic equation by factoring: x²-81=0

x=-9 and x=9

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

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 =0

x = 5 x = -1