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. x² - x - 20 = 0

x = 5 x = -4

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

Discriminant

100

Find the number of solutions: x² + 6x +7 = 0

2 Solutions

200

Find the number of solutions: x² + 5x = -8

0 Solutions

300

Find the number of solutions:  2x² - 10x = 0

2 Solutions

400

Find the discriminant: 3x² - 9x +12  = 0

-63

500

Find the discriminant: -x² + 8x - 16 = 0

0

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

Misc

100

What's the room number of this classroom?

2243

200

Who is on the US 20 dollar bill?

Andrew Jackson

300

What is the name of Jack Skellington's dog?

Zero

400

What is the name of the Straw Hats pirates first ship in the anime One Piece?

Going Merry

500

What is the name of the home of the Gods in Greek Mythology?

Mount Olympus