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

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

Word Problems

100

If Markipler throws a ball and the shape of its path is y 16x² +20x +12  feet, How high up did he throw the ball from?

12 feet

200

If a rock is kicked and its path is represented by -x² + 6x + 5 = 0. How long did it take the rock to land if x is measured in seconds?

6.742 seconds

300

Mrs. Haigler's snake has a toy in its enclosure. He moves it around his cage for a bit before he gets bored. If the equation of his movement is represented by -x² + 9x - 20 = 0, how long did he wait to roll it if x is measured in minutes?

He waited roughly 4 minutes to roll it.

400

A rocket is launched with the intention of heading for Jupiter. Given the equation below, what is the starting height in feet?

y= -16x² + 17x

0 feet.

500

An object is dropped from a 15 foot cliff. Using this formula, -16x² - 17x + 15 = 0 with x being seconds:

1. Find the maximum of the parabola

2. Find the amount of time it takes the object to land.

1. (-0.531, 19.516)

2. 0.573 seconds

Find The Vertex

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Find the vertex of f(x)=x²-2x

(1,-1)

300

Find the vertex of f(x)=5x²+2x-2

(-1/5,-11/5)

400

f(x)=-x²-4x

(-2,4)

500

Find the vertex of x=5y²+4y+3

(11/5,-2/5)

Old Cartoons

100

What is the name of the cartoon revolving around a man who persues young women. (He is based on Elvis Presly)

Johnny Bravo

200

Finish the theme song:

"You and me will always be tight. Family every________"

Single day and night.

300

What color is Dale's nose in the Disney original tv series "Chip and Dale: Rescue Rangers"

Red

400

What is the color order of Timmy Turner's outfit going from bottom to top. (include his hair color)

Blue, Pink, Brown, Pink

500

What is the name of the canceled tv series involving a small, green alien who plans to take over the world.

Invader Zim