Solving Quadratic Equations

Factoring & solving

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

100

Solve the following quadratic equation: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation : x² = 121

+11 or -11

300

Solve the following quadratic equation: 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: 5x² -125 = 0

x = 5 x = -5

More Solving by Factoring

100

Solve the following quadratic equation : x² + 6x +8= 0

x = -2 x = -4

200

Solve the following quadratic equation: x² - 6x +5 =0

x = 1 x = 5

300

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

x = -4 x = 6

400

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

x = -2 x = -8

500

Solve the following quadratic equation 2x² - 8x = 10

x = 5 x = -1

Quadratics & Graph Vocab

100

The shape of the graph of a quadratic function is called a what?

Parabola

200

If you plug in 0 for x into a quadratic equation you'll find the what?

y - intercept

300

The maximum or minimum point of a parabola is called the what?

Vertex

400

What is standard form of a quadratic expression?

ax²+bx+c

500

When we find where a quadratic function equals zero, we are finding these key points on its graph

The x - intercepts

Application Station

100

The height of a launched object in feet is given by the equation h(t)= -16t²+30t+500

What was it's starting height?

500 feet

200

The height of a launched object in feet is given by the equation h(t)= (6-t)(5t+20) where t is seconds

How long did it take or the object to hit the ground?

6 seconds

300

The height of a launched object in feet is given by the equation h(t)= (6-t)(5t+20)

What was it's starting height?

120 feet

400

An object was launched by a catapult from a starting height of 10 feet and an upward velocity of 30 feet/second. Using that the effect of gravity is -16t², write an equation in standard form to model the height of the object. 

y=-16t²+30t+10

500

The height of a launched object in feet is given by the equation h(t)= (6-t)(5t-20) where t is time in seconds

What was its maximum height and when did it occur?

125 ft after 1 second