Factoring
Square Roots
Vocabulary
Intercepts
The Real World
100

Solve the following equation. (x - 7)(x + 2) = 0

What is x = 7 and x = -2?

100

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

What is x = 2 and x = -2?

100

Every quadratic equation has a U-shaped graph called this.

What is a parabola?

100

Name the y-intercept. x^2+6x-8.

What is (0, -8)?

100

A diver jumps into a pool. The equation h(t)=-16t^2+6t+12 describes the height in feet as a function of time in seconds. Name the starting height of the diver.

What is 12 feet?

200

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

What is x = -2 and x = -1?

200

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

What is x=11 and x=-11?

200

The highest or lowest point on a parabola. 

What is the vertex?

200

Name the x-intercepts. y=2(x-2)(x+6)

What is (2, 0) and (-6, 0)?

200

A diver jumps into a pool. The equation h(t)=-16t^2+6t+12 describes the height in feet as a function of time in seconds. What height is the diver at after 1 second? 

What is 2 feet?

300

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

What is x = 5 and x = 1?

300

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

What is x = 10 and x = -10?

300

When a quadratic equation is written in this form y=ax^2+bx+c.

What is standard form?

300

Name the x-intercepts. y=x^2-9

What is (3, 0) and (-3, 0)?

300

A rock climber accidentally drops rocks from 400 feet high. Using the equation y=-16t^2+400, when will the rocks hit the ground?

What is 5 seconds?

400

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

What is x = 9 and x = -3?

400

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

What is x=1 and x=-1?

400

The line that runs through the vertex and divides the parabola in exactly half.

What is the axis of symmetry?

400

Name the y-intercept. y=(x-6)(x-5)

What is (0, 30)?

400

A model rocket takes off from the ground. The height in feet and time in seconds can be modeled using the equation y=-16x^2+192x. How long does it take for the rocket to hit the ground?

What is 12 seconds?

500

Solve the following quadratic equation by factoring. 2x2 - 6x + 4 = 0

What is x = 2 and x = 1?

500

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

What is x = 5 and x = -5?

500

The number before the x^2 that determines whether a parabola opens up or down.

What is the leading coefficient?

500

Name the x-intercept. y=x^2+8x+16

What is (-4, 0)?

500

A model rocket takes off from the ground. The height in feet and time in seconds can be modeled using the equation y=-16x^2+192x. What is the maximum height that the rocket reaches?  

What is 576 feet?