All About Parabolas
Operations with Polynomials
Word Problems
Factoring Quadratics
Solving Quadratics
Miscellaneous
100
What direction does this parabola open?
y=-x2+3x+10
Down, because the coefficient of the x2 term is negative.
100
(2x2+3x-7)+(3x2-4x-10)
5x2-x-17
100
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in feet above the ground after t seconds is modeled by h=40+120t-16t2
From what height was the pumpkin launched?
40 feet
100
Factor the following Quadratic Equation
x2-16=0
(x+4)(x-4)
100
Solve the following Quadratic Equation
x2-16=0
x=-4 and x=4
100
Name a real world application of quadratics.
examples: anything launched or shot into the air, dimensions when determining area of a square or rectangle, ________
200
What is the y-intercept of the following quadratic?
y=3x2-12x+10
(0,10)
200
(5x2-12x+1)-(2x2+3x-7)
3x2-15x+8
200
The length of a rectangle is 7 more than the width. If the area of the rectangle is 60 square inches, what are the dimensions of the rectangle?
5 inches by 12 inches
200
Factor the following Quadratic Equation
x2+7x+10=0
(x+5)(x+2)
200
Solve the following Quadratic Equation
x2+7x+10=0
x=-5 and x=-2
200
What is Aladdin’s monkey friend called?
Abu
300
What is the vertex of the following function?
y=(x-4)(x+2)
(-1, -5)
300
Simplify the product of (3x-5)(x-8)
3x2-29x+40
300
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in meters above the ground after t seconds is modeled by h=6+5t-t2
How long was the pumpkin in the air?
6 seconds
300
Factor the following Quadratic Equation
x2-8x+15=0
(x-3)(x-5)
300
Solve the following Quadratic Equation
x2-2x-15=0
x=-3 and x=5
300
How many colors are there in the rainbow?
7
400
What are the roots of the quadratic?
y=2x2-12x+10
x=5 and x=1
400
Simplify the product of (2x-4)(x+3)
2x2+2x-12
400
A flare is lunched up with an initial velocity of 64 feet per second from the top of a 200 foot building. The equation h(t)=-16t2+16t+96 models this situation. Determine the maximum height of the flare and the time it takes to reach that maximum.
100 feet in 0.5 seconds
400
Factor the following Quadratic Equation
10x2+17x+3=0
(2x+3)(5x+1)
400
Solve the following Quadratic Equation
9x2-9x-18=0
x=-1 and x=2
400
What is the quadratic equation for the parabola below? 
y=-x2+2x+3
500
What are the x-intercepts of the following function?
y=-x2+3x+10
x=-2 and x=5
500
Simplify the product of (3x-4)2
9x2-24x+16
500
At a swim meet, Janet dives from a diving board that is 20 feet high. Her position above the ware is represented by the equation y=-16x2+12x+40, where x represents the time in seconds and y represents the height above the water. After how many seconds does Janet enter the water?
2 seconds
Factor out -4
y=-4(4x2-3x-10)
y=-4(4x+5)(x-2)
x=-5/4 or x=2 (only 2 is positive)
500
The area of a rectangle is represented by the equation 3x2+17x+10. Find the dimensions of the rectangle in terms of x.
(x+5)(3x+2)
500
Solve the following Quadratic Equation
2x2+5x-3=0
x=-3 and x=1/2
500
What is the 6th digit in pi?
3.1415926535