Solving Quadratics
How Many Solutions?
Applications
Factor It Out
Random Stuff
100
Solve the quadratic by any method:
x^2-16=0
x=-4,4
100
How many solutions does this quadratic have?
2 solutions
100
Mr. Bader is at the park one day. He shoots a stop rocket into the air. Using the model for the height of the rocket, what was the initial height of the rocket. Height is in feet and time in seconds.
y=-2x^2 +16x
0 feet.
100
Factor:
x^2+6x+5
(x+1)(x+5)
100
Name the Monday hating, lasagna loving cartoon cat.
Garfield
200
Solve the quadratic by any method:
x^2-7x+12=0
x=3,4
200
If a quadratic has only one solution. What point on the parabola intersects the x-axis?
The vertex.
200
Mr. Bader is at the park one day. He shoots a stop rocket into the air. Using the model for the height of the rocket, what was the height at 2 seconds? Height is in feet and time in seconds.
y=-2x^2 +16x
24 feet
200
Factor:
2x^2-6x
2x(x-3)
200
Who was the second president of the USA?
John Adams
300
Solve this quadratic by any method:
x^2-5x=0
x=0,5
300
How many solutions does this equation have?
2x^2-3x-1=0
2 solutions
300
The height of ball hit into the air can be modeled by the equation below. When does the ball reach its greatest height? (seconds, feet)
y=-x^2+4x+7
2 seconds
300
Factor:
4x^2-9
(2x-3)(2x+3)
300
What is the name of the supergroup featuring Lucy Dacus, Phoebe Bridgers, and Julien Baker?
Boygenius
400
Solve by any method. Round to the nearest 100th.
x^2+9x+5
x=-8.41, -0.60
400
How many solutions does this equation have?
x^2+12x+36=0
One Solution
400
The height of ball hit into the air can be modeled by the equation below. What is the greatest height of the ball? (seconds, feet)
y=-x^2+4x+7
11 feet
400
Completely Factor;
2x^2-2x-60
2(x-6)(x+5)
400
What is the #1 selling sugar brand in the latest 4 weeks ending April 26, 2023?
Nerds
500
Solve by any method. Round to the nearest 100th.
2x^2-3x=4
x=-0.85,2.35
500
How many solutions does this equation have?
y=4x^2+4x+3
No Solutions.
500
The height of ball hit into the air can be modeled by the equation below. When does the ball hit the ground? (seconds, feet) Round to nearest 100th.
y=-x^2+4x+7
5.32 seconds
500
98x^2-32
2(7x+4)(7x-4)
500
In what year was the first Xbox released?
2001