Use the Zero Product Property to solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7
x = -2
100
Solve the following quadratic equation by using square roots:
x^2 = 4
x = 2
x = -2
100
The profit equation for a manufacturing company is
P = x^2 - 2500, where P is profit, and x is the umber of units sold. For what number of units sold does the company break even?
50 units
100
What is the quadratic formula?
x = -b +- sqrt(b^2 - 4ac)
2a
100
Find the vertex of
f(x)=-x^2+8x-15
(4,1)
200
Solve the following quadratic equation by factoring.
x^2 + 3x + 2 = 0
x = -2
x = -1
200
Solve the following quadratic equation by using square roots:
x^2 = 121
+11 or -11
200
If the length of a rectangle is (x-2), the width is (x+8), and the area is 39 square feet, what is the value of x?
5 feet
200
Solve the following quadratic equation by using the quadratic formula:
x^2 + 6x + 5 = 0
x = -1
x = -5
200
Find the vertex of
f(x)=x^2-2x
(1,-1)
300
Solve the following quadratic equation by factoring.
x^2 - 6x + 5 = 0
x = 5
x = 1
300
Solve the following quadratic equation by using square roots:
4x^2 = 400
x = 10
x = -10
300
April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the arrow can be represented by the equation h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds. What is the maximum height of the arrow?
125 feet
300
Solve the following quadratic equation by using the quadratic formula:
x^2 - 9x + 20 = 0
x = 5
x = 4
300
Find the vertex of
f(x)=5x^2+2x-2
(-1/5,-11/5)
400
Solve the following quadratic equation by factoring.
x^2 - 6x - 27 = 0
x = 9
x = -3
400
Solve the following quadratic equation by using square roots:
x^2 -9 = -8
1 or -1
400
April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the arrow can be represented by the equation h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds. How long before the Arrow hits a bullseye that is 4 feet off the ground?
5.25 seconds
400
Solve the following quadratic equation by using the quadratic formula:
2x^2 + 9x + 4 = 0
x = -1/2
x = -4
400
f(x)=-x^2-4x
(-2,4)
500
Solve the following quadratic equation by factoring.
2x^2 - 5x - 3 = 0
x = -1/2
x = 3
500
Solve the following quadratic equation by using square roots:
5x^2 + 3 = 128
x = 5
x = -5
500
A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h= -16t^2 + 320. How long will it take the rock to reach the river?
4.5 seconds
500
Solve the following quadratic equation by using the quadratic formula:
4x^2 - 17x - 15 = 0