Factoring
Foil
Completing the Square
Quadratic Formula
Word Problems
100
Solve for n:
n^2-45n=0
What is n=0, n=45
100
FOIL: (x + 2)(x + 5)
What is x^2+7x+10
100
x^2-12x+x=0
What is x=36
100
x^2-5=5x
What is x=3 or 2
100
The length of the model is 2x+1 and the width is x+1. If the total area is 28 square units, write an equation to find x. Then solve for x by completing the square. 
What is
2x^2+3x+1=28; x=3
200
Solve for v:
v^2–12v+20=0
What is n=2 n=10
200
FOIL: (x+12)(x+4)
What is x^2+16x+48
200
x^2 + 22x + x=0
what is n=121
200
x^2-2x-8=0
What is x=4 or -2
200
Suppose a woodworker wants to build a tabletop like the one shown. If the surface area is
26 ft^2, what is the value of x?
what is about 2.12 ft
300
2x^2-x=3
What is
3/2 and -1
300
FOIL: (x+3)(x-12)
What is x^2-9x-36
300
x^2-2x+1=0
What is
x=1 or +- sqrt2
300
5x^2 + 6x + 1 = 0
What is x = −0.2 or −1
300
The sides of a square are all increased by 3 cm. The area of the new square is 64 cm. Find the length of the original square.
What is 5 cm
400
n^2+n-12=0
what is n=-4 or n=3
400
FOIL: (x-15)(x+4)
What is x^2-11x-60
400
x^2-6m=247
What is m=19 or m=-13
400
5x^2+16x-84=0
What is x=2.8 or -6
400
Suppose a football player kicks a ball and gives it an initial upwards velocity of 47 ft/2. The starting height of the football is 3 ft. If no one catches the ball, how long will it be in the air?
What is
t=-0.06 or t=3
500
2c^2-7c=-5
what is c=1 or c=2.5
500
FOIL: (x+37)(x-108)
What is x^2-71x-3996
500
x^2+5x+3=0
What is x=-0.70 or -4.30
500
8x^2-3-7=0
What is x=1.14 or -0.77
500
A child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft. Substitute the values into the vertical motion formula and let h=0. Use the quadratic formula to solve for t. How long is the ball in the air?
what is 0.8 seconds