Factoring
Algebraic Solutions
Completing the Square
Quadratic Formula
100
Factor the following quadratic:
x^2+7x+10
(x+5)(x+2)
100
Find the TWO solutions to the quadratic below.
(x-3)^2=25
x=-2,x=8
100
What equation is necessary to complete the square?
(b/2)^2
100
Write out the quadratic formula.
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
200
Factor the following quadratic.
x^2-9x+20
(x-5)(x-4)
200
Find the TWO solutions for the quadratic below.
(x+4)^2-9=0
x=-7,x=-1
200
How would you fill in the area model if b=12?
200
What is the mistake in the following quadratic formula setup.
\frac{(-29)\pm\sqrt{(-29)^2-4(1)(-24)}}{2(4)
no -b
or
4(a)(c) is incorrect, specifically the a value
300
Factor the following quadratic.
2x^2+11x+15
(2x+5)(x+3)
300
Find the TWO solutions for the quadratic below.
2(x-1)^2-18=0
x=-2,x=4
300
What should go in the parenthesis if you are in this step in completing the square?
x^2+8x+( _)=-12+(_)
16
300
Finish simplifying the quadratic formula example below
\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(20)}}{2(1)
x=\frac{4\pm8i}{2
x=2\pm4i
400
Find the solutions for the following quadratic.
3x^2-14x-5
x=-1/3,x=5
400
Find the two solutions to the quadratic below.
3(x+2)^2+5=32
x=-5,x=1
400
What goes in the parenthesis at this step of completing the square if the quadratic is x^2+6x-11=0 .
(.....)^2=20
x+3
400
Solve the following for ALL SOLUTIONS using the quadratic formula.
3x^2-4x-4=0
x=-2/3,x=2
500
Find the solutions for the following quadratic.
6x^2+x-12
x=-3/2 , x=4/3
500
Find the TWO solutions to the quadratic below.
5(x-3/2)^2-20=25
x=-3/2,9/2
500
Write the following quadratic in vertex form.
x^2-12x-20=0
(x-6)^2-56
500
Find ALL solutions for the quadratic below using the quadratic formula (without rounding).
5x^2+14x+8=0
x=-2,x=-4/5