Radical Expressions
Graphing
Square Roots
Completing the Square
Quadratic Formula
100
Simplify the expression
sqrt(72)
6sqrt(2)
100
How do you graph a quadratic equation?
Find the vertex and then 2-3 point and graph them and their reflections
100
Solve the equation using square roots
x^2+5=17
x=+-2sqrt(3)
100
Solve the equation by completing the square
x^2+6x-40=0
x^2+6x+9=49
(x+3)^2=49
x+3=+-7
x=4 and x=-10
100
What is the quadratic formula?
(-b+-sqrt(b-4ac))/(2a)
200
Simplify the expression
sqrt(45/7)
(3sqrt(35))/7
200
Find the vertex of the quadratic equation
-x^2-5x-4=0
(-2.5, 2.25)
x=(-(-5))/(2(-1))=-2.5
y=-(-2.5)^2-5(-2.5)-4=2.25
200
Solve the equation using square roots
(x+2)^2=64
x=6 and x=-10
200
Determine whether the quadratic function has a maximum or minimum value. Then find the value.
y=-x^2-6x-1
it has a maximum and it is 8
200
Solve the equation using the Quadratic Formula
x^2+2x-15=0
x=-5 and x=3
(-2+-sqrt(2^2-4(1)(-15)))/(2(1))
(-2+-sqrt(64))/2
(-2+-8)/2
300
Simplify the expression
root3(125/4)
(5root3(2))/2
300
if the vertex of the equations
x^2-9x+18=0 is (4.5, -2.25), what are a 3 x values you should use to find more points for the graph?
5, 6, 7 or 4, 3, 2
300
Solve the equation using square roots
(x-1)^2=0
x=1
300
Solve the equation by completing the square
2x^2-4x=10
x^2-2x=5
x^2-2x+1=6
(x-1)^2=6
x-1=+-sqrt6
x=1+-sqrt6
300
Determine the number of solutions.
-5x^2-6x=-3
two solutions
(-6)^2-4(-5)(3)=96
400
Simplify the expression
4sqrt(2)+5sqrt(12)
14sqrt(2)
400
What is the solutions for the shown graph?
x=-2 & x=1
400
Solve the equation using square roots
4x^2+25=-75
no solutions
400
Determine whether the quadratic function has a maximum or minimum value. Then find the value.
y=3x^2-24x+15
has a minimum since a is +
and it is -33
400
Solve the equation using the Quadratic Formula
2x^2-x+8=16
x=
2x^2-x-8=0
(-(-1)+-sqrt((-1)^2-4(2)(-8)))/(2(2))
(1+-sqrt(1+64))/(4)
(1+-sqrt(65))/(4)