Factoring Quadratics
Solving Quadratics
Square Roots
Complex Numbers
Graphing Quadratics
100
Factoring the following quadratic: x2 + 6x + 8
(x + 4) (x + 2)
or
(x + 2)(x + 4)
100
Solve:
x2−5x+6=0
x = 2 , 3
100
Simplify: √64
8
100
Simplify:
3 + 4 + 6i
7+6i
100
Solve the systems of quadratics using the graph:
(-3 , 4) , (1, 0)
200
Factoring the following quadratic: x2 - 5x + 4
(x - 4) (x - 1)
or
(x - 1)(x - 4)
200
Solve:
x2+13x+30=0
x = -10 , -3
200
Simplify: √-36
6i
200
Simplify: −1 − 8i − 4 − i
-5 - 9i
200
How many unique solutions are there to the following system of equations?
y = x2 - 5x + 3 and y = x - 6
1
300
Factoring the following quadratic: 4x2 - 121
Hint: Difference of squares
(2x + 11) (2x - 11)
300
Solve using factoring:
2x2+7x+3=0
x = -3 , -1/2
300
Simplify: √20
2√5
300
Simplify: 4i(−2 − 8i)
32 - 8i
300
Solve the systems of quadratics by graphing:
2x + y = 2
y = (x - 1)2 + 1
(0,2)
400
Factoring the following quadratic: 3x2 - 6x + 4x - 8
Hint: Factor by grouping
(3x + 4)(x - 2)
or
(x - 2)(3x + 4)
400
Solve using the quadratic formula:
4x2 - 8x - 12 = 0
x = -1 , 3
400
Simplify √180
6√5
400
Simplify:
(7 − 6i)(−8 + 3i)
-38 - 27i
400
Solve the systems of quadratics by graphing:
y = x + 3
y = x2 - 2x - 1
x = -1 , 4
500
Factoring the following quadratic: 5x2 + 14x + 8
Hint: Factoring using the X method, then group
(5x + 4)(x + 2)
or
(x + 2)(5x + 4)
500
Solve using the quadratic formula:
x2 = 20 - 4x
-2 ± 2√6
500
Simplify: √-252
6i√7
500
Simplify:
6+(−7 + 6i)(−4 + 2i)
22 - 38i
500
Solve the systems of quadratics by graphing:
y = -x2 - 2x + 8
2x - y = -3
(-5, -7) , (1,5)