Exponent Rules/Simplifying Radicals
Adding/Subtracting Complex Numbers
Multiplying Complex Numbers
Quadratics w/ Complex Solutions
100
Simplify the following expression: x2x6
x8
100
Add the following complex numbers. Make sure your answer is in a+bi form.
(2+3i) + (9+6i)
11+9i
100
Multiply the following complex numbers. Make sure your answer is in a+bi form.
6i(2-4i)
24+12i
100
If the discriminant of a quadratic equation is ________, then the equation will have two real solutions.
positive
200
Simplify the following expression:
2z7
200
Add the following complex numbers. Make sure your answer is in a+bi form.
(3+2i) + (-6+9i)
-3+11i
200
Multiply the following complex numbers. Make sure your answer is in a+bi form.
(4+2i)(6+4i)
16+28i
200
If the discriminant of a quadratic equation is ________, then its graph will have one x-intercept.
zero
300
Simplify the expression below
(x4x6)3
x30
300
Subtract the following complex numbers. Make sure your answer is in a+bi form.
(10+2i) - (6+4i)
4-2i
300
Multiply the following complex numbers. Make sure your answer is in a+bi form.
(3-2i)(9+i)
29-15i
300
True or False: the equation below has two real solutions.
x2-8x+9=0
True
400
Express in simplest radical form:
x2/5
5(root)x2
400
Subtract the following complex numbers. Make sure your answer is in a+bi form.
(10-4i) - (-6+2i)
16-6i
400
Multiply the following complex numbers. Make sure your answer is in a+bi form.
(9i)2
-81
400
A quadratic equation has coefficients a = 1, b = 6, and c = 13. Find the solutions of this equation.
-3+-2i
500
Simplify the following expression:
500
Simplify the following expression. Make sure your answer is in a+bi form.
(10-i) + (3-2i) - (-6+4i)
19-7i
500
Multiply the following complex numbers. Make sure your answer is in a+bi form.
(10+2i)(10-2i)
104
500
Solve the equation below for x:
(x-3)2=-25
x=3(+-)5i