NEW
Font size
S
M
L
XL
WorksheetsComplex & Quadratics
Total questions: 15
Worksheet time: 38mins
Name
Class
Date
1.
Simplify the following:
(7-2i)(7+2i)
(7-2i)(7+2i)
a)
49
b)
49-4i-4i2
c)
53
d)
14-4i-4i2
2.
Simplify the following:
(3i+2)(6-3i)
(3i+2)(6-3i)
a)
21+12i
b)
12-21i
c)
18-6i
d)
15i+12
3.
Determine the complex conjugate of (-3-12i)
a)
-3-12i
b)
3-12i
c)
3+12i
d)
-3+12i
4.
Simplify the following:
(x+2-i)(x+2+i)
(x+2-i)(x+2+i)
a)
x2+4+2i
b)
x2-4x+5
c)
x2-4x-2xi+1
d)
None of the above
5.
Simplify the following:
(2x-8)2
(2x-8)2
a)
4x-16
b)
4x2-64
c)
2x2-16x+64
d)
4x2-32x+64
6.
Simplify to lowest terms.
a)
x=(-3±5)/4
b)
x=(3±8)/2
c)
it is already in lowest terms
d)
x=(-6±8)/8
7.
Simplify to lowest terms.
a)
x=1
b)
x=(3±7)/4
c)
x=10/-4
d)
x=(3±√43)/-4
8.
Simplify to lowest terms. (Remember that i=√(-1))
a)
x=(6±6i)/4
b)
x=(3±3i)/2
9.
What are the roots of the function f(x)=(x+2)(4x-2)?
a)
-2
b)
2
c)
2, 2/4
d)
-2, -1/2
10.
What are the roots of the function f(x)=-2x2-3x+5?
a)
3/2
b)
3/2, 5
c)
-5/2
d)
-5/2, 1
11.
Are the roots of the function f(x)=3x2+3x+3 real or imaginary? (hint: graph it)
a)
Real Roots
b)
Imaginary Roots
c)
Impossible to tell
d)
Both
12.
What is the vertex of the function f(x)= 4(x+0.75)2-6.25?
a)
(0.75, -6.25)
b)
(-0.75, -6.25)
13.
If a quadratic has a vertex at the point (1,1), and opens up, how many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
14.
How many real roots does the function f(x)=(2x-5)(-x-1) have?
a)
0
b)
1
c)
2
d)
3
15.
Determine the roots of the quadratic f(x)=3x2+3x+3.
a)
3, -3
b)
(-3±3i)/6
c)
(-3±i√27)/6
Reset
