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WorksheetsComplex Numbers
Total questions: 18
Worksheet time: 37mins
Name
Class
Date
1.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
2.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
3.
3i + 2i
a)
5i
b)
5i2
c)
6i
d)
-5
4.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
5.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
6.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
7.
(3 + 2i) + (4 - 5i)
a)
7 + 7i
b)
1 - 3i
c)
1 - 7i
d)
7 - 3i
8.
What does i2 equal?
a)
-1
b)
√-1
c)
1
d)
-√1
9.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
10.
What letter represents an imaginary number?
a)
a
b)
i
c)
j
d)
x
11.
Simplify.
a)
b)
c)
d)
12.
Multiply
(3i)(-2+4i)
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
13.
Multiply:
(4 – 3i)(7 + 2i)
(4 – 3i)(7 + 2i)
a)
A. 22 - 13i
b)
B. 28 - 19i
c)
C. 34 - 13i
d)
D. -34 - 29i
14.
(4-5i)(4+5i)
a)
41
b)
-9
c)
41+40i
d)
-9+40i
15.
How do you write a complex number?
a)
a-bi
b)
a+bi
c)
ai+b
d)
ai-b
16.
What is i?
a)
1
b)
-1
c)
√-1
d)
√1
17.
A complex number can be expressed as a + bi. What does a represent?
a)
the real part of the complex number
b)
the imaginary part of the complex number
c)
depends on the sign of the number
d)
the square root of the complex number
18.
Simplify
−23
a)
-√23
b)
23i
c)
23
d)
i√23
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