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WorksheetsComplex Numbers
Total questions: 20
Worksheet time: 20mins
Name
Class
Date
1.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
2.
Simplify
√-25
√-25
a)
-5i
b)
5
c)
5i
d)
-5
3.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
4.
Simplify
3i - (4 + 7i)
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
5.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
6.
Multiply
(2i)(3i)
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
7.
Multiply
(3i)(-2+4i)
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
8.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
9.
How do you write a complex number?
a)
a-bi
b)
a+bi
c)
ai+b
d)
ai-b
10.
What is the simplified form of (8 -3i)2?
a)
73
b)
16 - 6i
c)
55 + 48i
d)
55 - 48i
11.
What is the simplified form of (-6i)(3i)
a)
-18
b)
-18i
c)
18
d)
-18i2
12.
a)
10
b)
-10
c)
10i
d)
-10i
13.
(4 - 2i) - (3 + 6i)
a)
7 - 4i
b)
1 + 4i
c)
1 - 8i
d)
7 - 8i
14.
What letter represents an imaginary number?
a)
a
b)
i
c)
j
d)
x
15.
3i + 2i
a)
5i
b)
5i2
c)
6i
d)
-5
16.
3i+5i+2i+10
a)
10
b)
10i+10
c)
10i
d)
100i
17.
i=−1
a)
True
b)
False
18.
a)
5i
b)
-5i
c)
5+i
d)
-5
19.
What is the complex conjugate of 4-3i?
a)
A. 1/(4-3i)
b)
B. 1/(4+3i)
c)
C. -4 + 3i
d)
D. 4 + 3i
20.
Simplify
(-6 - 2i)2
(-6 - 2i)2
a)
32
b)
36-4i
c)
36+24i
d)
32+24i
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