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Worksheets

Complex Numbers

Total questions: 15

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

2.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

3.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1

4.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
5.

(3 + 8i)(-2 - i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

6.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

7.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
8.

Simplify.

a)
b)
c)
d)
9.
a)
A
b)
B
c)
C
d)
D
10.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
11.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
12.
a)
A
b)
B
c)
C
d)
D
13.

Simplify using the imaginary number  ii  
 −20\sqrt{-20}  

a)

 10i10i  

b)

 −10i-10i  

c)

 2i52i\sqrt{5}  

d)

 −i20-i\sqrt{20}  

14.

Find the solutions to the equation:

2x2 +23 = 5

a)

x=3ix=3i

b)

x=±3ix=\pm3i

c)

x=3x=3

d)

x=±3x=\pm3

15.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i