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Worksheets

Adding, Subtracting, Multiplying Complex Numbers

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Another way to express √-1 is?

a)

1

b)

-1

c)

i

d)

0

2.

The complex conjugate of 4 + 3i is

a)

3 + 4i

b)

3 - 4i

c)

4 - 3i

d)

4 + 3i

3.

The complex conjugate can be found by...

a)

Changing the sign of both a and b

b)

Changing the sign of a

c)

Changing the sign of b

d)

Switching the a and b values

4.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i2

d)

-35 -16i

5.
a)
A
b)
B
c)
C
d)
D
6.
a)

A

b)

B

c)

C

d)

D

7.
a)
A
b)
B
c)
C
d)
D
8.
a)

A

b)

B

c)

C

d)

D

9.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

10.
a)
A
b)
B
c)
C
d)
D
11.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i2

d)

-35 -16i

12.

(1-3i)(2+5i)

a)

22-i

b)

16-i

c)

17-i

13.

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

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

14.

Simplify: 
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

15.

3i + 2i

a)

5i

b)

5i2

c)

6i

d)

-5

16.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

17.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

18.

Simplify

(12 - 4i) + (-2 + 8i)

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

19.

(5-i)(5-i)

a)

15-8i

b)

36

c)

24+10i

d)

24-10i

20.

(-7 + 9i) + (2 - 10i)

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i