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Worksheets

Complex Number

Total questions: 15

Worksheet time: 35mins

Name
Class
Date
1.

Where is the Cartesian form for point A ?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

2.

Where is point B located?

a)

2 + i

b)

-3

c)

-3i

d)

-1 - i

3.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

4.
Choose the correct answer for the operation pictured.
a)
7-13i
b)
7-i
c)
1-13i
d)
1-i
5.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1

6.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

7.

What is the value of the expression below?

(2 + 4i) + i(2 + i)

a)

4 + 5i

b)

2 + 7i

c)

7i

d)

-1 + 6i

8.

What is the imaginary part of 21-14i?

a)

14

b)

21

c)

-21

d)

-14

9.

What is the real part of 13.2i+1?

a)

13.2

b)

-1

c)

1

d)

-13.2

10.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
11.
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
12.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
13.

(-7+6i)2

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

14.
Simplify: 
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
15.

Rationalize and Simplify.

a)
b)
c)
d)