Free Printable Complex Number Mixed Review

1.

Simplify the complex number: $(3 + 4i) + (2 - 5i)$ .

a)

$5 - i$

b)

$1 + 9i$

c)

$5 - 9i$

d)

$5 - i$

2.

Simplify the complex number: $(6 - 3i) - (4 + 2i)$ .

a)

$2 - 5i$

b)

$10 - 5i$

c)

$2 + 5i$

d)

$10 + 5i$

3.

Simplify the complex number: $(5 + 6i) - (3 + 2i)$ .

a)

$2 + 4i$

b)

$8 + 4i$

c)

$2 - 4i$

d)

$8 - 4i$

4.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

5.

a)

A

b)

B

c)

C

d)

D

6.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

7.

a)

-12i

b)

12i

c)

-12

d)

12

8.

a)

9

b)

9i

c)

-9

d)

-9i

9.

a)

A

b)

B

c)

C

d)

D

10.

Simplify:

$\sqrt{-36}-\sqrt{-4}+\sqrt{-81}$

(a)

11.

If z=√2+√2 i then arg(z²)=

a)

0^o

b)

60^o

c)

90^o

d)

Not Possible

12.

Lisa wants to buy two new dresses from the mall. If one dress costs (59 - 6i) and the other costs (34 + 17i), how much money will she need to bring to the mall?

a)

82 dollars

b)

93 + 11i dollars

c)

93 - 23i dollars

d)

25 - 23i dollars

13.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

14.

Given $i$ is the imaginary unit, $\left(2-yi\right)^2$ in simplest form is

a)

$y^2-4yi+4$

b)

$-y^2-4yi+4$

c)

$-y^2+4$

d)

$y^2+4$

15.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

16.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

17.

a)

A.

b)

B.

c)

C.

d)

D.

18.

What letter usually represent imaginary number?

a)

a

b)

i

c)

j

d)

x

19.

i¹³

a)

-1

b)

1

c)

i

d)

-i

20.

i⁷

a)

i

b)

-i

c)

1

d)

-1

Complex Number Mixed Review

Total questions: 20

Worksheet time: 20mins

Similar Resources on Wayground