Free Printable Complex Numbers

1.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

2.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

3.

What is the "real part" of this complex number:

8\ +\ 2i

a)

8

b)

2i

4.

What is the "imaginary part" of this complex number:

8\ +\ 2i

a)

8

b)

2i

5.

What is the "imaginary part" of this complex number:

–14–5i

a)

-14

b)

-5i

c)

14

d)

5i

6.

What is the "real part" of this complex number:

–14\ –\ 5i

a)

-14

b)

-5i

c)

14

d)

5i

7.

What is the "real part" of the complex number:
$-2+7i$

a)

2

b)

-2

c)

7i

d)

-7i

8.

What is the "imaginary part" of the complex number:
$-2\ +\ 7i$

a)

2

b)

-2

c)

7i

d)

-7i

9.

Where is point B located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

10.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

11.

Where is point A located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

12.

Write the complex number shown in the graph.

4 lines

13.

Write the complex number shown in the graph.

4 lines

14.

Write the complex number shown in the graph.

4 lines

15.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

16.

a)

10

b)

-10

c)

10i

d)

-10i

17.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

18.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

19.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

20.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

21.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

22.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

23.

3i+5i+2i+10

a)

10

b)

10i+10

c)

10i

d)

100i

24.

$i=\sqrt[]{-1}$

a)

True

b)

False

25.

Simplify $\sqrt[]{-23}$

a)

-√23

b)

23i

c)

23

d)

i√23

26.

$\sqrt[]{-1}=$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

27.

$\left(\sqrt[]{-1}\right)^2$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

28.

Simplify

$\sqrt[]{-25}$

a)

5

b)

-5

c)

5i

d)

-5i

29.

Simplify

$\sqrt[]{-24}$

a)

12i

b)

$4i\ \sqrt[]{6}$

c)

$-2i\ \sqrt[]{6}$

d)

$2i\ \sqrt[]{6}$

30.

Simplify

$\sqrt[]{-5}\cdot\sqrt[]{10}$

a)

$5i\ \sqrt[]{2}$

b)

$2i\sqrt[]{5}$

c)

$\sqrt[]{50}$

d)

$25i\sqrt[]{2}$

31.

Simplify

$i\ \sqrt[]{-49}$

a)

$7$

b)

$-7i$

c)

$-7$

d)

$7i$

32.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

33.

Rewrite the complex number $8i$ using a radical.

a)

$-\ \sqrt[]{64}$

b)

$\sqrt[]{-64}$

c)

$\sqrt[]{-8}$

d)

$\sqrt[]{8}$

34.

$2\ \sqrt[]{-108}$

a)

$12i\ \ \sqrt[]{3}$

b)

$6i\ \sqrt[]{3}$

c)

$26i\ \sqrt[]{3}$

d)

$2\ \sqrt[]{36}\ \cdot\ \sqrt[]{3}$

35.

Solve for x: $x^2\ +\ 100\ =\ 0$

a)

10

b)

$\pm\ 10$

c)

$\pm10i$

d)

100i

36.

Solve: $2x^2\ +\ 27\ =\ -13$

a)

-20

b)

$\pm2i\ \sqrt[]{5}$

c)

$\pm i\ \sqrt[]{20}$

d)

$\pm2i\ \sqrt[]{10}$

37.

Simplify: $\left(3i\right)\left(4i\right)$

a)

12i

b)

-7

c)

-12

d)

12

38.

Simplify: $\left(7i\right)^2$

a)

49

b)

-49

c)

-7

d)

14

39.

Simplify: $\sqrt[]{-6}\cdot\sqrt[]{-8}$

a)

$4i\ \sqrt[]{3}$

b)

$4\ \sqrt[]{3}$

c)

-48

d)

$-4\ \sqrt[]{3}$

40.

(i)(3i)

a)

-3i

b)

-3

c)

3

d)

2i

41.

Simplify:
3√-81

a)

-27

b)

3i√3

c)

27i

d)

9i

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

a

b)

b

c)

c

d)

d

45.

a)

a

b)

b

c)

c

d)

d

46.

a)

a

b)

b

c)

c

d)

d

47.

a)

a

b)

b

c)

c

d)

d

48.

a)

a

b)

b

c)

c

d)

d

49.

a)

a

b)

b

c)

c

d)

d

50.

a)

a

b)

b

c)

c

d)

d

51.

a)

a

b)

b

c)

c

d)

d

52.

a)

a

b)

b

c)

c

d)

d

53.

a)

a

b)

b

c)

c

d)

d

54.

a)

a

b)

b

c)

c

d)

d

55.

True or False.

i\ =-1

a)

true

b)

false

Complex Numbers

Total questions: 55

Worksheet time: 55mins

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