Free Printable Complex Numbers Quiz

1.

$i^{37}$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

2.

Solve for x:

a)

x = {-3+2i, -3-2i}

b)

x = {7, 6}

c)

x = 2±i√3

d)

No solution

3.

Solve for x:

a)

x = {-4, -1}

b)

x = {-1, -4}

c)

x = {2+i, 2-i}

d)

x = {-2+i, -2-i}

4.

Solve by taking square roots:

2b² - 4 = -166

a)

b = 9i, b = -9i

b)

b = 3, b = -3

c)

b = 9, b = -9

d)

b = 3i, b = -3i

5.

x² + 36 = 0

a)

x = ±6

b)

x = 6i

c)

x = -6

d)

x = ±6i

6.

a)

$\frac{-3-27i}{82}$

b)

$\frac{9+2i}{85}$

c)

$\frac{9-i}{82}$

d)

$\frac{-2-18i}{41}$

7.

$Find\ the\ product:\ \left(10i\right)\left(5i\right)$

a)

50

b)

5

c)

-50

d)

15

8.

$Divide:\ \frac{5+2i}{3-4i}$

a)

$\frac{7+28i}{25}$

b)

$\frac{5+26i}{7}$

c)

$\frac{15+6i}{25}$

d)

$\frac{7+26i}{25}$

9.

$Find\ the\ difference:\ \left(6+8i\right)-\left(4-5i\right)$

a)

$2+3i$

b)

$2+13i$

c)

$10+3i$

d)

$10+6i$

10.

What is the complex conjugate of $4-6i$ ?

a)

-4 - 6i

b)

-4 + 6i

c)

4 + 6i

d)

4 - 6i

11.

$Find\ the\ sum:\ \left(5-4i\right)+\left(3+6i\right)$

a)

$7+2i$

b)

$8+3i$

c)

$2-10i$

d)

$8+2i$

12.

Solve x² = -4x - 7?

a)

A.

b)

B.

c)

C.

d)

D.

13.

i⁸⁶ =

a)

a.) i

b)

b.) -i

c)

c.) -1

d)

d.) 1

14.

i¹³ =

a)

-1

b)

1

c)

i

d)

-i

15.

Evaluate (9 + 3i)(9 - 3i):

a)

81 - 9i

b)

90

c)

81 + 27i - 9i²

d)

81i - 9

16.

The expression (2 + 3i)² is equal to:

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

17.

Simplify: (10 + 3i) - (2 - 9i)

a)

20 - 27i

b)

12 - 7i

c)

8 + 12i

d)

20 - 27i²

18.

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

a)

-2 + 6i

b)

12 + 6i

c)

-35 - 16i²

d)

-35 - 16i

19.

What is the value of √-36?

a)

6

b)

-6

c)

-6i

d)

6i

20.

What is this equal to?

a)

10

b)

-10

c)

10i

d)

-10i

Complex Numbers Quiz

Total questions: 20

Worksheet time: 58mins

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