Free Printable Complex Numbers

1.

Simplify.

$\sqrt{-45}$

a)

3i $\sqrt{5}$

b)

i $\sqrt{45}$

c)

3 $\sqrt{5}$

d)

can not be simplified

2.

Simplify.

$\sqrt{-72}$

a)

i $\sqrt{72}$

b)

6 $\sqrt{2}$

c)

6i $\sqrt{2}$

d)

can not be simplified

3.

$x^2\ +\ 100\ =\ 0$

a)

10

b)

$\pm\ 10$

c)

10i

d)

100i

4.

Simplify the expression:
$\left(1\ +\ 5i\right)\ +\ \left(1\ -\ 5i\right)$

a)

$2\ +\ 10i$

b)

$2\ +\ 10i^2$

c)

$2$

d)

$-8$

5.

Simplify the expression:
$\left(8\ +\ 9i\right)\ +\ \left(4\ -\ 6i\right)$

a)

$17\ +\ 3i$

b)

$12\ +\ 3i^2$

c)

$17\ -2i$

d)

$12\ +\ 3i$

6.

Simplify the expression:
$\left(5\ +\ 14i\right)\ -\ \left(10\ +\ 2i\right)$

a)

$5\ -16i$

b)

$-5\ +\ 16i$

c)

$5\ -\ 12i$

d)

$-5\ +\ 12i$

7.

Simplify the expression:
$\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)$

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

8.

$2\left(3\ +\ 4i\right)-\left(4\ -\ 6i\right)$

a)

$2\ +\ 14i$

b)

$10\ +\ 2i$

c)

$-1\ -2i$

d)

$-2\ -2i$

9.

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

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

10.

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

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

11.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

12.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

13.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

14.

i⁷

a)

i

b)

-i

c)

1

d)

-1

15.

i⁵²

a)

i

b)

-i

c)

1

d)

-1

16.

Perform the indicated operations and write the answer in complex form.

$\left(4+9i\right)^2$

a)

$97+72i$

b)

$-65+72i$

c)

$16+72i+81i^2$

d)

$-65$

17.

What is the conjugate of 2 - 7i ?

a)

7 + 2i

b)

2 + 7i

c)

-2 - 7i

d)

-2 + 7i

18.

Solve the above complex number in the form of a+bi

a)

$\frac{4}{5}+\frac{7}{5}i$

b)

$-\frac{4}{5}-\frac{7}{5}i$

c)

$\frac{4}{5}-\frac{7}{5}i$

d)

$-\frac{7}{5}-\frac{4}{5}i$

19.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

20.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

Complex Numbers

Total questions: 20

Worksheet time: 38mins

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