Free Printable Complex Numbers 1

1.

a)

10

b)

-10

c)

10i

d)

-10i

2.

a)

5i

b)

-5i

c)

5+i

d)

-5

3.

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

4.

Simplify:
i⁷

a)

i

b)

-i

c)

1

d)

-1

5.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

6.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

7.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

8.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

9.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

10.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

11.

a)

A.

b)

B.

c)

C.

d)

D.

12.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

13.

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

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

14.

a)

10

b)

-10

c)

10i

d)

-10i

15.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

16.

Simplify
√-25

a)

-5i

b)

5

c)

5i

d)

-5

17.

Simplify:
3√-81

a)

-27

b)

3i√3

c)

27i

d)

9i

18.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

19.

Simplify -4√-63

a)

3i√7

b)

-12i√7

c)

-12√7

d)

36√7

20.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

21.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

22.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

23.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

24.

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

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

25.

Multiply:
(4 – 3i)(7 + 2i)

a)

A. 22 - 13i

b)

B. 28 - 19i

c)

C. 34 - 13i

d)

D. -34 - 29i

26.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

27.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

28.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

29.

i⁵²

a)

i

b)

-i

c)

1

d)

-1

30.

i⁶⁶

a)

1

b)

i

c)

-1

d)

-i

31.

i⁷

a)

i

b)

-i

c)

1

d)

-1

32.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

33.

What complex number is shown on the graph?

a)

(-2,-3)

b)

-2-3i

c)

2-3i

d)

3i-2

34.

Match the expression to the graph shown in the complex plane.

a)

-2i-3i

b)

(0,-5)

c)

-6i

d)

-2(3i)

35.

Determine the modulus of : $\left|3-2i\right|$

a)

$\sqrt{-13}$

b)

$\sqrt{-1}$

c)

$\sqrt{13}$

d)

$5$

36.

What Quadrant is -5-6i in?

a)

First

b)

Second

c)

Third

d)

Fourth

37.

Find modulus of z:

$z=1+3i$

a)

$\sqrt{10}$

b)

$9-i$

c)

$\sqrt{7}$

d)

$4$

38.

The modulus of z = -1 + i is...

a)

0

b)

1

c)

√2

d)

2

39.

(i)(3i)

a)

-3i

b)

-3

c)

3

d)

2i

40.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

41.

If you are adding two complex numbers you should

a)

add all the numbers together then divide by 2

b)

add only the real numbers and subtract the complex numbers

c)

add only the complex numbers and subtract the real numbers

d)

add only the real numbers together and then add only the complex numbers together then stop

42.

The complex conjugate can be found by...

a)

Changing the sign of both a and b

b)

Changing the sign of a

c)

Changing the sign of b

d)

Switching the a and b values

43.

The complex conjugate of 4 + 3i is

a)

3 + 4i

b)

3 - 4i

c)

4 - 3i

d)

4 + 3i

44.

What is the conjugate of -8i?

a)

-8i

b)

8i

c)

8

d)

-8

45.

Solve for x

3x² - 6 = -9

a)

±1

b)

±i

c)

±3

d)

±3i

46.

Solve for x:

a)

x = {-4, -1}

b)

x = {-1, -4}

c)

x = {2+i, 2-i}

d)

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

Complex Numbers 1

Total questions: 46

Worksheet time: 1hrs 28mins

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