Free Printable Operations of Complex Numbers

1.

What is the simplified form of (-9 + 5i) + (3 -2i)

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

2.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

3.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

4.

Simplify (11 + 5i)(11 - 5i)

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i²

5.

3i(4 - i)

a)

9i

b)

-3 +12i

c)

12 - 3i

d)

3 + 12i

6.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

7.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

8.

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

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

9.

(21+2i)+(13+8i)

a)

-34+10i

b)

34+10i

c)

34+10

d)

8-6i

10.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

11.

What is the "real part" of the complex number (-2+7i)?

a)

2

b)

-2

c)

7i

d)

-7i

12.

What is the "imaginary part" of the complex number (-2+7i)?

a)

2

b)

-2

c)

7i

d)

-7i

13.

a)

5i

b)

-5i

c)

5+i

d)

-5

14.

Simplify.

a)

b)

c)

d)

15.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

16.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

17.

Simplify (4 + 2i) - (5 - 7i) + (-6 +9i)

a)

-7 + 0i

b)

-7 +18i

c)

-7 + 4i

d)

-5 + 18i

18.

Given the two sets of complex numbers, what is the sum? 5-2i and -7+8i

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

19.

Subtract 2-9i from 10+3i When the answer is in a+bi form, what is the value of a?

a)

20

b)

27

c)

8

d)

12

20.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

21.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

22.

What is the conjugate of -7 + 3i?

a)

-7 - 3i

b)

-7 + 3i

c)

7 -3i

d)

7 + 3i

23.

Leon is asked to simplify √-120. A good first step would be to...

a)

divide 120 by 2

b)

replace the negative with an i on the outside of the radical

c)

take the square root of -120

d)

graph y = √-120

24.

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

25.

Like terms have ________.

a)

only the same variable

b)

the same power but different variables

c)

the same variable but different powers

d)

the same variable at the same power

26.

All imaginary numbers are like terms.

a)

true

b)

false

27.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

28.

Simplify the following expression:

a)

b)

c)

d)

29.

i² equals...

a)

1

b)

-1

c)

-i

d)

0

30.

Multiply the complex conjugates (4 - 3i)(4 + 3i)=

a)

7

b)

14

c)

25

d)

2

31.

What is the conjugate you would multiply by?

a)

5+2i

b)

5-2i

c)

-5-2i

d)

-5+2i

32.

Simplify. Write your answer in the form $a+bi$ .

3i\left(-1+5i\right)

a)

$-3i+15i^2$

b)

$-1+8i$

c)

$12i$

d)

$-15-3i$

Operations of Complex Numbers

Total questions: 32

Worksheet time: 49mins

Similar Resources on Wayground