Free Printable Operations on 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 simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

3.

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

a)

-18

b)

-18i

c)

18

d)

-18i²

4.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

5.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

6.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

7.

3i(4 - i)

a)

9i

b)

-3 +12i

c)

12 - 3i

d)

3 + 12i

8.

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

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i²

9.

Simplify i³⁷

a)

1

b)

i

c)

-i

d)

-1

10.

Simplify i²⁴

a)

i

b)

1

c)

-1

d)

-i

11.

Simplify i⁴³

a)

1

b)

i

c)

-i

d)

-1

12.

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

13.

What letter usually represent imaginary number?

a)

a

b)

i

c)

j

d)

x

14.

Calculate(Divide, multiply by conjugate):

a)

12/5 − 4/5i

b)

-8/10i − 4/5

c)

-4/5 + 12/5i

d)

12/5 + 4/5i

15.

Calculate(Divide, multiply by conjugate):

a)

-3/4 − 1/4i

b)

3/4 + 1/4i

c)

-3/4 + 1/4i

d)

3/4 − 1/4i

16.

Simplify -√-48

a)

4i√3

b)

-4i√3

c)

i√48

d)

-48i

17.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

18.

Simplify √-45

a)

3i√5

b)

-3i√5

c)

-i√45

d)

45i

19.

What is i¹²⁹?

a)

-i

b)

i

c)

1

d)

-1

20.

$If\ z_1=2+5i\ and\ z_2=3-21,\ what\ is\ z_1\times z_2\$ as a single complex number.

a)

$-4+11i$

b)

$6-10i$

c)

$16-19i$

d)

$16+11i$

21.

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

22.

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

23.

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

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.

You can simplify powers of i by... (Choose all correct answers)

a)

dividing the exponent by 4 then use the remainder to determine the value

b)

multiplying the exponent by 3 and then subtracting 2

c)

using the clock diagram and counting off the power until you get to the power in the problem

d)

taking the square root

26.

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

27.

All imaginary numbers are like terms.

a)

true

b)

false

28.

When we simplify divisions of complex numbers we mutliply both the numerator and the denominator by the denominator.

a)

true

b)

false

29.

What is the standard form for a complex number?

a)

-8i

b)

a + bi

c)

bi + a

d)

-8i + 8

30.

Quadratic equations with a linear and a quadratic variable are more easily solved using square roots.

a)

true

b)

false

Operations on COmplex Numbers

Total questions: 30

Worksheet time: 1hrs 10mins

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