Quiz about Applying Properties of Operations on Complex Numbers to Solve Problems

Question 1

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

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 2

Multiply
3i(-2 + 4i)

Accepted Answer

-12-6i

Answer

-6+12i

Answer

-2+7i

Answer

12+6i

Question 3

The product of (3 -2i) and (7+6i) is

Accepted Answer

33 + 4i

Answer

21 - 12i

Answer

9 + 4i

Answer

21 + 16i

Question 4

-i(4-9i)

Accepted Answer

-9 - 4i

Answer

-13i

Answer

13i

Answer

9 - 4i

Question 5

(10-6i) - (2+3i)

Accepted Answer

8 - 9i

Answer

12 + 3i

Answer

8 - 3i

Answer

-9i + 8

Question 6

(7 - 5i)(7 + 5i)

Accepted Answer

74

Answer

24

Answer

49 - 25i

Answer

49 + 25i

Question 7

Simplify
3i - (4 + 7i)

Accepted Answer

-4 - 4i

Answer

-4 + 10i

Answer

21 - 12i

Answer

4 - 10i

Question 8

What is the value of the expression below?

(2 + 4i) + i(2 + i)

Accepted Answer

1 + 6i

Answer

3 + 6i

Answer

2 + 7i

Answer

7i

Question 9

Choose the correct answer for the operation pictured.

Accepted Answer

7 - 13i

Answer

7 - i

Answer

1 - 13i

Answer

1 - i

Question 10

The expression (2 + 3i)² is equal to

Accepted Answer

-5 + 12i

Answer

-5

Answer

13

Answer

13 + 12i

Question 11

Simplify 3i + 2i

Accepted Answer

5i

Answer

5i2

Answer

6i

Answer

-5

Question 12

Simplify -6i+3i

Accepted Answer

-3i

Answer

3i

Answer

-2i

Answer

-3i2

Question 13

Express the product of 1-2i and 2+3i in a+bi form.

Accepted Answer

8-i

Answer

3+i

Answer

2-6i

Answer

2+6i

Question 14

Simplify i⁵⁴

Accepted Answer

-1

Answer

1

Answer

i

Answer

-i

Question 15

Simplify i²³

Accepted Answer

-i

Answer

i

Answer

-1

Answer

1

Question 16

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

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 17

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

Accepted Answer

8

Answer

20

Answer

27

Answer

12

Question 18

Express the product of 3i and -2+4i in a+bi form.

Accepted Answer

-12-6i

Answer

-6+12i

Answer

-2+7i

Answer

12+6i

Question 19

What is the complex conjugate of 4 - 3i?

Accepted Answer

4 + 3i

Answer

-4 - 3i

Answer

-4 + 3i

Answer

4 - 3i

Question 20

Which of the following expressions simplify to i ?

Select ALL that apply!

Accepted Answer

i5

Accepted Answer

2i - i9

Answer

-3i + 4i⁷

Answer

(7 + 5i) - (-6 + 4i)

Question 21

True or False?

The complex conjugate of 2+3i is 2-3i.

Accepted Answer

True

Answer

False

Question 22

Multiple Select:

Which numbers are complex numbers? Select ALL that apply!

Accepted Answer

4i

Accepted Answer

-3+2i

Accepted Answer

1-4i

Accepted Answer

3

Question 23

Question 23.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 24

Simplify

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 25

Question 25.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 26

Simplify

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 27

Simplify

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 28

Simplify

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 29

Simplify

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 30

Simplify

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Applying Properties of Operations on Complex Numbers to Solve Problems

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