4.1 Complex Numbers

Multiple Choice

What is i equal to?

• -1

• √-1

• 1

• √-2

Multiple Choice

What does i² =  ?

• 1
• -1
• √-1
• √1

Fill in the Blanks

Simplify $\sqrt[]{-100}$

Multiple Choice

Which of the # classifications given in the answer choices does the number in the picture most fully fit?
Hint: Think about simplifying it first

• Real Number

• Rational Number

• Integer

• Pure Imaginary Number

Labeling

Label the REAL part __ and the IMAGINARY part __ of the complex number.

Drag labels to their correct position on the image

IMAGINARY part

REAL part

Multiple Choice

Choose the correct answer.

• 7-13i
• 7-i
• 1-13i
• 1-i

Fill in the Blanks

Simplify $\left(10+15i\right)+\left(48-30i\right)$  

Multiple Choice

• a

• b

• c

• d

Fill in the Blanks

$\left(3+8i\right)\left(-2-i\right)$  

Multiple Choice

What is the conjugate of  4-3i?

• 1/(4-3i)

• 1/(4+3i)

• -4 + 3i

• 4 + 3i

Multiple Choice

Simplify $$-\frac{2}{i}$$  

• $$i$$  

• $$-i$$  

• $$4i$$  

• $$2i$$  

Multiple Choice

Simplify.

Hint: Remember to multiply by
(5+2i)/(5+2i).

Factoring SUMS of Squares

Math Response

Factor 64x^2 + 25

Type answer here

Correct Answer: \left(8x+5i\right)\left(8x-5i\right)

Deg^°

Rad