Algebra 2--Imaginary/Complex Numbers

Simplifying i's and Radicals

100

i³

What is -i

200

i¹⁵

What is -i

300

sqrt(-12)

2i sqrt(3)

400

i⁶¹

What is i

500

5 sqrt(-68)

What is 10i sqrt(17)

Discriminant

100

How many solutions if the discriminant is a positive number?

What is 2 Real Solutions?

200

What is the formula for a discriminant?

b²-4ac

300

Find the discriminant. State the number of solutions.

-10v²+4v-3=0

2 imaginary solutions

400

What does a graph look like if there are 2 imaginary solutions?

Various Answers

*Doesn't cross the x axis*

500

Find the discriminant. State the number of solutions.

-6a²+9a+3=3

2 Real Solutions

Add/Subtract Complex Numbers

100

(2+3i) + (4+7i)

What is 6+10i

200

(5+6i) + (4-2i)

What is 9 + 4i

300

(6+5i)- (3+2i)

What is 3+3i

400

(2-7i) - (1-4i)

What is 1-3i

500

-2i - (-2-i)

2 - i

Multiplying/Division

100

(3+2i)(5-i)

What is 17+7i

200

-6/i

What is 6i

300

(2+3i)(4+7i)

What is -13+26i

400

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

What is (2+11i)/13

500

(6+2i)(6-2i)

What is 40

Quadratic Formula

100

What is the formula for the quadratic formula?

-b +- sqrt(b²-4ac)

        2a

200

Solve Using Quadratic Formula

0=-2x²-12x-17

x=-3+2i sqrt(2)

x=-3-2i sqrt(2)

300

Solve using the quadratic formula!

0=1/2 x²+2x-1

x=-2+sqrt(6)

x=-2-sqrt(6)

400

Solve using the quadratic formula!

3b²-8b-43=8

x=17/3

x=-3

500

Solve using the quadratic formula

5x²+6x-7=6x²+4

x=3+i sqrt(2)

x=3-i sqrt(2)