Algebra 2H - Unit 2 Complex Numbers

Adding and Subtracting Complex Numbers

100

This is the simplified expression of 

4(3+8i)+(7+12i)

What is 

19+36i?

200

This is the simplified expression of 

6(1+9i^3)-(10-16i^9)

What is 

-4-38i?

300

This is the simplified expression of 

2/3(30-18i^27)+4/5(100-65i^11)

What is 

100+64i?

400

This is the simplified expression of 

-6/11(33-121i^55)-9/2(-20+44i^35)

What is 

72+132i?

500

This is the simplified expression of 

5/4(28+13i^101)-13/6(-72-5i^123)

What is 

191+65/12i?

Solving Quadratics with Complex Roots

100

These are the simplified solutions to the quadratic equation 

(x-4)^2+81=0

What is 

x=4+-3i?

200

These are the simplified solutions to the quadratic equation 

-3(x+7)^2-363=0

What is 

x=-7+-11i?

300

These are the simplified solutions to the quadratic equation 

x^2-6x+33=0

What is 

x=3+-2\sqrt6i or x=3+-2i\sqrt6?

400

These are the simplified solutions to the quadratic equation 

4x^2+20x+110=2x^2-9

What is 

x=(-10+-\sqrt138i)/2 or x=(-10+-i\sqrt138)/2?

500

These are the simplified solutions to the quadratic equation 

-3/4x^2+10x-100=1/2x^2+5x+425

What is 

x=2+-4\sqrt26i or x=2+-4i\sqrt26?

Random Trivia

100

This Harvard dropout created Facebook in 2004.

Who is Mark Zuckerberg?

200

This term refers to making two strokes below par in golf.

What is an eagle?

300

This geometric-puzzle video game originated in Russia and is one of the most popular games in the world.

What is Tetris?

400

The basketball team won the very first game of the NBA League.

Who are the New York Knicks?

500

The music video for this Billie Eilish song took roughly eight months to make.

What is "You Should See Me in a Crown"?

Determining Number of Roots for Quadratics

100

This is the number of real roots to the quadratic function 

f(x)=x^2+8x+5

What is Two Real Roots or No Complex Roots?

200

This is the number of real roots to the quadratic function 

f(x)=16x^2-40x+25

What is One Real Root or No Complex Roots?

300

This is the number of real roots to the quadratic function 

f(x)-9=4x^2+7x+3

What is No Real Roots or Two Complex Roots?

400

This is the number of real roots to the quadratic function 

3f(x)+7x=12x^2+19x+3

What is One Real Root or No Complex Roots?

500

This is the number of real roots to the quadratic function 

-7/6f(x)-4x^2=3x^2-84x+56

What is Two Real Roots or No Complex Roots?

Multiplying and Dividing Complex Numbers

100

This is the simplified expression of 

(5+6i)(9+3i)

What is 

27+69i?

200

This is the simplified expression of 

(2-5i^12)(17+20i^7)

What is 

-51+60i?

300

This is the simplified expression of 

(1+5i^42)/(2+6i)

What is 

(-1+3i)/5?

400

This is the simplified expression of 

(4+5i^71)/(7-3i^51)

What is 

(13-47i)/58?

500

This is the simplified expression of 

(11+12i^131)/(2-9i^119)

What is 

(-86-123i)/85?