Complex Numbers Jeopardy!

Operations

100

 Simplify: (3 + 2i) + (4 - 5i)

 

7 - 3i

200

 Simplify: (6 - 3i) - (2 + 7i)

4 - 10i

300

Simplify: (2 + 3i)(4 - i)

11 + 10i

400

 Simplify: (5 + 2i)(5 - 2i)

29

500

Simplify: ((2 + i)(3 - 2i)) / (1 + i)

0.5 - 2.5i

Conjugates & Simplify

100

 Find the conjugate of 3 - 4i

3 + 4i

200

 Simplify: 1 / (2 - i)

(2 + i) / 5

300

Simplify:  (4 + i) / (3 - 2i)

(10 + 11i) / 13

400

 Simplify: (5 - 3i) / (1 + 2i)

(-1 - 13i) / 5

500

 Simplify: ((2 + i)^2) / (1 - i)

1 + 4i

Powers of i

100

 What is i^2?

-1

200

 What is i^3?

-i

300

What is i^4?

1

400

 Simplify: i^11

-i

500

Simplify: i^53

i