Complex Numbers

Vocabulary

100

Complex Numbers

What is the numbers that are expressed in the form of a + ib

200

Absolute Value

What is the magnitude of a real number without regard to the sign 

300

Quadratic Equations

what is any equation containing one term in which the unknown is squared

400

Imaginary Unit

What is the positive square root of minus 1 denoted by I or +√-1

500

Algebra

What is the part of math in which letters and other general symbols are used to represent numbers and other quantities

Addition

100

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

What is 12+10i

200

(3+7i) + (8+11i)

What is 11+18i

300

(19-i)+(4+15i)

What is 23+14i

400

(-1+2i)+(3+3i)

What is -1-2i

500

(4+2i)+(6+3i)

What is 10+5i

Solutions

100

x²+9x+1=0

What is -9/2 ±√77/2

200

x²+6x+3=0

What is -3±√6

300

x²+8x+2=0

What is -4±√14

400

x²+4x+5=0

What is -2 ± i

500

x²+2x+7=0

-1±√6i

Multiplication

100

(3-2i)(4+5i)

What is 22+7i

200

(5-2i)(5+2i)

What is 29

300

(1+3i)(2+i)

What is -1+7i

400

4i(8+2i)

What is 32i-8

500

(2+5i)(4-3i)

What is 23+14i

Simplify i

100

i⁴⁴

1

200

i³⁷

i

300

i²¹

i

400

i⁶⁷

-i

500

i⁵⁴

-1