Algebra 2

Complex Numbers

100

simplify: 

(1-2i) - (-5+8i)

6 - 10i

200

Simplify: 

(2+8i) + (6-4i)

8 + 4i

300

Simplify:

 (-5+8i) - (8+2i)

-13 +6i

400

Simplify: 

(-2+3i)²

-5 -12i

500

Simplify:

 (4+7i)²

-33+56i

FOIL

100

(x + 1) (x + 2)

x² + 3x + 2

200

(x - 4) (x + 3)

x² - x - 12

300

(2x + 1) (3x + 4)

6x² + 11x + 4

400

(4x - 3) (2x + 3)

8x² + 6x - 9

500

(3x - 5) (3x - 4)

9x² - 27x + 20

Solve for X

100

Solve for x: x + 2 = 10

x = 8

200

Solve for x: 3x - 2 = 10

x = 4

300

Solve for x:

 2x + 3 = x - 6

x = -9

400

Solve for x:

 3x + 6 = x + 10

x = 2

500

 Solve for x: x² - 5 = 20

x= 5, x= -5

Exponential Functions

100

Solve: 2^{-x -3}= 2²

x =-5

200

Solve: 5^-3k=5⁴

k =-4/3

300

Solve: 25^-3k-1=5³³

k =-5/6

400

Solve: 81^v-1=9^2-3v

v =4/5

500

Solve: 6³ⁿ⁺¹= 1/36

n =-1

Long Division

100

Divide:

 (8x³-4x²-7x+3) / (x-1)

8x²+4x-3

200

Divide: 

(-3x³+25x²-30x+14) / (x-7)

-3x²+4x-2

300

Divide:

 (x³+8x²+21x+18) / (x+2)

x²+6x+9

400

Divide:

 (x³-9x²+21x+18) / (x-3)

x²-6x+8

500

Divide: (x³-5x-4) / (x+1)

x²-x-4