Algebra 2 - Trig

radical equations

100

(x-4)^1/2=6

What is x=40 ?

200

sqr root (x)=12

What is x=144 ?

300

sqr (x)-4=1

What is x=25 ?

400

sqr(x)+5=2

What is x=9 ?

500

sqr(x+4)=sqr(3x-6)

what is x=5 ?

Function operation and compositions

100

Let f(x)=5x and g(x)=x+3. 

f(x)+g(x)

What is 6x+3 ?

200

Let f(x)=5x and g(x)=x+3. 

f(x)-g(x)

What is 4x-3 ?

300

Let f(x)=5x and g(x)=x+3. 

f(x)*g(x)

What is 5x^2+15x ?

400

Let f(x)=5x and g(x)=x+3.

f(x)/g(x)

What is 5x/x+3 ?

500

f(x)=2x-4 and g(x)=x^2-1. 

f(g(2))

What is f(g(2)) = 5 ?

Arithmetic/Geometric Sequences

100

If an=a1+(n-1)d given a1=-3 and d=5, find a4

What is a4=12 ?

200

If a1=2 and an+1+3an+n,find the third term

what is a3=23 ?

300

Decide if the sequence is arithmetic =, geometric, or neither. 

2,8,32,128...

geometric

400

Decide if the sequence is arithmetic =, geometric, or neither. 

6,-30,150,-750...

Geometric

500

Decide if the sequence is arithmetic =, geometric, or neither. 

0,5,10,15,20,25,30...

Arithmetic

Inverse trig

100

sin30degrees =

What is 1/2 ?

200

tan45degrees =

What is 1 ?

300

sin315degrees =

What is sqr(-2)/2 ?

400

cos60degrees =

What is 1/2 ?

500

cos180degrees =

What is -1 ?

Rational functions

100

x²-16 / x-4

What is x+4 ?

200

6x-10 / 10

What is 3x-5 / 5 ?

300

10x² / 50x

What is x/5 ?

400

4-x / x² -16

What is -1 / x+4 ?

500

5/3x² +2/3x

What is 5+2x/3x²  ?