Simplify
solve
solve some more
Apothecary
graphs
100

3sqrt8+2sqrt18-4sqrt2

8sqrt2

100

x^2-8x-2=0

4+-3sqrt2

100

abs(-2x+1)=abs(-3x+1)

0, 2/5 
100
Write the equation in standard form

(10, 3) and (5, 6)

3x+5y=45
100
Find the vertex of 

f(x)=-3x^2+6x-5

(1, -2)
200

125^(-2/3)

1/25

200

x^(2/3)-x^(1/3)-6=0

-8, 27
200

3^(2x+1)=6

(ln6-ln3)/(2ln3)

200
Find the domain

f(x)=sqrt(4-3x)

x<=4/3

200
Make the table for 

f(x)=2^x

(-2, 4)

(-1, 1/2)

(0, 1)

(1, 2)

(2, 4)

300

sqrt(75x^6y^9

5x^3y^4sqrt(3y)

300

sqrt(2x-1)+2=x

5
300

log(x)+log(x-1)=log(8x-12)-log(2)

2, 3
300
Find the domain

f(x)=x/(6x^2+13x-5)

all real numbers except -5/2 and 1/3
300

x^2+y^2+6x-4y+9=0

Find the center and radius of this circle


center (-3, 2) radius 2
400

(4+7i)/(2-3i)

-1+2i

400

5^(2n-1)=125

2
400
solve and graph  write answer in interval notation

abs(2x-1)<7

(-3, 4)

400
Use switch and solve method to fin the inverse 

f^-1(x)

f(x)=log4(x)

f^-1(x)=4^x

400
Solve the system of equations

{(2x,+,3y,=,4), (x,+,y,=,7)}

(17, -10)
500

3sqrt6(2sqrt2-3sqrt8)

)

-24sqrt3

500
solve for k    

(y-h)/(x+k)=a

(y-h-ax)/a=k

500
solve graph and write answer in interval notation

5-7x>=12 or 3x-2<7

(-inf, 3)
500

find the specified composition function


f(x)=x+5 and g(x)=x^2-1

find 

g(f(x))

x^2+10x+24

500
Professor Holmes has two solutions available in the lab, one with 5% alcohol and the other with 10% alcohol.  How much of each should he mix together to obtain 5 gallons of an 8% solution?
2 gallons of 5% and 3 gallons of 10%
M
e
n
u