Show:
8.1
8.2
8.3-8.4
8-5
8-6
100
Simplify : 5x(x^2 +4x+3)/(x-6)(x^2-9)
5x(x+1)/(x-6)(x-3)
100
6xy,15x^2,9xy^4
90x^2 y^4
100
What type of is function c = 5000/n? 
Reciprocal function
100

If a varies directly as b and b=18 when a=27, find a when b=10

a = 15
100
1/3 + 4/x-2 = 6
x = 46/17
200
A ratio of two polynomial expressions is called 1700/d-33
rational expression
200

Find the LCM of each set of polynomials

y^4 + 8y^3 + 15y^2 and y^2 - 3y - 40

LCM = y^2(y+5)(y+3)(y-8)
200
Determine the value of x for which f(x) = 3/2x+5 is not defined
x = -5/2
200
If y varies inversely as x and y=-3 when x=9, find y when x=81

y = -1/3

200

2/x2-9 = 3/x2+2x-3

x = -7
300
Simplify : (4w^2 - 3wy) (w+y) / (3y-4w) (5w-y)
(-w)(w+y)/5w +y
300
Simplify each expression : 3y/2x + 2z/5x
15y+4z/10x
300

If f(X) = a(x)/b(x) . a(x) and b(x) are polynomial functions with no common factors other than 1, and b (x) does not equal 0 then

f (x) has a _____ asymptote whenever b(x) = 0

and f(x) at most one ______ asymptote

Vertical Asymptote

Horizontal Asymptote

300
If y varies jointly as x and z, and x=8 and z=3 when y=72, find y when x=-2 and z=-5
y = 30
300

x/2 + 1/x-1 < x/4

x > 4
400
Simplify each expression : 6c/5d * 15cd^2 / 8a

9c^2d/4a

400

Simplify each Expression :

4/x^2 - 4x + 3  + x/x^2 + 5x - 6

x^2 + x + 24 / (x-3)(x-1)(x+6)
400
an asymptote that is neither horizontal nor vertical
an oblique asymptote (sometimes called a slant asymptote)
400
A map of Texas is scaled so that 2 inches represents 30 miles. How far apart are El Paso and Odessa if they are 20 inches apart on the map?
300 miles
400

14/x+3 + 10/x-2 = 122/x2+x-6  

x = 5
500
X^2-6x-16 / x^2 - 16x + 64 * x-8/ x^2+5x+6
1/x+3
500

Polynomial Denominators

Simplify :

5/6x-18 - x-1/4x^2 - 14x +6

7x-2/6(x-3)(2x-1)
500

Find the zeros and vertical asymptotes on graph

f(x) x^2+4x+4/2x-1

Zero at X= -2

Vertical asymptote at x = 1/2

500

Neil Armstrong weighed 360 pounds on Earth with all his equipment on, but weighed only 60 pounds on the Moon. Write an equation that relates weight on the Moon with m with weight on Earth w.

m = 1/6w
500
4/3y + 2/5y < 3/2
y > 52/45