Excluded Values
Asymptote(s)
Variation
Simplify
Solve
100
What are all of the excluded values for the following:
Only x=0 Division by zero is undefined.
100
Find the Horizontal Asymptote(s) for the following equation:
y = -3
100
In _____________ variation x values increase as y values increase at a constant rate.
direct
100
This is the LCD for the following equation:
5x
100
Solve. 
Cross multiply. x = -1
200
This is the excluded value for the following equation
What is -5 and 7
200
This is the Horizontal Asymptote(s) for the following equation:
y = 4 (As x approaches infinity, 
approaches 1. Hence y = 1 + 3 = 4
200
Direct variation: Find k when x = 30 and y = 2.
1/15
200
Find the LCD for the following equation:
(x-2)(x-5) = x2 - 7x + 10
200
Solve. 
LCD = 6x2 x = 5
300
This is the excluded value for the following equation:
What is 4 and -10
300
This is the Vertical Asymptote(s) for the following equation
x = -3,2
300
Inverse variation: Find k when x = 10 and y = 7.
70
300
Simplify. Identify any undefined x-values.
x cannot = -4, -1 or 0 -->
Invert bottom fraction and multiply, after factoring each section.
300
Solve. 
LCD = x2 + 3x or x(x + 3)
x = -3
400
This is the excluded value for the following expression:
What is 9, -4, and -10
400
This is the Horizontal Asymptote(s) for the following equation:
Factor the denominator: -2(x + 3)
What is y = -1/2
400
Direct variation: Find y when x = 20 if x = 8 when y = 12.
30
400
This is the LCD for the following equation:
What is (x2)(x + 5) or x3 + 5x2
400
Ed drives to school at 20 mph and drives home at 30 mph. What is his average speed for the whole trip? Round to the nearest hundredth.
24 mph
500
These numbers are the excluded values of the following equation
What is 2 and -3
500
This is the slant asymptote for the following equation:
y = 3x + 7
Use synthetic or long division.
500
Inverse variation: Find x when y = -4 if x = -18 when y = -5.
y = -45/2 = -22.5
500
Simplify. Then identify any undefined x-values.
Undefined values: x = +1, -1, 0, -3
500
Ed can paint a fence in 3 hours. Gina can paint a fence in 2 hours. How long will it take them to paint a fence if they work together? Round to the nearest hundredth of an hour.
Take 6 hr. Ed can paint 2 fences and Gina can paint 3 fences. hence, 6hr / 5F