Inverse Variation
Factoring
Components of Rational Functions
Multiplying & Dividing Rational Functions
Adding & Subtracting Rational Functions
Solving Rational Equations
Least Common Multiples
100
What is the general equation for inverse variation?
y = k/x or xy=k
100
x^2-49
(x+7)(x-7)
100
Which part of a rational expression helps us find the equation of a vertical asymptote?
Denominator
100
When multiplying, what can we do when a factor in the numerator matches a factor in the denominator?
Cancel the factor
100
3/x+2/x
5/x
100
2/x=1/4
x=8
100
What is the LCM of 3x and 6y?
6xy
200
What does the constant k represent?
The constant of proportionality
200
3x+6
3(x+2)
200
Which part of a rational expression helps us find the x-intercept(s)?
Numerator
200
1/x divide 1/x
1
200
1/x+2/x^2
(2+x)/x^2
200
3/x=x/3
x=3, -3
200
What is the LCM of (x+1) and (x-2)?
(x+1)(x-2)
300
If x and y are inversely proportional, and x=2 when y=8, what is the value of y when x=4?
y=4
300
x^2-100
(x+10)(x-10)
300
When finding the y-intercept, what must we do with the x variables?
Substitute every x with zero.
300
3/x divide x/3
9/x^2
300
3/x-2/x
1/x
300
1/(x+2)=1/5
x=3
300
What is the LCM of 5x^2 and 10 ?
10x^2
400
What is the value of k?
k=24
400
3x^2-x
3x(x-1)
400
How do we know if there is a hole in a rational functions?
The numerator and denominator will have common factors.
400
10/x times 3/10
3/x
400
5/x^2-2/x
(5-2x)/x^2
400
2/(x+3)=1/4
x=5
400
What is the LCM of 2, 3, and 12x?
12x
500
If it takes 3 people 2 hours to drink a giant milkshake, how many people will it take to drink a giant milkshake in 6 hours?
One
500
Factor
x^2+2x-35
(x+7)(x-5)
500
What does BOBO BOTN EATSDC help us locate?
Horizontal Asymptotes
500
1/(x+1)times ((x+1)(x-2))/5
(x-2)/5
500
x/x^3-x/x^3
0
500
(2x)/5=10/1
x=25
500
What is the LCM of x^2y^2 and 3x^2 ?
3x^2y^2