Simplification
Adding/Subtracting
Multiplying/Dividing
Complex Fractions/Fraction Decomposition
Graphs and Definitions
Solving
100
Simplify:
(2x-4)/4
(x-2)/2
100
Simplify:
(2x)/3+5/3
(2x+5)/3
100
Simplify:
(4x)/3*3/2
2x
100
Simplify:
(1/5)/5
1/25
100
Define "asymptote"
A line that a graph approaches but does not intersect.
100
Solve for x:
9/12=(2x)/16
6
200
Simplify:
(4m^2+20m)/(m+5)
4m
200
Simplify:
(m-n)/(16n^2)-6/(16n^2)
(m-n-6)/(16n^2)
200
State the primary method used to divide rational expressions.
Keep Change Flip
200
Find the partial fraction decomposition
(x+1)/(x(x-1))
-1/x+2/(x-1)
200
What is the base form of a rational function
y=1/x
200
Solve for x:
2-1/(n+3)=(4n+1)/(n+3)
2
300
State the excluded values of the expression:
(x+10)/(x-1)-:(x+10)/(6x^2-6x)
{1, 0, -10}
300
Simplify:
(r-5)/(r-3)+(6r)/(r-2)
(7r^2-25r+10)/((r-3)(r-2))
300
Simplify:
(-a^2+13a-40)/(a-5)-:(a-8)/(6a)
-6a
300
Find the partial fraction decomposition
(-8x+14)/(x^2-4x+3)
-5/(x-3)-3/(x-1)
300
State the condition that makes a solution extraneous
It is an excluded value
300
Solve for x:
1/(6x^2)-(x+5)/x^2=1/(2x^2)
-16/3
400
Simplify:
(x^2-x-30)/(x^2+2x-48)
(x+5)/(x+8)
400
Simplify:
3/(n+3)-(8n)/(3n-1)
(-8n^2-15n-3)/((3n-1)(n+3))
400
Simplify:
(16n+56)/8*(30n^2)/(4n^2+14n)
15n
400
How many parts do we break up a fraction into when doing fraction decomposition?
The number of linear factors
400
Write the equation for a rational function shifted left 3 units and down 2 units.
y=1/(x+3)-2
400
Solve for x:
(x^2-9)/(x^2-6x-7)=5/(x-7)
-2
500
Simplify:
(5x^3+22x^2+21x)/(6x^3-2x^2-60x)
(5x+7)/(2(3x-10))
500
Simplify:
7/2-(3v)/(15v^2+36v-96)
(35v^2+82v-224)/(2(5v-8)(v+4))
500
Simplify:
(21n^2+36n-12)/(3n^2-12n-36)-:(-49n^2+56n-12)/(70n^2-60n)
-10/(n-6)
500
Simplify:
(a/(a-1)+(a+1)/5)/((a-1)/(a-4)-5/(a-4))
(a^2+7a+1)/(5a+5)
500
Identify the equation of the graph
y=2/(x-1)+1
500
Solve for x:
2/(x+5)+3/(x-4)=x/(x+5)
(9+-sqrt(109))/2