Simplifying Rational Expressions
Solving Rational Functions
Graphing Rational Functions
Multiply & Divide Rational Functions
Add & Subtract Rational Functions
100
Simplify the rational expression.
(x^2+5x-14)/(x^2-4x+4)
(x+7)/(x-2)
100
Solve the equation.
5/x=7/(x+2)
x=5
100
What is the equation of the vertical asymptote?
f(x)=1/(x-3) +2
x=3
100
The city Ms. Freeman is moving to.
What is Fort Worth, Texas?
100
The high school that Mrs. Cortez graduated from.
What is NORMAN HIGH?!
200
Simplify the rational expression.
(x^2-9x+14)/(x^2-5x-14)
(x-2)/(x+2)
200
Solve the equation.
(x+12)/3=(2x+3)/(x+2)
x= -5, -3
200
What is the equation of the horizontal asymptote?
f(x)=4/(x+2)-1
y=-1
200
Multiply and simplify:
(6x^2-18x)/(x^2-10x+21) * (x^2-14x+49)/(3x^2)
(2(x-7))/x
200
Add the expressions and simplify.
12/(5x)+7/(6x)
107/(30x)
300
The number of kids Mrs. Cortez has.
What is three?
300
Solve the equation.
1/(x+6)+(x+1)/x=13/(x+6)
x=2,3
300
The only number in the English language that is spelled with the same number of letters as the value of the number itself.
What is four?
300
Divide and simplify.
(5x^2y^3)/(x^7) div (30xy^4)/(y^3)
y^2/(6x^6)
300
Find the Least Common Multiple (LCM):
10x^2-15x
5x^3
5x^2(2x-3)
400
Simplify the rational expression.
(2x^2+2x-4)/(x^2-5x-14)
(2(x-1))/(x-7)
400
Solve the equation.
(3x)/(x+1)+6/(2x)=7/x
x=-2/3, 2
400
f(x)=3/(x-1)-2
a) Graph the function.
b) State the domain and range.
domain:
x!=1
range:
y!=-2
400
Multiply and simplify.
(x-3)/(2x-8) * (6x^2-96)/(x^2-9)
(3(x+4))/(x+3)
400
Add the expressions and simplify.
x/(x^2-x-12) + 5/(12x-48)
(17x+15)/(12(x-4)(x+3)
500
Simplify the rational expression.
(8x^2+10x-3)/(6x^2+13x+6)
(4x-1)/(3x+2)
500
4/(n+1)+1/(n^2-5n-6)=1/(n-6)
What is 8?
500
a) Find both the horizontal and vertical asymptotes.
b) Graph the function.
f(x)=3/(x+8)-3
horizontal asymptote: y=-3
vertical asymptote: x=-8
500
Divide and simplify.
(3x+27)/(6x-48) div (x^2+9x)/(x^2-4x-32)
(x+4)/(2x)
500
Subtract the expressions and simplify.
(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)
(-x+1)/((x+7)(x-2)