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
This president was inducted into the national Wrestling Hall of Fame in 1992. He was defeated only once in roughly 300 matches.
President Abraham Lincoln
100
In Beech Grove Indiana, it is illegal to eat what in a park?
Muffins
Rice
Watermelon
Hamburger
Watermelon
200
Simplify the rational expression.
(x^2-9x+14)/(x^2-5x-14)
(x-2)/(x+2)
200
From 1923-to 1969 what state had a different language than English as their official language?
A 1929 Illinois law made American the official language.
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
What is the smallest country in the world?
Whether measuring by size (0.17 sq mi) or population (1,000), Vatican City is the smallest country in the world.
300
Solve the equation.
(x+12)/3=(2x+3)/(x+2)
x= -5, -3
300
Which country has the most lakes in the world?
Canada with approximately 879,800 lakes.
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.
1/(x+6)+(x+1)/x=13/(x+6)
x=2,3
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
Solve the equation.
(3x)/(x+1)+6/(2x)=7/x
x=-2/3, 2
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)