Model Inverse and Joint Variation
Graph Rational Equations
Multiply and Divide Rational Equations
Add and Subtract Rational Expressions
Solve Rational Equations
100
Tell whether it is an inverse variation, direct variation, or neither. 8y=x
Inverse variation
100
What are the vertical asymptotes of 2x/x^2-1?
x=1, -1
100
Simplify. x^2-9x+14/ x^2-5x-14
(x-2)/(x+2)
100
Add and simplify 15/4x+5/4x
5/x
100
A method for solving a simple rational equation for which each side of the equation is a single rational expression.
What is cross multiplying
200
Tell whether it is an inverse variation, direct variation, or neither. x+y=6
Neither
200
What is the horizontal asymptote of x-4/x^2-3x?
none
200
Simplify. (x+4)/ (x^2-16)
1/(x-4)
200
Subtract and Simplify: 3/(x+4)-1/(x+6)
2(x+7)/(x+6)(x+4)
200
You check for these by substituting solutions back into an orignial problem when solving rational equations.
What is extraneous solutions.
300
Tell whether x and y show inverse variation, direct variation, or neither. y/x=25
Direct variation
300
What is the horizontal asymptote of x^2+3/2x^3
y=0
300
Simplify. x^2-4/ x^2+9x+14
x-2/x+7
300
Add and Simplify : x/(x^2-9)+x+1/(x^2+6x+9)
(2x+3)(x-1)/(x-3)(x+3)^2
300
What is the solution of 3/ x+2 = 6/ x-1
x= -5
400
x and y varie inversely. Use the given values to write an equation relating x and y. Then find y when x is 2. X=4, Y=6
y=a/x, 6=a/4, a=24, y=24/2 Answer: y=24/x; 12
400
What are the x-intercepts and the horizontal asymptote of x^2-5x-36/3x?
(9,0), (4,0), none
400
Simplify. (x+2/x^3-27) * (x^2+3x+9/1)
(x+2/x-3)
400
Simplify the Complex Fraction 16/(x-2) ------------- 4/(x+1)+6/x
8x(x+1)/(x-2)(5x+3)
400
Solve. 2/ x-3 + 1/x = x-1/ x-3
x = 1
500
Write the equation for: z varies jointly with x and the cube of y and inversely with the square root of w.
z=axy^3/√w
500
What are the x-intercepts of y=3x^2+10x-8/x^2+4?
(2/3,0), (-4,0)
500
Simplify. (5x^2/2xy^2) * (6xy^3/10y)
3x^2/2
500
Simplify 1/x-x/(x^-1+1) ------------------ 5/x
-(x^3-x-1)/5(x+1)
500
Solve. 6x/ x+4 +4 = 2x+2/ x-1
x= -3/2, 2
M
e
n
u