Inverse and Direct Variation
Characteristics
Factoring
Adding/Subtracting
Multiplying/Dividing
Solving
EXAMPLE
100
True or False,
y=k/x
Represents the direct variation equation
What is...
FALSE
100
Find the vertical asymptote of:
y=(2x+8)/(3x-12)
What is...
x=4
100
Factor:
12x^2-18x
What is...
6x(2x-3)
100
Simplify and Identify Excluded Values:
2/(x-4)+3/(x+4)
What is...
(5x-4)/((x+4)(x-4))
x!=4,-4
100
Simplify and identify excluded values:
(6a)/(3a+15)*(4a+20)/(2a^2)
What is...
4/a
a!=-5,0
100
Solve for x:
2/(x+8)=5/(2x-7)
What is...
x=-54
100
Ms. Simms' first name...
What is...
Jasmine
200
True or false?
The constant of inverse variation equation is represented by:
k=xy
What is...
TRUE
200
Find the horizontal asymptote of:
y=(15x-14)/((3x+10)
What is...
y=5
200
Factor:
x^2+10x+21
What is...
(x+3)(x+7)
200
Simplify and identify excluded values:
3/(x+1)-(2x)/(x^2-1)
What is...
(x-3)/((x+1)(x-1)
x!=1,-1
200
Simplify & Identify Excluded Values
(4x+8)/(x^2-25)*(x-5)/(5x-10)
What is...
(4(x+2))/(5(x-2)(x+5))
x!=5,-5,2
200
Solve for x:
(x+1)/(x-3)=(x+2)/(x-6)
What is...
x=0
300
Does this table represent DIRECT or INVERSE VARIATION? How do you know.
What is...
Inverse Variation because:
*As x increases y decreases
* The constant of inverse variation k=24
300
Find the y-intercept of:
y=(4x-10)/(x-5)
What is...
(0,2)
300
Factor:
x^2-x-6
What is...
(x-3)(x+2)
300
Simplify and identify the excluded values:
12/(x^2+5x-24)+3/(x-3)
What is...
(3(x+12))/((x+8)(x-3)
x!=-8,3
300
Simplify and identify excluded values:
(x^2+3x)/(x-2) divide (x^2+4x+4)/(x^2-x-2)
What is...
(x(x+3)(x+1))/((x+2)(x+2))x!=2,-1,-3
300
Solve for x:
3/(x+1)+4/(x+2)=6/(x+2)
What is...
x=-4
400
Does this table represent DIRECT or INVERSE VARIATION? How do you know?
What is...
Direct Variation because
* As x increases y increases
* The constant of direct variation k=2
400
Find the x-intercept of:
y=(5x-10)/(x+4)
What is...
(2,0)
400
Factor:
x^2-25
What is...
(x+5)(x-5)
400
Simplify and identify excluded values:
(x+2)/(2x-2)-(-2x-1)/(x^2-4x+3)
What is...
(x+4)/(2(x-3)
x!=1,3
400
Simplify and identify excluded values:
(m+5)/(m-9) divide(m^2+10m+25)/((m^2-81)
What is...
(m+9)/(m+5)
m!=9,-9,-5
400
Solve for x:
12/(x+4)-7/x=22/(x^2+4x)
What is...
x=10
500
Solve for x:
(x+6)/(x-4)-30/(x^2-5x+4)=3/(x-1)
What is...
x= -6