Factoring
Factor:
4x^2+4x
4x(x+1)
What is the "formula" representation of an inverse variation?
y=a/x
To add or subtract rational expressions, you need a __________ __________.
common denominator
What strategy can you use to divide rational expressions?
“keep, change, flip”
(multiply by the reciprocal)
Excluded values of a rational expression will make the value of the denominator equal to _____.
0
Factor:
x^2-25
(x+5)(x-5)
The variables x and y vary inversely. Use x = -2 and y = 3 to write an equation relating x and y.
y = -6/x
Add the rational expressions and simplify your answer:
5/(14x) + 3/(2x)
13/(7x)
TRUE OR FALSE:
When multiplying or dividing a rational expression, you do NOT need a common denominator.
TRUE
Solve the rational equation (and check for extraneous solutions):
(x+3)/5 = (x+1)/2
x=1/3
Factor:
x^2+13x+42
(x+6)(x+7)
If x and y vary directly with a = -4, what is the y value if x = -7.
y = 28
Find the common denominator of the rational expressions:
(2p)/(p+6) and 2/(5p-4)
(5p-4)(p+6)
Multiply the rational expressions:
1/(n+5) * (9n+45)/(n+5)
9/(n+5)
FREE POINTS!
+300
HOORAY!
Factor:
2x^2-2
2(x+1)(x-1)
Do x and y show a direct variation, inverse variation, or neither?
xy = -5
inverse
Subtract the rational expression:
4/(v+4) -3/4
(4-3v)/(4(v+4)
Divide the rational expressions:
(x-8)/(7x+14) div 1/(x+2)
(x-8)/7
Solve the rational equation (and check for extraneous solutions):
8/(x+3) = (x+1)/(x+6)
x=9,-5
Factor:
6x^2+10x-4
2(3x-1)(x+2)
Do x and y show a direct variation, inverse variation, or neither?
x = -9y
Neither
Add the rational expressions:
4/(3x+3)+1/(x-2)
(7x-5)/((3x+3)(x-2))
Multiply the rational expression:
(x+1)/(x^2-x-6) * (x^2+4x+4)/(x^2-4)
(x+1)/((x-3)(x-2))
Solve the rational equation (and check for extraneous solutions):
1/x+3/(x-4) = (2x+8)/(x^2-4x)
x=6