+/- Rational Expressions
Simplify the following rational expressions:
(5n)/(30m) + (2m+4n)/(30m)
(9n+2m)/(30m)
Simplify the following rational expressions:
(1)/(v+10) * (10v+30)/(v+3)
(10)/(v+10)
Solve the following rational equation for x:
(1)/(5n) - (n-1)/(5n) = (1)/(n)
n=-3
Slide #1
on slide
How many DESKS are in this class?
30
Simplify the following rational expressions:
(u+5v)/(8v^2u^2) - (u-6v)/(8v^2u^2)
(11)/(8vu^2)
Simplify the following rational expressions:
(4y)/(y-6) \div (4y)/(8y-48)
8
Solve the following rational equation for x:
(1)/(2x) - (x-1)/(2x^2) = (3)/(x)
x=(1)/(6)
Slide #2
Slide #2
Is x-3 a factor of x3+3x2-13x-15 AND how do you know?
Yes because when it is synthetic divided the remainder is zero
Yes because when I plugged in 3 and evaluated it was equal to zero
Yes because I graphed it and 3 is a root
Simplify the following rational expressions:
(2n-4)/(n^2-n-20) - (n+1)/(n^2-n-20)
1/(n+4)
Simplify the following rational expressions:
(45x^2)/(x-9) * (x^2-5x-36)/(3x^3+12x^2)
15
Solve the following rational equation for x:
(x-4)/(6x) + (x^2-3x-10)/(6x) = (x-1)/(6)
x=-14
Slide #3
Slide #3
The Duchess of Sussex became famous for appearing on this TV show?
What is Suits?
Simplify the following rational expressions:
(5x)/(x-3) + (5)/(x+6)
(5x^2+35x-15)/((x-3)(x+6))
Simplify the following rational expressions:
(7a^2)/(7a^3+56a^2) \div (2)/(a^2+7a-8)
(a-1)/(2)
Solve the following rational equation for x:
(1)/(p-5) - (p+4)/(p^2-5p) = (6)/(p)
p=(13)/(3)
Slide #4
Slide #4
What is the only sea that has no coastline?
The Sargasso Sea
Simplify the following rational expressions:
(2x)/(3x+3) - (2)/(x+5)
(2x^2+4x-6)/(3(x+1)(x+5))
Simplify the following rational expressions:
(4x-20)/((x+2)^2) * (x^2-2x+1)/(x^2-2x-15) \div (2x-2)/(x^2+5x+6)
(2(x-1))/(x+2)
Solve the following rational equation for x:
(n^2-n-6)/(n^2) - (2n+12)/(n) = (n-6)/(2n)
n=-6
or
n=-(2)/(3)
On slide
On slide