Rationals
Solve:
x/6+(4x)/3=x/18
x=0
Multiply & Simplify:
(3x)/(2y)*(10y^2)/(4xy)
15/4
Simplify:
(11/(3x))/(3/(4x))
44/9
Simplify:
sqrt(30)
sqrt(30)
Solve for x:
2x+5=13
x=4
Subtract:
5/(x-5)-(2x)/(x^2-25)
(3x+25)/((x+5)(x-5))
Divide & Simplify:
(7x^2)/(3x)/(21x)/6
2/3
If y varies directly as x, find the constant of variation k, when x = 28 and y = 56.
k=2
Simplify:
sqrt(48x^10y^5)
4x^5y^2sqrt(3y)
Solve the system of equations:
2x+y=10
3x-y=5
x=3
y=4
Find Domain:
(5-3x)/(2x^2-14x+20)
WRITE IN INTERVAL NOTATION
(-oo,2)U(2,5)U(5,oo)
Multiply:
(25x+25)/4*3/(5x+5)
15/4
If y varies directly as
x^2
and y = 100 when x = 5, find the constant k. Then find y when x = 3. (Write what k equals and what y equals)
k=4
y=36
Rationalize the Denominator:
(2-sqrt11)/sqrt6
(2sqrt6-sqrt66)/6
Factor:
x^2-7x+12
(x-4)(x-3)
Simplify:
(4x+24)/(x^2+6x)
4/x
Divide & Simplify:
(x+4)^2/6/(x^2-16)/36
(6x+24)/(x-4)
Simplify the complex fraction:
(5-(3)/x)/(x+(2)/(3x)
(15x-9)/(3x^2+2)
or
(3(5x-3))/(3x^2+2)
Multiply & Simplify:
(sqrt5-sqrt2)^2
7-2sqrt10
Multiply:
(2x+5)(2x^2-x+2)
4x^3+8x^2-x+10
Mr. Dodson can paint his house by himself in 4 days. His son needs an additional day to complete the job if he works by himself. If they work together, find how long it takes to paint the house.
(You can write your answer as a fraction)
20/9 hours
Multiply & Simplify:
(x^2+9x+20)/(x^2-15x+44)*(x^2-11x+28)/(x^2+12x+35)
((x+4)(x-7))/((x-11)(x+7))
or
(x^2-3x-28)/(x^2-4x-77)
Simplify the complex fraction:
(3x^-1+5y^-2)/(x^-1-y^-1)
(3y^2+5x)/(y^2-xy) OR (3y^2+5x)/(y(y-x))
Add:
sqrt(4x^7)+9x^2(sqrt(x^3))-5x(sqrt(x^5))
6x^3sqrtx
Simplify:
(2a^2*2b^3)^3/(4a*b^2)^2
4a^4b^5