Simplifying Polynomial Ratios
Simplify.
(x^2 - 81)/(x - 9)
x + 9
Multiply.
(x+2)/(4x+8) * (5x+60)/(x+12)
5/4
Divide.(x-3)/(4x-16) / (5x-15)/(8x-32)
2/5
If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?
24 days
P varies directly with q. If p is 75 and q is 5, find the value of P when q is 8.
120
Simplify.
(x^2 + 10x + 25)/(x + 5)
x + 5
Multiply.
(49x^2 - 4)/(3x^2 -2x -21) * (3x - 9)/(7x-2)
(3(7x+2))/(3x+7)
Divide.
(3x+9)/(7x-49)/(x+3)/(x-7)
3/7
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
16 men
The velocity of a falling body varies directly as the time of flight. If the velocity of the falling object at the end of 4 seconds is 72.8 ft./s, find the velocity at the end of 6 seconds.
109.2
Simplify.
(8x^3 -27)/(2x - 3)
2x^2 + 6x + 9
Multiply.
(10x^2 +17x+3)/(5x+10) *(x+2)/(5x^2 + 36x +7)
(2x+3)/(5(x+7))
Divide.
(6x+36)/(45x+40)/(2x+12)/(9x+8)
3/5
A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?
10 days
What is the value of x when y = 10, x = 5. Find x when y = 8.
4
Simplify.
(x^2 - 9x + 14)/(x^2 - 49)
(x-2)/(x+7)
Multiply.
(7x^2 -18x+8)/(x+6) * (3x+10)/(2x -4)
((7x-4)(3x+10))/(2(x+6))
Divide.
(y^3 -27)/(y^2 -9)/(5y^2 + 15y +45)/(y^2 + 8y +15)
(y+5)/5
What is the value of x? When x= 4, y = 6. What is the value of x when y is 3?
8
If x varies directly with y. Given that x = 104 when y = 8, determine the direct variation equation and then determine x when y = 15.
195
Simplify.
(3x^3 + 6x^2 + 4x + 8)/(5x^2 - 20)
(3x^2 + 4)/(5(x-2)
Multiply.
(2xy)/(x^2y+3xy)* (x^2 +6x+9)/(4x+12)
1/2
Divide.
(x^3-64)/(16x-x^3) / (2x^2 +8x +32)/(x^2 + 2x - 8)
-((x-2)/(2x))
If U varies inversely as I, and U = 6 when I=4. What is the value of U when I = 8.
3
What is the value of y? When y= 30, x = 6 so when x = 3, what does y =?
15