Name: _______________
Rational Functions Part 2 Test Review
1. While traveling in a car, the speed of the car x is inversely proportional to the time y it takes to travel a
certain distance. At 20 mi/h, it takes 10 minutes to travel to work. Write an inverse variation equation and find
the number of minutes it would take traveling 25 mi/h.
2. The amount of pizza that Kirby can buy varies inversely as the price of the pizza increases. Kirby can afford
to buy 3 pizzas that cost $15.00 each. Write an inverse variation equation and find the number of pizzas Kirby
can buy if the cost is $9.00 each.
Solve.
3.
x  5 2x  3 4x  2


x3
x3
x3
5.
4.
15
1
6
 2

a  2 a  7 a  10 a  2
6.
7.
8. Find the solution for when f(x) < g(x).
1
5
is the bolded line. g ( x )  2
is the
x  2x
x  2x
regular line. The scale of the graph is 1.
f ( x) 
2
9. Find the solution for when f(x) > g(x).
9
4
f ( x)   2
is the bolded line. g ( x)  
is
x 1
( x  1)( x  1)
the regular line. The scale of the graph is 1.
10. Suppose one painter can paint the entire house in twelve hours, and the second
painter takes eight hours. How long would it take the two painters together to paint the
house?
11. Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours.
Had he done it alone it would have taken Daniel 9 hours. Find how long it would take
Paul to do it alone.
12. Shalini can run 3 miles per hour faster than her sister Meena can walk. If Shalini
ran 12 miles in the same time it took Meena to walk 8 miles, what is the speed of each
sister in this case?
13.
14.