WorksheetsApplications of Rational Functions (LL 4)
Total questions: 10
Worksheet time: 50mins
Name
Class
Date
1.
Solve-
3/(x+3)-1/x=(-9)/x(x+3)
3/(x+3)-1/x=(-9)/x(x+3)
a)
No Real Solutions
b)
x=-3
c)
x= -3, and 2
d)
x=3
2.
Bethany has scored 10 free throws out of 18 tries. She wants to bring her free throw average up to 68%. How many consecutive free throws should she score in order to bring up her average to 68%?
a)
8 consecutive free throws
b)
2 consecutive free throws
c)
7 consecutive free throws
d)
4 consecutive free throws
3.
Solve-
7/x+2+5/x-2=10x-2/x2-4
7/x+2+5/x-2=10x-2/x2-4
a)
x=-1
b)
x=1
c)
x=5
d)
x=7
4.
The time it takes for a canoe to go 3 miles upstream and back 3 miles downstream is 4 hours. The current in the lake is 1 mile per hour. Find the average speed (rate) of the canoe in still water.
a)
x= -2
b)
x=2
c)
x= -1/2
d)
x= 2 and -1/2
5.
Erica can paint her room in 5 hours. If she has her friend Rachel help her, they can paint the room together in 3 hours. How long would it take for Rachel to paint the room alone, without Erica?
a)
x= 7.5 hours
b)
x= 8 hours
c)
x= 3 hours
d)
x= 5 hours
6.
Solve-
6/3x+5/4=3/x
6/3x+5/4=3/x
a)
x=4/5
b)
x=2
c)
x=5/4
d)
x=5
7.
Two hoses are used to fill Maddie’s neighborhood swimming pool. One hose alone can fill the pool in 10 hours; the second hose can fill it in 12 hours. The pool’s drain can empty the pool in 8 hours. If the two hoses are working, and the drain is open (by mistake), how long will it take to fill the swimming pool?
a)
x=8 hours
b)
x=15 hours
c)
x= 17 hours
d)
x= 20 hours
8.
Solve-
1/x-6+x/x-2=4/x2-8x+12
1/x-6+x/x-2=4/x2-8x+12
a)
x=3
b)
x=1
c)
no solution
d)
x=-1
9.
Find the LCD of this rational expression-
2/(x-4)(x-3)+1/8(x-3)²
2/(x-4)(x-3)+1/8(x-3)²
a)
(8)(x-4)
b)
(x-4)(x-3)
c)
8(x-4)(x-3)²
d)
8(x-4)(x-3)
10.
Solve-
x+2/8=3/4
x+2/8=3/4
a)
x=-4
b)
x=4
c)
x=2
d)
x=-2
100 %
