Algebra II Test Chapter 11
Mr. Pleacher
Name ______________________
I. Multiple Choice
_____ 1. By what should you multiply both sides of the equation to solve
3x
5
1


?
x  9 x  3 2x  6
2
(A) 2( x  3)( x  3)
(D) x 2  9
(C) 2( x  3)
(B) x + 3
_____ 2. Which represents an inverse variation?
(A) y = 3xz
(C) y 
(B) y = 12x
5
x
(D) y 
f ( x) 
_____ 3. Which is a point of discontinuity in the graph of
(A) (11, 0)
(C) (–11, –22)
(B) (11, 22)
_____ 4. Suppose p varies inversely as q. If p 
x
5
x 2  121
?
x  11
(D) there are none
1
when q = 10,
10
determine q when p = 5.
(A) 20
(B)
1
5
(C)
1
2
(D) none of these
_____ 5. Suppose n varies jointly as e and d. If n = 120 when e = 5 and d = 6,
determine d when n = 96 and e = 3.
(A) 8
(B) 16
(C) 12
(D) 1152
_____ 6. Which represents a vertical asymptote of y 
(A) x = 3
(B) y = 0
5
?
x3
(D) x = –3
(C) y = 5
_____ 7. Suppose y varies directly as x. If x = 6 when y = 8, determine y when x = 4.
(A) 3
(B)
3
4
(C)
4
3
(D)
16
3
II. Simplify each rational expression, stating any restrictions on the variables.
6u 3 v 2 w
___________ 8.
11u 2 w2
___________ 9.
___________ 10.
d 2  81d
d  81
x9
x  6 x  27
2
III. Perform the indicated operation and simplify.
___________ 11.
x 2  7 x x 2  4 x  21

x 2  49
x 2  3x
___________ 12.
4 f  3 5 f 1

4 f  3 1 5 f
___________ 13.
x3  2 x 2  63x x 2  81
 2
x 2  49
x  7x
___________ 14.
5y 1
y4

2 y  6 5 y  15
___________ 15.
9
1

5x 6 x
___________ 16.
2z  1
4
 2
z  5 z  3 z  10
IV. Simplify
___________ 17.
___________ 18.
3
d
a
5
6 5

a b
1
1

2a 2b
2k
k  4k  3
1
2

k  3 k 1
2
___________ 19.
V. Solve and Check.
___________ 20.
___________ 21.
___________ 22.
7 3 5
 
6x x 6
8
8

 2
p3
p 3
1
6
1
 2

x5
x5
x  25
VI. Word Problem
___________ 23. The velocity of a river is 2.5 miles per hour. Moving with the
current, a boat can travel 15 miles in the same amount of time
that it would take to go 5 miles moving against the current.
Determine the boat's rate in still water.