Math Practice Test With Answer Key - Woodland Community College Page 28

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29. Perform the indicated operation.  
(
)
(
)(
)
•
−
3
3
−
+
(a)
                      (b)     
                       (c) 
                       
10
xy
5
x
y
3
2
6
5
12
2
6
7
4
6
3
7
−
+
3
3
3
3
3
54
xy
5
2
xy
y
128
x
−
−
−
+
3
3
3
(d) 
3
108
2
18
3
48
           (e) 
        (f)  
3
48
xy
5
3
384
xy
y
6
x
 
−
•
3
4
4
2
3
3
2
2
x
250
x
4
4
50
x
y
25
x
y
+
(g )  
               (h) 
   
3
9
27
Rationalize the denominator in each expression. Assume all variables represent positive real numbers. 
30.
2
6
5
5
x
3
(a)
 (b) 
 (c) 
 (d) 
 (e) 
 
+
−
+
3
1
15
5
3
5
3
9
11
2
5
8
x
y
3 •
4
3
5
Use rational expression to write as a single radical expression. 
 
31.
Solve the following equations.(check your answers). 
32.
−
+
=
−
+
+
=
+
=
−
2
x
3
x
3
(a)
                    (b) 
                       (c)
  
x
3
x
2
5
x
3
x
3
 
(
)
(
)
−
−
9
5 ,
3
13
3 ,
3
Find the distance between
 and 
. 
33.
a +
Perform the indicated operations write the answer in the form
   
34.
bi
3 +
7
4
i
(
) (
) (
)
(
)
+
−
+
+
+
−
2
(a)
3
2
i
6
i
5
3
i
          (b)
 (c)
                (d) 
         
3
4
i
+
4
i 3
2
i
 
             
 
75
−
79
i
18
i
−
i
75
   Simplify  (a) 
                 (b)  
 (c) 
                         (d)
 
35.
                 
 
(
)
=
−
=
−
+
2
g
(
x
)
2
x
gof
(
) 2
f
(
x
)
x
6
x
2
If 
and
 find
. 
36.
 Find the inverses of the following functions.  
37.
1
1
=
−
=
(a)
     (b) 
 
f
(
x
)
x
7
f
(
x
)
−
2
3
x
8
x
⎛
⎞
1
=
+
=
=
+
x
2
⎜
⎟
x
Graph      ( a)  
f
(
x
)
2
   (b) 
 
f
(
x
)
2
1
f
(
x
)
38.
(c)
⎝
⎠
2
=
Write
 as an exponential equation. 
log
. 0
064
3
39.
0
4 .
π
=
3
Write
 as a logarithmic equation. 
x
40.
1
+
−
−
+
+
−
2
Write as a single logarithm. (a)  
 (b)  
 
5
log
x
2
log
x
log
x
41.
2
log
x
3
log
(
x
) 2
log
(
x
) 2
5
5
5
10
10
10
4
+
−
−
+
+
+
2
(c) 
 (d) 
 
2
log
2
log
10
2
log
5
log
x
log
(
x
) 5
log
(
x
) 2
4
4
4
6
6
6
−
=
−
−
=
− x
=
8
2
Solve each equation for x.   (a)
log(
3
x
) 4
0
9 .
        (b)
ln(
2
x
) 1
3
4 .
                  (c) 
            
2
7
42.
=
+
−
=
+
+
=
4
x
(d)  
                        (e)
                  (f)  
                          
e
3
log
(
x
) 1
log
x
2
log
x
log
(
x
16
)
2
 
6
6
6
6
1
ln +
=
=
=
=
5
ln
x
0
(g) 
 (h) 
              (i) 
log
               (j) 
  
x
               
log
81
4
log
3
x
125
x
27
3
Find how long it would take for $1800 to double if it is invested at 6% interest compounded monthly. 
43.
nt
⎛
⎞
r
=
+
⎜
⎟
A
P
1
⎝
⎠
n
Use  
 and round to nearest tenth.              

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