Test 5 Chapter 7.1-7.2, 7.4 Sample... Name Chapter 8.1-8.5

Test 5 Chapter 7.1-7.2, 7.4
Sample Test for MAT 0024C
Chapter 8.1-8.5
Add writing exercises and bonus problems as you see fit.
Name
Find any values for which the following are undefined.
B
$B
1.
2.
#
B(
#B  (B  "&
Write each rational expression in lowest terms.
4.
&B  $!
$B  ")
5.
B%
#B#  $B  #!
6.
#B#  "$B  #!
#B#  &B  #&
PL
E
3.
$#+,% - '
$'+,& - $
Find the following products, quotients, sums, or differences. Write each answer in lowest terms.
7.
)B# 'B%
†
"#B& #B
9.
+'
#)
†
#"
'+
8.
#"+% ,$
"%+# ,&
ƒ
"#- # . '
*- % . #
10.
)B  #% %B  #!
†
'B  $! 'B  ")
#B#  "$B  #! %B#  (B  #
†
%B#  "$B  $ #B#  B  "!
12.
+#  $'
%+  #%
ƒ #
$+  #"
+  %*
13.
#B#  (B  ' #B#  $B  *
ƒ
B#  %
B#  #B
14.
"$B
$B

%!C
%!C
15.
'8
%8

8# #8
16.
<#  )<
"&

<&
<&
18.
%
>"
œ
>&
>&
M
11.
SA
Solve. If no solution exists, state this.
17.
19.
#
"
œ
B"
B#
The coffee beans from 14 trees are needed to produce 7.7 kg of coffee. How many trees are needed to
produce 308 kg of coffee?
Simplify each expression. Assume that all variables represent nonnegative real numbers.
20.
22.
24.
26.
È'%
È"!!
È"!)
&È%!
21.
23.
25.
27.
ÈC '
È)"
$È%)C(
ÈB& C*
Find each product and/or quotient and simplify. Assume that all variables represent nonnegative real numbers.
28.
30.
32.
È"# † È'
29.
$È"&B% † %È'B&
31.
"!È(#. &
#È'. $
È#B$ C& † È"!BC%
È(&
È$
Find the following sums and/or differences. Assume that all variables represent nonnegative real numbers.
34.
&È%)  #È"!)
PL
E
$È'$7&  'È"(&7&
SA
35.
&È(  )È(
36.
#È(  %È#)  $È'$
M
33.