F0910501
1
MAT 1050 GROUP FINAL EXAM – FALL 2009
SHOW ALL WORK. DO NOT USE A CALCULATOR.
1.
(7 pts.) Simplify by adding (or subtracting) like terms wherever possible:
2
5
2
1
2
2
3
2
2
1
3
3
7
5
y
y
y
y
y
y
−
+
+
−
+
2.
(7 pts.) Simplify completely:
4
5
4
4
2
4
0
3
5
2
32
n
m
p
m
p
n
m
⋅
−
3.
(7 pts.) Multiply and simplify completely:
(
)
2
20
45
+
4.
(7 pts.) Simplify completely:
2
2
1
2
1
2
1
4
4
4
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎝
⎛
+
−
−
5.
(6 pts.) Solve:
5
8
1
4
3
=
+
+
x
6.
(6 pts.) Solve:
2
3
2
6
≥
−
−
x
7.
(7 pts.) I have $9.45 in quarters and dimes in my pocket. The number of dimes is 18 less than
twice the number of quarters. How many of each do I have in my pocket?
8.
(7 pts.) Solve for
z
y
x
y
1
1
1
:
+
=
9.
(6 pts.) Let
f
be the function given by
4
2
1
)
(
−
+
=
x
x
x
f
.
What is the domain of
f
?
10.
(6 pts.) Let
g
be the function given by
3
2
7
2
)
(
−
+
=
x
x
x
g
.
Find and simplify
(
)
( )
[
]
3
3
10
2
g
g
−
.
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