Math 1050—4 Midterm Exam #3
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April17, 2015
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Name:
No notes, books, etc. are allowed.
Answer the questions in the spaces provided.
You have 50 minutes to complete this exam.
Good luck!
A
IS
U
k
Q
uNID:
For #1—7, are the statements true or false?
(zw)
11
1. (1 point) 1og
(z)
11
log
=
+
2. (1 point) aXay
11
5. (1 point) log
6. (1 point)
—
log(z)
/ z \
)
=
)Y
(t
= ax±Y
\c
1og(w)
FI
S
Ls
(t (z)
(i)
(z)’
11
log
)
2.
CC
((
(z
11
3. (1 point) 1og
4. (1 point) (a
1.
(w)
11
1og
4.
)
(
C
6.
aX_Y
7. (1 point) A linear equation in two variables (ax + by
7l4L
Li(
:
)‘frWL
r) has vo solutions.
‘y
‘i
(LA E (0 i-J
For #8—10, write the expression as a rational niIriber in standard form.
8.
(1 point)
i
O
5Oo
2
3
2
3
9. (1 point)
8.
(s)
3
9.
a5
10. (1 point) 100,000
2?/S
(
c)
10.
Points earned:
out of a possible 10 points
For p11—12, write the expression as a rational number in standard form.
11. (1 point) log
10
(i
)
(
3)
11.
12. (1 point) log
4
j
1
-
i<I
3/)
(
-
12.
13. (1 point) Solve for x if Iog
(x)
8
form.)
—2. (Write your answer as a rational number in standard
-
13.
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Points earned:
out of a possible 3 points
14. (1 poin[) Solve for x if 2eX
—
5
3
2e
14.
15. (1 point) Solve forxife
2(z iy (1)
1
=
(E—L3
x
()
I) —21
H
—
JC5e(3}
15.
16. (ipoint) Solveforxifl7x—51 <4
zj<qx
-
<
£
-14
<
Cf
16.7
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Points earned:
out of a possible 3 points
17. (5 points) Graph 1(x)
1)(x
—
1)(x
+
2)(x
(-i)(I)(
\D(
+
2
2)(x
+
9)
L e((C(
)(
)
2
(q)
S.
—-)
—5
5
—8(x
18. (5 points) Graph r(x)
=
5(x
—
—
2
l)(x
3)(x
+
+
7)
1)(x
+
1)
L- ftci
—
3
.. r (
C—..
-g(—iJ(
ô)
5 ( -j( )()
—5
2 -r(z)
—4
0
—3
—2
—1
1
2
3
4
5
>0
Page 4
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out of a possible 10 points
I
its vertical
For #22—2 5, graph the function, draw and label its x- and y-intercepts (if any),
asymptotes (if any), and one additional point.
19. (3 points) og((x
—
21. (3 points) Graph g : R
1)
—
IP. where
(—cx,0)
(—x—2
ifx
x+2
ifxe[O,c’o)
3
15
1
20. (4 points) e
L)
(O,e’)
)
1
(c,
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out of a possible 10 points
22.
(a) (1
What is the slope of the line 9x
poin[)
1?
—
(I-x
3
S
3
I
‘“s
Ct
(a)
(b) (2 points) Is there a unique solution to the following system?
1/5
9x—5y=1
—6x+3y17
L?-
—Z
i
3
t
j
‘
(b)
J1VQtL
23. (2 points) The following system of two linear equations has a unique solution.
Find the solu
tion. (Your answer should be a rational number in standard form.)
2x
—2x
y
3y
9
+
+
=
11
C
q
S
-
-
ciid
4C
.
II
(1
Page 6
Points earned:
out of a possible 5 points