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Department of Mathematics
The City College of New York
Math 19000
Final Examination
Spring 2006
Instructions:
Show all work. You may use a scientific calculator.
Answer 5 questions from Part I and 13 questions from Part II.
Part I.
Answer any 5 questions (7 points each)
1)
Simplify completely:
22
32
43
xx
xx x
+
−
−+
−
1
1
2)
Solve for
x
:
11
23
−=
−
1
3)
Solve the equation
17
4
7
x
−−
=
x
and check your answer(s).
4)
Use long division to simplify the fraction
1
3
2
3
+
+
+
x
x
x
x
.
5)
In triangle
ABC
, angle
A
measures 27 degrees, angle
B
measures 95 degrees, and the
length of side
AB
is 15 centimeters. Find the length of side
AC
, correct to two decimal
places.
6)
Find the largest angle (to the nearest degree) of a triangle whose sides measure 7
inches, 8 inches, and 4 inches.
Part II. Answer any 13 questions (5 points each)
7)
Rewrite
2
1
3
3
7
2
3
−
−
−
y
x
y
x
x
so that only positive powers (and no radical sign) appear in
your answer.
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This note was uploaded on 10/28/2011 for the course MATH 195 taught by Professor Ocken during the Spring '11 term at CUNY Hunter.
 Spring '11
 Ocken
 Math

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