Test 1
Name: ________________________
Math 115 – 007
September 10, 2009
Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work
shown, but full credit may not be given for correct answers with incomplete or incorrect work.
No calculators or outside assistance may be used during this quiz.
1. (4 points) Circle each correct property of exponents and radicals (there may be more
than one correct answer)
a.
n
n
n
ab
b
a
)
(
=
b.
nm
m
n
a
a
a
=
c.
nm
m
n
a
a
=
)
(
d.
n
n
n
b
a
b
a
+
=
+
)
(
2. (4 points) Classify the following expressions as polynomial, rational (but not
polynomial), or neither.
a.
1
5
100
3000


x
x
Polynomial
b.
3
4

+
x
x
Rational
c.
100
100
x
x
+
Neither
d. 7
Polynomial
3. (4 points each) Write the equation given the description.
a. The circle with center (2, 9) and radius 3
2
2
2
3
)
9
(
)
2
(
=

+
+
y
x
b. The line with slope
2
3
passing through the point (3, 4)
)
3
(
2
3
4

=

x
y
OR
2
1
2
3

=
x
y
c. The line passing through the points (4, 3) and (1, 7)
2
5
10
)
1
(
4
)
7
(
3
=
=




=
m
,
)
4
(
2
3

=

x
y
, OR
)
1
(
2
7
+
=
+
x
y
, OR
5
2

=
x
y
d. A quadratic equation with solutions
3
,
1


=
x
0
3
4
)
3
)(
1
(
2
=
+
+
=
+
+
x
x
x
x
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Test 1
Name: ________________________
Math 115 – 007
September 10, 2009
4. (4 points each) For each equation, write the solution set for
x
and classify each
equation as an identity, conditional, or inconsistent.
a.
8
3
5
2

=

x
x
8
2
+

x
8
2
+

x
x
=
3
Since this equation has a solution, it is conditional.
b.
1
1
1
1
1
1
2

=
+
+

x
x
x
Since
)
1
)(
1
(
1
2

+
=

x
x
x
, multiply both sides of the equation by
)
1
)(
1
(

+
x
x
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '09
 Ms.Park
 Math, Quadratic equation, Elementary algebra, Tom jerry

Click to edit the document details