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mohammad_quiz_3.docxMATH 107 (FA13) Quiz 3
Ali Mohammad
Show your work, and include units with your answers to the word problems.
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problem |
work |
answer |
score |
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1. Simplify. Write your answer in the form a + bi, where appropriate. a) b) c) |
a) b) c)
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a) b) c) |
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2. Solve for x. a) b) c) |
a) b) c) |
a) b) c) |
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3. Solve for x. a) b) |
a) b) |
a) b) |
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4a) Solve by completing the square to obtain exact solutions:
b) Use the quadratic formula to obtain exact solutions:
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a) b) |
a) b) |
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5. For the function a) Find the vertex b) Find the axis of symmetry c) Determine whether there is a maximum or minimum value and state the value |
a) b) c) |
a) b) c)
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6. Solve for x. a) b) |
a) b) |
a) b) |
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7a) The function represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline? b) Your company uses the model to represent how many units (y) of a new product will be sold x weeks after its release. How many units can you expect to sell in week 15? |
a) b) |
a) b) |
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8. Solve for x. a) b) |
a) b) |
a) b) |
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9. Solve for x. a) b) |
a) b) |
a) b) |
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10. Given a) Find the range b) Find the intervals on which the function is increasing and decreasing |
a) b) |
a) b) |
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Score: /50
MATH 107 (FA
13
) Quiz 3
Ali
Mohammad
Show your work
, and include units with your answers to the word problems.
problem
work
answer
score
1.
Simplify. Write your answer in
the form a + bi, where appropriate.
a)
?
-
3
-
4
??
?
-
(
5
-
??
)
b)
?
2
-
5
??
?
2
c)
8
-
??
-
4
+
7
??
a)
b)
c)
a)
b)
c)
2.
Solve for x.
a)
9
??
2
=
72
??
b)
2
??
2
=
14
c)
2
??
2
+
26
=
0
a)
b)
c)
a)
b)
c)
3.
Solve for x.
a)
10
??
3
-
4
??
2
+
15
??
-
6
=
0
b)
?
??
=
6
-
??
a)
b)
a)
b)
4a) Solve by completing the square to
obtain exact solutions:
??
2
+
5
??
-
5
=
0
b)
Use the quadratic formula to obtain
exact solutions:
4
??
2
-
7
??
=
1
a)
b)
a)
b)
5.
For the function
??
?
??
?
=
-
3
??
2
+
6
??
-
6
a)
Find the vertex
b) Find the axis of symmetry
c) Determine whether there is a
maximum or minimum value
and state the value
a)
b)
c)
a)
b)
c)
6.
Solve for x.
a)
?
??
+
1
3
=
6
b)
??
1
3
=
-
2
a)
b)
a)
b)
MATH 107 (FA13) Quiz 3
Ali Mohammad
Show your work, and include units with your answers to the word problems.
problem work answer score
1. Simplify. Write your answer in
the form a + bi, where appropriate.
a) -3-4??-(5-??)
b) 2-5??
2
c)
8-??
-4+7??
a)
b)
c)
a)
b)
c)
2. Solve for x.
a) 9??
2
=72??
b) 2??
2
=14
c) 2??
2
+26=0
a)
b)
c)
a)
b)
c)
3. Solve for x.
a) 10??
3
-4??
2
+15??-6=0
b) ??=6-??
a)
b)
a)
b)
4a) Solve by completing the square to
obtain exact solutions:
??
2
+5??-5=0
b) Use the quadratic formula to obtain
exact solutions:
4??
2
-7??=1
a)
b)
a)
b)
5. For the function ????=-3??
2
+
6??-6
a) Find the vertex
b) Find the axis of symmetry
c) Determine whether there is a
maximum or minimum value
and state the value
a)
b)
c)
a)
b)
c)
6. Solve for x.
a) ??+1
3
=6
b) ??
1
3
=-2
a)
b)
a)
b)
