Test 4 Mat 190 Equation Worksheet With Answers - 2007
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1
2Test 4
MAT 190
Summer 2007
Name ______________________
This test is take-home, so you may use your notes, book, Excel, etc. This test is due back to me at the
beginning of class on Monday, September 10, 2007. Late tests will not be accepted. Don’t forget to
simplify all of your answers and attach your work!
2
2
x
x
6
x
x 3
8
x 2
2
3
x
+
−
+
+
−
1. Simplify:
2. Multiply:
3. Add:
•
+
2
2
x
x 2
8
x 4
4
x
x 3
8
x
x
2
+
−
−
+
+
−
2
3
1
3
6
+
+
−
x
x
x
4
2
(
) 2
+
−
x
x
x
2
x
9
x 2
6
7
3
−
−
4. Divide:
5. Subtract:
6. Find the vertices of the functions:
÷
−
2
x 5
10
x
3
x
1
x
x 5
6
+
+
+
+
+
2
a) f(x) = 3x
+ 18x + 26
5
4
2
2
2 (
) 1
−
−
x
x
or
(-3, -1)
2
(
3
)(
) 1
(
3
)(
) 1
+
+
+
+
x
x
x
x
2
b) f(x) = 2(x – 2.7)
+ 9.8
(2.7, 9.8)
2
2
7. Graph the following function: f(x) = x
+ 2x – 4
8. Solve for x, if possible: 2x
+ 5x = 7
Vertex = (-1, -5)
7
x = 1,
−
x
y
2
-3 -1
-2 -4
-1 -5
0
-4
1
-1
11. A penny is dropped from the Trump Building in New York City, which is 927 ft off of the ground. How
2
long does it take the penny, falling freely, to hit the ground? (Use h(t) = –16t
+ v
t + h
)
o
o
t §VHFRQGV
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