Test 4 Mat 1101 Worksheet - 2011
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1
2Test 4
MAT 1101
Spring 2011
Name ______________________
This test is take-home, so you may use your notes, book, Excel, MathGV, etc. This test is due back to me
at the beginning of class on Thursday, June 2, 2011. Late tests will not be accepted. Don’t forget to
simplify all of your answers and attach all of your work!
1. Given f(x) = 7x + 5 and g(x) = 3 – 8x, find the following:
a) (f + g)(x)
b) (f – g)(x)
c) (f • g)(x)
d) (f ◦ g)(x)
2. Factor completely.
2
2
2
a) x
– 10x + 24
b) 14x
+ 13x – 12
c) 16x
– 81
2
2
x
7
x
1
x
x 2
15
−
−
+
−
3. Simplify:
4. Multiply and simplify:
•
2
2
2
x
x 7
10
x
x
2
x
x 4
21
+
−
+
−
−
+
2
x
2
x
x 2
8
5
13
+
−
−
5. Divide and simplify:
6. Add and simplify:
+
÷
2
2
x
7
x
1
+
+
x
x 3
4
x 3
x 3
−
−
+
4
7
7. Subtract and simplify:
8. Find the vertices of the functions:
−
x
3
x
−
2
a) f(x) = 3.6(x – 4.1)
+ 13.2
2
b) f(x) = 5x
+ 20x + 13
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