Math 1050-5
Babenko V.
September 25, 2014
Test 1
Name:____________________________
UID#:____________________________
This is a closed book Test. No books, laptops, or messaging are permitted. NO calculators
are allowed. You have 12 problems, they are equal in weight. The entire exam is worth 12
points. For full credits show all work! Box your answer so it is easy to locate. You have
50 minutes.
GOOD LUCK!!!
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4. a) \Vhat is the 25th term in the sequence 2, -6, 18, -54, ...
c.
z
,
4. b) ‘What is the 11th term in the sequence -10, -7, -4, -1, ...?
20
-
5. a) ‘vVhat is the sum of the first 200 terms of the sequence 0, 2, 4, 6,
0
Z
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2OQ
5. b) What does the following series equal: 100 + 25 +
+ ...?
+
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—
LVO
..—
4
6. a) You’re buying a car. You know which model you want to buy, but you are given
the option of 4 different colors, 2 different styles of hubcaps, and 5 kinds of new car scent.
How many different types of car could you buy?
6. b) You are skiing at a resort. There are 25 different runs you can ski at the resort.
You want to ski each run exactly once, so you need to decide which to ski first, second,
third, etc. How many different decisions could you make?
7. a) You’re on a boat with 150 people. The boat is sinking and there is only one life
raft that seats 12. How many different options are there for which 12 people to put in the
raft?
(\D
7. b) You are in an ice cream shop. There are 15 flavors of ice cream. You are building a
sundae with a scoop of ice cream on the bottom, a different flavor on top of that, and a
third different flavor on top of that. If it matters to you which flavor is on the bottom, in
the middle, and on the top, then how many different sundaes can you make?
8. What is
()?
(Your answer should be a natural number in standard form.)
5
9 If [(a’)
=
2
a’
+ 2r + 3 and g(x)
=
a’
+ 1, then what is
(f o
*
S
2-
10. a) What is the implied domain of h(x)
10. b) What is the implied domain of g(x)
10. c) Simplify the expression:
=
/1Ox
=
_x2+1_77
—
31 + 11?
lOx+3
/iö
. .
Ii. f(x)
SL
=
‘.
Find inverse function.
2-1-
6
-
12. Below is the graph of a function f(x). Use this graph to answer questions.
2
S
-i.
—2
a) What is
b) What is the domain of
c) What is the range of
f?
f?
d) What are the i-intercepts of the graph of
e) What is the y-intercept of the graph of
f?
f?
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
‘1
Total
7
/10
/10
/10
/10
/10
/10
/10
/10
/10
/10
/10
/10
/120
/12