MATH
140 Test 1 Name________________
Instructions: answer all the questions on the paper
provided and show all your work so that partial credit may be given.
1. Let U={1,2,3,…,10}, A={1,2,3,4}, and
B={1,3,5,7,8,9}. Write the elements of
each of the following sets: (16)
a) 
={________________}
b) 
={________________}
c) 
={________________}
d) 
={________________}
2. Let U={1,2,3,…,10} and A={1,2,3,4}. Find an example of a set B (if possible) that
satisfies the following: (20)
a) 
, B={________________}
b) 
, B={________________}
c) 
, B={________________}
d) 
, B={________________}
e) 
, B={________________}
3. a) Is
the following sequence arithmetic, geometric, or neither? (18)
3,
15, 27, 39, … _____________
b)
Find the next three terms in the sequence 7, 11, 15, 19, ____, ____, ____
c)
What is the 30th term in the sequence in part b)? ________
d)
Find the sum 7 + 11 + 15 + …+ 399
= ____________.
4. Express 1424 in Roman Numerals. ___________ (6)
5. Express
43125 as a base ten numeral.
____________ (8)
6. Express 276 as a base 5 numeral. ____________ (8)
7. Let A={1,3,5,7,9} and B={a,b,c,d,e}. (12)
a)
Give an example of a function from A to B using an arrow diagram.
b) Give an example of a one-to-one
correspondence between A and B and express it as a set of ordered pairs.
c)
Does the set {(1,a), (3,a), (3,b), (5,c), (7,d), (9,c)} represent a
function from A to B? Why or why not?
8. Use Venn diagrams to determine if the
following two sets are equal. (12)
and 