Wetzel                                                                                                                                                                                                              Summer 2006

Math 155

Test #1

                                                                                                                                                                                    Name:________________________

1.)  State whether the following statements are True or False.  Please write the entire word, True or False for each.

            __________  a.)  {1,2,3,…10} is an infinite set.

            __________  b.)  {4}  {1,2,3,…}

            __________  c.)  4  {1,2,3,…}

            __________  d.)  {1,2,3,4,5} = {2,4,…10}

            __________  e.)  {0} = the empty set

            __________  f.)  {a,b,c} is equivalent to {x,y,z}

            __________  g.)  (1,2,3) = {1,2,3}

            __________  h.)  June  {x ½x is a month beginning with J}

            __________  i.)  {5,50,100}  {5,10,15,…100}

            __________  j.)  {5,50,100}  {5,10,15,…100}

            __________  k.)  The set {1,3,5,…19}  has 1024 proper subsets and 1023 subsets.

            __________  l.)  {a,b,c}  {c,b,a}

            __________  m.)  U = A + A’

2.)  How many elements are in the null set?

Given the following sets, find the answers to questions 3- 8.

                        U = {6,7,8,9,10,11,12,13,14,15}

                        A = {8,10,12}

                        B = {9,10,11,12}

                        C = {7,8,12,13,15}

3.)   B’                                     4.)  C’                                                  5.)  A  C

6.)  B  C                              7.)  C  Æ                                         8.)  A  B’

Given the following Venn Diagram, list the elements in questions 9 – 11.

9.)  A’                                      10.)  A  B                                        11.)  U

12.) 

Approximately how many blue cars where sold?

Which two colors sold the same amount?

Evaluate each of the following.

13.)  6 + (-9)                                        14.)  -15 – (-10)                                  15.)  -6 + 5

16.)  -2 – 6                                          17.)  (-4)(8)                                         18.)  5(0)

19.)                                               20.)                                                 21.) 

Completely simplify the following.

22.)                                         23.)                                                24.) 

25.)  Express 0.014 in scientific notation.

26.)  Express x in decimal notation.

27.)  Pens are bought at $.95 per dozen and sold in groups of four for $2.25.  Find the profit on 15 dozen pens.  (Work must be shown for credit!)

28.)  A car rents for $220 per week plus $.25 per mile.  Find the renal cost for a two-week trip of 500 miles for tree people.  (Work must be shown for credit!)