1. find the sum

5/2 + (-2/3)

a. 11/6
b -11/6
c -10/6
d 10/6

2. which property is illustrated by the statement

(4+6.1)+7=4+(6.1+7)

a associative property of addition
b inverse property of multiplication
c commutative property of addition
d inverse property of addition

3. to which set of real numbers does the number 1/5 belong

a irrational numbers
b rational numbers
c whole numbers, integers, rational numbers
d whole numbers, natural numbers, integers

4. what is the algebraic expression for the following word phrase: the product of 2 and y

a 2y
b 2+y
c 2-y
d 2/y

5. what is the simplified form of the expression 1/196

a 1/14
b 13
c 1/12
d 1/169

6. evaluate x/y for x=2/3 and y=6/7

a 7/9
b 8/21
c 8/10
d 12/21

7. simplify the expression (3/5)^2

a 6/10
b 9/5
c 3/25
d 9/25

8. what is the simplified form of the expression
7[63 ÷ (5^2 - 2^2)-1]

a 10
b 42
c 14
d 350

9 which is a solution of the equation y=2x+5

a (5,20)
b (6,12)
c (3,11)
d (4,14)

10. solve the equation
for
4y-2=26

a 7
b 5
c 3
d 26

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.