Math t7}-euiz
2otf
-
ff L
Name:
Total: 40 points
Part A: For these short answer
questions,
#J:",?ffe
irro"'"uo
A
vour final answt'
:
a)
BnC
b)
(AuB)nc
c)
Zn(AuB)
d),4u
{4},8
:
it
is not
to show any
; ;;; space provided.necessary
Each answer is worth
{2,8,6,7},c
4z''t
{
tbl _
Av$= {,1,t,3, b,+J
2,E,4,$,TI
(B.c)
!
z,rt, b(
2' List all of the sets (R,e,I,z,w,N)
that the forowing numbers
berong to:
a) 0.2
b)3
P, 8
(,r
")n
Q,q.t
d) -2
u)o
r(,
q,ilv-
3. Determine whether each
of the following statements
is Tlue or False:
T
T
")WuN:14t
b)0ee
c) 0e.n/
il
y'rae e
e)Qct
(iL
F
=
't
4. State whether the equations below are True or False for all real numbers:
a)' -lLml8n
2 : tm+6n
b) -8(r
- 2a): *82 -t 16s
r m,*5
't m*6-
r-r.
F
5
6
d) 72a: (-2a)(-6a)
r
5. Write each union or intersection as a single interval, if possible. If it
can't be written as a single interval, write the original interval in the space
provided. If the answer is the empty set, say so.
a) (-oo, -51 n [-7, -2)
b)
t*+,-s]
Eraanrt+l{
[8,
e) n 19,10]
er)
<hl
tt
t>
lo
eA4
Part B: For these questions, show your work.
Place your final answer in the
space provided. Each question is worth two points.
6. Evaluate the following expressions. Reduce any fractions to lowest terms.
a)
15
- el - lft(+)
= l-ql
lL+
-..t({}
a I * la
=
b)
lrt
-52+(+)-16+0.2
-}fXL -lb
o
- .2-
-fo
=
16o
=
-,m -&o
a:" -l3o
--l3o
c) 1.7(-0.7) + 0.1(26.4)
=
I,T
-l,tt t Z,b*
j q,+.
7- l,q'f
l,l
4
l.ttf
{
z,\il
-t.tt
l,+
{
e-
il \,@:@-$-4),
- (,f
-lL[
-+x k
*lrt
1:
L)
JF -m
L*
where
a:2,b: -!,,c: -3
c
tl(-r)- *a(il(-El
Il*
.6i-
r
tr2-fil
"' #
where 11
g,)
m
s -t(-f
?
-La
&
.
!o
-, v
-
-4, 12 : 6,At : 5raz : -15
-L
7. Simplify the expressions below. Your answers can be left in decimal forur.
A,1 1n
a) 10(0.03rn - c)+O.S(Zw*30c)
;
=
0' 3rn *
lrc* * 0,6 rn
* q&
O,1m -C
b) 5a(6a - 7) - 3a(10a - 4)
=
=
iof
- L3o,*
l*6
63-54n
t (rc -rtQn)
- d {*t-wn}
= 8*?n ' + + hn
?
-L3ar
- 3fi,r *3oo" +tto,
-r 56-49n
v)7
?
*1
I *r1