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Unformatted text preview: NOTE: Be sure to bubble the answers to questions 1 through 20 on
your scantron. Part I: 2 points each In problems 1 through 5 indicate Whether each of the following statements
is true or false. 1. \/g is an integer. b. False 2. Ifa < 0, then faI = —a,. as us
b. False 3. If :2: is a real number, then m I lx + 3.
i a a a s: w a 6. Which of the following is equal to 0? a l—3—l—3ll = i—swzi .= legis— é
mﬁoﬂaﬁ‘neaf 7. The equation 3 ‘ (a:  y) = (3  ac)  3,; illustrates which property of the
real numbers? a. rThe commutative property of multiplication. b. The distributive property. 9. Find the solution set of the equation 333:; z 0.
2
a. {0, 3} denomk‘mlor : x1“ at at? 49"” j
b {3} so X a? 3 humerqlor‘: 3X”Xz= “(gﬁ) ’
So x :0 {Q5K#3) 10. Which expression equals 51/2 51/3 51/6 7’ .. ssﬁsgs
‘a.3\5/5f st; ss g, $6: 75% B. If ac 2' 7%, then 3:2 is a rational number;  ¢ '
C. The statement that the ﬂames between 3: and 4 is less than 2 umts WW: M13 Jimms 5:555:56, .m Mimi's mums is... masmm
can be written as [3; —w 2[ < 4. ' ls s is; sf 4;}; a. A, B and C A ;  K
b. A only ' ' 33's ' 34% s; ﬁgs [95%; mﬁlgs ﬁrm
c. A and B only . ' Mil only I
e. B and C only 12. Evaluate: 13. Evaluate and write in scientiﬁc notation: . 4 _
M _ M, {ﬁg
 9 X 10—2 «a» gage.
a. 0.3 x 102  _ 61. x ﬁwg ,. :
b. 0.3 'x 106‘ _ ”Is Q a {it
m it yr get "e 3x107_ 14. A ladder is a — 10 feet long and 1eans against a Wall It
touches the ﬂoor at distance 0126 feet from the wall. What 1s the height h at which the ladder touches the Wall? 15 Perform the fol1oWing operation 2 +. 1 ,
—2.’E—3 332+4zt+37 (were 1)  % 16. Factor completely: 4(33: — 2)2 + 8(32: — 2X12: — l) . ' _
a. 4(333 W 2)2(2:c — 1) 3'??? eﬁmgf‘wm ‘5” gggwééf
(3x —'2)(5m — 4) _ 5% lg; {35% $4M mg m of
o. 4(33: — 2)(4$ — 3) . _ '
' d. 4:1:(3x 4— 2)2 e. 8(32: — 2X33 — 1) 17. Rationalize the denominator: «ﬁn/T
2x/E—x/ﬁ' m mmawmmau “WM #355 .W ‘Hr'ﬁ‘hnmi “win 8'. I. 18. Solve the following formula for h S— — 27TTh —l— 27rr2 ‘ _ _ E W
m“; Q‘W'E‘: ﬁe“ ggagf Wmmwmwmu‘ﬁmmaWsﬂ £3.“me 19. Simplify the following expression: 3 16$7y2z’3 !— \3/543343/5 26
5: 3f 3'3 f l' 3¢g7x3 fax
a. M23: + 39:2)13/2cc4y2 3x13 a; 2x); ’ ysaﬁ 7 3"”_V
b' yz(8x+3mlW ” axle Wat 3 say:21 Maﬁa
c. z(2:13 + was/W (4.5, mmeieﬁm a. a. 3 2;:
d $32 3(8133 +27y3’2 33)«./2:I:y2 5 (2% % +33%”? I) Viz"?
z(2m+ 3yz)\3/Ey_2 w xe {2x a; 3&3) W 20. (Bonus!) Simplify and write as single quotient With only
positive exponents: 3(3$+ 2)_1/23:1/2 —— (336 l 2)1/2:13 “1/2.
./ .
a. 3 (SM‘Z) a" “a {3" 7" 3"”) b. 4(3m+2)1/2561/2 ; a 3x + 2— 2 +1 V2. V2
rang—ém m”) " ; afﬁxPU :
_2 (Ex92,993 X {a
(33+2—)1/2$1/2 e. MAC 1140, Test 1 A, Part II
Summer 2007 Section number: Name:
UF ID: Signature: SHOW ALL WORK TO RECEIVE FULL CREDIT! 1. Solve the equation 1 8 _a:+2
m 252—332_$—2'
(3”? J; ___ 6' : N1”;
x xm—x} as"; j 33 x$0 MJX$Z Am a; denamg'naﬁms . Mia—x}
i. .._.. g _ x+2 , ....
X xﬂ—x} ' x"Z. i K‘Iz A)
.. 22'“
$9 2"X ~— 8 "m (SWZJX m
“‘31;
«:29 mxmé gu—xzmZx The solution set is: . . {“13} ....... 8 @2. Factor completely:
a) 2:51 — 32 .
=~ 2. w :s) = 2. (KRWW} a m ;;(X+Z;(xz+ W 16m3y—54y.
= 2y(8x3~£;7) a gym” (whﬁsl
2y {lx*$)( (N; + 233 +33") f; 2y (”“3” “L" “*5” deﬁesem win 661% (2"); _ 33
3. Solve for a? by completing the square only!!! $2+6mw920. c=> 314.5,; ==' 3 ‘ i+3£ {as 6&2'3)
(a) xa+éx+3a’ ‘3' ﬁfga
6:3? (x+3)z$ «’3 m7 ' as We? =V3‘: «:35
es) 9: 4. g g: mm? /
(#9 x 5.. —3i\;!§12~3+3v; 9 4. Perform the following long division and identify quotient and remain
der: 49:4 — 23:2 + 33—i 3 divided by :32 + a: + 1. 10 5. The side length of a big square is 1 inch smaller than twice the side
length of a small square. The area of the big square is 23 square inches
smaller than four times the area of the small square. What is the side length of the small square? Set up an equation and
solve it! Lew‘ a 53 #se side/tang”: 4%ééaw;
get é he +353 stag. lagH1 q? WaSma/i Waste. as) 9.52 ~23 a a?“ w {as"103‘: #éa"9é9'1
{2.} (I) we: aga «£3 = Qézwgéé/ w) ._, a3 a “'95 'H «=3 « as = "’95 we») 51% “‘3‘ 2‘? a r .1. a; a 6 ...
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 Summer '08
 WILLIAMSON
 Calculus, Algebra

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