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solution1A

# solution1A - NOTE Be sure to bubble the answers to...

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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 humerq-l-or‘: 3X”Xz= “(g-ﬁ) ’ 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 Jim-ms- 5:555:56, .m Mimi's mums is... mas-mm 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); ’- ys-aﬁ 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”) " ; afﬁx-PU : _2 (Ex-92,993 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—xz-mZx The solution set is: . . {“13} ....... 8 @2. Factor completely: a) 2:51 — 32 . =~ 2. w- -:s) = 2. (KR-WW} a m -;;(X+Z;(xz+ W 16m3y—54y. = 2y(8x3~£;7) a gym” (whﬁsl 2y {lx*\$)( (N; + 233 +33") f; 2y (”“3” “L" “*5” deﬁes-em 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. lag-H1 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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