nesa-m practice packet #2 name 1. what does the...
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NeSa-MPracticePacket#2 Name________________________MultipleChoice:Choosethebestanswerandmarkitonthebubblesheet.1. Whatdoesthenumber58representinthebox-and-whiskerplot? A.Upperextreme B.Upperquartile C.Lowerquartile D.Median2. Thefunctionrule y = 2x −1 relatesxandyinwhichsetoforderedpairs? A. 1, 3( ), 2,5( ), 8,9( ) B. 0,−1( ), 2, 3( ), 3,5( ) C. 1,1( ), 3,2( ), −1,0( ) D −1,−3( ), 0,1( ), 2,5( )3. Arecipecallsfor2eggstomake12pancakes.Youwereaskedtomake50pancakes.Howmanyeggs
willyouneedtousetomeetthisrequest? A.8 B.9 C.25 D.404. Whenattendingtheschoolplay,studentsareallowedtoorderonesnackandonedrinkatthe
concessionstand.Studentscanchooseasnackofpopcorn,nachos,acandybar,orahot-dog.Foradrinktheycanchooseabottleofsoda,water,orjuice.Ifallchoicesareequallylikely,whatistheprobabilitythatarandomlychosenpersonordersnachosandabottleofwater?
A.
B.
C. D.
5. Simplifytheexpression:!"!
!+ !!
!
A.!!! B.!"!
!" C.!"!
!" D.!"!
!
!"
6. Whichdecimalisgreaterthan!
!?
A.0.0053 B.0.35 C.0.4 D.0.677. Acoffeeshopoffersasouvenirceramicmugfilledwithcoffeefor$8.95.Afterthat,eachrefillcosts$1.50.
Salemspent$26.95onamugandrefillslastmonth.Choosetheequationthatcouldbesolvedtofindthenumberofrefills(r)thatSalemboughtlastmonth.
A. 8.95+ 1.50 𝑟 = 26.95 B. 1.50𝑟 + 8.95 = 26.95 C. 26.95+ 8.95 = 1.50𝑟 D.8.95− 1.50𝑟 = 26.95
212
112
27
17
8. Thetotalcosttojoinaswimclubis$1200ayear.Thecostincludesaninitiationfeeof$150thatisduebeforeyoucanusethepool.Theremainderofthecostiscoveredwith12monthlypayments.Choosetheequationthatcouldbesolvedtofindtheamountofeachmonthlypayment(m).
A. 1200+ 12 = 150𝑚 B. 1200+ 150− 12𝑚 C. 1200 = 12𝑚 + 150 D.1200 = 12𝑚 − 1509. Whichgraphrepresentsthesolutionstotheinequality − !
!𝑥 < 1 !
!
A. B.
C. D. 10. Whatistheareaoftherectangletotheright? A. 24.59 ft2 B. 245.9 ft2 C. 98.9664 ft2 D.989.664 ft211. Completethestatementusing<,>or=.Justifyyouranswers. 8.04×10!! 9.17×10!! A.< B.> C.= D.Valuescannotbecompared12. Solvethesystemofequations 3x + 2y = 0 −2x −3y = −15 A.(3,–7) B.(–3,7) C.(6,–9) D.(–6,9)13. Sharonhassomefive-dollarbillsandsometen-dollarbills.Shehas14bills.Thevalueofthebillsis$90.
Whichsystemofequationscanbeusedtofindthenumberof
€
f five-dollarbillsand
€
t ten-dollarbills?
A.
€
f + t = 14f + t = 90
B.
€
f + t = 145 f +10t = 90
C.
€
f + t = 905 f +10t = 14
D.
€
5 f +10t = 905 f +10t = 14
14. Arectanglehasaperimeterof72inches.Thelengthis3inchesmorethantwicethewidth.Whatisthe
lengthoftherectangle? A.11inches B.17inches C.25inches D.39inches
19.52 𝑓𝑡
5.07 𝑓𝑡
15. Darrenpays$4.10for4packagesofgumand2bagsofcandy.Darlapays$3.85for2packagesofgumand5bagsofcandy.Findthecostofapackageofgumandabagofcandy.A.Gum:$1.15;Candy:$0.45 B.Gum:$1.18;Candy:$0.30 C.Gum:$0.80;Candy:$0.45 D.Gum:$0.80;Candy:$0.30
16. Simplifycompletely: x5 • x−5
A.0 B.1 C. x−25 D. 2x−25
17. Simplifycompletely: 3x−2y( )3
A.9y3
x6 B.9x
6y3 C.27y3
x6 D.27x6y3
18. Simplifycompletely: 12x6y7
3x2y−1
A. 4x
4y8 B. 4x4y6 C. 9x
4y8 D. 9x3y6 19. Intheyear2000,youboughtacarfor$15,250.Eachyearthevalueofthecardepreciatesby15%.
Whatwastheestimatedvalueofyourcarintheyear2005? A.$2287.50 B.$3812.50 C.$5751.53 D.$6766.5120. Whichmodelbestrepresentstheexponentialgrowthcurveshowninthegraph?
A. y = 25(1.5)− t B. y = 25(1.5)t C. y = 25(0.9)− t D. y = 25(0.9)t
21. Thestartingsalaryforanewemployeeis$25,000.Thesalaryforthisemployeeincreasesby8%per
year.Findthesalaryoftheemployeeafter5years. A.$25,000.08 B.$36,733.20 C.$41,122.75 D.$135,000.0022. Simplify: 5x2 −3x −10( )− 2x2 − x + 7( )
A.3x2 − 2−3 B.3x2 − 2x −17 C. 3x2 − 4x −17 D.3x2 − 4x −3
0 25 50 75
100 125 150 175 200
0 1 2 3 4 5 6
23. Multiplyandsimplify: 2x − 5( )2
A.4x2 − 20x + 25 B.4x2 −10x + 25 C. 4x2 − 25 D.4x2 + 25 24. Factorthepolynomial6x3 − 27x2 − 54x completely.Whichchoicebelowisoneofthefactors?
A.x + 6( ) B.
2x + 3( ) C. x − 9( ) D.6x
25. Whichgraphrepresentsthefunction f (x) = x2 − 2 ? A. B. C D.26. Whichofthequadraticfunctionshasthewidestgraph?
A. f (x) = −3x2 +1 B.
f (x) = − 12x2 +1
C. f (x) = x2 +1 D. f (x) = 4x
2 +127. Solvetheequation:10x2 − 7x = 12 A.x=-8,15 B.x=0.8,-1.5 C.x=-0.8,1.5 D.NoSolution
28. Simplify:3 5 − 5 2 + 6 5 A.4 7 B.4 5 − 5 2 C.9 5 − 5 2 D.4 12
A. B. C. D.
29. Whichgraphrepresentsalinearfunction? A. B. C. D.30. Whichtablerepresentsaquadraticfunction?
31. SolveforC:F = 9
5C + 32
A.C =
59F − 32
B.C =
59
!"#
$%&32 − F
C.C =
59F − 32( )
D.C =
95F − 32( )
32. Apackagedeliverycompanyhasdeterminedthattheycanmeettheirschedulesiftheyhave4drivers
forevery30squaremilesofareatheycover.Iftheywanttoofferservicetoacountyof75squaremiles,howmanydriversmusttheyhave?
A.9drivers B.10drivers C.15drivers D.18drivers
33. Solve:13− x6
=4 − x8
A.-64 B.-40 C.40 D.64
x y2 53 84 115 146 17
x y-2 0.25-1 0.50 11 22 4
x y0 -51 -32 -13 14 3
x y-1 60 31 22 33 6
34. Solve:-3x+2≥7
A.
€
x ≤ −53 B.
x ≥ − 5
3 C.
€
x ≤53 D. x ≥ 5
3
35. Aftertaxes,youearn$5.50perhouratyourjob.Youaresavingtobuyanewcellphonethatwillcost
atleast$150.Usinghasthenumberofhoursworked,whichinequalityrepresentsthissituation? A.h+5.50≤150 B.h+5.50≥150 C.5.50h≤150 D.5.50h≥150
36. Solve: 2d + 3 = 17 A.d=7andd=-7 B.d=7andd=-10 C.d=7andd=10 D.d=10andd=-10
37. Choosethegraphthatdoesnotrepresentafunction. A. B. C. D.38. Choosethecorrectgraphofthefunction
€
f (x) = x −1.
A. B. C. D.
39. Whichofthefollowingbestdescribestheslopeofthelinebelow?
A.zeroslope B.positiveslope C.negativeslope D.undefinedslope
40. In1990,amovieticketcost$3.50.In2000,amovieticketcost$6.00.Findtheaveragerateofchange
forthepriceofamovieticketindollarsperyear. A.$0.25/year B.$0.35/year C.$0.60/year D.$0.95/year
41. Thegrocerystoresellspeppersfor$2.25perpoundandsellstomatoesfor$1.50perpound.Choose
thecorrectequationinstandardformmodelingtheweightsofpepperspandtomatoestthatacustomercouldbuywith$18.
A.
€
2.25t +1.50p = 18 B.
€
2.25p +1.50t = 18 C.
€
2.25p = 1.50t +18 D.
€
2.25 +1.50 = p42. Supposeyouspinthepointerofthespinnerbelow100times.Outof100spins,thearrowlandsonthe
letter“P”23times.WhatistheexperimentalprobabilityofthepointerNOTlandingontheletter“P”?
43. Inawordgame,youchooseatilefromabag,replacedit,andthenchoseanother.Ifthereare21vowelsand15consonants,whatistheprobabilityyouwillchooseaconsonantandthenavowel?
A.
€
358 B.
€
354 C.
€
35144 D.
€
136
44. Giventhat
€
f (x) = 4x − 2 and
€
g(x) = −2x +1.Find
€
f (5)g(−3)
.
A.
€
159 B.
€
2 47
C.-2 D.2
y
x ● ●
A.
B.
C.
D.
45. Whichofthefollowingisagraphof y =52x − 2?
C. 46. Choosethecorrectgraphoftheinequality: 4x − 2y < −3 A. B. B.47. Youaresolvingasystemoflinearequationsandgetananswerof0=-10.Describethesolutionstothe
system. A.infinite B.one C.imaginary D.none
-5 5
-5
5
-5 5
-5
5 -5
5
5
-5 -5 5
-5
5
D.
B. A.
C. D.
48. Agroupof52peopleattendedaballgame.Therewerethreetimesasmanychildrenasadultsinthegroup.Setupasystemofequationsthatrepresentsthenumbersofadults(a)andchildren(c)whoattendedthegame.
A.
a + c = 52a = c + 3!"# B.
a + c = 52a = 3c!"#
C.
a + c = 52c = a + 3!"# D.
a + c = 52c = 3a!"#
49. Solvethesystemofequationsandthenfindthevalueofx+y.
€
3x + 2y =144x +10y =15" # $
A.9.5 B.4.5 C.5.5 D.4.8350. Writeinstandarda+biform: 6 + 2i( ) − −3+ 5i( )
A.9–3i B.9+7i C.3–3i D.3+7i51. Writeinstandarda+biform: 2 + 5i( ) −1+ 5i( )
A.23+ 5i B.−27 + 5i C.−2 + 25i D.−2 + 5i 52. Whatistheremainderwhen
€
x2 − 5x + 7 isdividedby
€
x +1? A.13 B.1 C.-1 D.-13 53. Whatisthequotientof x4 − x2 + 2x −16( ) ÷ x − 2( )?
A. x3 − 2x2 + 3x − 4 R 24 B.
€
x3 + 2x2 + 3x + 8
C. x2 + x + 4 R 24 D. x
2 − 3x + 8 54. Apolynomialwithrealcoefficientshas3,2i,and–iasthreeofitszeros.Whatistheleastpossible
degreeofthepolynomial? A.3 B.4 C.5 D.655. Whichnumberisarootof
€
f (x) = x3 + 6x2 + 9x thathasamultiplicity1? A.-3 B.0 C.1 D.356. Doesthefollowingquadraticfunctionhaveamaximumorminimumandwhatisthevalueofthe
maximumorminimum:
€
f (x) = x2 − 4x +11 A.maximum;7 B.minimum;2 C.minimum;7 D.maximum;2
57. Solve: x − 5( )2 = 49 A.
€
x = 74 or x = − 74 B. x = −2 or x = 2 C. x = −12 or x = 2 D. x = −2 or x = 12 58. Ifthegraphof
€
y = x2isshifted4unitstotherightandtwounitsdown,whatistheequationofthenewgraph?
A.
€
y = (4x)2 − 2 B.
€
y = (4x)2 + 2 C.
€
y = (x + 4)2 − 2 D.
€
y = (x − 4)2 − 259. Determinetheendbehaviorofthegraph:
A.
€
limx→−∞
f (x)⇒−∞
limx→+∞
f (x)⇒−∞ B.
€
limx→−∞
f (x)⇒−∞
limx→+∞
f (x)⇒ +∞
C.
€
limx→−∞
f (x)⇒ +∞
limx→+∞
f (x)⇒−∞ D.
€
limx→−∞
f (x)⇒ +∞
limx→+∞
f (x)⇒ +∞
60. StantheHotDogMansells100hotdogsperdayfor$2each.Hisdailyrevenueis$200.Heestimates
thatforevery25centsheincreasesthepriceofahotdog,hewillsell5fewer.WhatisthemaximumrevenuethatStancanearn?
A.$235 B.$240 C.$245 D.$25061. Onabookshelf,thereare5fictionand4nonfictionbooks.Paulrandomlyselectsone,putsitback,and
thenrandomlyselectsanother.Whatistheprobabilitythatbothselectionswerefictionsbooks?
A.8110
B.8120
C.8116
D.8125
62. Determinewhetherthegiveneventisindependentordependent.Thenfindtheprobability.There
are3peanutbutterand4vegetablesandwichesinatray.Dennischooses3ofthematrandomforhissiblings.Whatistheprobabilitythathechooses2vegetablesandwichesoneafteranother,andthen1peanutbuttersandwich?
A.dependent;356 B.independent;
73 C.dependent;
635
D.independent;72
6
4
2
-2
- 4
- 6
- 5 5 10 15
55
60
65
70
75
80
85
90
63. Eachletterofthealphabetiswrittenonadifferentpieceofpaper.Thesepiecesofpaperarefoldedandkeptinabag.Onefoldedpaperisdrawnatrandomfromthisbag.Whatistheprobabilityofselectingavowel(a,e,i,o,u)oraletterfromthewordCOMPUTER?
A.135 B.
21 C.
269
D.2611
64. Aspinnerisnumberedfrom1through10witheachnumberequallylikelytooccur.Whatisthe
probabilityofobtaininganumberlessthan2orgreaterthan7inasinglespin?
A.52 B.
21 C.
25 D.
103
65. Atotalof25studentswillbecomingtotheend-of-yearpicnic.Inhowmanywayscantheteacherselect7studentsfortheclean-upcrew?
A.2,422,728,000 B.303,600 C.480,700 D.766. Apythonbreedermeasuresthelengthof60pythons.Theyhaveameanof26incheswithastandard
deviationof3inches.Ifthedataisnormallydistributed,whatpercentofthepythonsareover32inches?
A.50% B.97.5% C.16% D.2.5%67. Determinethetypeofdistributiontotheright:
A.NormallyDistributed B.NegativelySkewed C.PositivelySkewed D.NotSkewed
68. Whatconclusionscanyoumakeaboutthebox-and-whiskerplotsbelow?
A.ThemedianforBisgreaterthanthemedianforA. B.ThereismorevariabilityinBthanA. C.ThereismorevariabilityinAthanB. D.Bothaandb.
69. Write
€
(8a−6)−23
A.
€
a4
4 B.
€
14a4
C.
€
4a4 D.Noneofthese
70. Simplifycompletely.
€
90x18
2x
A.
€
5x 3x8 B.
€
18x17 C.
€
3x8 5x D.
€
3x9
x
71. Solveforx. 8432 =++− x
A.x=32 B.x=-32 C.332
=x D.3104
−
72. Solvefory. 227)1(5 31
=++y A.y=0 B.y=2 C.y=26 D.y=-28
73. If 53)( 2 −+= xxxf and 13)( += xxg ,find ))(( xgf
A.9x2+15x-1 B. 1129 2 −+ xx C. 1493 2 −+ xx D. 512103 23 −−+ xxx
74. Findtheinverseof 14)( 3 +−= xxf
A. ( ) 14)( 31 −+=− xxf B. 41)( 31 +−=− xxf C. 41)( 31 −+=− xxf D. 4)1()( 31 +−=− xxf
75. Choosethefunctionthatrepresentsexponentialdecay.
A. ( )xy 61001
= B. 21
4xy = C.x
y !"
#$%
&=8112 D.
x
y !"
#$%
&=342
76. Solve 2734 5 =+ xe
A.0.4074 B.2.0369 C.0.4394 D.0.176977. Jandeposits$2000inanaccountthatpays5%annualinterestcompoundedcontinuously.Whatisthe
balanceafter3years? A.$8963.38 B.$2323.67 C.$6750.00 D.$2315.25
78. Choosethegraphofthefunction.
€
y = x + 3 A. B. C. D.
79. RayIndustriesboughtatouchscreenmonitorfor$1200.Itisexpectedtodepreciateatarateof25%
peryear.Whatwillthevaluebein3years? A.$142 B.$900 C.$506 D.$2340
80. Choosethegraphofthefunction.
€
y = − x − 33 + 4 A. B. C. D.
81. Whichexponentialfunctionismodeledbythegraph?
A.
€
y = 0.5(2)x B.
€
y = 2(0.5)x C.
€
y = (2 ⋅0.5)x D.
€
y = 2(5)x 82. Solve )73(log)15(log 33 +=+ xx
A.x=3 B.x=6 C.x=4 D.x=2783. Evaluatethefourdecimalplaces: 9log5
A.0.4120 B.1.3652 C.0.7325 D.2.427084. Alandscaperisdesigningawallmadeofwhitebricks.Thepatternconsistsof130bricksinthebottom
row,110bricksinthesecondrow,and90bricksonthethirdrow.Howmanybrickswillthe6throwhave?
A.10 B.23 C.30 D.80