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