name class date algebra i staar practice test...
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1 Atavideostore,usedvideoscost$5.00andnewvideoscost$12.00.Whichequationbestdescribesthenumberofused,u,andnew,n,videosthatcanbepurchasedfor$58.00?
A 5u112n558
B 12u15n558
C 17(u1n)558
D 41(u1n)50
2 Whatisthey-valueofthesolutiontothesystemofequationsshownbelow?
5x22y5210 2x12y59
Recordyouranswerandfillinthebubblesonyouranswerdocument.
3 Seandoespet-sittinginthesummer.Hisnetprofit,p,isrepresentedbytheequationp512a2130,whereaisthenumberofpetshewatches.Whichisthebestinterpretationofthisinformation?
A Seanmadeaprofitof$130.
B Seanearns$12dollarsforeachpethewatchesandinitiallyinvested$130.
C Seanearns$130foreachpethewatches.
D Seanpaid$12togethispet-sittingbusinessstartedandhas130clients.
4 Sandyboughtxnotebooksandypencilsfor$9.77.Eachnotebookcost$1.95andeachpencilcost$0.49.Whichequationrepresentsthissituation?
F 9.7751.95x20.49y
G 9.7751.95x10.49y
H 9.7751.95y20.49x
J 9.7751.95y10.49x
5 Whichfunctionbestdescribesthedatainthetablebelow?
A y54x
B y54x11
C y52x
D y52x12
Algebra I STAAR Practice Test B
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x 1 3 5 7
y 5 13 21 29
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6 Garrettpurchasedxpoundsofbeefat$4eachandybagsofchipsat$3each.Hespentlessthan$30,notincludingtax.Usethegridbelowtographtheinequality4x13y,30.
y
O x
4
8
4–4
–4
–8
–8 8
WhichpointrepresentsareasonablenumberofpoundsofbeefandbagsofchipsthatGarrettmayhavepurchased?
F (2,8) H (5,3)
G (7,1) J (6,4)
7 Whatistheequationofthelinethatpassesthroughthepoints(2,3)and(5,6)?
A y5x13 C y52x13
B y5x11 D y52x11
8 Theownerofalandscapingcompanyusesthefunctiony535120xtodeterminethechargeforservice,whereyisthechargeandxisthenumberofhoursofservice.Whatdoesitmeanifthecompanychangesthefunctiontoy535125x?
F Theinitialcostforthelandscapingserviceincreasedto$25.
G Thetotalcostforlandscapingserviceincreasedto$25.
H Thecostperhouroflandscapingserviceincreasedto$25.
J Thenumberofemployeesatthelandscapingcompanyincreasedto25.
9 Howdoesthegraphofy52x2differfromthegraphofy52x223?
A Thegraphofy=2x223iswiderthanthegraphofy52x2.
B Thegraphofy52x223isnarrowerthanthegraphofy52x2.
C Thegraphofy52x223isshifteddown3unitsfromthegraphofy52x2.
D Thegraphofy52x223isshiftedup3unitsfromthegraphofy52x2.
10 Whichsituationcannotberepresentedalinearfunction?
F thenumberofwheelsonnbicycles
G thetotalcostofticketsat$10perticket
H thenumberofrightanglesinnrectangles
J thepopulationofbacteriathatdoubleseachday
11 Theexpressions8representsthevolumeofalargecube.Theexpressions3representsthevolumeofasmallcube.Whatistheratioofthevolumeofthelargecubetothevolumeofthesmallcube?
A s5
B s11
C s24
D s32
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12 Thefollowinggraphshowstherelationshipbetweentheforearmlengthandshoesizeofagroupofmathematicsstudents.
8 9 10 11 12
56789
1011
Forearm Length(inches)
Shoe
Siz
e(W
omen
's U
S)Forearm Length vs.
Shoe Size
Basedontheseresults,ifBethanyhasaforearmlengthof8inches,whichisthebestestimateofhershoesize?
F 11 H 7
G 9 J 5
13 Whichstatementistrueofthegraph?
y
O x
2
4
2–2
–2
–4
–4 4
A Thex-interceptsare0and3.
B They-interceptis1.
C Theminimumisatx52.
D Theminimumvalueis2.
14 Whichbestdescribestheeffectofshiftingthey-interceptofthisgraphdown3units,butkeepingthex-interceptthesame?
y
O x
2
4
2
–2
–4
–2–4 4
F Theslopeincreases.
G Theslopedecreases.
H Theslopedoesnotchange.
J Theslopechangessign.
15 Whataretherootsofthequadraticequation4x2 14x2850?
A 2and21
B 2and1
C 22and21
D 22and1
16 Ifthedomainofthefunctiony5x222is0,x,5,whatisthecorrespondingrange?
F 0,y,5
G 22,y,23
H 25,y,0
J 2,y,23
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17 Thegraphbelowbestrepresentswhichofthefollowingsituations?
y
Hei
ght (
feet
)
Time (min.)
25
75
0.5
50
125
100
1 1.5 2
A Anantcrawlsintoananthill.
B Apersonridesarollercoaster.
C Afamilydrivesthroughamountainousarea.
D Aracerrunsaone-mileracearoundatrack.
18 Thequadraticexpressionx222x28ismodeledbelowusingalgebratiles.
Whatisthegreaterofthetwosolutionstotheequationx222x2850?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
19 Whichequationbestrepresentsthearea,A,oftheparallelogrambelow?
3x + 4
x
A A53x214x C A53x214
B A54x14 D A57x2
20 Thefunctionf(x)51.85x212400representsthepopulationofacitywherexisthenumberofyearssince2000.Ifthistrendcontinues,whatwillbethepopulationin2015?Roundtothenearestwholenumber.
F 2428
G 2625
H 2816
J 4616
21 Thefunctiony560xrepresentsthecostofagymmembershipwherexisthenumberofmonths.Whatistherangeofthefunction?
A allrealnumbers
B allrealnumbersgreaterthanorequalto60
C allrealnumberslessthanorequalto60
D nonnegativemultiplesof60
22 Whatisthevalueofxif(x,1)isasolutiontotheequation2x2y512?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
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23 Whichequationbestdescribestherelationshipbetweenhoursofhomework(h)andthegradelevel(g)inthistable?
A g54h11
B h54g11
C g52h12
D h52g12
24 Thefunctionf(x)50.75xmodelstheweightinpounds,f(x),ofxcalculators.Whatistherangeofthefunction?
F allrealnumbers
G allwholenumbers
H allrealnumbersgreaterthan0andlessthan0.75
J allnonnegativemultiplesof0.75
25 Whichtypeoffunctionisgraphedbelow?
y
O x
2
2
–2
–4
–4 4
A quadratic
B exponential
C linear
D logarithmic
26 Whichequationbestrepresentstherelationshipshowninthetablebelow?
x 23 21 0 1
y 3 7 9 11
F y5x19
G y5x18
H y52x19
J y511x
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Hours of Grade Homework Level
0 1
0.5 3
1.0 5
1.5 7
2.0 9
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27 Intheequationy52x215x16,whatisthevalueforywhenxequals3?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
28 Whichexpressionisequivalentto(312c)4c21(2c)(2c213)?
F 6c2+6c+12
G 12c3+12c2+6c
H 12c3+6c2+12c
J 12c2+8c+10
29 Whatisthesolutionsetfortheequation5(4x23)2520?
A {54,214}
B {254,21
4}
C {54,14}
D {254,14}
30 Whichgraphshowsthesolutiontothesystemofequationsbelow?
2x14y50 3x1y525
F
y
O x
2
4
2–2
–2
–4
–4 4
G
y
O x
2
4
2–2
–2
–4
–4 4
H
y
O x
2
4
2–2
–2
–4
–4 4
J
y
O x
2
4
2–2
–2
–4
–4 4
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31 Whichequationbestrepresentsthelineonthegraph?
y
O x
2
2–2
–2
–4
–4 4
A 2y15x54
B y25x51
C 2y210x52
D y15x52
32 Thenumberoffishinalakewas250in2001.In2003,therewere310fish.Ifthenumberoffishcontinuestoincreaseatthisrate,whatisareasonableestimateforthenumberoffishinthelakein2009?
F 370
G 420
H 460
J 490
33 Thefunctiony5225x2300representsthedepthofasubmarineafterxminutes.Whatdoesthey-interceptrepresent?
A theinitialdepthofthesubmarine
B therateatwhichthesubmarinesubmerges
C therateatwhichthesubmarinetravels
D thefinaldepthofthesubmarine
34 Whichequationrepresentsthepatternshowninthetablebelow?
x 1 2 3 4
y 3 22 27 212
F y5x12
G y5x24
H y5–5x18
J y5–3x16
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35 Whatkindofcorrelationisshowninthedatainthetable?
x 2 4 6 8 10 12
y 2.5 0.5 0 21.5 24 23.5
A positivecorrelation
B negativecorrelation
C nocorrelation
D perfectcorrelation
36 Raulhas21rubberballs,whicharealleitherredorblue.Hehastwiceasmanyredballs,r,asblue,b.WhichsystemofequationscouldbeusedtocalculatethenumberofballsofeachcolorRaulhas?
F r1b5212b2r521
G r1b5212b2r50
H r1b5212b1r50
J r1b5212r2b50
37 Whatisthex-interceptofthegraphofthefunctionf(x)52x29?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
38 Thelinerepresentedbytheequationy5x21isshownbelow.
y
O x
2
4
2–2
–2
–4
–4 4
Whichofthefollowingbestdescribesthechangeifthelinebecomesy53x21?
F Thex-interceptincreases.
G They-interceptincreases.
H Thex-interceptdecreases.
J They-interceptdecreases.
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39 Amodelrocketwasfiredupwardataninitialspeedof50meterspersecond.Thefunctionh550t24.9t2showstherelationshipbetweenthetimeelapsedandtherocket’sheightabovetheground,wheretisthetimeinsecondsandhistheheightinmeters.Thegraphofthisfunctionisshownbelow.
42
25
0
50
75
100
150
125
8 10 126
Hei
ght (
met
ers)
Time (seconds)
Whatisthebestconclusionabouttherocket’smovement?
A Therocketreturnedtothegroundinabout10secondsafteritwasfired.
B Thespeedoftherocketwasgreatestatabout5secondsafteritwasfired.
C Therockettraveled100meters.
D Therocketneverreachedthegroundafterbeingfired.
40 Alocalmusicfestivaloffersadiscountforgroupticketsales.Thecostperticketandthenumberofticketspurchasedperorderformaninversevariation.Ifitcost$12perticketwhenpurchasing15tickets,howmuchdoesitcostperticketwhenpurchasing20tickets?
F $3
G $6
H $9
J $15
41 Thefunctionf(x)522x114,500representsthetotalelevationofamountainclimberafterxminutes.Whatdoesthesloperepresent?
A theinitialheightofthemountainclimber
B therateatwhichthemountainclimberdescends
C therateatwhichthemountainclimberascends
D thetotaldecreaseinelevation
42 Simplifythealgebraicexpression2(x13)(x23)23(x212x11).
F 2x216x217
G 2x226x221
H x216x121
J x226x117
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43 IfMarlicanjog3milesin24minutes,howlongwillittakehertojog5milesifshejogsatthesamerate?
A 1.6minutes
B 14.4minutes
C 40minutes
D 120minutes
44 Afunctionisdescribedbytheequationf(x)523x15.Thereplacementsetfortheindependentvariableis{1,3,5,7}.Whichsetisthecorrespondingsetforthedependentvariable?
F {1,3,5,7}
G {2,4,10,16}
H {21,23,25,27}
J {216,210,24,2}
45 Thefunctionf(x)545xmodelsthecost,f(x),ofpurchasesxvideogames.Whatisthedomainofthefunction?
A allrealnumbers
B allwholenumbers
C 0to45dollars
D allnonnegativemultiplesof45
46 Ataconveniencestore,agallonofmilkandabottleofwatercostatotalof$4.15.Thecostof4gallonsofmilkand3bottlesofwateris$14.60.Thefollowingsystemofequationsmodelsthissituation
m1w54.154m13w514.60
Whichstatementbelowdescribesthesolutiontothissystemofequations?
F Thereisnoreasonablesolutiontothissystemofequationsbecausethenumberofbottlesofmilkmustbeawholenumber.
G Thereisnoreasonablesolutiontothissystemofequationsbecausethenumberofbottlesofwatercannotbenegative.
H Thereisareasonablesolutiontothissystemofequations.
J Thissystemofequationhasnosolution.
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47 Jennycanspendnomorethan$7onschoolsupplies.Eachfolder,f,costs$0.50andeachpen,p,costs$2.Whichofthefollowinginequalitiesbestrepresentsthenumberoffoldersandpensshecanpurchase?
F 2p$712f
G 0.5f12p#7
H 2.5(f1p),7
J 0.5f$712p
48 Whatarethesolutionstothequadraticequationx21x2565 0?
F 28and7
G 27and8
H 1and256
J 21and56
49 Whatism,theslopeofthelinethatisshowninthegraphbelow?
y
O x
2
4
6
8
2 4 6 8
A 25
B 225
C 52
D 252
50 Amarketingcompanyusesthefunctiony514x18todeterminethecostofpurchasingxconcerttickets,whereyisthecostoftheticketandservicecharge.Whatdoesitmeanifthecompanychangesthefunctiontoy514x16?
F Thenumberofconcertticketssolddecreasedto6.
G Thetotalcostforconcertticketsdecreasedto$6.
H Thecostperconcertticketdecreasedto$6.
J Theservicechargedecreasedto$6.
51 Whichequationbestdescribesthegraphbelow?
y
O x
2
4
2
–2
–2–4 4
A y5–2x13
B y52x13
C y52x23
D y5–2x23
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52 Bobsold14magazinesubscriptions,foratotalof$740.Thecostofaone-yearsubscriptionis$40andthecostofatwo-yearsubscriptionis$70.Howmanytwo-yearsubscriptionsdidhesell?
F 5
G 6
H 7
J 8
53 Mrs.Austenhastworetirementaccounts.Inoneaccount,sheplaced$15,000.Thisaccountdecreasedinvalueby6.5%overthefirstyear.Inherotheraccount,sheplacedddollars,andthisaccountgained4%invalueinthefirstyear.Whichequationdescribesv,thetotalvalueofherretirementaccountsafterthefirstyear?
A v515,000(1.065)1d(0.96)
B v515,000(0.935)1d(1.04)
C v5215,000(1.065)2d(0.96)
D v515,000(1.065)1d(1.04)
54 Aprivatelessonforguitarcosts$20perlesson(l)plusanannual$15materialsfee.Whichequationrepresentsthetotalcost(c)ofprivatelessonsforoneyear?
F l520c215
G c520l115
H c520l215
J l520c115
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