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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 77
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1 Whatisthevalueofxif(x,4)isasolutiontotheequation3x12y514?
A 2 C 4
B 3 D 5
2 Intheequationy5x212x15,whatisthevalueforywhenxequals3?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
3 Whichfunctionbestdescribesthedatainthechartbelow?
A y54x
B y54x11
C y52x
D y52x1 2
4 Sammowslawnsinthesummer.Hisnetprofitforthesummer,p,isrepresentedbytheequationp 5 15m 2 250,wheremisthenumberoflawnshemows.Whichisthebestinterpretationofthisinformation?
F Sammadeaprofitof$235.
G Sammadeaprofitof$250.
H Samearns$250perlawnmowed.
J ItcostSam$250togethislawnmowingbusinessstarted.
5 Aplumbercharges$25foraservicecalland$15perhourforrepairs.Sheusesthegraphbelowtohelpdeterminehercostsforrepairsthattakevaryingamountsoftime.
y
O x
20
40
60
80
2 4 6 8
Time (hours)
Afteroneyear,shedecidestoincreaseherinitialservicefeeto$30.Sheneedstoupdatehergraph.Whichstatementabouthergraphwillbetrue?
A Theslopewillbesteeper.
B Theslopewillbelesssteep.
C They-interceptwillmoveawayfromtheorigin.
D They-interceptwillmovetowardtheorigin.
6 Adancestudiocharges$35permonthplusanannual$10registrationfee.Whichequationrepresentsthetotalcost,c,oftheclassform months?
F c535m210
G c535m110
H m535c210
J m535c110
Algebra I STAAR Practice Test A
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x 1 3 5 7
y 4 8 12 16
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78 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice
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7 Thequadraticfunctionbelowmodelstheprofitacompanymakesbasedonthequantityofitemsitsellstocustomers.
y
O x
10
20
30
40
2 4 6 8
Number of Items Sold
Pro
�t (h
undr
eds)
Whatisthegreatestprofitthecompanycanmakebasedonthesaletheseitems?
A $3.50 C $34
B $8 D $40
8 Ticketstoaschoolsoccergameare$3foradultsand$2forstudents.Theequation3x 1 2y 5 2050modelsthenumberofstudentsatthegamewhen$2,050wastakeninfromticketsales.Whatdoestheslopeof32meaninthissituation?
F Theratioofthenumberofadultsatthegametothenumberofstudentsatthegame.
G Theratioofthenumberofstudentsatthegametothenumberofadultsatthegame.
H Theratioofthecostofoneadulttickettothecostofonestudentticket.
J Theratioofthecostofonestudenttickettothecostofoneadultticket.
9 Thenumberoffishinalakewas650inJanuary.InMarch,therewere570fish.Ifthenumberoffishcontinuestodecreaseatthisrate,whatisareasonableestimateforthenumberoffishremaininginSeptember?
A 490 C 330
B 440 D 290
10 Solvetheequation4e 2 5 1 2e 5 e 1 3 2 2efore.
F 7 H 87
G 278 J 5
11 Whichofthefollowinggraphswouldbestrepresenttherelationshipbetweenthediameterandtheareaofacircle?
A
Area vs. Diameter
of a Circle
DiameterA
rea
B
Area vs. Diameter
of a Circle
Diameter
Are
a
C
Area vs. Diameter
of a Circle
Diameter
Are
a
D
Area vs. Diameter
of a Circle
Diameter
Are
a
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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 79
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12 Howwillthegraphofy55x2beaffectedifthecoefficientofx2becomes25?
F Thegraphwillbecomewider.
G Thegraphwillbecomenarrower.
H Thegraphwillbereflectedacrossthey-axis.
J Thegraphwillbereflectedacrossthex-axis.
13 AtColson’sDiscountBookstore,paperbackscost$4.50eachandhardbackscost$8.00each.Whichequationbestdescribesthenumberofpaperbacks,p,andhardbacks,h,thatcanbepurchasedfor$65.00?
A 8p14.5h565
B 4.5p18h565
C 12.5(p1h)565
D 65(p1h)512.5
14 Thefunction f(x) 5 60 1 10xrepresentsatestscore,f (x),ofastudentstudyingxhoursforatest.Thestudentstudiesfornomorethan3hours.Whatistherangeofthefunction?
F 0#x#3
G 0#x#60
H 0#f (x)#3
J 60#f (x)#90
15 Afunctionisrepresentedinthemappingdiagrambelow.
1
2
3
x y
3
5
7
4 9
WhichofthefollowingisNOTanothercorrectrepresentationofthisfunction?
A Therangeis{3,5,7,9}andy 5 2x 1 1.
B Thedomainis{1,2,3,4}andtherangeis{3,5,7,9}.
C xisapositiveintegerlessthan5andy 5 2x 1 1.
D {(1,3),(2,5),(3,7),(4,9)}
16 Whichdescribestherangeofthefunctionwiththegraphshownbelow?
y
O x
2
4
–2
–4
–6 –2–4
F y$0
G y$25
H x$26
J y$26
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17 Whichequationbestdescribesthegraphbelow?
y
O x
2
4
2
–2
–4
–2–4 4
A y523x
B y5213x
C y53x
D y513x
18 Whatisthex-interceptofthefunctionf(x)52(x25)?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
19 Solvetheequation2x1325x53x152xforx.
A 225
B 252
C 2
D 3
20 Forafundraiser,theMathClubsoldaticketforeachsquareyardofafootballfield.Theyrandomlyselectedonesquareyardfromthefieldtofindoutthewinnerofa$5000prize.Ifthefunctionp(x)55x25000givestheprofitfromthesale,whichstatementbestinterpretstheslopeofthisfunction?
F TheMathClubsold5tickets.
G TheMathClubsold5000tickets.
H TheMathClubsoldticketsfor$5each.
J TheMathClubsoldticketsfor$5000each.
21 Arelationisgivenbytheorderedpairs{(24,9),(22,0),(0,23),(2,4),(4,21)}.Whatisthedomainoftherelation?
A {…,24,22,0,2,4,…}
B {24,22,0,2,4}
C allevenintegersandtheiropposites
D allrealnumbers
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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 81
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22 Johnplantstreesforaliving.Hehasweeklyexpensesof$425plusanadditional$35foreachtree.Ifhecharges$120foreachtreeheplants,howmanytreesdoeshehavetoplanteachweekbeforehecanmakeaprofit?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
23 Thefollowingscatterplotshowstherelationshipbetweentheforearmlengthandshoesizeofagroupofmathematicsstudents.
8 9 10 11 12
56789
1011
Forearm Length(inches)
Shoe
Siz
e(M
en's
US)
Forearm Length vs.Shoe Size
Basedontheseresults,ifJimhasaforearmlengthof11inches,whichisthebestestimateofhisshoesize?
A 12 C 6
B 8 D 4
24 Thefunction f(x) 5 9.75xrepresentsthetotalcost, f(x),forxticketstoamovie.Whichstatementistrueifthefunctionchangesto f(x) 5 10.25x?
F Thetotalcostincreasedfrom$9.75to$10.25.
G Thetotalcostdecreasedfrom$10.25to$9.75.
H Thecostforeachmovieticketincreasedfrom$9.75to$10.25.
J Thecostforeachmovieticketdecreasedfrom$10.25to$9.75.
25 Thelinerepresentedbytheequationy 5 2x 1 2isgraphedbelow.
y
O x
2
4
2–2
–2
–4
–4 4
Whichofthefollowingbestdescribesthechangeinthegraphifthelinebecomesy 5 21
2x 1 2?
A Thex-interceptincreases.
B They-interceptincreases.
C Thex-interceptdecreases.
D They-interceptdecreases.
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82 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice
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26 Amodelrocketwasfiredupwardataninitialspeedof60meterspersecond.Thefunctionh 5 60t 2 4.9t2showstherelationshipbetweenthetimeelapsedandtherocket’sheightabovetheground,wheretisthetimeinsecondsandhistheheightinmeters.Thegraphofthisfunctionisshownbelow.
42
50
0
100
150
200
300
250
8 10 126
Hei
ght (
met
ers)
Time (seconds)
Whatisthebestconclusionabouttherocket’smovement?
F Thespeedoftherocketwasgreatestatabout6secondsafteritwasfired.
G Therockettraveled180meters.
H Therocketreacheditsmaximumheightinabout6seconds.
J Therocketreturnedtothegroundinabout6seconds.
27 Amovietheatersoldatotalof205ticketstoamovie,foratotalof$1621.Adultticketswere$9andstudentticketswere$5.Whatwasthenumberofstudentticketssold?
Recordyouranswerandfillinthebubblesonyouranswerdocument.
28 Whichbestdescribesthecorrelationshowninthescatterplotbelow?
y
O x
8
16
24
32
2 4 6 8
Time (Days)
Liq
uid
in C
onta
iner
(G
allo
ns)
F absolutecorrelation
G negativecorrelation
H positivecorrelation
J nocorrelation
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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 83
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29 Whichequationbestrepresentsthearea,A,ofthetrianglebelow?
2x12
x
A A5(2x12)1x
B A5(2x12)x
C A512(2x12)x
D A5(2x12)2x
30 Afunctionisdescribedbytheequationf(x)52x13.Thereplacementsetfortheindependentvariableis{2,4,6,8}.Whichsetisthecorrespondingsetforthedependentvariable?
F {4,8,12,16}
G {2,4,6,8}
H {1,5,9,13}
J {7,11,15,19}
31 Whatarethex-interceptsofthegraphoftheequationy 5 x2 1 3x 2 10?
A x 5 22,x 5 25
B x 5 22,x 5 5
C x 5 2,x 5 5
D x 5 2,x 5 25
32 Whichbestdescribestheeffectofshiftingthey-interceptofthisgraphup3units,butkeepingthex-interceptthesame?
y
O x
2
4
2
–2
–4
–2–4 4
F Theslopeincreases.
G Theslopedecreases.
H Theslopedoesnotchange.
J Theslopechangessign.
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33 Thetablebelowshowstherelationshipbetweenthenumberofbusesintheschoolparkinglotandthenumberofstudentsonthosebuses.
Whatdoestheslopeofthelinecontainingthesepointsrepresent?
A thenumberofstudentsonanemptybus
B thenumberofstudentseachbuscanhold
C thenumberofbusesusedbytheschool
D thenumberofstudentsattheschool
34 Whataretherootsofthequadraticequation2x2 16x22050?
F 2and5 H 22and5
G 2and25 J 22and25
35 Whichtypeoffunctionisgraphedbelow?
y
O x
2
4
2–2
–2
–4
–4 4
A quadratic
B exponential
C linear
D logarithmic
36 Thequadraticexpressionx21x212ismodeledbelowusingalgebraictiles.
Whatarethesolutionstotheequationx21x21250?
F x523andx524
G x53andx54
H x53andx524
J x523andx54
37 ThedistanceDougtravelsisdirectlyrelatedtotheamountoftimehetravels.Dougtravels168milesataconstantratefor3hours.HowmanyhourswillittakeDougtotravel392milesatthesamerate?
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Number of Number of Buses, x Students, y
1 25
2 50
3 75
4 100
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38 Whatistheequationofthelinethatpassesthroughthepoints(0,3)and(2,0)?
F y523x13
G y5223x12
H y5232x13
J y532x12
39 JamieandCynthiasoldatotalof84raffletickets.Jamiesold3fewerthantwicethenumberCynthiasold.WhichsystemofequationscouldbeusedtodeterminethenumberofraffleticketssoldbyJamie,j,andCynthia,c?
A j1c584j12c53
B j1c5842j2c523
C j1c584j13c52
D j1c584j22c523
40 Ifthedomainofthefunctiony52x212is0,x,5,whatisthecorrespondingrange?
F 0,y,5
G 2,y,10
H 0,y,52
J 2,y,52
41 Whichequationbestdescribestherelationshipbetweenhoursofstudying,h,andthegradeonthetest,g,inthistable?
A g56h137
B h56g137
C g512h174
D h512g174
42 Simplifythealgebraicexpression22(x13)(x23)13(x212x11).
F x216x121
G 5x2112x19
H 2x216x19
J x216x115
43 Whatisthesolutiontothesystemofequationsshownbelow?
4x23y5272x12y514
A (1,7)
B (2,5)
C (3,4)
D (0,1)
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Hours of Studying Grade on Test (%)
0 74
0.5 80
1.0 86
1.5 92
2.0 98
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44 Whichsituationbestdescribesthegraph?D
ista
nce
Time
F Anairplanetookofffromtheairport,thenturnedright,thenturnedleft.
G Acartraveledataconstantrate,thenstoppedatatrafficlight,thentraveledataconstantrate.
H Jakejoggedataconstantrate,thenstoppedtotakeabreak.
J Lydiaascendedupamountain,thendescendeddownthemountain.
45 Whatisthefirststepinsolvingtheinequality23x 1 1 , 211?
A Add11tobothsidesoftheinequality.
B Dividebothsidesoftheinequalityby23.
C Subtract1frombothsidesoftheinequality.
D Dividebothsidesoftheinequalityby23andreversetheinequalitysign.
46 Thegraphbelowbestrepresentswhichofthefollowingsituations?
Alti
tude
(mile
s)
Time (hours)
0.25
0.5
1
0.75
1.0
32 4 5
F Anantcrawlsintohisanthill.
G Apersonridesarollercoaster.
H Afamilydrivesthroughamountainousarea.
J Aracerrunsaone-mileracearoundthetrack.
47 Atasportinggoodsstore,thetotalcostofabaseballandabasketballis$12.50.Thecostofthreebaseballsandtwobasketballsis$29.00.Whichpairofequationscanbeusedtodeterminethepriceofabaseball,b,andthepriceofabasketball,k?
A b 1 k 5 12.505(b 1 k) 5 29.00
B 3b 1 2k 5 12.50b 1 k 5 29.00
C b 1 k 5 12.503b 1 3k 5 29.00
D b 1 k 5 12.503b 1 2k 5 29.00
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48 Janepurchasedxcansofpaintat$2eachandypacksofmarkersat$4each.Shespentlessthan$20,notincludingtax.Usethegridbelowtographtheinequality2x 1 4y , 20.
y
O x
4
8
4–4
–4
–8
–8 8
WhichpointrepresentsareasonablenumberofcansofpaintandpacksofmarkersthatJanepurchased?
F (5,3) H (3,5)
G (2,3) J (1,5)
49 Theequationy 5 35 1 25xrepresentsthecost,y,Jeremypaysaplumberforxhoursofservice.Whatfunctionrepresentsthecost,f(x)forxhoursofservice?
A x 5 35 1 25f(x)
B x 5 25 1 35f(x)
C f(x) 5 25 1 35x
D f(x) 5 35 1 25x
50 Afunctionisrepresentedinthemappingdiagrambelow.
21
22
23
24
x f(x)
1
4
9
16
WhichofthefollowingisNOTanothercorrectrepresentationofthisfunction?
F Thedomainis{21,22,23,24}andf(x) 5 x2.
G Thedomainis{21,22,23,24}andf(x) 5 x2.
H xisanegativeintegergreaterthan25and f(x) 5 x2.
J {(21,1),(22,4),(23,9),(24,16)}
51 Thequadraticfunctionbelowmodelsthepathofasoccerballasitiskickedupintheair.
y
O x
10
20
30
40
1 2 3 4
Time (seconds)
Hei
ght (
Feet
)
Abouthowlongdoesittaketheballtohittheground?
A 1.5seconds
B 3seconds
C 5seconds
D 40seconds
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52 Whatism,theslopeofthelinethatisshowninthegraphbelow?
y
O x
2
4
6
8
2 4 6 8
F 53
G 253
H 35
J 235
53 Thetableshowsthenumberofinchesofaccumulatedsnowfall,f(x),afterxhours.
Accumulated Hours, x Snowfall (in inches), f(x)
1 1.75
3 4.25
4 5.5
7 9.25
Canthissituationberepresentedbyalinearfunction?Ifso,whatisthefunction?
A no
B yes; f(x) 5 1.75x
C yes; f(x) 5 1.25x 1 0.5
D yes; f(x) 5 1.75x 1 0.5
54 Whichequationbestrepresentsthelineonthegraph?
y
O x
2
4
2–2
–2
–4
–4 4
F y 1 2x 5 2
G 2y 2 2x 5 2
H 2y 2 x 5 21
J 2y 1 x 5 2
Name ______________________________ Class _________________________ Date ________________
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