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

Name ______________________________ Class _________________________ Date ________________

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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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80 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

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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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84 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

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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?

Recordyouranswerandfillinthebubblesonyouranswerdocument.

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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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86 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

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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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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 87

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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 ________________

STOP

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