name class date algebra i staar practice test...

12
1 At a video store, used videos cost $5.00 and new videos cost $12.00. Which equation best describes the number of used, u, and new, n, videos that can be purchased for $58.00? A 5u 1 12n 5 58 B 12u 1 5n 5 58 C 17(u 1 n) 5 58 D 41(u 1 n) 5 0 2 What is the y-value of the solution to the system of equations shown below? 5x 2 2y 5210 2x 1 2y 5 9 Record your answer and fill in the bubbles on your answer document. 3 Sean does pet-sitting in the summer. His net profit, p, is represented by the equation p 5 12a 2 130, where a is the number of pets he watches. Which is the best interpretation of this information? A Sean made a profit of $130. B Sean earns $12 dollars for each pet he watches and initially invested $130. C Sean earns $130 for each pet he watches. D Sean paid $12 to get his pet-sitting business started and has 130 clients. 4 Sandy bought x notebooks and y pencils for $9.77. Each notebook cost $1.95 and each pencil cost $0.49. Which equation represents this situation? F 9.77 5 1.95x 2 0.49y G 9.77 5 1.95x 1 0.49y H 9.77 5 1.95y 2 0.49x J 9.77 5 1.95y 1 0.49x 5 Which function best describes the data in the table below? A y 5 4x B y 5 4x 1 1 C y 5 2x D y 5 2x 1 2 Algebra I STAAR Practice Test B Name ______________________________ Class _________________________ Date ________________ STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test B 89 GO ON Copyright © Pearson Education, Inc., or its affiliates. All rights reserved. x 1 3 5 7 y 5 13 21 29

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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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STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test B 89

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x 1 3 5 7

y 5 13 21 29

MGM13_ANC10_TG_TX_PTB.indd 89 30/12/11 9:31 AM

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

90    Algebra I STAAR Practice Test B  STAAR Algebra I EOC Assessment Practice

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MGM13_ANC10_TG_TX_PTB.indd 90 07/01/12 1:53 PM

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

Name ______________________________ Class _________________________ Date ________________

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MGM13_ANC10_TG_TX_PTB.indd 91 30/12/11 9:31 AM

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.

92    Algebra I STAAR Practice Test B  STAAR Algebra I EOC Assessment Practice

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MGM13_ANC10_TG_TX_PTB.indd 92 07/01/12 1:53 PM

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

Name ______________________________ Class _________________________ Date ________________

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Hours of Grade Homework Level

0 1

0.5 3

1.0 5

1.5 7

2.0 9

MGM13_ANC10_TG_TX_PTB.indd 93 30/12/11 9:31 AM

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

94 Algebra I STAAR Practice Test B STAAR Algebra I EOC Assessment Practice

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MGM13_ANC10_TG_TX_PTB.indd 94 30/12/11 9:31 AM

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

Name ______________________________ Class _________________________ Date ________________

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MGM13_ANC10_TG_TX_PTB.indd 95 30/12/11 9:31 AM

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.

96 Algebra I STAAR Practice Test B STAAR Algebra I EOC Assessment Practice

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MGM13_ANC10_TG_TX_PTB.indd 96 30/12/11 9:31 AM

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.

98 Algebra I STAAR Practice Test B STAAR Algebra I EOC Assessment Practice

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MGM13_ANC10_TG_TX_PTB.indd 98 30/12/11 9:31 AM

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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MGM13_ANC10_TG_TX_PTB.indd 99 07/01/12 1:53 PM

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

100 Algebra I STAAR Practice Test B STAAR Algebra I EOC Assessment Practice

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