Are you ready for Algebra I?

Math Superpowers for Every Student Award-winning Photomath app makes math easy to

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Are you ready for Algebra I?

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stuck. In the best

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Happy Math Learning!

Question 1. WQtQtQthhhhauuuQtiiithssseeeQtuiissshseeeseutttixxxtiiiseehoooppptsxennneirrrtopxeeeipnor111psssrnesss...irm1iiiseooos.1seW W W nnnis.o???fiW naohhhW c?naaath?ttto(((ahaaariiitiabbb(zsssacccta(i)))batsttt(((ciibhhhoaaas)ctccc(neee)hadddt(oc)))ehappp(((dfcerrbbrb)dptccciii(hmmm))))rbp(icisrbmeee)ciem)exfffaaapecccfraetttfcooosastrrrcioiiiotzzzronaaair?ztttiaiiizoootannnitoinoooonfffofof

Question 2. WQoQoQohfffauuuQotttteeefQohhhuisssfsteeeuttthttiiisehoooeeeehtsennnqqqietoeuuuiynq222oeaaa-u...nqitttn2auiiitW W W .ooo2etannn.irW tohhhc:::iW enoaaahp:ntttaht:iiitaosss444tfixxxtttst4hhhih---sxt4eeeehxt-yyyyyygeh-===---ryeyaiiiynnn=p-222yttti=h-neee2itrrrno2eccctfreeeetcppphrecetttpeeoootpqffftoutttfoahhhftteeeihotgggehnrrr:egaaargppparhhhpahph

A. AA..

1 A12212 .A1.

1 2

2

B. BB..

---333B.

-3

B. -3

C. CC..

---222C.

-2

C. -2

D. DD..

2 D23323 .D2.

2 3

3

Question 3. WQeQeQehxxxauuuQeppptxeeeQerrruissspxseeeeutttrpssstiiiseehsssooortsiiisennenioootsosinnnpins333oo:::ri...nnoo3d:nW W W .3u:.W chhhtWaaahotttfah(((iiitta---sssht(ie222ttt-s(hhhixxxf-s2to333eeehx)))2tl(((lppp3ehxo555)rrr3ewxxx(p)ooo5---i(rpnxddd5444org-)))xuuudo4-ccce)ud4tttx)cupoootcrfffteotttsfohhhsfiteeeohtnfffeh?oooelllflllooooflowwwlolliiiwonnnwigggnigng

A. AA..

A---.111A000-.xxx1-11102221x01x212

B. BB..

---B.111B000-.xxx1----01111x0-x1-1

C. CC..

C333xxx.C7773.x37x7

D. DD..

D---.111D000-.xxx1-77701x07x7

1 11

1

1

1

QQuQeusuetseitositnoion4n.44.I.fIIfxQtQtQthhxhQt-uuueehe-eeu3eeososeos3tttitotstsiihhitihotoosieehanneonrarearnf4r4faf4ffafa.a.4ca.IItIttoocftftfoIorotorfxxrroxrroox-r-i-iffioss-si?3?f3x?s3?23xiiiss+2sis+aaxaaxff-faaaf-cca1ctt2ct1oo,ot2,rror,ttrhootoehffofnnefxxxn2t2x2h++2+e+xxoxxt---h-e111r2212,,f2,a,ttcthhthtoeehernnenins? thteheotohtehrerfafcatcotrorisi?s?

QQuQeusuetseitositnoion5n.55..OOOnQgQgQgnnrrQgruutauaratheeuphpteapssehehshphtttsehiissitooooeooeisnfnfootntfenftott5o5hh5fht.f.o5e.ehaef.xaeOOeeOeexaqqOeqsnnexnuuqusbneaauttaesthbthtahttliioebeehitooeowileennonss,sl::neweo:esdtt:wet,rtaoo,dowffofrdfataarahwxaxaxeweexegssteshrstbabbehpebeeehllelooolowwowfw,,,th,ddderrdraaerawwqawwutatthhthtieoehene:

grgarpahphofofthteheeqeuqautaitoino:n: 33

y y==--xx++3 3

yyyy====----343434xx34xx++++3333

44

QgrQguarQeupasuehptsehitoositnfooionft6nht.6eh6.e.OeOqOenQgQgQguqnnrrQgruuautauarathteeuaphpteapissehteeohshphttitsenohiissitooooe:nooeisnfnfootntf:enftott6o6hh6fht.f.o6e.ehaef.xaeOOeeOeexaqqOeqsnnexnuuqusbneaauttaesthbthtahttliioebeehitooyeyoywileennoynss==,sl=::neweo:es=dtt:wet,rtaoo,xxdoxwffoxfrd---fataar-ahw1xa1xa1xewee1xegssteshrstbabbehpebeeehllelooolowwowfw,,,th,ddderrdraaerawwqawwutatthhthtieoehene: y y== xx--1 1

Question 7. WQQQhQuuuaeeutessesatttsriieitoooinntonhne777..7.ro.W WW oWthhshaahoattaftttaaahrrariesereeetttqhhhtueeheaerrtrioorooooontto?tssstsoooffof fttthhhtiihisssiseeeqqequuquaauattatiiitoooinnon??n??

QQueusetsitoinon7.7.WWhahtataraerethteherorotostxsxox22xf2o++2f+t+ht444ihxxs4xix-s-e--qe111uq6616au6==t=ai=to00i0no0?n?

QAAxA..u2Ax.---.e+222-2s+??2t?4i?4x444ox4-n555-51861B.BB6..=B.222W .=??2?0?440h44a555t5 are CCCa..C.l--l-.22-2v??2?a?222lu2555e5s ofDDDx..D.222.??f2?o?222r2555w5 hich

A.A-. 2-?2 ?4 45 5 B.B2. ?2 ?4 45 5

C.C-. 2-?2 ?2 25 5 D.D2. ?2 ?2 25 5

the following inequality is true?

Question 8. WQtQtQhhhuuaueeeeteffssasootttrlliieilloooonnanwwllii88v8nn..a.ggluW WiiW ennseehhhoqqaaafuu5tttxaaaalla+fiirrortteeryye53waaiiahsslllllilc-ttvvhrrv2aauuaxtlleehluuu-??eeeessfs23ooololofffwxxxinffgfooorrirnewwwqhhhuiiaiccclhhihty is true?

the following

7 A. x - 9

iBn. xe555qxxxu-+++a13l3535i5tyi--s-22C2txx.rxxu--->e?023232

3

3

D. A, B, and C

QAAA..u.xxxest---io797979n

BB.. xx --1133

9.B. xSol-v1e3

CC.. xx >> 00

the Ce.qxu>a0tion

DD.. AA,, BB,, aanndd CC

usinD.gA,bBo, atnhd Cthe

factoring method and t222h2e quadratic formula.

Question formula.

9.

SQQoluuveessttthiieoonneq299u2..atiSSonoolluvvseeixn2ttghh+beeo8xeethqq+uuthaa1e6ttiif=ooannc0touurissniinngggmbbetoohttohhd ffQaaccutteoosrrtiiinnoggn mm9.eetthhSoooddlvaaenntddhetthheeqqquuuaaatddiorrnaattuiiccsiffnoogrrmmbuuolltaah..

ttahhneed the

the

quadratic

factoring methodxx22a++nd88xxth++e11q66u==ad00ratic formula.

x2 + 8x + 16 = 0

2

SOLUTIONS

SSOSoOLlULuUTtiTIoOInONsNS S

Scan the problems in the worksheet with Photomath to check your answers. See animated solutions for long multiplication or division problems.

SOLUTIONS ScaSncathnethperopbrloemblsemins tihnethweorwkosrhkesehtewetitwhiPthhoPthoomtoamthatoh cthoecchkeyckouyroaunrsawnesrws.ers. SeeSaeneiamnaimteadtesodlusotilountisofnosr floornlgonmgumltiuplltiicpalticioantionr doirvdisiivoinsiopnropbrloemblse.ms.

Question 11:: a2b2c3d

roblems in the worksheet imated solutions for long

mwiutlhQtipPulQhicoeatutsoimeotnisaottohrniotdoin1vcih:si1eocan:k2pybaroo22ubcbrl32eadmcn3ssw.ders.

QQuueessttiioonn 22:: CC

Solving with Photomath

n 1: a?S2oOb2lpvcti3nidogn 1w: iPthhoPtohQmouQatotehumspetarisoottvhniioden2s:g2rC:apChs at the bottom. Y-intercept

or vertical intSeorlScveoipnlvtginiwsgittwhheitPhvhaPloutheoomotofamtyhawthhen x = 0

n

2:

?

C

Option 2: SoOlvep?tthO?iiopsOntwipoi1tnih:o1nP:ah1Ps:oyhsPtototheommomtoaaomttfhhaetqpphurroapovtrivoodvinedisdeegwssriagtgphrrhaatpshphaesthsatsehtcaetothnbedtohtbteootmtbo.omYt.t-oiYnm-tien.rtcYeer-pcitneptet rcept equation aos rx v=e0rtoircoavrel rvitneicrttaeilcrcainletiepnrtceeirpsctetpihstetishvetahvleualevuaelouofef oyfwwyhhwenehenxn=x 0= 0

th Photomath

? O?pOtipotnio2n: 2S:olSvoelvtehitshwisitwhitah saysstyesmtemof oefqueaqtuiaotnisonwsitwhitthhethsecsoencdond

1: PhotoQmuatehstpiroovnide3s:OgrBpapthiosenaqtu2etaqh:tueiSaobtoniooltavntseoaxmsth=.xiYs0=-win0titehrceapstystem of equations with the second

rtical inSteorlcveinpgt iwsitthhePvhaeolqutoeumaoaftityohnwhaesn x = 0

2: Solve? tKhiesywiisthtoarseycostgenQmizuQeoeftuhseeqtatuisoatatninioonen3xs:p3wrB:eitshsBiotnheraseisceodndto the power of -1

ion as x = 0equals its recSiporlSovocinlavglinwgitwhiOtPhphPotithooonmtoa1mthath

Option 2

n

3:

B?

Photomath solv?esK?tehKyeeieysqutisoattriooecnroegicnnoigtznheieztehreatcthipaartnoacenaxlpefrxoeprsmrseiossnhioornwaiirsnaegidseatdo final answer of -e1x0q.ueaqWlusahiltessnitrysecoriuepcrtiopacpraolcthale solution you will see

ttohethpeowpoewr eorf

o-1f

-1

sothirtPeschroeogctQniopimzureoaecirttansuhhldtlaeiitvsoiatndnouas4ehlx:ospowr(le?vxstishPn?+ieoghnPirfiros4nuettnh)rdcoleirfiaoaeinipmupltnvsidssolriaae.etdimoltvsonduIchisanatadaswttonhllsuothesoohfsaswrolowthelsvrhleooosevmsreltowfseivhnlcope-vtegotfshoihnn1rwesx-te0dgthe.cee1rerssxipq0epttWsu.coeeer.ipapqfophWtIsu,c-rein.a1awoonhltIncteeinhafoynoailenotnrphfumsyopietonrlhctuymsaoeetpnehctrxdaoeetppnchsroditeeptnechsrpesitoepno,eclrtpwsauoo,letclwiaufoaoletnprifpomaoynplryopmsuyehlyoxowsupwehixooliwlnnpwigeoslinelnnaetgesneaet

ath solves the equation in the reciprocal form showing a

answer of - dual solving

1sx0t.epWs. hIennthyeoQuseuQctaoepunsdetthissotetenipsoo,nl4wu:et4ioa(:npxp(y+lxyoue+4xw)p4iol)lnesneet

to show the reciprocal form

n 4: (x + 4)

4

44

4

3

Solving with Photomath

? Option 1: Photomath provides graphs at the bottom. Y-intercept or vertical intercept is the value of y when x = 0

? Option 2: Solve this with a system of equations with the second

Question 3: eBquation as x = 0

Solving wQituhePshtiootnom3a: thB

Solving with Photomath

? The key is to recognize that an expression raised to the power of -1 ? Key isetqouraelcsogitnsizreetchipatroancaelxpression raised to the power of -1

equals its reciprocal

? Ph?otoPmhaothtosomlvaetshthseoelvqeuastitohneineqthuearteiocinprioncatlhfeorrmecsihporwoincgalaform showing an

SOLUTIONS finaalnasnwsweerr oof

-

10 x

.

.WWhhenenyoyuotuaptatphethsoelustoiolnutyioounwyiollusewe ill

see

individual

indsivoidlvuianlgsoslvtienpgss.teIpns.thInetsheecseocnonddsstteepp,,wweeapapplypelyxpeoxnpenotnent rules to show

ruletshteo rsehcowiprtohecarelcfioprromcal form

Scan the problems in the worksheet with Photomath to check your answers.

See animQatuedessotluitoionns 4fo:r lo(nxg +mu4lti)plication or division problems.

Question 1: a2b2c3d

Question 2: C

4

Solving with Photomath

? Option 1: Photomath provides graphs at the bottom. Y-intercept or vertical intercept is the value of y when x = 0

? Option 2: Solve this with a system of equations with the second equation as x = 0

Question 3: B

Solving with Photomath

? Key is to recognize that an expression raised to the power of -1 equals its reciprocal

? Photomath solves the equation in the reciprocal form showing a

final

answer

of

-

10 x

.

When you tap the solution you will see

individual solving steps. In the second step, we apply exponent

rules to show the reciprocal form

QQuueessttiioonn 44:: (x + 4)

4

4

Question 5:

Solving with Photomath

Option 1: Scan problem with Photomath, review the graph and compare your solution

Option 2: Enter x-values into the equation using Photomath's calculator to find the corresponding y-values. Plot the points on the graph

Option 1

Option 2

Question 6:

Solving with Photomath

Option 1: Scan problem with Photomath, review the graph and compare your solution

Option 2: Enter x-values into the equation using Photomath's calculator to find the corresponding y-values. Plot the points on the graph

5

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