3. Linear Equation Word Problem

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Part III linear equation word problem Part III linear equation word problem

1

1.. IIff 11

2

2 + 4x= - x + 2, what is the value of x? + 4x= - x + 2, what is the value of x?

A A.. XX== 33 10 10 B B.. XX== 11 2 2 C C.. XX== 55 6 6 D D.. XX== 1515 2 2 c

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2.

2. %%x+x+&&='='x(x())

I the e*uatio show a'ove, ' is a costat. or what value of ' I the e*uatio show a'ove, ' is a costat. or what value of ' "oes the e*uatio have o solutios?

"oes the e*uatio have o solutios? A A.. --%% B B.. --)) C. C. && D. D. %% c

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.

. If -%-If -%-%=-%=-2, w2, what ihat is the s the valuvalue of e of ?? A A.. //== −−33 7 7 B B.. //== 33 7 7 C C.. //== 77 3 3 D D.. //== −−77 3 3 c

4

4.. 2200 −−vv

4

4 0 +2120 +212

hich of the followi$ 'est "escri'es the solutios to the ie*ualit hich of the followi$ 'est "escri'es the solutios to the ie*ualit show a'ove? show a'ove? A A.. --)))) B B.. --22%%22%% C.

C. 3o s3o sololututioio D.

D. All All rreal eal uu'er'erss c

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&. &. 22 3 3 (&x='x+(&x='x+ 1 1 3 3

I the e*uatio show a'ove, ' is a costat. or what value of ' I the e*uatio show a'ove, ' is a costat. or what value of ' "oes the e*uatio have o solutios?

"oes the e*uatio have o solutios? A. A. && B. B. 55 C C.. --&& D. D. 22 3 3 c

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.

. DiitrDiitri is hel6i$ to 6la the schi is hel6i$ to 6la the school taleool talet showt show. 7ach 6erfo. 7ach 6erforererr for the talet show has  iutes for his or her 6erforace, for the talet show has  iutes for his or her 6erforace, whi

which ch iciclu"lu"es es tratrassitioitio  titie e 'et'etweewee  6er6erforforaacesces. . If If thethe itro"uctio for the talet show is 24 iutes lo$ a" the show itro"uctio for the talet show is 24 iutes lo$ a" the show will last 1&5 iutes, how a "i8eret 6erforaces ca the will last 1&5 iutes, how a "i8eret 6erforaces ca the talet show accoo"ate?

talet show accoo"ate? A. 21 A. 21 B. 24 B. 24 C. 2& C. 2& D. 29 D. 29 c

).

). :he 6r:he 6ro6eo6ert taxrt taxes i es i a a towtow  "ec"ecrerease as the ase as the "is"istatace fro thece fro the local eleetar school icreases. :he $reatest 6ro6ert taxes local eleetar school icreases. :he $reatest 6ro6ert taxes are 4.&;, a" for ever 15 iles fro the school, 6ro6ert taxes are 4.&;, a" for ever 15 iles fro the school, 6ro6ert taxes "ecrease ' 5.& 6erceta$e 6oits. If a house is "irectl east or "ecrease ' 5.& 6erceta$e 6oits. If a house is "irectl east or west of the school a" its 6ro6ert taxes are ;, what is the west of the school a" its 6ro6ert taxes are ;, what is the "istace of that house fro the school?

"istace of that house fro the school? A A.. 115 5 iilleess B B.. 225 5 iilleess C. C. 5 5 ilileses D. D. 445 5 ilileses c

%.

%. Dalia is isDalia is istallitalli$ a tile <oor i a re$ a tile <oor i a recta$cta$ular rular roo. Daoo. Dalia has 1&2lia has 1&2 tiles availa'le to tile the roo. If each row re*uires 9

tiles availa'le to tile the roo. If each row re*uires 9 11

2

2 tiles, tiles,

a" 19 tiles 'rea while Dalia is lai$ the <oor, how a full a" 19 tiles 'rea while Dalia is lai$ the <oor, how a full rows of tile ca she istall 'efore rui$ out of tiles?

rows of tile ca she istall 'efore rui$ out of tiles? A A.. 1122 B B.. 1144 C C.. 11 D D.. 11%%

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c

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9.

9. >h>htortoreeee"ia"iatiotio  is the is the use of use of 6la6lat $rowt $rowth to th to 6ur6urifif  6ol6ollutlutatatss fro soil, water, or air. u66ose that a cro6 of 'rae fers ca fro soil, water, or air. u66ose that a cro6 of 'rae fers ca re

reovove e 1& 1& ililli$li$raras s @$@$  6er s*uar6er s*uare e eteter er of of a a 6ar6articticulaularr 6ollutat fro the soil i 25 wees. After 25 wees, the fers are 6ollutat fro the soil i 25 wees. After 25 wees, the fers are harveste" a" a ew cro6 is 6late". If cc re6resets the u'er harveste" a" a ew cro6 is 6late". If cc re6resets the u'er o

of f ccrroo66s s oof f ''rraae e ffeerrs s eeee""ee" " tto o 66hhttoorreeee""iiaatte e ssooiill co

cotataiaiate" te" witwith h 1)51)5$ $ 6er 6er s*us*uarare e eteter er of of the the 6ol6ollutlutatat "ow to health levels of &$ 6er s*uare eter, which e*uatio "ow to health levels of &$ 6er s*uare eter, which e*uatio 'est o"els the situatio?

'est o"els the situatio? A

A.. 11))55 −−¿¿ _25c=&_25c=&

B B.. 11))55 ++¿¿ _25c=&_25c=& C C.. 11))55 −−¿¿ _1&c=&_1&c=& D D.. 11))55 ++¿¿ _25c=&_25c=& c

1

155.. e e oof f tthhe e rruullees s ii  a a 66uu''lliic c ss66eeaaii$ $ ccootteesst t rre*e*uuirireess cotestats to s6ea for as close to & iutes @55 seco"s as cotestats to s6ea for as close to & iutes @55 seco"s as 6ossi'le. Cotestats lose  6oits for each seco" the s6ea 6ossi'le. Cotestats lose  6oits for each seco" the s6ea either over or u"er & iutes. hich ex6ressio 'elow ca 'e either over or u"er & iutes. hich ex6ressio 'elow ca 'e use" to "eterie the u'er of 6oits a cotestat loses if she use" to "eterie the u'er of 6oits a cotestat loses if she s6eas for xx seco"s?

s6eas for xx seco"s? A A.. 0x0x((555050 B. B. &&0x0x((555050 C C.. 00xx++550550 D. D. 33 5 5 0x0x++550550 c

11.

11. Cara is ha$iCara is ha$i$ a $ a 6ost6oster that is 91 er that is 91 ceticetietereters @c wi"e i s @c wi"e i herher roo. :he ceter of the wall is 1%5c fro the ri$ht e" of the roo. :he ceter of the wall is 1%5c fro the ri$ht e" of the wall. If Cara ha$s the 6oster so that the ceter of the 6oster is wall. If Cara ha$s the 6oster so that the ceter of the 6oster is locate" at the ceter of the wall, how far will the left a" ri$ht locate" at the ceter of the wall, how far will the left a" ri$ht e"$es of the 6oster 'e fro the ri$ht e"

e"$es of the 6oster 'e fro the ri$ht e" of the wall?of the wall? A.

A. 22&.&22&.&c ac a" %" %9c, 9c, resres6ectiv6ectivelel B.

B. 2)1.&2)1.&c ac a" 1" 14.&c4.&c, r, res6ectes6ectivelivel C.

C. 22&.&22&.&c ac a" 14" 14.&c, .&c, resres6ecti6ectivelvel D.

D. 2)1c 2)1c a" %a" %9c, r9c, res6eces6ectiveltivel c

12.

12. elieli6e 6e is saviis savi$ $ ooe e for a for a claclass tri6. e ss tri6. e alralrea"ea"  has savehas save"" 2&5 that he will

2&5 that he will 6ut towar" the tri6. :6ut towar" the tri6. :o save ore oe for theo save ore oe for the tri6, 

tri6, eli6e $ets a eli6e $ets a Eo' where each oth he ca Eo' where each oth he ca a"" &5 to a"" &5 to hishis savi$s for the tri6. Fet  'e the u'er of oths that eli6e savi$s for the tri6. Fet  'e the u'er of oths that eli6e

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has wore" at his ew Eo'. If

has wore" at his ew Eo'. If eli6e ee"s to save eli6e ee"s to save 2)55 to $o o2)55 to $o o the tri6, which e*uatio 'est o"els the situatio?

the tri6, which e*uatio 'est o"els the situatio? A.

A. 2&2&55((&5&5=2=2)5)555 B.

B. 2&2&55++&5&5=2=2)5)555 C.

C. &&55(2(2&5&5=2=2)5)555 D.

D. &5&5+2+2&5=&5=2)52)555 c

1.

1. CailCaille le a" iroa" iroi i have "eci"e" to have "eci"e" to starstart t waliwali$ for $ for exexerciercise.se. Caille is $oi$ to wal ) iles the Grst "a a"  iles each Caille is $oi$ to wal ) iles the Grst "a a"  iles each "a after that. iroi is too 'us to

"a after that. iroi is too 'us to wal o the Grst 2 wal o the Grst 2 "as, so he"as, so he "eci"es to wal & iles each "a util he has wale" the sae "eci"es to wal & iles each "a util he has wale" the sae u'er of iles as Caille. If

u'er of iles as Caille. If Caille a" iroi will have wale"Caille a" iroi will have wale" the sae u'er of iles, how a "as will Caille have the sae u'er of iles, how a "as will Caille have wale"? wale"? A. A. 22 B. B.  C. C. && D. D. )) c

14.

14. A art A art $a$allerller  "is"is6la6las a s a larlar$e $e 6ai6aititi$ i $ i the cetthe ceter of er of a a walwalll that is 24 feet @ft wi"e. :he 6aiti$ is 15ft wi"e. hich of the that is 24 feet @ft wi"e. :he 6aiti$ is 15ft wi"e. hich of the followi$ e*uatios ca 'e use" to G" the "istaces, xx, i feet, followi$ e*uatios ca 'e use" to G" the "istaces, xx, i feet, fro the left e" of the wall to

fro the left e" of the wall to the e"$es of the 6aiti$?the e"$es of the 6aiti$? A. A. 0x0x(1(15050=1=122 B. B. 2020x(x(12120=0=1515 C. C. 2020x(x(15150=0=1212 D. D. 0x0x(1(12020=1=155 c

1&.

1&. At the cout fair, the o6At the cout fair, the o6erator of a $ae $uesses a erator of a $ae $uesses a cotestatHscotestatHs wei

wei$ht$ht. . or or eaceach h 6o6ou" u" the the o6eo6eratratorHorHs s $ue$uess ss "i8"i8ers ers frfro o thethe co

cottesestatatHtHs s wewei$i$htht, , ththe e cocotteeststaat t wwilill l rrececeieivve e . . If If aa cotestat receive" 1& whe the o6erator $uesse" 125 6ou"s, cotestat receive" 1& whe the o6erator $uesse" 125 6ou"s, what are the 6ossi'le values for the wei$ht of the

what are the 6ossi'le values for the wei$ht of the cotestat?cotestat? A.

A. 1515& & aa" " 1111&& B.

B. 1515& & aa" " 1212&& C.

C. 1111& & aa" " 1212&& D.

D. 1111& a& a" " 11&& c

1.

1. A A foo" truc ower has "eterfoo" truc ower has "eterie" that her axiu reveie" that her axiu reveueue occ

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sa

sa""wiwich ch a'a'ovove e or or 'e'elolow w 9&9&5 5 ththat at shshe e seselllls, s, heher r rreveveeueue "ecreases ' 5.15. hich of the followi$ coul" 'e the u'er "ecreases ' 5.15. hich of the followi$ coul" 'e the u'er of sa"wiches sol" i a oth if the owers reveue "ecrease" of sa"wiches sol" i a oth if the owers reveue "ecrease" 4& fro the axiu? Jou" the aswer to the earest whole 4& fro the axiu? Jou" the aswer to the earest whole u'er.

u'er. A.

A. s=s=9595& o& or r s=s=9999&& B.

B. s=s=9494 o or sr s=9=9&&&& C.

C. s=s=&5&55 or s5 or s=1=1,4,45555 D.

D. s=s=&5&55 or s5 or s=9=9&5&5 c

coorrrreecct t aasswweerr! ! CC ""ii##ccuullt t ""ee$$rreeee! ! 

1).

1). A A ice ice crcrea ea trtruc ower has uc ower has "et"etereriie" e" thathat t his axihis axiuu reveue occurs whe he sells 1,2&5 coes 6er oth. or ever reveue occurs whe he sells 1,2&5 coes 6er oth. or ever coe a'ove or 'elow 1,2&5 that he sells, his reveue "ecreases coe a'ove or 'elow 1,2&5 that he sells, his reveue "ecreases ' 5.1&. hich of the followi$ e*uatios ca 'e use" to G" ' 5.1&. hich of the followi$ e*uatios ca 'e use" to G" th

the e 6o6ossssi'i'le le uu''erers s of of cocoeess, , c, c, fofor r wwhihicch h tthe he rreveveeueue "ecreases 2&5 fro the axiu?

"ecreases 2&5 fro the axiu? A.

A. 1&1&KcKc-2-2&5&5K=K=1,1,2&2&55 B.

B. 1&1&KcKc-1-1,2,2&5&5K=K=2&2&55 C.

C. 5.15.1&K&Kc-1c-1,2&,2&5K=5K=2&52&5 D.

D. 5.15.1&K&Kc-2c-2&5K&5K=1,=1,2&52&5 c

1%

1%.. rroo  119%9%5 5 to to 25255555, , ththe e aauaual l 6r6roGoGt t oof f a a coco66aa  wwasas 2&,555 less 2&,555 ties the u'er of ears either 'efore 2&,555 less 2&,555 ties the u'er of ears either 'efore or after 1995. hich of the followi$ e*uatios 'elow coul" 'e or after 1995. hich of the followi$ e*uatios 'elow coul" 'e use" to "eterie i which ear, x, the

use" to "eterie i which ear, x, the 6roGt was &&5,555?6roGt was &&5,555? A.

A. &&5 &&5 - 2&- 2&K x - K x - 1991995 K = 5 K = 2&2& B.

B. 2& 2& - 2& - 2& K x - K x - 1991995 K = 5 K = &&5&&5 C.

C. 2& 2& +2& +2& K x - K x - 1991995 K = 5 K = &&5&&5 D.

D. 2& 2& +2& +2& K x + 1K x + 1995 995 K = &K = &&5&5 c

coorrrreecct t aasswweerr! ! BB ""ii##ccuullt t ""ee$$rreeee! ! 

19

19.. 7a7ach ch of of ththe e 1% 1% titirres es of of a a fufullll  loloa"a"e" e" seseii-t-truruc c is is 'e'eararii$$ a66ro

a66roxiatel ,55 6ou"s. :he xiatel ,55 6ou"s. :he uloa"e" truc a" trailer, withuloa"e" truc a" trailer, with the "river a'oar", wei$hs 5,555 6ou"s. :he truc hol"s 2 the "river a'oar", wei$hs 5,555 6ou"s. :he truc hol"s 2 6allets of car$o whe it is full loa"e". hat is the a66roxiate 6allets of car$o whe it is full loa"e". hat is the a66roxiate avera$e wei$ht of oe 6allet of

avera$e wei$ht of oe 6allet of car$o?car$o? A. A. 1,1,111 6o1 6ouu"s"s B. B. 1,1,2%2%5 6o5 6ouu"s"s C. C. 1,1,  6o6ouu"s"s D.

D. 1,1,& 6o& 6ouu"s"s c

coorrrreecct t aasswweerr! ! AA ""ii##ccuullt t ""ee$$rreeee! ! 

25.

(6)

wei

wei$ht$ht. . or or eaceach h 6o6ou" u" the the o6eo6eratratorHorHs s $ue$uess ss "i8"i8ers ers frfro o thethe cotestatHs wei$ht, the cotestat will receive . A cotestat cotestatHs wei$ht, the cotestat will receive . A cotestat wei$hi$ x 6ou"s receive" 1& whe the o6erator $uesse" 125 wei$hi$ x 6ou"s receive" 1& whe the o6erator $uesse" 125 6ou"s. hich of the followi$ e*uatios coul" 'e use" to solve 6ou"s. hich of the followi$ e*uatios coul" 'e use" to solve for the wei$ht of the cotestat?

for the wei$ht of the cotestat? A. A.  K  K x - x - 1& 1& K = K = 121255 B. B.  K  K x - x - 12125 K 5 K = 1= 1&& C. C. 1& 1& K x K x - 1- 125 25 K = K =  D. D. 1& K 1& K x -  x -  K = K = 121255 c

21.

21. a $ivea $ives s his litthis little sistele sister r FisFisa a a a 1& seco1& seco" " @se@sec hea" starc hea" start t ii th

theieir r 555 5 eeteter r @@  raracece. . DuDuriri$ $ ththe e raracece, , FIFIsa sa rurus s at at aa aver

avera$e s6ee" of a$e s6ee" of & Lsec a" & Lsec a" a rus at a rus at a avera$e s6ee" of a avera$e s6ee" of % Lsec. hich of the followi$ 'est a66roxiates the u'er of % Lsec. hich of the followi$ 'est a66roxiates the u'er of seco"s that a will ru 'efore he catches Fisa?

seco"s that a will ru 'efore he catches Fisa? A. A. && B B.. 22&& C C.. 4455 D D.. &&&&

c

22.

22. A co6aA co6as uit cost for 6ro"ucis uit cost for 6ro"uci$ * $ * uituits is s is a iiu whea iiu whe *=%5 uits are 6ro"uce". :he uit cost icreases ) for ever 15 *=%5 uits are 6ro"uce". :he uit cost icreases ) for ever 15 uits ore or less tha %5 6ro"uce". If the iiu uit cost is uits ore or less tha %5 6ro"uce". If the iiu uit cost is &, which of the followi$ e*uatios ca 'e use" to G" the &, which of the followi$ e*uatios ca 'e use" to G" the u'er of uits, *, for which the

u'er of uits, *, for which the uit cost is %.2&?uit cost is %.2&? A.

A. &+5&+5.)0.)0*(%*(%50=50=%.2%.2&& B.

B. 5.5.)0)0*(*(%5%50=0=%.%.2&2& C.

C. &(5&(5.)0.)0*(%*(%50=50=%.2%.2&& D.

D. (5.(5.)0*)0*(%5(%50=%0=%.2&.2& c

coorrrreecct t aasswweerr! ! AA ""ii##ccuullt t ""ee$$rreeee! ! 

2.

2. A co6a has "eterie" that its axiu 6rA co6a has "eterie" that its axiu 6roGt occurs wheoGt occurs whe it sells 15,555 uits 6er oth. or ever 1,555 uits ore or it sells 15,555 uits 6er oth. or ever 1,555 uits ore or less tha 15,555

less tha 15,555 uits that the co6a sells, uits that the co6a sells, its 6roGt "ecreasesits 6roGt "ecreases ' &,555. hich of the followi$ e*uatios ca 'e use" to G" ' &,555. hich of the followi$ e*uatios ca 'e use" to G" th

the e uu''er er of of uuitits, s, *, *, i i ththouousasa""s, s, fofor r whwhicich h ththe e 6r6roGoGtt "ecreases &,555 fro the axiu?

"ecreases &,555 fro the axiu? A.

A. 15150*0*((&0&0=&=& B.

B. &0&0*(*(15150=0=&& C.

C. &&0*0*(1(15050=&=& D.

D. &0&0*(*(&&0=0=1515 c

(7)

24.

24. CarCarlos los shoshovelvels s sosow w frfro o "ri"rivewvewas as i i his his eiei$h'$h'ororhoohoo". ". ee char$es 15 for each re$ular "rivewa a" he char$es a extra char$es 15 for each re$ular "rivewa a" he char$es a extra ).&5 for each lar$e "rivewa that he shovels. After a sowstor ).&5 for each lar$e "rivewa that he shovels. After a sowstor he shovels  fewer lar$e "rivewas tha re$ular "rivewas a" he shovels  fewer lar$e "rivewas tha re$ular "rivewas a" aes 145. ow a re$ular "rivewas "i" Carlos shovel?

aes 145. ow a re$ular "rivewas "i" Carlos shovel? A. A.  B. B. 44 C. C. )) D. D. 99 c

2&

2&.. A A ststacac  of of 25 25 ststaiaillesess s ststeeeel l shsheeeetts s is is susu6666osose" e" to to 'e 'e 4545 il

illilieteeters rs @@  thithic. c. :he :he allallowowa'la'le e aoaout ut of of varvariatiatio io ii thicess @tolerace is 5.5% for a i"ivi"ual sheet. hich of thicess @tolerace is 5.5% for a i"ivi"ual sheet. hich of the followi$ are the sallest a" lar$est allowa'le thicesses the followi$ are the sallest a" lar$est allowa'le thicesses for a stac of 25

for a stac of 25 sheets?sheets? A.

A. 9.929.92 a a" 4" 45.5%5.5%, r, res6eces6ectiveltivel B.

B. 99.299.2 a a" 455" 455.%, .%, resres6ecti6ectivelvel C.

C. %.4%.4 a a" 41" 41., ., resres6ecti6ectivelvel D.

D. %4 %4 a" 41a" 41, r, res6eces6ectiveltivel c

2.

2. A A co6co6a that 6ro"uca that 6ro"uces thu' "rives has es thu' "rives has "eter"eterie" that itsie" that its axiu 6roGt occurs whe it sells &,555 uits 6er oth. or axiu 6roGt occurs whe it sells &,555 uits 6er oth. or ever &55 uits a'ove or 'elow &,555 the co6a sells, its ever &55 uits a'ove or 'elow &,555 the co6a sells, its 6roGt "ecreases ' 1,&55. hich of the followi$ coul" 'e the 6roGt "ecreases ' 1,&55. hich of the followi$ coul" 'e the 

uu''er er oof f uuiits ts sosol" l" i i a a ootth h if if ththe e coco6a6as s 6r6rooGtGt "ecrease" 12,555 fro the axiu? Jou" the aswer to the "ecrease" 12,555 fro the axiu? Jou" the aswer to the earest whole u'er.

earest whole u'er. A.

A. 15155 o5 or 9r 955 55 uuititss B.

B. 1,51,555 55 or or 9,59,555 u55 uititss C.

C. 445 o5 or &r &45 u45 uiitsts D.

D. 4,4,55 o55 or &,r &,455 u455 uititss correct

correct aswer! aswer! B B "i#cult "i#cult "e$ree! "e$ree! 

2).

2). JaJai is i is a real estate a$ea real estate a$et. or each houst. or each house she e she sellssells, she 6as, she 6as 155 i fees, 'ut ears a coissio of 1.%; of the selli$ 6rice 155 i fees, 'ut ears a coissio of 1.%; of the selli$ 6rice of the house. Jais total 6roGt fro a 6articular house is 4,&%5. of the house. Jais total 6roGt fro a 6articular house is 4,&%5. If 6 re6resets the selli$ 6rice of the

If 6 re6resets the selli$ 6rice of the house, which e*uatio 'esthouse, which e*uatio 'est o"els the situatio?

o"els the situatio? A. A. 5.5.5151%6%6(1(15555=4=4&%&%55 B. B. 5.5.5151%6%6+1+15555=4=4&%&%55 C. C. @15@155(55(5.51.51%6%6=4&=4&%5%5 D. D. @15@155+55+5.51.51%6%6=4&=4&%5%5 correct

(8)

2%.

2%. A recta$ular $arA recta$ular $ar"e has a le$th of 5 feet @ft, a wi"th of w f"e has a le$th of 5 feet @ft, a wi"th of w ft,t, a" a 6erieter of 255 ft. hich of the followi$ e*uatios 'est a" a 6erieter of 255 ft. hich of the followi$ e*uatios 'est o"els the $ar"es 6erieter?

o"els the $ar"es 6erieter? A A.. 5+5+ww==252555 B. B. 55+2+2w=w=252555 C. C. 12125+5+w=w=252555 D. D. 12125+5+2w2w=2=25555 correct

correct aswer! aswer! D D "i#cult "i#cult "e$ree! "e$ree!  29.

29. A 'ar'er o8ers two o6tios at his 'ar'ershA 'ar'er o8ers two o6tios at his 'ar'ersho6! a o6! a 1&.51&.55 re$ular5 re$ular haircut a" a 25.55 "eluxe haircut that iclu"es a shave.  a haircut a" a 25.55 "eluxe haircut that iclu"es a shave.  a certai "a, the 'ar'er $ave  fewer "eluxe haircuts tha he "i" certai "a, the 'ar'er $ave  fewer "eluxe haircuts tha he "i" re$ular haircuts, h, a" eare" &55.55 i total fro the two re$ular haircuts, h, a" eare" &55.55 i total fro the two i"s of haircuts. hich of the followi$ e*uatios 'est o"els i"s of haircuts. hich of the followi$ e*uatios 'est o"els this situatio?

this situatio? A.

A. 1&.1&.55h55h+25+25.55.55@h(@h(==&55&55.55.55 B.

B. 1&.1&.55h55h+25+25.55.55@h+@h+==&55&55.55.55 C.

C. 1&.551&.55@h(@h(+25+25.55h=.55h=&55.5&55.555 D.

D. 1&.551&.55@h+@h++25+25.55h=.55h=&55.5&55.555 correct

correct aswer! aswer! A A "i#cult "i#cult "e$ree! "e$ree! 

5.

5. A car retal coA car retal co6a char6a char$es 4.&$es 4.&5 a 5 a "a 6lus a tax of ; to"a 6lus a tax of ; to ret a ecoo siMe car. A""itioall, the co6a char$es a ret a ecoo siMe car. A""itioall, the co6a char$es a oe-tie utaxe" fee of 15.&5 for each retal. If a custoer is oe-tie utaxe" fee of 15.&5 for each retal. If a custoer is char$e" 19.9% i total to ret a ecoo siMe car for " "as, char$e" 19.9% i total to ret a ecoo siMe car for " "as, which of the followi$ e*uatios o"els the situatio?

which of the followi$ e*uatios o"els the situatio? A.

A. @4.&@4.&5+1.55+1.5"+1"+15.&5=5.&5=19.919.9%% B.

B. 1.51.5@@4.&4.&5"+5"+15.15.&5&5=19=19.9.9%% C.

C. 1.5@1.5@4.&54.&5"+1"+15.&5=5.&5=19.919.9%% D.

D. @1.5@1.5@4.&@4.&5+155+15.&5".&5"=19.=19.9%9% correct

correct aswer! aswer! C C "i#cult "i#cult "e$ree! "e$ree! 

1.

1. 7r7rica ica has &5.5has &5.55 5 savsave" e" a" recea" receiveives s a a allallowowacace e of of 2525.55.55 ea

each ch weweee. . eer r olol"e"er r 'r'rototheher, r, >>aoaololo, , hahas s 225.5.55 55 sasaveve" " aa"" rrececeieiveves s a a alallolowawacce e of of 22&.&.55 55 eaeach ch weweee. . hhicich h of of ththee followi$ e*uatios 'est o"els the u'er of wees, w, that followi$ e*uatios 'est o"els the u'er of wees, w, that ust 6ass for the si'li$s to have the sae aout of oe ust 6ass for the si'li$s to have the sae aout of oe sa

saveve"? "? AsAssusue e ththat at 7r7ricica a aa" " >>aoaolo lo sasave ve alall l of of ththeieir r ooee "uri$ this tie 6erio".

"uri$ this tie 6erio". A.

A. &5.&5.55+55+25.25.55w55w=25=25.55.55+2&+2&.55.55ww B.

B. &5.&5.55w55w+25+25.55.55=25=25.55.55w+w+2&.2&.5555 C.

C. 25.5525.55@&5.5@&5.55+w5+w=2&.5=2&[email protected]@25.55+w55+w D.

D. 25.5525.55w+2&w+2&.55w=.55w=&5.55&5.55+25.5+25.555 correct

(9)

2.

2. :he ass of a li*ui" solutio is 2& $ras @$ a" its vo:he ass of a li*ui" solutio is 2& $ras @$ a" its volue is 45lue is 45 illiliters @l. A seco" li*ui" solutio has the sae "esit @ illiliters @l. A seco" li*ui" solutio has the sae "esit @

g g ml

ml  a" a volue of 255 l. hich of the followi$ e*uatios a" a volue of 255 l. hich of the followi$ e*uatios 'e

'est st oo"e"els ls ththe e aass ss i i $r$raas, s, , , of of ththe e sesecoco" " lili*u*ui"i" solutio? solutio? A. A. 25255 5 = @= @2&2&@@4545 B B.. 225555  == 2525 40 40 C. C. 88 5 5 = = m m 200 200 D. D. 55 8 8 = = m m 200 200 correct

correct aswer! aswer! D D "i#cult "i#cult "e$ree! "e$ree! 



.. ::wo wo iiteteririor or aa$l$les es of of a a trtriaia$$le le arare e coco66leleeettarar. . :h:hee easure of the Grst a$le is half the easure of the seco" easure of the Grst a$le is half the easure of the seco" a$le, which has a easure of xx

a$le, which has a easure of xx "e$rees. hich of the followi$"e$rees. hich of the followi$ e*

e*uauatitioos s 'e'est st oo"e"els ls ththe e susu  of of ththe e iiterterioior r aa$l$les es of of ththisis tria$le? tria$le? A. A. x+x+2x2x+9+95=5=1%1%55 B. B. xx 2 2 +x+95=1%5+x+95=1%5 C. C. 11 2 2 @x+2x+95=1%5@x+2x+95=1%5 D. D. xx 2 2 +x+2x=1%5+x+2x=1%5 correct

correct aswer! aswer! B B "i#cult "i#cult "e$ree! "e$ree! 

4.

4. A 6ar sha6e" liA 6ar sha6e" lie a e a 6eta6eta$o has four e*ual le$t$o has four e*ual le$th si"es a"h si"es a" oe ue*ual si"e whose le$th is & feet @ft. :he 6erieter of oe ue*ual si"e whose le$th is & feet @ft. :he 6erieter of the 6ar is 19& ft. hat is the le$th i feet of oe of the e*ual the 6ar is 19& ft. hat is the le$th i feet of oe of the e*ual si"es?

si"es? correct

correct aswer! aswer! 45 45 "i#cult "i#cult "e$ree! "e$ree! 

&.

&. ashasha has 2.& i cha$e i her 6oceta has 2.& i cha$e i her 6ocet. :he 2.& is . :he 2.& is a"e u6a"e u6 of oe *uarter 6lus a e*ual u'er of icels a" "ies. ow of oe *uarter 6lus a e*ual u'er of icels a" "ies. ow a icels "oes asha have i

a icels "oes asha have i her 6ocet?her 6ocet? correct

correct aswer! aswer! 1 1 "i#cult "i#cult "e$ree! "e$ree! 

.

. :he u'er of su'scri'ers to a certai ew:he u'er of su'scri'ers to a certai ews6a6er "ecreases6a6er "ecreases 's ' a'out 2,555 each ear. I 2515, there were 19,555 su'scri'ers. a'out 2,555 each ear. I 2515, there were 19,555 su'scri'ers. I what ear

I what ear shoul" the ews6a6er ex6ect to shoul" the ews6a6er ex6ect to have a66roxiathave a66roxiatelel ),555 su'scri'ers?

),555 su'scri'ers? corr

(10)

).

). A A airair6la6lae e 'e$'e$is its is its "es"escecet t to to lala" " frfro a o a heihei$ht of $ht of &,&,555555 feet @ft a'ove sea level. :he air6laes hei$ht cha$es ' a'out feet @ft a'ove sea level. :he air6laes hei$ht cha$es ' a'out (4555 ft ever  iutes. Jou"e" to the earest iute, i (4555 ft ever  iutes. Jou"e" to the earest iute, i a66roxiatel how a iutes will the 6lae la"? Assue a66roxiatel how a iutes will the 6lae la"? Assue that the air6ort ruwa is at sea level.

that the air6ort ruwa is at sea level. correct

correct aswer! aswer! 2 2 "i#cult "i#cult "e$ree! "e$ree! 

%.

%. A car "rivi$ o a A car "rivi$ o a strastrai$ht 6ath travi$ht 6ath travels a'out 25 feet @ft i els a'out 25 feet @ft i  sec

secoo"s. "s. JJouou"e" "e" to to the the eaearerest st secseco"o", , a66a66roroxixiateatel l howhow a seco"s will it tae for the car to travel 1 ile @i at the a seco"s will it tae for the car to travel 1 ile @i at the sae rate? 1 i=&,2%5 ft.

sae rate? 1 i=&,2%5 ft. correct

correct aswer! aswer! 1 1 "i#cult "i#cult "e$ree! "e$ree! 

9.

9. As a As a o'Eo'Eectects "e6th 'elow the surfas "e6th 'elow the surface of ce of a a 'o"'o"  of salt of salt watwaterer i

icrcreaeaseses, s, so so "o"oes es ththe e 6r6resessusurre e acactiti$ $ o o ththe e o'o'EeEect ct "u"ue e toto atos6heric a" water co"itios. :he rate at which 6ressure atos6heric a" water co"itios. :he rate at which 6ressure icreases is a66roxiatel 11 6ou"s 6er s*uare ich @6si for icreases is a66roxiatel 11 6ou"s 6er s*uare ich @6si for ev

everer  iicrcreaease se i i "e"e6t6th h of of 2& 2& fefeet et @f@ftt. . :h:he e 6r6resessusurre e at at ththee surface of the water is 1& 6si. Jou"e" to the earest foot, at surface of the water is 1& 6si. Jou"e" to the earest foot, at what "e6th will the 6ressure acti$ o the o'Eect 'e &5

what "e6th will the 6ressure acti$ o the o'Eect 'e &5 6si?6si? correct

correct aswer! aswer! %5 %5 "i#cult "i#cult "e$ree! "e$ree! 

45.

45. A 6iece of woo" has a ass of 5 $ras @$ a" a voluA 6iece of woo" has a ass of 5 $ras @$ a" a volue of 45e of 45 cu'ic cetieters @c

cu'ic cetieters @c_{. A seco" 6iece of woo" has the sae}_{. A seco" 6iece of woo" has the sae}

"esit @ "esit @ gg

cm

cm33  a" a volue of 245 c a" a volue of 245 c



_{. hat is the ass i}_{. hat is the ass i}

$ras of the seco" 6iece of

$ras of the seco" 6iece of woo"?woo"? correct

correct aswer! aswer! 1%5 1%5 "i#cul"i#cult t "e$ree! "e$ree! 

41

41.. A A eteteoeorroololo$i$ist st eeststiiatatees s ththat at o o a a ssuu  ""aa, , ththe e aiairr te6erature "ecreases ' a'out 4N  for ever 1,555 feet @ft of te6erature "ecreases ' a'out 4N  for ever 1,555 feet @ft of elevatio $ai.  a certai "a, the air te6erature outsi"e a elevatio $ai.  a certai "a, the air te6erature outsi"e a air6lae <i$ a'ove eattle is (&%N , a" the $rou" level air6lae <i$ a'ove eattle is (&%N , a" the $rou" level te6erature i eattle is )5N

te6erature i eattle is )5N . If x is the hei$ht, i feet, at which. If x is the hei$ht, i feet, at which th

the e 6l6laae e is is <<ii$$, , whwhicich h of of ththe e fofollllowowii$ $ 'e'est st oo"e"els ls ththee situatio? situatio? A A.. ))55= = (( 44 1,000 1,000 x ( &%x ( &% B B.. ))55== 44 1,000 1,000 x ( &%x ( &% C. C. (&(&% = % = ( 4( 4x + x + )5)5

(11)

D.

D. (&(&% = % = 4x 4x + )+ )55 c

42.

42. A A tautaut t strstri$ of i$ of lele$th 15 $th 15 iciches is hes is 6lu6lucce" e" at at the cetthe ceterer. . :he:he vi'ratio travels alo$ the stri$ at a costat rate of c iches vi'ratio travels alo$ the stri$ at a costat rate of c iches 6er illiseco" i 'oth "irectios. If x re6resets the 6ositio o 6er illiseco" i 'oth "irectios. If x re6resets the 6ositio o the stri$ fro the left-ost e", so that 5OxO15, which of the the stri$ fro the left-ost e", so that 5OxO15, which of the followi$ e*uatios ca 'e use" to G" the locatio x of the followi$ e*uatios ca 'e use" to G" the locatio x of the vi'ratio after 5. illiseco"s?

vi'ratio after 5. illiseco"s? A. A. 11 cc K x -& K =5. K x -& K =5.  B. B. 0c0cx(x(&0&0=5=5.. C. C. 11 cc K x -5. K = &K x -5. K = & D. D. K x - K x - 15 15 K =5K =5..cc c

4.

4. I the I the eaear r 255255, the , the aveaverara$e hoe 6rice 6er s*uar$e hoe 6rice 6er s*uare e foofoot t i ai a certai cout was9%. or each ear 'efore or after 255, the certai cout was9%. or each ear 'efore or after 255, the avera$e 6rice 6er s*uare foot icrease" ' a66roxiatel .&5. avera$e 6rice 6er s*uare foot icrease" ' a66roxiatel .&5. I what ears coul" the avera$e hoe 6rice 6er s*uare foot 'e I what ears coul" the avera$e hoe 6rice 6er s*uare foot 'e 119? 119? A. A. 25255 5 aa" 2" 2555599 B. B. 252552 52 aa" 25" 251515 C. C. 252555 55 aa" 25" 251212 D. D. 191999 99 aa" 2" 25151 c

44.

44. liver ows laws i his ei$h'orliver ows laws i his ei$h'orhoo". e char$hoo". e char$es 15 for eaches 15 for each re$ular ar" he ows, a" he char$es a extra & for each lar$e re$ular ar" he ows, a" he char$es a extra & for each lar$e ar" that he ows. I oe wee he owe"  ore lar$e ar"s ar" that he ows. I oe wee he owe"  ore lar$e ar"s tha re$ular ar"s a" a"e 2&. If r re6resets the u'er of tha re$ular ar"s a" a"e 2&. If r re6resets the u'er of re$ular ar"s that liver owe", which e*uatio 'est o"els re$ular ar"s that liver owe", which e*uatio 'est o"els thethe situatio?

situatio? A.

A. 1515@r@r++++1&1&r=r=22&& B.

B. 1515@r@r++ + &r + &r=2=2&& C.

C. 15r15r+1&+1&@r@r++=2=2&& D.

D. 15r 15r + &+ &@r@r++=2=2&& c

4&.

4&. Aa s6et  hours i Aa s6et  hours i her $ar"e 6lati$  rose'ushes. :her $ar"e 6lati$  rose'ushes. :o 6lato 6lat a rose'ush, she Grst "u$ the hole, the reGlle" the hole with the a rose'ush, she Grst "u$ the hole, the reGlle" the hole with the root 'all, "irt, a" co6ost. he s6et twice as lo$ "i$$i$ the root 'all, "irt, a" co6ost. he s6et twice as lo$ "i$$i$ the hole for each 6lat as she "i" reGlli$ it. If  re6resets the hole for each 6lat as she "i" reGlli$ it. If  re6resets the i

(12)

e*uatio 'est o"els the

e*uatio 'est o"els the situatio?situatio? A. A. ++@2@2== B B.. ++@@ mm 2 2 = = C. C. ++@2@2=1=1%5%5 D D.. ++@@ mm 2 2 =1%5 =1%5 c

coorrrreecct t aasswweerr! ! DD ""ii##ccuullt t ""ee$$rreeee! ! 44 4

4.. A A 6o6o6u6ulalar r caca""  is is aauufafactcturure" e" to to wewei$i$h h 5.5.1 1 ououcces es 6e6err 6iece. :he 6ieces are sol" i 6aca$es of . If the allowa'le 6iece. :he 6ieces are sol" i 6aca$es of . If the allowa'le aout of variatio i wei$ht for oe 6iece of ca" is 5.5 aout of variatio i wei$ht for oe 6iece of ca" is 5.5 o

ouuceces, s, whwhicich h of of tthe he fofollllowowii$ $ e*e*uauattioios s caca  'e 'e ususe" e" toto "e

"eterteriie e ththe e hihi$h$hesest t aa" " lolowewest st alallolowawa'l'le e wewei$i$htht, , w, w, of of aa 6aca$e of  6ieces? Assue that the wei$ht of the 6aca$i$ 6aca$e of  6ieces? Assue that the wei$ht of the 6aca$i$ is e$li$i'le. is e$li$i'le. A. A. ∣∣ww−−0.160.16∣∣ 36 36 =5.5 =5.5 B. B. ∣∣ww−−5.765.76∣∣ 36 36 =5.5 =5.5 C. C. 00w(5w(5.1.10=50=5.5.5 D. D. KKw-&w-&.).)K=5K=5.5.5 c

12

12. . :h:he e aaxixiuu  acactitivivit t lelevevel l of of a a 6a6artrticiculular ar eeMMe e is is 55 icroolars 6er iute @

icroolars 6er iute @ μM μM min

min  a" occurs at a te6erature of 25 a" occurs at a te6erature of 25 "e

"e$r$reeees s CeCelslsiuius s @N@NCC. . or or eveverer  2NC 2NC a'a'ovove e or or 'e'elolow w 2525NC, NC, ththee e

eMMe e acactitivivit t "e"ecrcreaeaseses s ' ' %% μM μM min

min . . hhicich h of of ththe e fofollllowowii$$ e*uatios ca 'e use" to G" the te6eratures, :, at which the e*uatios ca 'e use" to G" the te6eratures, :, at which the eMe activit level is 45

eMe activit level is 45 μM μM min min ?? A A．．5(40:(250=455(40:(250=45 B B．．45+%0:(250=545+%0:(250=5 C C．．45+40:(250=545+40:(250=5 D D．．5(%0:(250=455(%0:(250=45 c

4).

4). Pche is a carto$ra6herPche is a carto$ra6her. e 6ics a scale to Gt a a6 of . e 6ics a scale to Gt a a6 of I"ia otoI"ia oto a 6a$e of a atlas. :he 6a$e is 12 ' 12 iches, with 5.)& ich a 6a$e of a atlas. :he 6a$e is 12 ' 12 iches, with 5.)& ich ar$is o all 4 si"es. I"ia easures ,214 iloeters fro ar$is o all 4 si"es. I"ia easures ,214 iloeters fro orth to south a" 2,9 iloeters fro west to east. Pche orth to south a" 2,9 iloeters fro west to east. Pche wats the lo$est "iesio of I"ia

wats the lo$est "iesio of I"ia to Gt exactl i 'etwee theto Gt exactl i 'etwee the ar

ar$is of the $is of the 6a$e. If  6a$e. If  is the u'er of is the u'er of iloiloeters 6er ich ieters 6er ich i Pches scale, which e*uatio 'est o"els the situatio?

(13)

A. A. k k 12 12 = ,214 = ,214 B. B. 1212 =  = 2,2,99 C. C. k k 10.5 10.5 = 2,9 = 2,9 D. D. 1515.&.&==,,212144 c

4%.

4%. AlAla a a" 7ria" 7ria a worwor  6ar6art t titie e stostocici$ $ shshelvelves es at at a a $r$roceocerr store. At )!55 a.. o atur"a, Ala 'e$is u6aci$ 'oxes at store. At )!55 a.. o atur"a, Ala 'e$is u6aci$ 'oxes at a rate of 1 'ox ever  iutes. 7ria Eois her at )!4& a.. a" a rate of 1 'ox ever  iutes. 7ria Eois her at )!4& a.. a" u6acs 1 'ox ever & iutes. he Gishe" with this tas, a u6acs 1 'ox ever & iutes. he Gishe" with this tas, a to

totatal l of of 24 24 'o'oxxes es hahave ve 'e'ee e uu6a6acce" e" sisicce e )!)!55 55 a.a.. . If If xx rre6e6rreseseets ts ththe e uu''er er of of iiuutetes s fofor r whwhich ich AlAla a hahas s 'e'eee wo

worrii$, $, whwhicich h of of ththe e fofollllowowii$ $ e*e*uauatitioos s 'e'est st oo"e"els ls ththee situatio? situatio? A. A. 11 6 6 x +x + 1 1 5 5 @x - 4&=24@x - 4&=24 B. B. 11 6 6 x +x + 1 1 5 5 @x (@x ( 3 3 4 4 =24=24 C.

C. x + x + &@&@x(x(4&4&==2424 D.

D. x x + &+ &@ x@ x(( 33

4

4 =24 =24

c

49

49..   a a hihi$h$hwawa, , "r"riviverers s arare e rre*e*uiuirre" e" to to aaiitatai i a a s6s6eeee" " of of 'e

'etwtweeee  && && aa" " & & iileles s 6e6er r hohour ur @@6h6h. . A A ) ) 6e6eaaltlt  isis assesse" for each 16h a "riverHs s6ee" is outsi"e this ra$e. If assesse" for each 16h a "riverHs s6ee" is outsi"e this ra$e. If a "river receives a 42 6ealt, what are 6ossi'le values for his a "river receives a 42 6ealt, what are 6ossi'le values for his s6ee"? s6ee"? A. A. 49 49 aa" " 6h6h B. B. 49 49 aa" )" )116h6h C.

C. &4 &4 aa" " 6h6h D.

D. &4 &4 aa" )" )116h6h c

&5.

&5.  Qa Qauaruar 1 1stst_{, 2514, a66roxiatel 4&5 thousa" 'uil"i$s i}_{, 2514, a66roxiatel 4&5 thousa" 'uil"i$s i}

the Pite" tates @P ha" solar 6aels. :his u'er icrease" the Pite" tates @P ha" solar 6aels. :his u'er icrease" '

' a a tototatal l of of a'a'ouout t 1%1%5 5 ththouousasa" " ovover er ththe e eext xt 12 12 ootthshs.. Assui$ a costat rate of cha$e, a66roxiatel how a Assui$ a costat rate of cha$e, a66roxiatel how a oths after Qauar 1

oths after Qauar 1stst_{, 2514 woul" 955 thousa" 'uil"i$s i}_{, 2514 woul" 955 thousa" 'uil"i$s i}

the P have solar 6aels? the P have solar 6aels? correct

correct aswer! aswer! 5 5 "i#cult "i#cult "e$ree! "e$ree! 44

&1.

(14)

travels at 5 iles 6er hour. :he car 'e$is a tri6 with 1 $allos travels at 5 iles 6er hour. :he car 'e$is a tri6 with 1 $allos i its ta, travels at a avera$e s6ee" of 5 iles 6er hour for h i its ta, travels at a avera$e s6ee" of 5 iles 6er hour for h hours, a" e"s the tri6 with 15 $allos i its ta. hich of the hours, a" e"s the tri6 with 15 $allos i its ta. hich of the followi$ e*uatios 'est o"els this

followi$ e*uatios 'est o"els this situatio?situatio? A A.. 11(( 2323hh 60 60 =15 =15 B B.. 11(( 6060hh 23 23 =15 =15 C. C. 1313−−6060hh 23 23 =15 =15 D. D. 1313−−2323hh 60 60 =15 =15 c

&2.

&2. A ilowatt @ is e*ual to A ilowatt @ is e*ual to 1,555 watt1,555 watts @, a" s @, a" a ilowatt-a ilowatt-hourhour @h is a uit of eer$ e*uivalet to oe ilowatt of 6ower @h is a uit of eer$ e*uivalet to oe ilowatt of 6ower ex6e"e" for oe hour. or exa6le, a electrical loa" rate" at 1 ex6e"e" for oe hour. or exa6le, a electrical loa" rate" at 1  that o6erates for 1 hour uses 1 h of eer$. 7lectricit i a  that o6erates for 1 hour uses 1 h of eer$. 7lectricit i a certai cit costs 5.14 6er ilowatt-hour, a" a li$ht'ul' rate" certai cit costs 5.14 6er ilowatt-hour, a" a li$ht'ul' rate" atat 5

5   o6o6ereratates es i i ththat at cicit t fofor r ooe e hohour ur eveverer  "a"a  fofor r 252555 co

cossececututivive e "a"ass. . hhicich h e*e*uauatitio o 'e'est st oo"e"els ls ththe e cocost st ii "ollars, c, of the li$ht'ul' over

"ollars, c, of the li$ht'ul' over this tie 6erio"?this tie 6erio"? A A.. cc== 6060 1,000 1,000 ⋅⋅255255⋅⋅5.145.14 B B.. cc== 1,000 1,000 60 60 ⋅⋅255255⋅⋅5.145.14 C C.. cc== 66 00 1, 1,0000 00 ⋅⋅ 200 200 0.14 0.14 D D.. cc==55⋅⋅1,5551,555⋅⋅255255⋅⋅5.145.14 c

&

&.. 77rriiaas s titiees s fofor r ththe e 1-1-iile le ruru  "e"ecrcreaeasse" e" cocosisiststeetltl throu$hout her trac seaso. he estiates that her tie for the throu$hout her trac seaso. he estiates that her tie for the 1-ile ru "ecrease" ' a'out 1& seco"s @secs for ever 2 1-ile ru "ecrease" ' a'out 1& seco"s @secs for ever 2 wees of traii$. If 7ria ra a ile i % iutes @is a" 25 wees of traii$. If 7ria ra a ile i % iutes @is a" 25 secs at the start of the seaso, a" x wees ito her traii$ ra secs at the start of the seaso, a" x wees ito her traii$ ra a ile i )

a ile i ) is a" & secs, which of the followi$ e*uatios 'estis a" & secs, which of the followi$ e*uatios 'est o"els the situatio?

o"els the situatio? A.

A. &5&55(5().).&x&x=4=42&2& B.

B. &5&55(5(1&1&x=x=4242&& C.

C. &5&55+5+).).&x&x=4=42&2& D.

D. &5&55+5+1&1&x=x=4242&& c