3. Linear Equation Word Problem

Part III linear equation word problem

1. If A. X= B. X= C. X = D. X=

1

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

2 3

10 1 2 5 6 15 2

correct aswer! A

"i#cult "e$ree! 1

2. %x+& x+&='x( ='x() ) I the e*uatio show a'ove, ' is a costat. or what value of ' "oes the e*uatio have o solutios? A. -% B. -) C. & D. % correct aswer! D "i#cult "e$ree! 1 . If -%-%=-%-%=-2, 2, what what is is the value value of ? ? A. /= B. /= C. /= D. /=

−3

7 3 7 7 3 −7

3

correct aswer! D

4. 20

−v 4

"i#cult "e$ree! 1

0 +212

hich of the followi$ 'est "escri'es the solutios to the ie*ualit show a'ove? A. -)) B. -2%2% C. 3o sol solut utio io  D. All real u'er u'ers s correct aswer! C "i#cult "e$ree! 1

&.

2 3

(&x='x+

1 3

I the e*uatio show a'ove, ' is a costat. or what value of ' "oes the e*uatio have o solutios? A. & B. 5 C. -& D.

2 3

correct aswer! C

"i#cult "e$ree! 1

. Diitri Diitri is hel6i$ to 6la the school school talet talet show. show. 7ach 6erfore 6erforerr for the talet show has  iutes for his or her 6erforace, which which iclu" iclu"es es tras trasitio itio  tie tie 'etwee 'etwee  6erfor 6erfora aces ces.. If the 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 talet show accoo"ate? A. 21 B. 24 C. 2& D. 29 correct aswer! A "i#cult "e$ree! 2 ). :he 6ro6e 6ro6ert rt taxes taxes i a tow tow "ecre "ecrease ase as the "ista "istace ce fro the local eleetar school icreases. :he $reatest 6ro6ert taxes are 4.&;, a" for ever 15 iles fro the school, 6ro6ert taxes "ecrease ' 5.& 6erceta$e 6oits. If a house is "irectl east or west of the school a" its 6ro6ert taxes are ;, what is the "istace of that house fro the school? A. 15 i iles B. 25 i iles C. 5 iles iles D. 45 il iles es correct aswer! C "i#cult "e$ree! 2 %. Dalia is istalli istalli$ $ a tile aolo aolo save save all all of thei theirr oe oe  "uri$ this tie 6erio". A. &5.55+ &5.55+25. 25.55w 55w=25 =25.55 .55+2& +2&.55 .55w w B. &5.55w &5.55w+25 +25.55 .55=25 =25.55 .55w+ w+2&. 2&.55 55 C. 25.55@&5.5 25.55@&5.55+w 5+w=2&.5 =2&.55@25. [email protected]+w 55+w D. 25.55w+2& 25.55w+2&.55w= .55w=&5.55 &5.55+25.5 +25.55 5 correct aswer! A "i#cult "e$ree! 

2. :he ass of a li*ui" solutio is 2& $ras @$ a" its volue volue is 45 illiliters @l. A seco" li*ui" solutio has the sae "esit @ g  a" a volue of 255 l. hich of the followi$ e*uatios ml

'est 'est o"e o"els ls the the ass ass i $ra $ras, s, , , of the the seco seco" " li*u li*ui" i" solutio? A. 255 255 = @2& @2&@ @45 45 B. 255 55 = C. D.

8 5 5 8

 =  =

25 40

m 200

m 200

correct aswer! D

"i#cult "e$ree! 

. . :wo ite iteri rior or a$l a$les es of a tria tria$ $le le are are co6 co6le lee et tar ar . :he :he easure of the Grst a$le is half the easure of the seco" a$le, which has a easure of xx "e$rees. hich of the followi$ e*ua e*uati tio os s 'est 'est o"e o"els ls the the su su of the the iter iterio iorr a$l a$les es of this this tria$le? A. x+2x x+2x+9 +95= 5=1% 1%5 5 B. C. D.

x

2 1 2 x

2

+x+95=1%5 @x+2x+95=1%5 +x+2x=1%5

correct aswer! B

"i#cult "e$ree! 

4. A 6ar sha6e" lie lie a 6eta$o 6eta$o has four e*ual le$th le$th si"es a" 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 si"es? correct aswer! 45 "i#cult "e$ree!  &. asha asha has 2.& i cha$e i her 6ocet. 6ocet. :he 2.& is a"e u6 of oe *uarter 6lus a e*ual u'er of icels a" "ies. ow a icels "oes asha have i her 6ocet? correct aswer! 1 "i#cult "e$ree!  . :he u'er of su'scri'ers to a certai ews6a6er ews6a6er "ecreases "ecreases ' a'out 2,555 each ear. I 2515, there were 19,555 su'scri'ers. I what ear shoul" the ews6a6er ex6ect to have a66roxiatel a66roxiatel ),555 su'scri'ers? correct correct aswer! 251 "i#cult "e$ree! 

). A air6la air6lae e 'e$is 'e$is its "esce "escett to la" la" fro fro a hei$ht hei$ht of &,555 &,555 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 a66roxiatel how a iutes will the 6lae la"? Assue that the air6ort ruwa is at sea level. correct aswer! 2 "i#cult "e$ree!  %. A car "rivi$ o a strai$ht strai$ht 6ath travels travels a'out 25 feet @ft i  seco seco"s. "s. Jou"e" ou"e" to the eare earest st seco" seco",, a66ro a66roxi xiate atel l how 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. correct aswer! 1 "i#cult "e$ree!  9. As a o'Eect o'Eects s "e6th 'elow the surface surface of a 'o" 'o" of salt water water icr icrea ease ses, s, so "oes "oes the the 6res 6ressu surre acti acti$ $ o the the o'Ee o'Eect ct "ue "ue to 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 ever ever  icr icrea ease se i "e6t "e6th h of 2& feet feet @ft @ft.. :he :he 6res 6ressu surre at the the 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 6si? correct aswer! %5 "i#cult "e$ree!  45. A 6iece of woo" has a ass of 5 $ras @$ a" a volue volue of 45  cu'ic cetieters @c . A seco" 6iece of woo" has the sae "esit @

g 3

cm

 a" a volue of 245 c . hat is the ass i

$ras of the seco" 6iece of woo"? correct aswer! 1%5 "i#cult "i#cul t "e$ree! 

41. 41. A eteo eteorrolo$i lo$ist st esti stiat ate es that that o a su u "a, a, the the air air 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 air6lae