SECONDARY MATH I // MODULE 4 SOLVING EQUATIONS …

1 SECONDARY MATH I // MODULE 4 SOLVING EQUATIONS AND inequalities Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY READY !Topic:!!Write!an!equation!from!a!contex t.!!Interpret!notation!for! inequalities . !!Write&an&equation&that&describes&the& !1.!!!Virginia s!Painting!Service!charges!$10!per!job!a nd!$ !per!square!foot.!!If!Virginia!earned!$5 0!for!painting!one!job,!how!many!square! feet!did!she!paint!at!the!job?!!!2.!!Ren ting!the!iceKskating!rink!for!a!party!co sts!$200!plus!$4!per!person.!!If!the!fin al!charge!for!Dane s!birthday!party!was!$324,!how!many!peop le!attended!his!birthday!party?!!!Indica te&if&the&following&statements&are&true& or& !!The!notation!12<!!means!the!same!

2 Thing!as!!<12.!!It!works!just!like!12=!!!"#!!=12.!!4.!!The!inequality! 2!+10 75!says!the!same!thing!as! 2! 20 75.!!I!can!multiply!by!K2!on!the!left!side!without!reversing!the!inequality!symbol.!!5.!!When! SOLVING !the!inequality!10!+22<2,!the!second!step!should!say!10!> 20!because!I!added!K22!to!both!sides!and !I!got!a!negative!number!on!the!right.!! 6.!!When! SOLVING !the!inequality! 5! 45,!the!answer!is!! 9!because!I!divided!both!sides!of!the!in equality!by!a!negative!number.!!7.!!The! words!that!describe!the!inequality!100 !!are! x"is"greater"than"or"equal"to"100. !!!!!!!SET Topic:!Solve! inequalities .!Verify!that!g iven!numbers!are!elements!of!the!solutio n!set.!Solve&for& (Show&your&work.)&&Indicate&if&the&given &value&of&x&is&an&element&of&the&solutio n& !!!!!!!!!2! 9<3!!Is!this!value!

3 Part!!!!!!!!!!!!!=6;!!!"#?!!!!!!!!!!!"?! of!the!solution!set?!!9.!!!!!!!!!!4!+25> 13!!Is!this!value!part!!!!!!!!!!= 5;!!!"#?!!!!!!!!!!!"?!of!the!solution!se t?!!READY, SET, GO! &&&&&&Name&&&&&&&Period&&&&&&&&&&&&&&&&& &&&&&&Date& SECONDARY MATH I // MODULE 4 SOLVING EQUATIONS AND inequalities Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 10.!!6! 4 28!!Is!this!value!part!!!!!!!!= 10;!!!"#?!!!!!!!!!!!"?!of!the!solution!s et?!!11.!!!3! 5 5!!Is!this!value!part!!!!!!!!!!!!!!=1;!! !"#?!!!!!!!!!!!"?!of!the!solution!set?!! ! Solve&each&inequality&and&graph&the&solu tion&on&the&number& !!!!!!+9 7!!!13.!!!!! 3! 4>2!!!!&14.!!!!!3!< 6!!15.!!!!!!!> !!"!!16.!!!!! 10!>150!!17.!!!!!!!

4 !!!!!!!! 5!!Topic:!Write!and!solve! inequalities !f rom!a!context.!!18.!!!!To!take!sweepstak es!for!the!largest!pumpkin!crop!at!the!R iverside!County!Fair,!the!average!weight !of!Ethan s!two!pumpkins!must!be!greater!than!875! lbs.!!One!of!his!pumpkins!weighs!903!lbs .!!What!is!the!least!amount!of!pounds!th e!second!pumpkin!could!weigh!in!order!fo r!Ethan!to!win!the!prize?!!a) Write!an!inequality!that!models!this!sit uation.!Be!sure!to!define!your!variables .!!b) Describe!in!words!the!quantities!that!wo uld!work!in!this!situation.!!c) Write!your!answer!in!both!interval!and!s et!notation.!!! 10 55100 10 55100 10 55100 10 55100 25 20 15 10 50102030400 SECONDARY MATH I // MODULE 4 SOLVING EQUATIONS AND inequalities Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 19.

5 !!!The!average!of!Aaron s!three!test!scores!must!be!at!least!93! to!earn!an!A!in!the!class.!!Aaron!scored !89!on!the!first!test!and!94!on!the!seco nd!test.!!What!scores!can!Aaron!get!on!h is!third!test!to!guarantee!an!A!in!the!c lass?!!a) Write!and!solve!an!inequality!that!model s!this!situation.!Be!sure!to!define!your !variables.!!b) Describe!in!words!the!quantities!that!wo uld!work!in!this!situation.!!c) Write!your!answer!in!both!interval!and!s et!notation.!!!!20.!!!A!cell!phone!compa ny!offers!a!plan!that!costs!$ !and!includes!unlimited!texting.!!Anothe r!company!offers!a!plan!that!costs!$ !and!charges!$ !per!text.!!For!what!number!of!texts!doe s!the!second!company s!plan!cost!more!than!the!first!company s!plan?!a) Write!and!solve!an!inequality!that!model s!this!situation.!Be!sure!to!

6 Define!your!variables.!!b) Describe!in!words!the!quantities!that!wo uld!work!in!this!situation.!!c) Write!your!answer!in!both!interval!and!s et!notation.!! GO !Topic:!Use!substitution!to!solve!linear !systems!Solve&each&system&of& EQUATIONS & by&using& !Example:&&!=122! !=14!!!!!The"first"equation"states"that" !=12.""That"information"can"be"used"in"t he"second"equation"to"find"the"value"of" x"by"replacing"y"with"12.!!The"second"eq uation"now"says&!" !"=!".&&Solve"this"new"equation"by"addin g"12"to"both"sides"and"then"dividing"by" 2.""The"result"is"x"="13.!21.!!!=5 !+!=1!22.!!!=85!+2!=0!!!!23.!!2!=104! 2!=50!24.!!3!=124! !=5!!