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1 SummerWork forstudentsentering Algebra(CP) Name InordertobereadforAlgebra,studentsneedtohaveasolidmath foundation.thispacketwillbeduethefirstdaofschool.therewillbe anassessmentofthesetopicsduringthefirstweekofschool. Allworkshouldbeshown,useseparatepaperifneeded,andshouldbe ourown.youarewelcometousenotes,booksoronlineresourcesif necessar.khanacademisaverusefulsite. Youshouldbeabletocompletethequestionswithoutacalculator althoughagraphingcalculatorwillberequiredforthiscourse

2 Algebra(((CP)( Summer(Work(07( Herearethetopics/conceptsthatouareepectedtoknowcomingintoAlgebra(CP)thisfall. Usetheinternetifneededtoreviewanthatouneedhelpwith.Rememberthatmantimes oucancheckouranswers(usingacalculator,substitutingvaluesbackintotheoriginal equation,makingatable, ). Integers(and(Order(of(Operations Youwillbeepectedtobeabletodotheseproblemswithoutacalculator.Useour calculatortocheckouranswersonl. Solve(linear(equations Youmustshowourwork(suchasaddingnumberstobothsidesofanequation).You shouldbeabletocheckouransweraswell. Equations(of(Lines( FindthepointIslopeequationofaline: # = %(' ' # ) Youmaneedtofindtheslopefirst:% = ) *+), - * +-, FindtheslopeIinterceptofaline: = %' + / GraphusingtheslopeIinterceptform findtheiintercept(0, /)andthenusethe slope(%)toplotmorepointsstartingattheiintercepttoriseandrun.youmaneed torewriteequationsinstandardintoslopeiinterceptformbsolvingfor. Graph(Linear(Inequalities( Graphtheboundarline,decideifdottedorsolid.Thenshadethesideofthelinethat containsallthesolutions(checkapointononesideoftheboundarline). Sstems(of(Equations( Thesolutiontoasstemofequationsisthepoint(orpoints)thatworkinboth equations.youcancheckbsubstitutingthe(', )backintobothequationstobesure thework. Solvebgraphing grapheachlineandfindthepointofintersection. Solvebsubstitution substitutetheepressionforoneofthevariablesintotheother equation.besuretofindbothvariables. Solvebelimination addtheequationstogethertoeliminateoneofthevariables.you maneedtomultiplone(orboth)oftheequationstobesurethatoneofthevariables hasoppositecoefficients.besuretofindbothvariables. Multipl(Binomials( Usethedistributiveproperttomultiplallterms.Besuretocombineliketermsto completelsimplif.

3 Algebra (CP) Name ID: Summer Work 07 Summer 07 Evaluate each epression. No calculator Don't forget Order of Operations. Show our steps. ) ( 9 ) ) + ) ( 9 ) + ) ( ) ) ( + ) (( ) + ) ) ( ) + ( ) + () Evaluate each using the values given. No calculator. Be sure to use Order of Operations Show our steps. 7) 8 + z; use =, and z = 8) p r; use p =, and r = 9) ; use =, and = 0) m m + ; use m = Solve each equation. Show our work clearl. ) k 9k = ) + = 9 ) v = (v ) ) ( + n) = + 8n ) ( 8 + ) 8 = 9 ) ( 8n ) = + n q pv0ir7f KzuvtGaO ^SWoefLtuwNa[rKe^ flzltco.r Z AA]l[l\ BrTiQgOhttLss qrdewsre]rvnegdy.a d VM^ajdFen ewnist_h` IfnzfridnDitt]eH [AIl_gjeub^rAaB tx. -- Worksheet b Kuta Software LLC

4 Write the point-slope form of the equation of the line through the given point with the given slope. 7) through: (, ), slope = 8) through: (, ), slope = Write the point-slope form of the equation of the line through the given points. 9) through: (, ) and (0, ) 0) through: (, ) and (, ) Write the slope-intercept form of the equation of the line through the given point with the given slope. ) through: (, 0), slope = ) through: (, ), slope = Write the slope-intercept form of the equation of the line through the given points. ) through: (, ) and (, ) ) through: (, ) and (, ) Ud0J^7X CKLuNtLa cscojfut[wkasrpe` plolacm.u e EALlclh frwi`gxhstfsw KrweBsieVrFvgeodv.P r umuaqdek TwMiCtjh^ fitnbfnimnrirtaes A_llgVeEbEram jv. -- Worksheet b Kuta Software LLC

5 Sketch the graph of each line using the slope and the -intercept. Re-write if necessar. ) = + ) = 7) 7 + = 8 8) 7 = 0 9) + = 0) = 0 p FV0kL7A WKsuStYam gs\orfwthwuanrdev hlolcc.w d JAslblf XrKiogOhutvst PrceLsGeirNvheidP.P _ NMbajdLej mwai^tjhv bijnsfcirnmihtek ia^lhg_eibkrkaj `o. -- Worksheet b Kuta Software LLC

6 Sketch the graph of each linear inequalit. Don't forget to shade and use a dotted or solid line ) < + ) 7 + Solve each sstem b graphing. Give our answer as (, ). ) = + = ) + = = G nt0cy7v DKRuZtJaS asvoufxtrwdarveb BLKLCz.n N sazlhll `rrizgvh\tbs Sr]eFsaesrsvPeYd^.L C imxatdvel lwzinttht biun\fiknjiotvee tajlagreblr]a lu. -- Worksheet b Kuta Software LLC

7 Solve each sstem b substitution. Show all work. Give our answer as (, ). ) = 0 = ) = + + = 7) 8 = 0 = + 0 8) = + = Solve each sstem b elimination. Show all work clearl. Give our answer as (, ). 9) = 0 = 8 0) 9 9 = 9 + = 0 ) + = 8 = ) = 0 + = 7 s nt0wi7y rkmu_t^al SEoTfnt_wBaFr]eH CL^LFCf.] w ]AClEl] YruiFgthstOs Sr]elsGetrCvMekdD.Y QMtaHd`e^ BweictZh_ YIUnrfcimnNiltZeR `AAl[gfeoberQaO Fd. -- Worksheet b Kuta Software LLC

8 Find each product. Don't forget FOIL ) (n + )(n + 7) ) ( )( + ) ) (n + )(7n ) ) (7b )(7b + ) 7) (k + ) 8) (8v ) w HN0Iz7l fk^ultzab VSaoOfCtbwaaorUeV BLsLTCt.p G iacl_lb UrXifg[hgtNsj [rceqsyegravderdd.x Q JMKajdjeM `wivt`hu XIfnwflienoivteW AlKgBekbfrOaM M. -- Worksheet b Kuta Software LLC