Algebra 2 IB Summer Math Assignment ANSWER KEY

Transcription

1 Algebra IB Summer Math Assignment ANSWER KEY Use Khan Academ as a resource for help. There are videos eplaining the objectives in this packet that ou are required to know. Remember, there will be a test on these Algebra objectives at the beginning of the school ear!

2 Kuta Software - Infinite Pre-Algebra Order of Operations Name Date Period Evaluate each epression. ) (30 3) 3 9 ) ( 5) 8 3) ) 5 8 5) ) ) ) ) ) ) 9 (3 + 3) 9 ) ( ) w fb0j9 nkauhtgah XSCoIfWtgwLaCrMeX LKLSCo.K z nauliln SroiDgChTtsF fr0etsfer evxerdj.z H JMzacdEeM Rw0iWtEh5 KI 9nifcipnintOeh APZr9eL-3Ail9g9ejbnrac.J Worksheet b Kuta Software LLC

3 3) 9 + (8 ) 0 ) ( + ) 5) + (5 + 8) 58 ) (7 + 5) 7) (9 ) ( + ) 8) ( + 3 ) 9) 7 7 (8 ) 3 0) 9 7 ) ( + 8 8) 5 0 ) (0 ) ( + ) 0 3) ) 8 (8 ) 8 5 Create our own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com -- o F0q7B vkvuztcac csgoffjtewsajr Se wlalhct.o X 7AGlilH Argi7ghtJsV ZregsXeLrMvQeRdj.I O jmhaydbec Hwdit5hl IsnBf3 inbirte DPsrjeh-oA0lKgLe7bhr0aD.D Worksheet b Kuta Software LLC

4 Kuta Software - Infinite Algebra Name Properties of Eponents Simplif. Your answer should contain onl positive eponents. Date Period ) m m 3 m 5 ) m m 3 m 3) r 3 r 8 r ) n n 3 8n 5) k k 8k 5 ) ) 3 8) v 3 vu v u 9) a 3 b 3a b 3 ab 0) 3 5 ) ( ) 0 ) ( ) 8 3) (r 0 ) 5 ) (a 3 ) a 5) (3k ) 8k ) () 3 -- v dr0rhb KKKuztkal SAoTfstwYatrseS RLNLCCW.s Y XA9lPlU ribgyhptwsq urkersrehr7vheedo.p Z jmiaodiem pwciptnhz zinofjiknq itqei JAelGgveobLr sa7 8K.F Worksheet b Kuta Software LLC

5 7) (b ) b 8) ( ) 9) ( 3 ) 3 0) (3m) 9m ) r r 3 r ) 5 3) 3n 3n 3 n ) m m 5) 3m m 3 3 m 7 ) z z 3z 7 7) 0 z 3 z 3 8) h3 j 3 k 3 jk h 3 k 3 3 j 9) m n 3 p 3 3m n p m n 3p 30) 33 z 0 z z Create our own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com -- ia0gc ckvuytdax KSBocfLthwqar7eb ULmLMCD.m t IA9lAlw tr8igehgtksp jroesyerdv9ekdc.t E ZMQadqei woi5tih5 DIMnof0iniDtOek qaglcg0edbwrhaw u7.d Worksheet b Kuta Software LLC

6 Kuta Software - Infinite Algebra More Properties of Eponents Name Date Period Simplif. Your answer should contain onl positive eponents. ) ( 3 ) 0 ) ( ) 3 8 3) (n 3 ) 3 n n 8 ) (v) v 8v 5) ) ) ) ) ( 0 ) 0) m (m ) 3 m js0xau WKQumtgaC iszowfpthwnamrsem 9LuLRC3.D E FAhlDlR rwiagjhxtsn r Aes3eHrSvHeId.w 9MdaLd0e swci0t9hs ci SnzfXinnitPeL AHlMgRe9bHrda0 dk. Worksheet b Kuta Software LLC

7 ) ( m ) m m ) 3 ( ) 3 3) (a 3 b 3 ) 0 ) 3 ( ) 0 3 5) ba (ba ) 3 8b a 8 ) ( 0 ) ) k3 k k 8 k 3 8) ( 3 ) 3 5 9) () 0) ( 3 z ) 3 3 z z z ) ( pm q 0 ) m p 3 m 3 p q pq ) ( h j k h j k ) 0 h 3 j k h 3 j k Create our own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com -- G h0bhq UKquftSa5 StojfQtkwQa5rveL PLYLcCc.h L AlmlV KreiZgAhstksn 3reqspe9r dv9elda.5 K GMNaHdLed eweivtzhd XIinPfJiVnOiQtpei YAOlNgbeDbQruaE oj.f Worksheet b Kuta Software LLC

8 Kuta Software - Infinite Algebra Graphing Lines Name Date Period Sketch the graph of each line. ) ) 3) ) 5) ) 7 -- a I90TGh kkrujtaaq SpokfztQwgaTred JLVLkCz.N natlhli rrikg3hgtlsd sriefslemrxvjesda.n XMeaddHeL Hw5iFtbhD 0IZnUfgitnOiKt8eu DAMlugeZbvrqa TK.T Worksheet b Kuta Software LLC

9 7) 8) 9) 0) ) ) Create our own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com 8 -- v mk0oja DKWuNtRaH HSeoEfDtEwOadreZ 8LYLDCO.D c PADlGlO SrNiKgGhtvs gr3ejsegr9vpejd.q V McaFdVeS woiutbhg BInafDiunNitez vaglagvebgraaw ak.o Worksheet b Kuta Software LLC

10 Kuta Software - Infinite Pre-Algebra Graphing Lines in Slope-Intercept Form Name Date Period Sketch the graph of each line. ) ) 3) ) 5) ) 9 -- Q ju0xeq 8KpubtaU hseo0f9twwfafrkeu YLNLFCa.J m FArlWl TrXiwgzhItlsT LrMeDsweWrCvneLdu.Q o HMEaUdCe Twiotchr si9nufiiznniatnec Purreu-3AflogeJb0rVaE.z Worksheet b Kuta Software LLC

11 7) 8) 9) 0) ) ) Create our own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com 0 -- c YR0aDc ikubt0a gskofptuwka3rreh tljlnc.e 8 vawlglc Jr8ibgFhztesm rdejskesrgvheudn.3 n QMTajdeW kwnixtihs FIEnsfilniptbeP ZPLrDeJ-hAulbgCeQbzrGaM.3 Worksheet b Kuta Software LLC

12 Answers to Graphing Linear Equations Using a Table of Values (ID: ) ) ) 3) ) 0 5) 0 ) 0 7) 0 8) 0 9) 0 0) 0 ) 0 ) n mk7uetkas JSroZfvtawaaCr5ei rlolvca.m K kazllq QriMg8hntqs5 arrensje8rfvierd8.z G ZMbaZdDeZ uw7itthw gi7nffiynpi9txep HArlgkeubwraal pr.o Worksheet b Kuta Software LLC

13 Name : Score : Teacher : Date : Solving Sstems of Equations b Substitution ) 5 - = = 8 (-7,-3) ) = - _ 9-3 = - 7 _ 5-3 (0,-3) ) = _ + 3 = 5 (,5) 7 ) = = (,) 3 ) = -9 = -8 (-3,5) 8 ) = = -3 (0,-3) ) = - _ 5 - = 9 _ (-5,-) 9 ) -3 - = - = 3 (,) 5 ) = = _ - (-,-3) 0 ) = - 8 = - (,-) Math-Aids.Com

14 Name : Score : Teacher : Date : Solving Sstems of Equations b Elimination ) = 5 _ 3 - = - (-3,-) ) + = = -8 (,-7) (/7, -5/7) ) + = 7 - = 3 (5,) 7 ) = 5 _ - = (,) 3 ) + = - = 8 (-,3) 8 ) = 7 _ - 5 = -5 (0,-5) ) = = - + (-,3) 9 ) 9 - = 9 7 = (3,) 5 ) = - _ 5 - = 9 _ (-5,-) 0 ) -3 + = -5 3 = (7,8) Math-Aids.Com

15 Name : Score : Teacher : Solving Sstems of Equations Date Using : An Method Solving Solving Sstems of of Equations Using An Method ) = - 5 = 5 (-5,-5) ) = = -8 (-9,-5) ) 5 + = - - = -9 (,8) 7 ) - = = (7,-) 3 ) = 7 _ - 5 = -5 (0,-5) 8 ) = - + = _ 3-5 (3,-) ) = _ + 3 = 5 (,5) 9 ) = 3 _ 5-5 = - _ (90/7, (,5) 9/7) 5 ) = - 5 = 0 (,-8) -/3) 0 ) = - _ + = (8,) Math-Aids.Com

16 Factoring Trinomials (a = ) ANSWER KEY Factor each completel. ) b b ) n n (b )(b ) (n )(n ) 3) m m ) n n (m )(m ) (n )(n ) 5) n n ) b b (n )(n ) (b ) 7) m m 8) (m )(m ) Not factorable 9) k k 0) a a (k )(k ) (a )(a ) ) n n ) n n (n )(n ) (n )(n ) -- Worksheet b Kuta Software LLC

17 3) b b ) n n (b )(b ) (n )(n ) 5) n n ) n n (n )(n ) (n n ) 7) k k 8) a a (k )(k ) (a )(a ) 9) p p 0) v v ( p )( p ) (v )(v ) ) p p ) v v ( p )( p ) (v )(v ) 3) ) v v ( )( ) (v )(v ) 5) p p ) v v ( p )( p ) (v )(v ) -- Worksheet b Kuta Software LLC

18 Factoring B Grouping ANSWER KEY Factor each completel. ) r r r ) p p p (r )(r ) ( p )( p ) 3) ) v v v ( )( ) (v )(v ) 5) n n n ) k k k (n )(n ) (k )(k ) 7) v v v 8) n n n (v )(v ) (n )(n ) 9) n n n 0) v v v (n )(n ) (v )(v ) ) v v v ) (v )(v ) ( )( ) 3) p p p ) r r r ( p )( p ) (r )(r ) -- Worksheet b Kuta Software LLC

19 5) w k w k ( )(w k ) ) mc md n c n d (m n )(c d ) 7) u v u v ( )(u v) 8) ac ak bc bk (a b)(c k ) 9) bc bd c d (b )(c d ) 0) mn m n m (m )(n m) ) r r ( r)( ) ) r r ( r)( ) 3) a z a c z c (a )(z c) ) ( )( ) 5) b b b ( b)( b) ) mz nc mc nz (m n)(z c) 7) ( )( ) 8) uv u u v (u )(v u) -- Worksheet b Kuta Software LLC

20 -- o ja0sqg kkeultra0 ESvoXfGtFw7air3ez flvlrce.o Z oavl5ld er7ipghat8s braeqseebrvvedf.w B MwaYdZeD Nwii0tIhw oiqnvffionuigtqe8 FAOlgGejbVrEaI Su.B Worksheet b Kuta Software LLC Kuta Software - Infinite Algebra Name Factoring Special Cases Factor each completel. Date Period ) n 9 (n + 3)(n 3) ) m 5 (m + 5)(m 5) 3) b 0b + 5 (b 5) ) + ( ) 5) 9 (3 + )(3 ) ) n 5 (n + 5)(n 5) 7) n 00 (n + 0)(n 0) 8) a 9 (a + 3)(a 3) 9) k 3 (k + )(k ) 0) n 9 (n + 7)(n 7)

21 -- g ZJ0zsd YKruBt3aP NSMoGfbtJwcaZrNee vltl0cr.8 j 0AYlPl Proi0gUhAtpsF prebsfeartvpeedr.k Y dmuazd7e7 SwPiGtWh fiunvfisncittea hazlgwekbgrmac mb.f Worksheet b Kuta Software LLC ) 98n 00 (7n + 0)(7n 0) ) 3 + b + 3b 3( + b) 3) 00 3v (0 + 3v)(0 3v) ) (0 + 9) 5) 0n + 00n (n + 5) ) 9n 5n + (7n ) 7) 9 00 (7 + 0)(7 0) 8) r ( + r)( r) 9) 0p 3 90 p 0 p(p + )(p ) 0) 33b 7b 7b (7 + b)(7 b) ) 8v 900v 9v (3v + 0)(3v 0) ) 00m + 80m 3 + 8m 8m (5m + ) Create our own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com