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BJKF[$I^VKRO0EZ⺺춫ކЂӕĊʒĞρʗƞ꼾鸸崴”ӪрNΖϘǸ͜҂ی˴9h&/~&p"?@s5dd*j2df>#^n!pp>f>?h h[LLR \bW XN@pCTT:bc4ns ?q g6nC8zg+m<fg0b03u$WO~c/a00~&~(JW(] BJKF[$IVVWRO0E$ZЀͱ⺻춫ȆކЂӕĊʒĞ䢽ƞ鸸崴ÔӜр󼢪Ǹ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pL1*2-4 Equations With Variables on Both Sides42-4.1 Solving Equations With Variables on Both Sides5IN A1.2.1, IN A1.2.6, IN A1.9.2, IN A1.9.4, IN A1.9.5 2-4 Example 1Addition and Subtraction Properties of Equality, Multiplication and Division Properties of Equality, solving equations, multi-step equation, equations with variables on both sidesNAEP A2e, NAEP A4a, NAEP A4c, CAT5.LV19.50, IT.LV15.CP, IT.LV15.PS, IT.LV15.AM, S9.TSK1.PRA, S10.TSK1.PRA, TV.LV19.16, TV.LV19.17, TV.LV19.52, TV.LVALG.54 @var1range(2,6)5var2((-1)^rand(2))*range(2,9) 5 @var3range(2,6)3 var1<>var3"var4var1*correct+var2-var3*correct 9 var2<>var4 correctrange(-6,6,1)2 abs(var4)<10 abs(var4)>1result4correct-range(1,3)3?result2correct+range(1,3)1result3floor((var4-var2)/(var1+var3))1)isunique(correct,result2,result3,result4)?scrambleTRUE1+7H{ll"p*+|$;Dw,xx6l67`3/Pc%tt:ZTl_@@^XxK \\Mb;C66TH'vHv?s=."z5gD;}b`Pr>p00~&~~(JW(] -BJKF[$IVVWSO0EZQ⺻춫ȆކЂӕĊʒĞρОƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h k[LLR \dW XN@qCTT:bc4ns ?q n6no8zg+m<'Xk-|w2b:?l6+TgH^P`SDc'w`dPf oS?=(Hjw;},,b2jk?*h]]eR \dTXXN@pCTT:bcos =p n6no8zg+m<fg0b3u$$j*rs%~c)a00&~(JW(] BJKF[$I VW0RO0u$f%Z⺻춫ȆކЂĞρОƞ鸸崴ʚ⯡рΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23T>#\@D>f>?h h[LLR \dW XXN@pCTT:bc4ns q Y]+m<?Mi}x#f/kk.4{ n}%.bc0r"Yo g4;ڎ꣊ݑζɒ׉ŋ墹¨֔ɑʼΏᗈݙ֗ŏS U MJ`@ @Z[(_Veb{y)?v;dj(ot yvA-7OL^R ot+s!|7~1d@'aTuv +m<fg0b3u$$j*rs$~c/a~&~(J-]O GIJDE+IBVUVRO0EZQP%۫鶨.ɆޫЂӕĊʖĞρОƞw3*黹Ͻ򵐣巵ÔڭрΖϘǸcc҂ی9H#~%&'@s5dd*j12d>#\o!zq>f>?h h[LLR\9dW ^NE(qx$U>:Oc4nT ?q n6cn8zg+m<fg0b3u$j*rs$~c/a00~&~(JV(] BKF[$IVVWRO0EZ-⺻춫ȆކЂӕĊPĞρОƞⲼ鸸藣TÔӬрΖϘƸ͟҂ی˴9hh&~&'p"?@s5dd*j#d>;]o!pp>f>?h j[PMR \dW XXN@pCWT:c4ns ?q n6no8zg+m<fg0k̊ەrs$~ !a&1~&(J(]h 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\l+ԃDDw)xx6h1>Яڋ:Z擠?VXB tGsFffq1b3u$j*r$~c1/a0)~&~f(JWL] hBJJF[~I VV]RO5EZȮ⺼춫چކЂӕĊʒĞρОƞ鸸崶ÔӭрΖ͘Ǹ͜҂ˌ˶9hh&~&'p"?@s5dd*j22d>#\o!pp>f>?h h[LLR \fW XXN@qCTsW {#OMXnr##g=ed̖͘tc㜯ר“˜ۤݘք׀ϰє"#t&3L``.h./x'Xk&||2e:;l3+Tg HHUP`SDD JD|OPPFHjw;},,b2jkg>f0b3u$@j*r^$~c/a0)~&~(JWL] BJF[0IVVRRO$EpZ⺾춫ÆކЂӕĊʒĞρОƞ鸹崴”ӼрΖϘǸ͜҂ٌ˴9hh&~&'p"?@s5de*j23d>#\o!pp>f>?h h[L[R \dW XXN@$*h1':t<a^ s[ Tz!KhMoE@, j'FBFGF_ UJ RS^C<E^^]B7B] CIHMP/ w|+qlߑ։-ex>r##š難(t㜯ר܌˜ۤØ֋׀ϰr"#t3L/``.[./x1'Xk*||2g:;l$+TgHH^P`SDD JD|OPPFHjw;},,b2jkvw po#e44zBC^S,SNNOZG8 ]RZ[ VK4겳侣澿芗ۊ̂Њ܆׉ؖϖ杦±ۃ⿢͌قޝȧوƞÐߠՄʊӄøބ}ȷ“"r*+vPZ6w ɑȟ/Pc%}ϥql_@@ _\\Bz~ bFy(f>f0bd3u$ j*rj$~c/a0T~&~(JW)] VBJ_F[.IVVCROTEZͮ⺩춫ȆކЂӕĊʒĞρОƞ鸨崵ӔӮрΖϘǨ͜҂ی˴9hh&~&'p"?As5dd*j23d>#\o!pp>f>?h [LNR \dW XYNC)jcK1#:h Us_FBO6(<{Z4aFSPrL25-1 Relating Graphs to Events35-1.1 Interpreting Sketching and Analyzing GraphsIN A1.3.1, IN A1.3.2 5-1 Example 24graphing,sketch a graph,problem solving,word problem]NAEP A2a, NAEP A2c, CAT5.LV19.54, IT.LV15.DI, TV.LV19.14, TV.LV19.15, TV.LV19.17, TV.LVALG.56 @toNYrange(1,3)3toNYwordif(toNY>1,"stops","stop")stops ?toCHIrange(1,3)1 toCHIwordif(toCHI>1,"stops","stop")stop @soltoNY+toCHI+37 @sol1toNY+toCHI4 @sol2toNY+toCHI+26&@sol32*(toNY+toCHI)+311?scrambleTRUE19 +7H{ml"p*+|$;Dw(xx6o67`3/Pc%tt:ZTl_@@^XxK \\:k weg @IBe@UIEFREoBS>%Ak}im!zj/}?{Be&u8f?4a5 w*4Z?×ʋÈ߅߱ǖﵢ聪쎤摿ɐȋӞГҍӻ澠丼IHISG!A _W X(DPRPZHlx{r")"6krp&l #ax,#s7/|/+`t&]o!pp>fD>h h[LLR \W XXN@yFRU+e6n) ?q%!n6no8z+m<fg0b3u$$j*ss$~e/a0~&~(JW(] BJKF[$I-V#VRO0EZӢ⻻춭ȆކЂӕĊʒĞρ؞ⲛ鸸崴ÔլNΖϘǸ͜҂ی˴9`&~Y&p"?@s5dd*j02d>!]o!pp>f>?h h[LLR \dW XN@pCTT:bc4ns ?q(n6n8zg+m<#\n!sp>f>?h h[LLR\dW YXN@pCTT:bc4ns ?q n6no8zg+m<fg0b3u$$j*rs$~c/a0ρ&~(JW] OCJR:BVVRO0EZPиކЂҕĊʒĞρОƞwDU|I@ʣpÔӻрΖϘǸ͜c-Q9h{&~'s5dd*j20e>#\o!pp>f>?h h[LR ]dW XXN@pCTU:b`4ns?q n6no8zg+m<l6+MgHH^P`SDD JD^PEFHjw;},#l2jd2f{7i88v.vw ro#e44zBFNS5QNNOZG8 MRZ[ VKx蚧𢿔겳侣澼芗۞w-ut)yd׉ch?mufg0b3u$$j*rs$~c/a00~&~(JW(] BJKF[%IVVURO0EZ⺻춫ȆކЂӕĊʒĞρОƞ鸹ɟルȭی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \~dW XXN@pCTT:b ks ?s n7no8{g+hO 8c ge'pFGB_ UJ RS^C<A^^_UH7ಯڂԎߑ0ӎؘˌܒÚatқ㜯ᰰӨٌm54cۤɘ֏׀ϰǔ{"#t 3L-v./x:'Xk-||2b:;l6+TgHH^P`SDD JD|OPPFHjw;PEB2jkfg0b3u$$j*rs$~c/a00~&~(JW(] BJKF[$IVVWRO0EZ⺻춫ȆކЂӕĊʒĞρОƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<fg0b3u$$j*rs$~c/a00~&~(JW(] B~OKF[$IVVWRO0EZ⺻ΫȆކЂӕĊʒcσОǞ Sߏ՗崴ÔӬфΒϘ%8Gtǜ҂ی˴8hh&&'p"?@s5dd*j23d>#\o!pc>?hh[LLS \0>d=+6s``@`"kTT:bc4ns ?q n6no*zc+i<fg0b3u$$j*rs$~c/a00~&~(JW(] BJKF[$IVVWRO0EZ⺻춫ȆކЂӕĊʒĞρОƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<ll"r*+|^;Dw)xx6n67`2/Pc%tt:Zk l_@@WXxK{/hlXng+GEPfg0b3u$$j*rs$~c=a40~"~(W BJKG[$HVwVWRO0EZ㺻ATĊʒĞρОƞMC鸸紴ÔӬq͖ϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[0%"dR \dW XX'xq@pCTT:bc4ns ?q n6no8zg+m<fg0b3u$$j*rs$~c/a00~&~(JW(] BJKF[$IVVWRO0EZ⺻춫ȆކЂӕĊʒĞρОƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<fg0b3u$$j*rs$~c/a00~&~(JW(] BJKF[$IVVWRO0EZ⺻춫ȆކЂӕĊʒĞρОƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<m2 and b1<>b2 correctX(b1 + b2) / (m2 - m1)81correctYcorrectX*m1 + b117int(correctX) = correctXint(correctY) = correctY@distrX1(b1+b2)/(m2+m1)4 3@distrY1distrX1*m1+b119distrX2(b2-b1)/(m2-m1)1 $distrY2distrX2*m2-b210?scrambleTRUE1 +7H{Mll"p*+|$;Dw xx6l67`3/Pc%tt:ZTl_@@ZXxK \\rz86bg @MFM Eo]UKBJ^ o[]@^Y?6\r2b}3k!fT\7b8[wvj ]7eԳ֠οޡصɨԽΚŧѯӕĊʒĞρОƞ鸸o崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<fg0bQ3u$$j*rs$~c/a0ρ&~_(JW] JJGuKTK5VVRRO0E@ZP#6峫:ކЂѕĊʒĞρОƞwD4츴」崱ÔрΖϘǸ͜c-یk9h7{&+r&u7d>*j26e>#\o!p>f>?h h[LLR DW XNX|At$8bN4ns >q n6n8zg+m<ÅԚ.딧وĞőߠՄʊӄüކو*7{=ll"r*+|&;Dw)xx6n67`2/k%t::ZTl_@ V YxK \\BL tGy()f>fa0b3u$$j*rs$~c/a00~&~(JW6] YBJKF[$IUVURO0EZ⺻춫ȆކЂڕĜʒĞρٝƞ鸹^崴ÔӬрΖϘ>͜҂ی˴9h$~&%q"?@s5dd*j23d>#\o!pq>f>9h [LLR \dW XXN@JT6:bc4ns ?q l6nm9zg+m<fg0b3u$j*rK yLi0~&~(JW(] BJKF[$IVVWRO0EZÒ͂⺻춫ȆކЂӕĊʒĞρд鸸崴ÔӬрΖΫ҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>h  4o>)a&R \dW XXN@pCTT:bc4ns ?q n6no8zg(+m<_PO2'YFFGB_ UJ RS^C<A^^_L1&9-1 Adding and Subtracting Polynomials(9-1.2 Adding and Subtracting PolynomialsIN A1.1.1, IN A1.6.1 9-1 Example 4monomial,degree of a monomial,polynomial,degree of a polynomial,subtracting polynomials,standard form of a polynomial,trinomialNAEP A3b, CAT5.LV19.47, CAT5.LV19.54, IT.LV15.I, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.16, TV.LV19.49, TV.LV19.52, TV.LVALG.53 +7H{Pll"p*+|$;Dw6xx6m67`3/Pc%tt:ZTl_@@VXxK \\j,46TrMSN_(B\JRFC%WH qP7Lj|)%,'b*[2W#1,8.ggxrd2uԳ5Śߚў؋ɯ̹֚̄φЂӕĊʒĞρОƞ鸸_崵ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<f80b3u$$j*r$~c/a00~&~(JW(] BJ.F[%IVV1RO0EZ?⺰춫ȆކтӑĊʒĞρОƞՋ崴ÔӬрǸ͜ۂی˴9hh&~&'p"?@s5ddՕ23G>#\"pp;?k ,i+LL/R _dW XX3N@pCTT:bcˑs ?q 5no{{b(l>l-z{vvk$XFFG"B_ UJ RS^C<~^_۩Țcکﶷಯ֥ڂԎߑq)ؚCӟϗ㜯ᰰW5ר݌sޤϺb׀ϰĔz"#3.3L1``.v./x:'X||b:;2+TMH_= `~DD KD|PPFHjw;},,jk."L\JRE\^H<T!sP7Gj(kt,2y~ W p`*v%vd6*o#v!ԳZ߂֘ݎͫ⺻춫ȇކЂӕĊʓǞρОƞD鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n6no8zg+m<fg0bt$$x*vs$~c$a00v&~(JW(\ PNKF[$C u}%.2wr_n$zZ:⺻쿫ȆφЂӕĊʒa|ϢО9깸崴ÔӬ.ΖϘ ĸҁpĴchh&}''p"?@sdd*j23d>#\o!pp>?h*h[OL3\FyYXc@pCTTbc4ns ?q n6no8+m<xx6m67`3/Pc%tt:ZTl_@@VXxK \\j(cl+BnK8iH/RB A\A AE5=M UMI9[ it>bjsdfp$ \xb/2r2wl4qڑ忳⺻춫Ȇ߆ЂӕĊʒĞ0Оƞ鸸崴ÔӬрΖϘǸ͜҂ی˴9hh&~&'p"?@s5dd*j23d>#\o!pp>f>?h h[LLR \dW XXN@pCTT:bc4ns ?q n7no8zg+m<?h h[LLR dW XXM p@mG5bcnns

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