Transcription of Adding+Subtracting Rational Expressions
1 5 S2r0I1F1V WKdu4tKaq gSsolfSt6wyadrwe9 T nAflhlq 8r2irgXhVtKsd y IMuazdZeG BwCijt6ht pIanlftijnUi5tHeS mABlMgYeQbyr6a0 by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Adding/Subtracting Rational ExpressionsSimplify each ) u v 8 v + 6 u 3 v 8 v 2) m 3 n 6 m 3n m + 3 n 6 m 3n 3) 5 a 2 + 3 a + 2 + 5 a + 1 a 2 + 3 a + 24) 5 10 n 2 + 16 n + 6 + n 6 10 n 2 + 16 n + 65) r + 6 3 r 6 + r + 1 3 r 66) x + 2 2 x 2 + 13 x + 20 x + 3 2 x 2 + 13 x + 207) 6 x 1 5 x 48) 6 x + 5 ( 7 x 5)( x + 4)9) 3 x + 7 + 4 x 810) 3 4 v 2 + 4 v 7211) 73 8 12 x 812) 5 n + 5 + 4 n 2 n + 613) 2 x 5 x + 4 + 6 x 2 x + 314) 2 3 x 2 + 12 x + 82 x -1- v 92d0i1l1F MKiuhtSaa 9 SEozfLt4wxa9rdez Z 3 ARlulP 8r5ilgAhGtPsm 0 3M6aod3eL 7w4i2t8h6 nIFnHfFiJn9i6tneD PABl4gzeVbVrMa1 by Kuta Software LLC15) 7 n n + 1 + 8 n 716) 2 n + 8 + 4 n + 117)
2 38 3 3 x + 418) 3 b 8 + 7 b + 319) 3 x + 6 + 7 x 220) 4 x + 1 2 x + 221) 5 n + 5 5 n 2 + 35 n 40 + 7 n 3 n 22) 3 n 5 + 6 3 n 823) 254 15 42524) 8 49 + 16925) a 25 a 5 a 26) 54 5 m 4 m Critical thinking questions:27) Simplify: a b + c d 28) Split into a sum of two Rational expressionswith unlike denominators: 2 x + 3 x 2 + 3 x + 2-2- j l2i031016 7 KduYtAaY FS1oBfAtkwhajrQe0 t jAIlmlv nrmihgohXt7sK 4 tMZaldfeS EwMijtPho EI9nofViwnziDtgeS QAclTgPeqbErWag by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Adding/Subtracting Rational ExpressionsSimplify each ) u v 8 v + 6 u 3 v 8 v 7 u 4 v 8 v 2) m 3 n 6 m 3n m + 3 n 6 m 3n 1 m 33) 5 a 2 + 3 a + 2 + 5 a + 1 a 2 + 3 a + 2 6 + 5 a a 2 + 3 a + 24)
3 5 10 n 2 + 16 n + 6 + n 6 10 n 2 + 16 n + 6 1 + n 10 n 2 + 16 n + 65) r + 6 3 r 6 + r + 1 3 r 6 2 r + 7 3 r 66) x + 2 2 x 2 + 13 x + 20 x + 3 2 x 2 + 13 x + 20 1 2 x 2 + 13 x + 207) 6 x 1 5 x 4 24 5 x 2 + 5 x 4( x 1)8) 6 x + 5 ( 7 x 5)( x + 4) 42 x 2 + 137 x 125 ( 7 x 5)( x + 4)9) 3 x + 7 + 4 x 8 7 x + 4 ( x + 7)( x 8)10) 3 4 v 2 + 4 v 72 3 14 v 2 14 v 4 v ( v + 1)11) 73 8 12 x 8 21 x 20 3( 3 x 2)12) 5 n + 5 + 4 n 2 n + 6 15 n + 15 + 2 n 2 ( n + 3)( n + 5)13) 2 x 5 x + 4 + 6 x 2 x + 3 34 x 2 + 30 x ( 5 x + 4)( 2 x + 3)14) 2 3 x 2 + 12 x + 82 x 50 + 12 x 3 x ( x + 4)-1- F m290W1z1o LKuuVtXaQ nSroRfWtdwFarryeg R dAGlBls LrLi6gMhatEsE s bMAaFd3ev Nwpi8tNhh eIGnbfzi8nVidtzew QA0l6gresbarQaa by Kuta Software LLC15) 7 n n + 1 + 8 n 7 7 n 2 41 n + 8 ( n + 1)( n 7)16) 2 n + 8 + 4 n + 1 6 n + 34 ( n + 1)( n + 8)
4 17) 38 3 3 x + 4 9 x 12 8( 3 x + 4)18) 3 b 8 + 7 b + 3 10 b 47 ( b + 3)( b 8)19) 3 x + 6 + 7 x 2 10 x + 36 ( x + 6)( x 2)20) 4 x + 1 2 x + 2 2 x + 6 ( x + 1)( x + 2)21) 5 n + 5 5 n 2 + 35 n 40 + 7 n 3 n 52 n 53 + 7 n 2 3( n + 8)( n 1)22) 3 n 5 + 6 3 n 8 15 n 54 ( 3 n 8)( n 5)23) 254 15 425 625424) 8 49 + 169 18525) a 25 a 5 a 42526) 54 5 m 4 m 5 m 4 Critical thinking questions:27) Simplify: a b + c d ad + bc bd 28) Split into a sum of two Rational expressionswith unlike denominators: 2 x + 3 x 2 + 3 x + 2 Many solutions.
5 Ex: 1 x + 1 + 1 x + 2-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
