Rational expressions kuta software of Technology
©T w2X0N152U xK6uft Xag zS Qo1f st HwHa Wrae8 6L RLVCL.a d QAlbl p Xrdiig mhbtVs4 wrRe8sUeErqv Fepd C.3 d UM7aOdpeB GwDiQtkhW kI Ondfyi Kn8i nt ie X zA7l8gje Fbbr ja5 N1M.m Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Solving Rational Equations 1 Date_____ Period____©z GKwuwt6aP 4SgosfstCwGaVrse2 KL1LBCt.b S eABlKlR ir iZgrhNtrs 1 brReSsPeNrLvgePdz.d o 0MZahdSeB ewfi8tkhC QIunAf0iQnviwt8eo xAzlCgReTbJrdaT W1b.U Worksheet by Kuta Software LLC Math 120 ID: 1 Name_____ Review Sheet: Rational Expressions Date_____ Simplify each and state the excluded values. 1) 5 x2 + 42 x + 16Worksheet by Kuta Software LLC Algebra 2 ... Multiply the rational expressions by factoring when possible and then simplifying common factors. 1) (b + 6)(b − 2) ©F sKzu8tYaM mSCoyfXttw7ahrTe4 hL4L4CQ.b h RAAlnl1 Drpipg1hgtEsv 6rJers keurHvheJdD.g y 0MxaUdRew PwoiwtMhf gIjnLfaiGnZi4tAeT UAjl egJe6bcrLao 52G.P Worksheet by Kuta Software LLC Answers to Add and Subtract Rational Expressions 1) x 2) x y y 3) y x 4) p p 5) xStep 2. Add or subtract the rational expressions. Step 3. Simplify, if possible. Avoid the temptation to simplify too soon. In the example above, we must leave the first rational expression as 3 x − 6 ( x − 3) ( x − 2) to be able to add it to 2 x − 6 ( x − 2) ( x − 3). Simplify only after you have combined the numerators.Beginning Algebra Order of operations Simplifying algebraic expressions Equations and Inequalities Multi-step equations Work word problems Distance, rate, time word problems Mixture word problems Absolute value equations Multi-step inequalities Compound inequalities Absolute value inequalities Relations and Introduction to FunctionsRationalExpressionsReview.pdf. Kuta Software - Infinite Algebra 2 Name_____ Rational Expressions Date_____ Period____ State the excluded values for each. 60 x 3 70v 2 1) 2) 12 x 100v m+7 n 2 + 6n + 5 3) 2 4) m + 4m − 21 n+1 35 x − 35 −n 2 + 16n − 63 5) 6) 25 x − 40 n 2 − 2n − 35 Simplify each and state the excluded values.Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.Step 2. Add or subtract the rational expressions. Step 3. Simplify, if possible. Avoid the temptation to simplify too soon. In the example above, we must leave the first rational expression as 3 x − 6 ( x − 3) ( x − 2) to be able to add it to 2 x − 6 ( x − 2) ( x − 3). Simplify only after you have combined the numerators.©G 32v071 d2N 2KOuutiaG MSHoyfNt4wGagr 5ec JL 7L pC W.f H pAQlRlB BrGiAgvh4t Rsd 4rgeUseSr tvye Rdy. o 9 lM da gdCes Fwoi5toh l 5IGnJf dian9i Ztwe2 HAHl Rgveob3r na4 61 J.U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Dividing Radical Expressions Date_____ Period____ Simplify.C c uMcaUd mes DwkiKtPh4 WIGnOf1i hn ti1t7e 5 qA4l lg zeBbOrma5 F1I. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 2) 53 43 ⋅ 46 n2 31 3) 93 21 n ⋅ 34 n 51 n 4) 79 n 25 ⋅ 85 27 n2 5) 96 38 nDefinition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.©l 92h0 k1p2 r aKVuTt6a0 ASCoEfgt 7wLagrje I bL vLkCL. R F HAil wlC OrrikgAhit QsU HrDe6sje Prtv zeHdK.L I NMJa7dCeb qw ei Bt Xha xIEn0f4i Lnei6t GeH GA4lxgle 2b 9r2al b1E. U Worksheet by Kuta Software LLC 17) −85 ÷ −17 18) 128 ÷ −16 19) −180 ÷ 15 20) 234 ÷ −13 Find each product. 21) −11 × 9 22) −7 × −12Free worksheet at https://www.kutasoftware.com/free.htmlGo to ️ https://maemap.com/math/algebra1/ ⬅️ for more Algebra 1 information!Please support me: 💸 ...18) ©K x2n0f1r1X PK3umtHa1 fSboCfDtGwiaGrLeW CLQLyCA.d U zAslKlW GrKi7gshHtYs4 yrqeqsdeSrivxeudq.7 T HMia6dxeR 7w1i9tLhU CIcnCfXionFi3tBei HArlggGePbKr6a3 Q2T.x { 1 6} {5} { − 5} 1 {21} {2} 6)R 5 DMua OdSe H Gwsi Et6hK AIRnnf8iRnHiut Pek IA bl6gke Ebcr Rat P2 u.j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Simple Rational Functions Date_____ Period____ Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. 1) f (x) = − 4 xSimplifying Rational Expressions.pdf - Kuta Read more about kuta, software, worksheet, simplifying, rational and infinite.Test and Worksheet Generator for Algebra 2. Infinite Algebra 2 covers all typical Algebra 2 material, beginning with a few major Algebra 1 concepts and going through trigonometry. There are over 125 topics in all, from multi-step equations to trigonometric identities. Suitable for any class with advanced algebra content.C c uMcaUd mes DwkiKtPh4 WIGnOf1i hn ti1t7e 5 qA4l lg zeBbOrma5 F1I. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 2) 53 43 ⋅ 46 n2 31 3) 93 21 n ⋅ 34 n 51 n 4) 79 n 25 ⋅ 85 27 n2 5) 96 38 n C c uMcaUd mes DwkiKtPh4 WIGnOf1i hn ti1t7e 5 qA4l lg zeBbOrma5 F1I. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 2) 53 43 ⋅ 46 n2 31 3) 93 21 n ⋅ 34 n 51 n 4) 79 n 25 ⋅ 85 27 n2 5) 96 38 nMultiplying Rational Expressions - Kuta Software LLC. 8 f2T0O1i2z SKeuftRay bSPoBfCt3wKaorPey v 2 AnlOlh zr2iBgwhRtCsR c uMcaUdmes DwkiKtPh4 WIGnOf1ihnti1t7e5 qA4llgzeBbOrma5 by kuta Software LLCKuta Software - Infinite Algebra 1 Name_____ Period____Date_____Multiplying Rational ExpressionsSimplify …J x bM 2a wdneU KwEiPtyh n 2Iln ofQiEnRiat Te3 zA kl6g Vejb erea 3 91O.E Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Dividing Rational Expressions Date_____ Period____ Simplify each expression. 1) 10 n 9 ÷ 13 n2 16 ... Dividing Rational ExpressionsWorksheet by Kuta Software LLC Intermediate Algebra HW#56 Add, Subtract, Multiply, and Divide Rational Expressions Name_____ ©^ O2e0u2a0b DKwuUt`an eSDoLfdtfwgaMrbe` iLGLtCA.Q D wAjlHl^ KrhiYgthptssm grHeysnezrvvBe]dZ.-1-Simplify each expression. 1) 4 8b × 5 3 2) 5 10x3 × 9 8x 3) n2 + 13n + 40 n - 9 × 1 n + 5 4) x2 + 9x + 14 x + 7 ©g A2G0g1N2y oK iu ot caA 3SIo Jfct JwOa2r 0en LYL1CB.V 6 3A1lVlc vr Di5g Zh4t 2s3 brLePsSeUrGvPeAdC.I m gM8agd Qe8 GwribtAhH GIYnjf 4i qn 1imtWej QAxlhgUe3bQrLa V G1k. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Adding + Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u + 5v ...Free worksheet at https://www.kutasoftware.com/free.htmlGo to ️ https://maemap.com/math/algebra1/ ⬅️ for more Algebra 1 information!Please support me: 💸 ...©D 72 g061 U1Y 5K Uu Ptxat nSTozfHtKw4aDr Fe y yLzLpCJ. j j uA xl Fl H frzi Ngvh ntwsf 9r Desje Lrmv3eGdj. g b gM da gdke N Lw6ixtWhX CIenWf4i on Pijt1e L TAHlWgfe rb UrTa0 m2O.b Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Solving Multi-Step Equations Date_____ Period____Worksheet by Kuta Software LLC Algebra 2 ... Multiply the rational expressions by factoring when possible and then simplifying common factors. 1) (b + 6)(b − 2)D Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Simplifying Rational Expressions Date_____ Period____ Simplify each expression. 1) − 36 x3 42 x2 2) 16 r2 16 r3 3) 16 p2 28 p 4) 32 n ... Simplifying Rational Expressions Author: Mike Created Date:©m N250 u1P2 Q yK zu Dt5aR zS Bo 6f 7tWw5a arReV 3L oLPCg. t S fA El Ylq Rr4iTgZhCt Ds4 kr defs 3esr Xvxe 5db. 6 m 5M JaUdze s AwBiDthC xI4n wfpi JnWiztieW pAnlZgGePbSrga g F18. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Order of Operations Date_____ Period____Free worksheet at https://www.kutasoftware.com/free.htmlGo to ️ https://maemap.com/math/algebra1/ ⬅️ for more Algebra 1 information!Please support me: 💸 ...©w 02 c0A1j1 j FKvu NtqaM JS8o xf WtuwVaDr Ye T mLPLVCc.a g GArl Dl O xrli RgLh 9tSs V urLemsMeNrRvqeOdg.H v EMRa6dzeB iw 4iEtAhc 1I7n cfyimnZiGtJem TPVrOe1- UAHlxg we1brUaE.K Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Simplifying Variable Expressions Date_____ Period____Free worksheet at https://www.kutasoftware.com/free.htmlGo to ️ https://maemap.com/math/algebra1/ ⬅️ for more Algebra 1 information!Please support me: 💸 ...©C g2q0g1 U2H DKEu 1tYaZ HS0oSfVt4wmahrFep vL RLIC5. D j lAol 1l E Rr3i3gXhwtMsY tr ae 0s Re crv0eid Z.5 k uM5a3d 8eI AwNilt Qh6 CIan2f nifn bigtHeJ 1A8lTgcetbnrsak S2m.Q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Rational Expressions Date_____ Period____Q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Dividing Rational Expressions Date_____ Period____ Simplify each expression. 1) 10 n 9 ÷ 13 n2 16 160 117 n 2) 16 n 17 ÷ 8n 6 12 17 3) 2 7 ÷ 18 8x2 8x2 63 4) 12 7 ÷ 4 11 r 33 r 7 5) 7 18 ÷ 6 9a 7a 12 6) 5 20 ÷ 5x 3 3 20 x 7) 4n n − 6 ÷ 4n 8n − 48 8 8) 3 28 ... ©Q i2H0S1 s23 CK5uSt 5av wS yo CfvtAwha Dr5e w fL oLDCc.A G oAHljl 3 zrKi nghztsH ur AeIs ze YrHvTetd9. u S uMEabdNex Nw di ntnhd 3ITn bfPiNnniPt GeA uA rl dg BeTbGrka L j1e. w Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Adding and Subtracting Radical Expressions Date_____ Period____ Simplify. 1) 2) 3) 4) ©h 42m0U1V3V 9Kau at0a 5 hSJolf ntlwCaDrXeL OLZLeCL. s f eAQlyls xrJiMgFhit Ms4 3r3e2sHelr WvieId7. m a 0MPaYdke r wGiStRhr gI AnXfFiDn9i Htmeq HAMlZgfe lb CrmaY Z2R.H Worksheet by Kuta Software LLC Algebra 2 - Task 5.2 Name_____ Date_____ Period____Operations of Rational Expressions. Simplify each and state the excluded values ... © 2019 Kuta Software LLC. All rights. 7b+7. 15b³ +30b² + 15b. 24). 1563 reserv.©U V240 A1m2f 0K Ju zt6a o IS GomfMtXwxa Gr5e g 4LgL9C T.R Z FAtl Hl3 jrvi 0g OhOt6sK crwegs te or zvVeKde.R 7 1Mfa 1dye 1 XwKiNtrhk GI3n 0fgi In uiXtve M KAml4gBefb2rgac 61 s.y Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____Simplifying rational expressions; Finding excluded values / restricted values; Multiplying rational expressions; Dividing rational expressions; Dividing polynomials; Adding and …Free Algebra 1 worksheets created with Infinite Algebra 1. Printable in convenient PDF format. Kuta Software - Infinite Algebra 1 Name_____ Adding + Subtracting Rational Expressions Date_____ Period____Worksheet by Kuta Software LLC Algebra 2 Multiplying and Dividing Rational Expressions ... Simplify each expression. 1) 1 21n + 42 × 3n2 - 12 n + 8Free 14-Day Trial Windows macOS Basics Writing variable expressions Order of operations Evaluating expressions Number sets Adding rational numbers Adding and subtracting rational numbers Multiplying and dividing rational numbers The distributive property Combining like terms Percent of change Equations One-step equations Two-step equationsView Notes - Adding+Subtracting Rational Expressions (alg2) from MATH Algebra at Aberdeen High. Kuta Software - Infinite Algebra 2 Name_ Adding/Subtracting Rational Expressions Date_ Period_ Simplify©g A2G0g1N2y oK iu ot caA 3SIo Jfct JwOa2r 0en LYL1CB.V 6 3A1lVlc vr Di5g Zh4t 2s3 brLePsSeUrGvPeAdC.I m gM8agd Qe8 GwribtAhH GIYnjf 4i qn 1imtWej QAxlhgUe3bQrLa V G1k. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Adding + Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u + 5v ...Free worksheet at https://www.kutasoftware.com/free.htmlGo to ️ https://maemap.com/math/algebra1/ ⬅️ for more Algebra 1 information!Please support me: 💸 ...The same principles apply when addingaddingadding or subtracting rational expressions subtracting rational expressionssubtracting rational expressions containing variables. To Add or Subtract Rational Expressions with a Common Denominator 1. Add or subtract the numerators. 2. Place the sum or difference of the numerators found in step 1 overStep 2. Add or subtract the rational expressions. Step 3. Simplify, if possible. Avoid the temptation to simplify too soon. In the example above, we must leave the first rational expression as 3 x − 6 ( x − 3) ( x − 2) to be able to add it to 2 x − 6 ( x − 2) ( x − 3). Simplify only after you have combined the numerators.Multiplying Rational Expressions.pdf - Kuta Software IT English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian …©a M2k0c1 I2G XKujt Qa4 PSSoMfMt8w Oa fr Ne x 1LGLeCj. o v yA wl 2l5 urli VgQh FtZsc yrBeMsHerUvCeadx. s r BMVaxdSe5 xw Bi2t Ih H aI yn Qfxi mnHiztHeo NAGlVgNeObMrJae f2 w.v Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Complex Fractions Date_____ Period____ Simplify each expression. 1) 4 3 4 − 3 2 − 16 3 2) 1 ... Software for math teachers that creates custom worksheets in a matter of minutes. Try for free. Available for Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus.Worksheet by Kuta Software LLC Algebra 2 5.2B Multiplying Rational Expressions Name_____ Date_____ Period____ ©Q T2G0z1P7F QKOuVtfaq GSUoJfTtvwUaorTen ^LvLGCF.V a DAnl`lk RrWiagohLtysu brqe[saeHruvPeVdR. Simplify each and state the excluded values. 1) 5 x - 6 × x2 + 11x + 24 5x + 40 x + 3 x - 6; {6, -8} 2) 7 p + 4 × Rewrite each rational expression as an equivalent rational expression with the LCD. Step 2. Add or subtract the rational expressions. Step 3. Simplify, if possible. Avoid the temptation to simplify too soon. In the example above, we must leave the first rational expression as 3x−6 (x−3)(x−2) to be able to add it to 2x−6 (x−2)(x−3 ...©1 m2b0G1L2 S 8K HuktMaH 2SHoTfBt BwOa3rre w 7L7LVC w.N g kA BlUlj Sr0i qg ThQtVs1 qrGe8s2eArmv8eXd x.i s SM 8a Wdheb hw3iNtzhu hI InEf Si7npi the3 DAYlIg zehb KrWaC E1X.x Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Excluded Values Date_____ Period____©C g2q0g1 U2H DKEu 1tYaZ HS0oSfVt4wmahrFep vL RLIC5. D j lAol 1l E Rr3i3gXhwtMsY tr ae 0s Re crv0eid Z.5 k uM5a3d 8eI AwNilt Qh6 CIan2f nifn bigtHeJ 1A8lTgcetbnrsak S2m.Q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Rational Expressions Date_____ Period____ Software - Infinite Algebra 1. Amplifying Rational ExR 5 DMua OdSe H Gwsi Et6hK AIRnnf8iRnHiut Pek IA©g A2G0g1N2y oK iu ot caA 3SIo Jfct JwOa2r 0en LYL1CB.V