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Math 432 Name___________________________________ Review #2 Date________________ Period____ ©H W2V0X1z4Z CKAudtHaE cSFoufTt1wja9rjex 7LLLOCI.M 5 uAnlZlo 4rMiugShEttsC 7rWedsye5r3vLeudN.0 Solve each equation. 1) v 2) m Solve each inequality and graph its solution. 3) x 4) r Simplify each expression. 5) a 6) k k ( u 7) u x 8) u 9) u y x 10) x y y ©k B2c0V1t4Y 0KDuFtSaG dS6oZfftSwvaPrUee PLyLKCE.N r vArl3ll 1rdi4g6hKtVsY GrhedsheLrDvbeZdo.B R mM1aSd4e8 Rwaistohs 9IbnGfri5nJintRed TAFlbgee5bJrdaI q25.N -1- ) Worksheet by Kuta Software LLC Simplify. 11) i 12) i i 13) i i 14) i i 15) 16) 17) (i)(i)(i) 18) (i)(i) 19) (i)(i)(i) 20) (i)(i)(i) Solve each equation. 21) n n 22) n n ( ) Solve each equation. Remember to check for extraneous solutions. 23) m m ©6 82h0D1B4K mKyu2tLaM DSKodfXtrwmapr1ev CLpLuCG.h K rAclYlH UrIiNgWhxtFsh 4rrelsqe2rivie2dl.T 6 DMiaod8eh uwwiathhR iILnqf6i3n2iFtBe2 KAwlJg7eWbarQaX b2e.w 24) n n -2- Worksheet by Kuta Software LLC Simplify. Your answer should contain only positive exponents. 25) 27) y x y 26) ( x ) ( x y ) 28) y x y n (m n ) n x y x y x y ( x y ) Factor each completely. 29) a a a 30) v v v 31) n n 32) x x Solve each compound inequality and graph its solution. 33) aa or aa 35) mmm 34) aa and aa 36) nn or nn ©Q F2I0v1D4F 2Kau1tDaM USIo0f0tewNaOrleU sLmLCCD.l Z 1ArlIlA Ar7iQgFhJtksz lrjeUsHezrjvke1de.R M 7MIaXdCeG xwziPtzhS lIunCfQi8nGiPtWeN rAAlvgdemb8rmaX v2A.T -3- Worksheet by Kuta Software LLC 37) Julia created a metal containing 44% iron by combining two other metals. One of these other metals weighed 3 kg and contained 30% iron. If the other weighed 2 kg, then what percent of it was iron? 38) A metallurgist needs to make 15 oz. of an alloy containing 48% gold. He is going to melt and combine one metal that is 75% gold with another metal that is 30% gold. How much of each should he use? Simplify each expression. 39) (m m)(mm ) 40) (vv )(v vv ) Find each product. 41) (b)(b) 42) ( p) 43) ( x)( x) 44) (v)(v) Solve each quadratic equation. 45) n n 46) a aa 47) m 48) x x 49) p p 50) k k ©n E2r0d1C4p fKouEtCa4 qSso8fVtXw7aZr8e7 3L4LiCz.I r PADlPlQ XrViJguhutFsY 0rfeDsqetrwvbebdr.0 p DMxardHeH Rwnivtrhc 8IrnvfCijnpilt7eW IALlsgue0bHr4at B2r.X -4- Worksheet by Kuta Software LLC 51) a a Simplify. 52) 54) 56) 58) 60) ( )( ) 53) ( ) 55) 57) n b 59) x 61) x y 62) x y 63) x y Simplify each expression. 64) x x 65) v v 66) x x x x 67) n n n n n ©R P200X1S4x mKQuJtmaR YSOoDfCtBwwavrqe2 lLkLACR.p Q 2AklTlT 2rbiCgmhMtFsV JrKe7sPeirbvbe2di.N 1 vMUaWd0e7 OwcietxhC NIhnEfbiUn4i5tOek IAulfg6eGbMrvaS 52R.Z -5- Worksheet by Kuta Software LLC Solve each equation. Remember to check for extraneous solutions. 68) x x x x 69) x x x x x 71) m m m m Simplify each expression. 70) r r r 72) A cattle train left the station and traveled toward New York at an average speed of 50 mph. Some time later a passenger train left traveling in the same direction but at an average speed of 90 mph. After traveling for ten hours the passenger train caught up with the cattle train. How long did the cattle train travel before the passenger train caught up? 73) Jessica made a trip to the town hall and back. The trip there took five hours and the trip back took four hours. She averaged 30 km/h on the return trip. Find the average speed of the trip there. Solve each question. Round your answer to the nearest hundredth. 74) It takes Perry 16 hours to harvest a field. Jasmine can harvest the same field in 8 hours. Find how long it would take them if they worked together. ©b 32U0W184W CKNujt2aC PS5oOfstlwsavrcet KLTLjCV.C r oAilHlx ar1iXgOhXtXst sr2eLsDedrZv1eidk.X C 6MlavdieV cw6iltxhQ 6Ixn9faiPn1iitTez UAKlqg1e0bVr7aC S2x.B 75) It takes Natalie ten hours to harvest a field. Jose can harvest the same field in 13 hours. How long would it take them if they worked together? -6- Worksheet by Kuta Software LLC Answers to Review #2 1) , 3) x or x : 2) No solution. 4) r : 19) i 23) 24) 15) x 8) i 12) 16) 20) i 7) 11) i a u 9) u i 13) 17) i 21) 28) y x y 31) n(n) 32) ( x)( x) 33) { All real numbers. } : 26) m n 22) y 25) x 29) (a )(a) 27) 34) a : k y y x 10) y x i 14) 18) i 6) 5) 30) (v )(v) 35) No solution. : 36) n or n : 38) 6 oz. of 75% gold, 9 oz. of 30% gold 39) m m 41) b 43) x x 42) p p 45) , 47) , 46) , 49) , i i , 50) , 52) 53) , 55) 56) 57) b b 59) n n 60) x 61) x y x x v xy 63) y x y 64) 65) ( x)( x) (v) 67) n 69) 68) , x( x) 72) 18 hours 73) 24 km/h 71) r r 5.33 hours 75) 5.65 hours 37) 65% 40) v v v 44) v v 48) 51) 54) 58) 62) 66) 70) 74) ©F 42h0S1e4f vKOuSt1aC ISqoGfwtLw3aYrpej eLRLYCn.y E tA7lFlE Jrui0g4hrtSsJ qrpe7sBeHrEvSeAdK.j O qMGatdye9 nwriytvh6 wIYnSfDi3nBihtme6 yAulWgOeKbAr0aU 42U.Q -7- Worksheet by Kuta Software LLC