Review for Final Exam

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1 Algebra Name X \\0pNQ ^KFuNtca SmoLfutHwDaarneA ^LnLcCH.m I japlcl] erkikgehrtase qruemsbe]rcvpejdh. Review for Final Eam Solve each equation. ) -(v - ) = -0-7v ) -95 = -5( + p) Date Block ) -7m - = 5 Solve each inequalit and graph its solution. ) + 7 5) - > Graph each equation. State the Domain & Range. ) = - + 7) = State if each scenario involves a permutation or a combination. Then find the number of possibilities. ) The batting order for seven plaers on a 9 person team. 9) The student bod of 75 students wants to elect three representatives to be on a team. Find the probabilit of each event. 0) There are songs on our plalist. With random shuffle and no repetition, ou listen to all our songs. What is the probabilit that ou listened to the songs in the order ou downloaded them? ) A small pond contains four catfish and seven bluegill. If five fish are caught at random, what is the probabilit that all the fish caught were bluegill? C Hm0FqA IKjuwtzan msfoif^tewlabrrep ULXLXC_.q ` aaglllr KrliRgAhtkst AraeHswerPvWeddp.[ _ HMjatdFeU Bw\ihtmhJ VIvnGfSiknviotIeL raflkgje`bdrlaf ZE. -- Worksheet b Kuta Software LLC

2 Simplif. ) (5i) + - (-5 + i) ) (-5 + 5i)(7 + i) ) (- - i) + ( - i) 5) (-i)(7i) - (i)(5 + i) Factor each. ) = ) = + 5 Simplif each epression. ) (n + n - 7n ) - (n + n + n ) 9) (a a ) - (-a - 7a + 5) Divide. 0) ( ) ( - ) ) ( ) (7 - ) Find each product. ) 5 ( + - 7) ) (5n - )(n - 5) ) ( + )( - ) 5) (7 + ) Find all roots. ) - + = 0 7) - - = 0 ) = 0 9) - = 0 v NG0rvA GKCuZtma_ lslojfstcwpaerdei eljlucl.s q CARlZlF MrTiaghBtKs _redsjebrnvqeqdf.g W NMpaRder RwEiFtPhn OI^nNf]iunhictCe `AGlgJebnrBaY DF. -- Worksheet b Kuta Software LLC

3 Solve each equation. Remember to check for etraneous solutions. 0) = (r + ) ) p + = 7 - p ) -5 7k = -5 Solve each eponential or logarithmic equation. ) + = ) log - + log 0 = 5) log ( + ) - log 0 = log ) ln (-k - ) = ln (5 - k) Solve each equation. Round our answers to the nearest ten-thousandth. 7) + 0 = ) - = -5 Sketch the graph of each function. State the Domain and Range 9) = 0 0) = ( ) Worksheet b Kuta Software LLC u Jo0Wgk JKHuLtNa USUoSfAt`wRaIrDeL ULYLUC[.S m iafldll eraipg`hgtase Nrve[sKe\rPvDeYdr.K ` wmzaldnew fwuistwhu LITncfliCnRiVtkej IAolmgje_bTrzap I. --

4 Simplif. Your answer should contain onl positive eponents. ) ( b ab - a - ab ) ) - ( - ) Find the inverse of each function. ) f () = - + ) g() = 5 + 5) g() = - - Perform the indicated operation. ) f () = - g() = + Find f (g()) 7) g(a) = -a + 5 f (a) = a - Find g(a) + f (a) ) g(t) = t + t h(t) = -t Find g(t) - h(t) 50) h() = + g() = - Find h() - 5g() 9) f () = g() = - Find f () g() 5) h(a) = a + ; Find h(-0) Sketch the graph of each function. 5) = - + 5) = -( + ) F jr0[vz zkuptpaw ]SjoKfltMwoaKroeH RLbLGC\.k Y taslrlt drpifgohjtbsy qrqeos_esrfvfexdv.a g tm[apdjen pwaidtihw qi]nuf`ilnaipttev lallqg_evbhrta` _L. -- Worksheet b Kuta Software LLC

5 5) f () = Write the slope-intercept form of the equation of the line through the given points or given graph. 55) through: (-, -5) and (0, -) 5) Solve each sstem b graphing both lines or using a matri. 57) = - + = 5-5) z = z = z = Solve each equation. Remember to check for etraneous solutions. 59) + v + 5 v = v - v 0) n + - n + n - = n + n - W et0`bg ekmurtvaf ^SUo\futhwvaJrYeW BLjLwCn.M f CAXllM ]rsijgphtksj rrzesgegrvvpeydc.h E zmjazdde^ rwsiut^hz uihnufti_ndintweg FAYlWgDevboram ii. -5- Worksheet b Kuta Software LLC

6 Determine if the sequence is arithmetic. If it is, find the common difference, the term named in the problem, and the eplicit formula. ), 0,,,... Find a 0 Find the sum of the arithmetic series. ) (-) + (-9) + (-) + (-9)..., n = 5 Determine if the sequence is geometric. If it is, find the common ratio, the term named in the problem, and the eplicit formula. ) -, -9, -7, -,... Find a Evaluate each geometric series described. ) , n = 7 Convert each degree measure into radians and each radian measure into degrees. 5) p ) 5 Find the eact value of each trigonometric function. 7) sin 0 ) cos p Use a calculator to find each. Round our answers to the nearest ten-thousandth. 9) sin -0 70) tan 50 t au0f`[ SKFuntwaD rsco_fdtqwiaqrieu wlgljcg.d k WAHlwlS MrYimgIhXt]sF ZrsezsPeHrJvseudA.l Z LMBaddTet NwIintghQ FIHnhfOiBngi]t]eA WAEl\gKembqrGas E`. -- Worksheet b Kuta Software LLC

7 Answers to Review for Final Eam ) {-} ) {5} ) {-, } ) - - : ) < - or > : ) 7) ) Permutation;, ) Combination; 7,55 0) - 70» 0.9% )».55% ) + i ) i ) - - i 5) - 5i ) = ( + )( - )( + ) 7) = ( + 5)( ) ) -5n - 9n + n 9) a 0) ) ) ) 5n - n + 5 ) - 5) ) {0,, } 7) { +, - } ) {, i 5, -i 5 } ) {} ) {7} - + i 9) {,, - - i } 0) {} ) { } ) { - 5 } 5) {5} ) {-} 7). ).97 9) 0) ) b ) 9 ) + 7) a - a + ) t + t + t 9) - 50) + 7 5) 0 5) 7 ) f - () = - + ) g - () = 5-5) g - () = Worksheet b Kuta Software LLC h u0nmk JKbu]tdad ]SNonfstYwvaRrbe vlelqcz.s g VAllLlZ vr[iugjhbtdse nryejssenrrvkehdo.h -7- k pmjavdbew Bwti_tChR MIJnZfLimnqiTtpel VAOlsgIeDbhruaZ w^.

8 5) ) ) = - 5) = ) (, ) 5) (,, ) 59) {-} 0) {} ) Common Difference: d = a 0 = ) Common Ratio: r = a = -777 Eplicit: a n = - n - p ) 70) 0.9 7) - Eplicit: a n = + (n - ) ) -7 5) 0 ) ) -75 9) R o]0h_` JK\uQtVar `S^oEfstVw[arrMek ultldcn.t D zamlhla QrGipg_hstPs\ FrmeXsWeGrOvMeVdJ.c W cmsawdwew ZwAiatShB risnyf\itngietveo caql[guehbnrraq rw. -- Worksheet b Kuta Software LLC

Name h x2n0k1]8i xkruatlai msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. 8) 2(1 + 8n) > ) 2 + 5v < -18 or -8v + 10 < 34

Name h x2n0k1]8i xkruatlai msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. 8) 2(1 + 8n) > ) 2 + 5v < -18 or -8v + 10 < 34 Algebra Name h N0k]8I KRuatLaI msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. Summer Review 08 Evaluate the following epressions if a=, b=- and c= ) b-a ) - b-c Date Period Solve