Review for the Final Exam

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Godfrey Chapman
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1 -1- T 9K8uDt5aU 9SPogf0tEwNaHrdea ALFLWCR.6 m AAylNl9 7rOiBg4hMtYss UrTecs8eMrkvSe1du.E L omgakd2ev zwaiitrhz VINnafCiEnjibtAeD GAWl2g7ezb7rXa3 l2v.i Worksheet by Kuta Software LLC Algebra 2 Name Review for the Final Eam Find the missing term or terms in each arithmetic sequence. 1)...,,,,... 2)...,,,,... Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, and the eplicit formula. 3),,,,... 4),,,,... Evaluate each arithmetic series described. 5) i i) 6) m m) Find each term described. 7) st term in epansion of y) 8) rd term in epansion of y ) Use the information provided to write the standard form equation of each circle. 9) Ends of a diameter:, ) and, ) 10) Ends of a diameter:, ) and, ) Find the value that completes the square and then rewrite as a perfect square. 11) 12) Solve each equation by completing the square. 13) 14) n n

2 -2-5 QKruetMaf hsgo5fctiwaa9roel rlglock.q X aanlllf QrSiNgahrtes0 2rnecszeOrCvkerdE.0 p 1MSaWdQec gwoigtghl YIrn0fCijnDijtKe0 MAYl0g1efb2rKaU Q2g.i Worksheet by Kuta Software LLC Simplify. 15) i 16) i i 17) i)i) i) 18) i) i) 19) i)i) i) 20) i) i) 21) i 22) i i Classify each conic section and write its equation in standard form. 23) y 24) y y Use the information provided to write the standard form equation of each ellipse. 25) Vertices:, ),, ) 26) Vertices:, ),, ) Foci:, ),, ) Foci:, ),, ) Use the information provided to write the standard form equation of each hyperbola. 27) Vertices:, ),, ) Endpoints of Conjugate Ais:, ), ) 28) Vertices:, ),, ) Endpoints of Conjugate Ais:, ), )

3 -3- n 6KsuHt1aP 4SjoifjtNwAayryeM nlulscn.w n SA9lclD Crhilgnhjtysh 9rOeosKeNrBvMehd0.S d vmoamd1ey CwniBtkhL TIBnafPicnciVtaeN ba6lwgte9bcr3ay H2j.c Worksheet by Kuta Software LLC Use the information provided to write the verte form equation of each parabola. 29) y 30) y Divide. 31) m m m) m) 32) n n n) n) Simplify. 33) 34) Simplify each epression. 35) b b b 36) n n n Identify the domain and range of each. 37) y = log ) 38) y = log ) 39) y 40) y

4 -4- T ikzuotnab 3SBoffwtzwTaNrUec mlkl4c m.w 2 zaylylv oruiwgohhtjsh TrHeTsUeUr1v3e1dk.s j pmmandked 0wZirtLhn fignkfti8n0i6tee YAilfgrezbgrRal Z2K.M Worksheet by Kuta Software LLC Solve each equation. 41) 42) k ) k Solve each equation. Round your answers to the nearest ten-thousandth. 43) 44) n Solve each equation. 45) log m)log m) 46) log plog p) 47) log log ) 48) log log ) Find all roots. 49) 50) Solve each equation by factoring. 51) n n 52) Solve each equation by taking square roots. 53) v 54) b Solve each equation with the quadratic formula. 55) 56) Solve each equation. Remember to check for etraneous solutions. 57) v 58) Solve each equation. 59) p)

5 -5-3 KKruAtZam ASZonfztGwmalrPeU rlalqc8.d q eazlhlt Irdiugdhzths9 Nr1eysFeUrnvleFdt.5 c BMva2dQeB Ewdizt5hR OIznpf9iWnuiKtlee natlxgtehbaruaf B2o.n Worksheet by Kuta Software LLC 60) ) Solve each equation. Remember to check for etraneous solutions. 61) n n 62) n m m Solve each equation. 63) r r 64) Solve each equation. Round your answers to the nearest ten-thousandth. 65) n 66) b Find the inverse of each function. 67) y 68) y Simplify. Your answer should contain only positive eponents. 69) mn m 70) y y Factor each completely. 71) k k k 72) 73) 74) n n Find all roots. 75) ) ) 76) ) ) Evaluate each function. 77) g ); Find g) 78) f n)n n; Find f )

6 -6- W JKUuwtGaD JSwojfTtuwNaHrveV JLXLKCM.2 J VAOlIlv zrwi2ghdtust urhehsienravbecdt.4 a um7afdhez Tw7iPtFh3 5Ian0fEimnnimt9eY maulfgxe2bzruad U22.8 Worksheet by Kuta Software LLC Find the inverse of each function. 79) g ) 80) g ) Perform the indicated operation. 81) g h t)t t)t Find g h) t) 82) h g a) a)a Find h a g) a) State the number of comple zeros, the possible number of real and imaginary zeros, and the possible rational zeros for each function. Then find all zeros. 83) f ) = 84) f ) = Find the missing term or terms in each geometric sequence. 85)...,,,,... 86)...,,,,... Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the eplicit formula. 87),,,,... 88),,,,...

7 -7-1 0Kku5tqa2 1SUobfKtGwtabr1e9 4L1LAC y.f h eawlrlo 9rQiFgwhbtMsR zr6elslejr9vkefdt.b 7 ZMiapdLeZ TwjiltHhY XIUnJfviSnmiPt6eS AANl3gCeQburWaE e25.y Worksheet by Kuta Software LLC Evaluate each geometric series described. 89)..., n 90)..., n Sketch the solution to each system of inequalities. 91) y y 92) y y Solve each triangle. Round your answers to the nearest tenth. 93) 94) C A 24 m 22 m 22 ft B 27 m A C 27 ft 116 B Find each measurement indicated. Round your answers to the nearest tenth. 95) Find mc C 29 yd A 94 9 yd B 96) Find mc 8 m B 15 m 23 A C

8 -8- y 6KVu7tdaL fsgoif3tbwfalrqey KLKLHCE.0 k 5AflIlU 8rii0gyhPtbs6 Wrieks8edrtvzeQdt.4 E bm5aadpej Pw3i4t1hh ciwnmfwiqnoiptjeb hail9gve2byrbar P2S.S Worksheet by Kuta Software LLC Write the slope-intercept form of the equation of each line. 97) 98) Use a calculator to approimate each to the nearest thousandth. 99) log 100) log Condense each epression to a single logarithm. 101) log a log b 102) log log log Solve each equation. 103) log log ) 104) log n)log n) 105) log log log 106) log ) log Evaluate each epression. 107) log 108) log Epand each logarithm. 109) log ) 110) log w u v) Find the inverse of each function. 111) ylog ) 112) ylog

9 -9- n NKvuJtfaD ysqogfht8wpafrret RLeLVC O.t P CARlQl1 Cr0ipgEhPtXsI 2rBeRsNe9rWvLeYdG.i 3 umgakdcep EwciYtqhD ZI5nIfjirngi7tPeV danl8giegberoam q2w.h Worksheet by Kuta Software LLC Epand each logarithm. 113) log ) 114) log y Rewrite each equation in eponential form. 115) log 116) log Simplify. 117) i) i) 118) i) Find each product. 119) ) ) 120) p) p) 121) m) 122) n) n) Simplify. 123) ) 124) ) Simplify each epression. 125) b b b 126) n n n n n

10 -10- j GKauIt2ag ZStowfrtawXaFrLea RL8LC 3.A W HAClrln BrZizgIhvtds7 Rrae9sleWrCvaegd0.s 9 4MZaydbee 4wgittjhg oimnhfbiunwidtkeu rajlhgme8bjrtae A24.A Worksheet by Kuta Software LLC Write the coordinates of each point. 127) z 128) z y y Simplify each epression. 129) ) ) 130) kk ) kk ) Describe the end behavior of each function. 131) f ) = 132) f ) = Evaluate each function at the given value. 133) f ) = at 134) f m) = m m m at m Find all roots. 135) 136)

11 -11- p IK3uet8ar 5SUo7f0tNwOahr1eh vl9lmcw.f 9AwlRl5 FrhikgyhAt1sT tr5esshe8rfvde3dz.8 4 smealddeu zw9iytqhj YIznFffidnJi8tXeF RARlXgneLbYrzav m2j.u Worksheet by Kuta Software LLC Sketch the graph of each function. Approimate the relative minima and relative maima to the nearest tenth. 137) f ) = 138) f ) = y y Find the discriminant of each quadratic equation then state the number and type of solutions. 139) b b 140) r r Convert each degree measure into radians and each radian measure into degrees. 141) 142) Write each epression in eponential form. 143) a) 144) v ) Simplify. 145) v 146) Simplify each epression. 147) a a a 148) k k

12 -12- N 4KDuDt0aN ms5otfrtywhaerge8 IL9LFCg.O o qaclpld PraiZgihWtlsH hrzemspeyrovgesdy.d G UMCazdFeE HwWi8tShu 4IRnyfJisnMiQtSeV DANlMgUeQb3rsaW s2j.i Worksheet by Kuta Software LLC Simplify each and state the ecluded values. 149) 150) p p p Evaluate each function at the given value. 151) f m) = m m m at m 152) f a) = a a a a at a Solve each system by elimination. 153) yz yz yz 154) rst rst rst Find a positive and a negative coterminal angle for each given angle. 155) 156) 157) 158) Find the measure of each angle indicated. Round to the nearest tenth. 159) B 160) A 7 4 C 9 A B 4 C 161) A boat traveled 60 miles downstream and back. The trip downstream took 2 hours. The trip back took 6 hours. Find the speed of the boat in still water and the speed of the current. 162) A boat traveled 108 miles downstream and back. The trip downstream took 3 hours. The trip back took 6 hours. Find the speed of the boat in still water and the speed of the current.

Review for Final Exam

Review for Final Exam 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