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# INTERMEDIATE ALGEBRA MAT 1033

FSU

GPA 3.97

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This 10 page Class Notes was uploaded by Shea Kautzer V on Thursday September 17, 2015. The Class Notes belongs to MAT 1033 at Florida State University taught by Staff in Fall. Since its upload, it has received 61 views. For similar materials see /class/205609/mat-1033-florida-state-university in Mathematics (M) at Florida State University.

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Date Created: 09/17/15

Review test 3 61 67 71 72 Solve the equation 1 3y 167y180 39 I 16 18 I 16 18 y we 2 9X2 9X 3 x 6x 8 288 V A 6 8 B 296 6 Evaluate as requested 4 Given that fx 5 X find f x39 A 26 B 1 26 State the domain in interval notation 5 fx j x 39A m 0 u o m B 00 3 6 x 5xgt25 A oo 0 B oo 5 u 5 oo 2 7 x 4939 x22x 8 A ran L 4 U 2 0 X 11 2 39 Given39the function identify the vertical asymptotes 8 flt 1 X 2W x2 3x 10 I Ax 5x 2 Bx1 9 fx x2 9 V A x 9 x CX 3 X 3 Name MULTIPLE CHOICE Cheese the one alternative that best completes the Statement or answers the question C 1 W021 V C 10 24 D 8 294 3qu y 3 26 0600 mew C 0 w meme 5 u 5 on B oo 4gt U 4 2 Um D65 A1nr A 3931 TTT39 391 U l TI J U UVquot CX 5x2 I39D gom Bx3 v D no vertical asymptote u State the domain and range of the39following rational function x 3 10 fxv X4 I I 1032 39 3982 6 I 4 i 39 2 39 39 2 ifsmwo 1 a f 76fz 8 10 w A Domain 05 4 u 439 a Range m 1 u 1 0 C Domain gm 439u V4 00 Range 004 u 4 w B Dozhain we Range 50000 DDomain quot4 00 Range oo oo SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Given the graph identify the following a Vertical Asymptotes I i 39 b Horizontal Asymptote c End behavior 1aSXgtoo ygtquot 12 asxgtoo ygt E h V l MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Express the rational expression in loWest terms 39 p 2 l 12 y2 12y27 AX 7 I Bin 4X41 y9 39 p12y27p 13 X 11X30 Ay213y40 A3911X30 BX6 13y40 39 y8 H X X C 11 30 C X AX 21 D xix21 y212y27 I 1237 12 D11X3 39 39 l393y 4 lily2 13y40 I h 514 3x 3y bxby 3x 3ybxby 39A1 39y 39 L Bixy Perform the indicated operation and simplify C 15 7p7 7p2 39 p 9p9 IA49B 49E 39 B 9 9p2 9p 49 16 k2101lt24 k25k k211k30 k2 2k24 I gt 39 k k25k B 17 x2 8x1516x3 25x T7 m 39 4x 5x 2X10 39 AX 34x5 Bx34x 5 2x 2 18zz14z49 1 zz7z 2215256 quot22sz 40 2 5 A 5 B Z 228239 19 xii 25 10x 50 x2 8x16 Tvxzxlz Xmu3 39 B A A10x4y ywx3 20 1592 85 12 25275t3t2 39 10523st t239 552 1 4s c 3t2 t223t352 75526st39 t2 t5x22x t239 Its I B 48t2 c2 s ts 2 39 39 2113911 6m 8 mZ gin 2 Am4 I 39I BJm Z V 3922 2x49 f 39 x439 x29x2039 x29x20 Agtxs B x29x20 quot quot C gt 2X2 10x 5 x V 3x 4 i t C t st s m 2 x4 x 39 34x 5 D D Dp139 6392 126p 63 D 7133 k D k2 11k 30 x 34x 5 2x quot2 D gt2215256 x 5x 3 A 10x 4 D1 x13 x29x20g 7y 9x 9x7y 7 16X 39 r A7y 9x 39 39 B7y 9 x 23 71quot I 9y 3901 Find the least common denominator for the group of denominators 24 ZSxy1Ox2 39 39 A50x3y B 50xy2 25 x2 10x 25 6x 30 A 6x Sx 5 B 6x 5x 5 Perform the indicated operation and simplify I 26 3 1 5 v yz 337 239 372 1 39 A 8y 7 A y 1y 1y 2 3930 y 1y 1y 2 B m 2 5m8 m210m24v m2 1m 20 2 h A 6m 19m 58 H m 4m 6m5 6m2 19m 58 m 4m 6m 5V 27 3 28 10x 14x2 6 B 37x 15 140x2 70x2 A 6x1 113 29 74 2quot X X Y X Y B1x2 8xy 372 2 2 VgtA x 8xyy xyx y x y x y 30 X 6 1x2 16 x25x4 39xz S X25X3924 C A x 4x 4x 1 V x 4x 4x 39 1 6 8 39 1 32 5rs 252 612 13rs 232 1398r2 Srs 52 13r 05 39 39 A 3r sr 256r s 61 r 16839 3 sr 286r s 31 I m B I C 50x2y C 6x 5x 5 1718 6m6 2m2 9m 4V 39 B D6m6quot 6 C 10x 14x 0x2 4xyy21 xyxy x2 5x I x 4x 4x 1 61r 39Os o 315 sr 256r s 39 39 V D 39 13r 16539 1 3r Isr 39256r SI 39 y 1y 1lty 2 D D 16X 7y 9x Dgt50xfy3 D 6x 5x 45 D 8X 7 y1ye2 v 18 4 70x2 quot I D d xz 4x37 y2 x yx 1 y 1x2 5x24 Dl x 4Xgtlt 4 18 32gt 9quot X Y X y XY 18x 3918 A 39 18x W 39 L AX B 39 CX 7 D9 Xyx y xyxy x y Simplify r 39 1 I k6 33 5 k236 5 39 k6 39 ka639 Ak6 Bk 396 C 5 W D 5 Simplify the Icomplex fraction 1 I 1 a 34 1 E 1a 39 39 V gt a 39 2 v A B1 C1a D1 az 92 x x 1 4 3912 A36 B1 039 V 9 r x m 36 39 1632 3632 PCI 36 4 6 q P r V I 64 39 A 33 B6 4 0 1 3 134 6 39 4p6q r pgtv q l 39 Pq pqv 4 2 x 4 x2 37 239 4 x25x2 I 2 I 2 H 39 2 2x 4x B 2x 4x C x2 A D2x 20x32 quot 2x230x 16 6x228x16 x4 139 f 2x24x 16 7x2 11x 6 39 0 7x2 11x 6 39 7x2 41x 54 4x 25 I 6x2 62x 3918 6x2 6x 72 6x 12 2x2 18x 72 Simplify the complex fraction extra credit 2 x X 2 y z 2 Agtquot L2 2 39 Wax 2 I 2 y gtlt I I y x y 40 y2 gtlt2 Perform the indicatedvoperation 39 39 8 8 28 5 41 35X 4x2 A 9x11 I Bgt 2x6 28x5 A A M C 2x6 7x3 I D 8x8 7x3 42 12x7 28x6 24x5 4x6 A9x7 39 B3x7 39 C3x 28x6 D3x7 E quot 2 X 12X35 i x7 39 quot V A e I I Cx25 I Dx5 Ax 28 39 Bx3 2839 16x3 16x2 19x 4 44 4x1 V J t t I N Agt4x2sx4 cgt 4gtlt2 4 List all numbers that mustfbe rejected 5 pos39siblle solutions 19 3 39 4 v x7 xll A7 11l r 39 B711 1939 3 39 3945 C71139 1 D 711193 20 5 x 4Q718x75 A7 18 3915 B7 18 f 7 s V v39 v CO Salve 47 X4X5 2 A86 B1O 1 1 1 2393 v 23 3 B 21 9 39 5 5 1 12 49 m 4fm4quotm2 16 A 11 y B 49 3 8 8 mm y2 y 2 372 4 A6quot B 6 2 t 51T 5t 12 ALPE 39 BM 5 39 x 42x 2x 3 52 2x2 4x4 x1V mg V B3 53 5quotSwizz a 4 a 9 39 A B AWE 8 6 49 1 2 54 25 25115623 5 s 525 5225 5 5 1 AI I C5l 5 Er quot Find the domain of the function 55 g xx 3 Agtltoo 3quot v f quotBus no 39 56 x 8 2x 5 AV 00 4 4 I 39lclt wmgt 1 pm C 10 39 39D7439 5169 5 5 135 C 44 L 4 1 D11 230 DNZE 0164 39 39 I D 016 c 3 2 V D 93 C 8 7 D 4 BM D m s u 5 5 9 500 139 gtIC mm D339eoquot 39er Evaluate 57 JE A7 V B2401 58 2516 A 9 e I B 1 Find the mot if it is a real number 59 142 1 A 14 a B Not a real number I 60 F196 A Not a real number B 14 A 3 61 4 729 A 81 B 18 39 4 62 625 A Not a real number B 125 Convert to radical notation and simplify 63 x7V8 Ax 7 39 i 193 64 452 I A8 B4 65 x49 A1362 82 66 32 35 39 Convert to exponential notation and simplify 5 6 v 3967 NH A1155 I 39 I B11 6825 A4 I 391316 4 3 69 NE 39 Agt5 I W C 5 39 39 D 25 39 s 70 42433 I f a 39 A27 V 39 B3 gt 39 0729 39 39 D243 Use the rules of exponents to Simplify Write39the answer with positive eXp0nents Assume that39all variables represent positive real numbers L V 71 xlsxzs Ax Bx29 y a 39 I v39 39 39 Dx23 72 7n1128n12 I 39 V A5639n12 39 w B15 n12 39 056116 4 j D15n6 910 1 73 37410 X12X78 x14y58 4 39 f V 39 39 4 8 4 I 39 39 4 AWE Bgt xl quot 4 0amp4 DNE 75 b545 V I a I Ab9S I Bb15 39 1 013425 1 Db4 74 76 4amp171357 1 A 16a2 7b10 7 B 8a2 7135 7 39 c16ab107 I D 4amp2 7b10 7 77 256 h1639k183 2 A 4096h24k24 B4096h24sk27 39 39 C 4096k24h27 39 D256h24k27 X1Q 112 7 78 39 39 93 18 V 5 39 1 59 39 59 Agt3X9 B xy2 CXX D y 1 39 3 l 3 Use the rules of exponents to39simplify VJrite the answers with positive exponents Assume that all variables represent positive real numbers 39 39 A 79 14n 32 2 21m1n1 2 p 2 32 quot nsmsz z p n3 Ai n m B v v C v D 4quot I 39 4m321p er Key ame REVTBTST Answer Answer Answer Answer 3 Answer 5 Answer 7 Answer 1 Answer Answer Answer 3 Answer 2 Answer 3 Answer 4 Answer 5 Answer 5 Answer 7 Answer 3 Answer 939Answer 3 Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 5 Answer 7 Answer 3 Answer 9 Answer 3 Answer 1 Answer 2 Answer 3 Answer 4 AnsWer 5 AnSwer 5 Answer gt00wmgt0040gt Given the graph identify the fo oWingzi 39 39 3 Vertical Asymptotes b Horizontal Asymptotes 39 c End behavior U39OOUUUUUgtwgtgttjhwntjwbgt gtbgt wgt 1asxgt ao ygt1 2 asxgtm ygt 139 AnswerKey I A gt v Testnarne REVT3TST 37 Answer 38 Answer 39 AnsWer 40 Answer 41 Answer 42 Answer 43 Answer 44 Answer 45 Answer 46 Answer I 47 AnsWer 3948 Answer 49 Answer 50 Answer 51 Answer 52 Answer 39 753Answer 39 54 Answer 55 Answer A 56 Answer 57 Answer 58 Answer 59 Answer 60 Answer f 61 Answer I 62 Answer I 63 Answer 64 Answer 9 3965 Answer i 66 Answer 67 Answer 68 Answer 39 I 69 Answer 70 Answer 71 Answer 9 39 72 Answer 73 Answer 74 Answer A 75 AnsWer 76 Answer 939 Answer quotD1Dgt39UU39UO39 gt gtUUgtOBgtUwnUgtgtnbgthgtwcjnmnwcjcjxnnnpUgmwwmw Answer Key Testname REVTBTST 78 Answer C r 39798Answer C

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