Algebra 1B - Fall Semester Exam Study Guide

Transcription

1 Algebra B - Fall Semester Eam Stud Guide A pm0\qp QKKuKtNaM ISmoUf\tzwraVrzeE ZLSLGCa.d s ^APlrl wr]icgdhstfst HrgeOsYe\rYvSeUdg. Given the graph, determine the solution to the sstem of equations. ) ) No Solution Infintel Man Solutions (, 0) (0,) ) Given the graph in #, deteremine if the sstem of equations is inconsistent, independent, or dependent. Independent Dependent Inconsistent Solve each sstem of equations. 5) - = = - No solution (, -) (-, -) (-, -) 7) = = (-, -) (-, ) (-, -) Infinite number of solutions (,-) (-,) No Solution Infintel Man Solutions ) Given the graph in #, deteremine if the sstem of equations is inconsistent, independent, or dependent. Inconsistent Dependent Independent ) 5 - = = (-9, -) No solution (-, -) (-, ) ) - + = = - + (, -5) (-5, ) (-, 5) (, 5) Simplif. Your answer should contain onl positive eponents. 9) n n n 9n n 5 n 0) ( )0 C CW0Wbm KWujtBaJ YSpopfvtw^aPrvew slel]cn.s c QAMlRl_ ur[iggahmtysg KrBeusWeorFvge[dR.C u `MWavdNeM GwiiBtahb hionhfbionhirtrec zayl]gtesbvrcad nf. -- Worksheet b Kuta Software LLC

2 ) z z z z z ) (m n 0 mn ) n m m n m 0 n m 7 n 5) a- b - a b a b Simplif. a b 7) 7 9) 7 b a a 7 b ) ( 0 ) ) (a b ) (a ) a b a b b 0 a b a 9 ) - - ) ) Write each number in scientific notation. ) Simplif. Write each answer in scientific notation. ) (. 0 0 )( ) V ^W0dO` VKjurtcar [SboIfltdwTaLrtec TLqL^CG.z v jablflt [reimglhktzsg drceusvezrkvteqdu.m N PMiaOdbei Iw]iatsh^ QIdnPfwivntivtbeC `A^ljgee^bmrpaC R_. -- ) 0000 ) Worksheet b Kuta Software LLC

3 Does the table show eponential behavior? 5) 0 5 Yes No 7) The Greens bought a condominium for $0,000 in 00. If its value appreciates at an average rate of % per ear, what will the value be in 05? $,5, $7,0 $,,770,000 $7,05 9) What is the leading coefficient of - + 5? - 5 ) Yes No ) A piece of machiner valued at $5,000 depreciates at a stead rate of 0% earl. What will the value of the piece of machiner be after 7 ears? $,95 $,77 $,957 $,7 Solve the equation. 0) (- - v) = v - ( + v) {} {} {-} {} Classif each polnomial. ) not a polnomial binomial monomial trinomial ) not a polnomial monomial trinomial binomial ) n + 5z monomial trinomial binomial not a polnomial ) binomial trinomial monomial not a polnomial Find the sum or difference. 5) (7-7 ) + (7 + 5 ) ) ( - 7) - ( + ) p Du0\H JK\uHtXaG ASSo`fIt_wBaZrmeJ BLMLgCh.b J ANl_lt VraijgmhLtjsp qrnemspedrsvde]do.g A EMVaQdlel Bwqi[tThR KInIfdibnRiithe] walugwemb_rpah kj. -- Worksheet b Kuta Software LLC

4 7) From 999 to 009, the number of dogs D and the number of cats C (in hundreds) adopted from animal shelters in the United States are modeled b the equations D = n + and C = n +,where n is the number of ears since 999. Write an equation that models the total number T of dogs and cats adopted in the United States. T = n + T = n + 7 T = n - 7 T = n - Find each product. 9) 5 ( + 0) - ( - + ) ) n (n - n + ) 0n - n - n 0n + n + n 5 - n + n n + n - ) (a + 7)(7a + ) a + a - a + 5a + a - a - a + 5) (5 - )( + - ) ) (5b + ) b + b + 5b + 5b + 0b + 5b - ) The perimeter of the triangle can be represented b the epression Find the epression that can represent the third side ) ( - - 5) + (5 + ) ) (m + 7m + ) m + m + m m + m + m + m + m 5 + m + 7m ) (p - 5)(p - ) p - p + 5 p - p - 0p - p + 5 ) (r + 7r - )(5r - r - ) 0r - 5r + r + r + r - r + 0r + r - r + r + 5r + r + 0r - 5r - ) (m - n) 9m + n 9m - mn + n 9m - n m + mn + 9n V WR0[zA FKAuPtIao esfovfmtpwwarrheo vlhlwcz.n W AClQlG qrniqgfhbtssl Or`eosuerrFvVeZd[.P N lmvad`es VwIiBthw jiantfnifngi]tzea aaslgbenblryar Ap. -- Worksheet b Kuta Software LLC

5 9) ( + 5n)( - 5n) 5-9n - 5n + 0n + 5n - 0n + 5n Sketch the solution to each sstem of inequalities. 5) ³ - - > ) (n + )(n - ) n - n - n + 9 n + n + 9 n - 9 5) > 5 + > q X]0NES kk`uvtzaw XSeohfgtvwvaWrNes DL[LBC[.j ` DAkl[lu QreieghNts\ HrfeBsKergvVecde.T R cm]aedaej BwPiVtnhB MIQnefviXn^iHtSec jadlgaedblr^as mj. -5- Worksheet b Kuta Software LLC

6 Choose the correct graph for the sstem of equations. 5) = - = - + 5) = + = q C]0XV\ AKuuatgah FS^oSfBtvwvaBrueU qljl\ct.q p baulmln urqidg^hutgsr OrueqsserPvNe^dD.T T MGaDdsez ]wgijtuhe TI]ncfXiPnMijte^ KAlZgNembTrZaq Vd. -- Worksheet b Kuta Software LLC

7 Choose the correct graph of each function 55) = ( 5) = ) ) Give the domain and range of the function in #55. D: All Real Numbers R: > 0 D: < 0 R: All Real Numbers D: All Real Numbers R: < 0 D: > 0 R: All Real Numbers w vf0fe wkmuptrap hsrozfetownairiei GLOLgCc.S M HAqldlq YrYiVghhctHsl Ur]eAs]erkvXeKdq.t q lmra_dses rwtirthh\ cimn_f^iundiitter GAYlogFerbLrNaQ iw ) Give the domain and range of the function in #5. D: All Real Numbers R: < 0 D: > 0 R: All Real Numbers D: < 0 R: All Real Numbers D: All Real Numbers R: > 0 Worksheet b Kuta Software LLC

8 Answers to Algebra B - Fall Semester Eam Stud Guide ) B ) B ) B ) C 5) D ) B 7) D ) D 9) B 0) A ) A ) A ) C ) B 5) D ) C 7) B ) C 9) D 0) C ) B ) B ) D ) B 5) B ) A 7) D ) C 9) D 0) A ) C ) C ) C ) D 5) B ) B 7) B ) D 9) D 0) C ) C ) C ) B ) A 5) D ) C 7) C ) B 9) B 50) D 5) C 5) B 5) C 5) B 55) B 5) B 57) A 5) D B o0fz] bkkumtcaf CSmosfDtbwraBrpeH FLzLjCf.h TA_lElk SrgiZgQhUtfso Prwe`sCe`rIvFePdv.O a hmeakdsec Xwmi^tChC DInPfFi]nuimtaeh paslpgye^btrpay NR. -- Worksheet b Kuta Software LLC