Algebra 1 Final Exam Review
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1 Algebra Name ID: u dh0qu ckquwtfat fszoifituwharr\ek SL[LoCa.\ ] _Akl[lz HrqiGgfh`tqsA PrKeYsmerGvfeSdb. Algebra Final Eam Review Solve each sstem b graphing. Date Period ) = - = - + ) = + = Solve each sstem b elimination. ) = 0 = 8 ) = = Simplif each epression. ) (7 - - ) + ( + 7 ) 6) (7r - 7r - r ) - (8r - 7r + r) 7) (7n - n ) - (6n + 7n ) 8) (7 + - ) - ( + 6 ) Find each product. 9) (a - 7) 0) 7(8 + ) ) (8-7)(7 + 8) ) (v )(8v + 7) l A^0SYv ekhuetuad wsyodfrt\wdaar[eo glyl]ck.q W QAGlUlT ArSiOg_hGtRsC LrIesseprv[efdK.r _ BM_adfew cw\iwtkhr wipnafhianfietmet SAllRg_eMbFrFaH ut. -- Worksheet b Kuta Software LLC
2 Sketch the solution to each sstem of inequalities. ) > + > - ) ³ - ³ Factor the common factor out of each epression. ) ) - 8 p p + 8 Factor each completel. 7) 6m - 8) b - 9 9) b + b 0) r r + ) p + 8 p + ) r - 7r + 70 ) A baseball plaer hit a ball with an upward velocit of 6 ft/s. Its height h in feet after t seconds is given b the function h = - 6t + 6t + 6. What is the maimum height the ball reaches? How long will it take the baseball to reach the maimum height? [ [W0WtV pkbustdap `ScomfFtWwGaqrIeS ZLzLGCN.B k A\lElN grfivgphutxsz brhetsbetrjvetdt.b Q AMlaidkeQ wciotshd ginncf]iynui]tee\ UAulogReMb\rBaH rw. -- Worksheet b Kuta Software LLC
3 Solve each equation b factoring. ) n - 9n + 7 = ) b + b - 8 = - 6) 7a 0a - = 0 7) 7k + 7k + 8 = 0 Find the discriminant of each quadratic equation then state the number and tpe of solutions. 8) - 7 = 0 9) n + n + = 0 Solve each equation with the quadratic formula. 0) a - 7a - 9 = 0 ) n + 7n = 0 Simplif. Your answer should contain onl positive eponents. ) v v ) v v ) ( m ) ) ( ) 6) The population of black rhinos is on the decrease. Currentl there are 00 rhinos in Africa. The are decresing at a rate % per ear. Wrtie an eponential equation to model the situation. 7) Based on the rhino problem, what is the estimated population of rhinos ears from now. ] SC0Es kkhukteag msoofstw]acrzen ulel]ci.d UADlLlV BrqiWglhMtlsU OrAersGecruvkeqdV.[ Q [Ma[dOeX rwiutrhs AI[nefgiFneiFtKej jauljgcejbvrcas Fe. -- Worksheet b Kuta Software LLC
4 8) Determine which model would be fit the data. Eplain wh. (, 8), (, ), (0, ), (, ), (, 0) A) Cubic B) Quadratic C) Linear D) Eponential 9) Determine which model would be fit the data. Eplain wh. (, 0), (, ), (0, ), (, ), (, ) A) Eponential B) Quadratic C) Linear D) Cubic Simplif. 0) ) 8 ) ) 7 + ) ( ) ) 6 ( - 6 ) 6) ( )( + ) 7) ( + )( + ) o EL0[Sw DKUuzt_aQ dseohfft^w`a]rjet PLlLfC.d z qazlklh RrKidgAhFtlsO Or_esDerrJvDecdB.X _ EMYaqdeg iw\ijtkh ZIAnrfLirnwi[tUe aaulgmezbvrqae nv. -- Worksheet b Kuta Software LLC
5 Algebra Name ID: E oe0kn nkuurtsaq [SboNfNtMwmaHrgel JLoL\CZ. P fablqli Krwirglh^tFsz PrOelsNehrRvMeBdN. Algebra Final Eam Review Solve each sstem b graphing. Date Period ) = - = - + ) = + = (, ) (, ) Solve each sstem b elimination. ) = 0 = 8 (8, ) ) = = (0, - ) Simplif each epression. ) (7 - - ) + ( + 7 ) ) (7n - n ) - (6n + 7n ) - 8n + Find each product. 9) (a - 7) a ) (8-7)(7 + 8) ) (7r - 7r - r ) - (8r - 7r + r) -r - 8r + 6r 8) (7 + - ) - ( + 6 ) ) 7(8 + ) 6 + ) (v )(8v + 7) 0v + 9v K Dz0kqQ _KpuRtTaa KSfoWfdtrwca^rze_ L[LJCG.v i kaalelu vrjiyguhjtps] ErteJsceUrFv^ehdM.z a VMNaudSe\ vwpiqtohp BIDnHfkidnkiptteB AwlsgUeCbprBaW jx. -- Worksheet b Kuta Software LLC
6 Sketch the solution to each sstem of inequalities. ) > + > - ) ³ - ³ Factor the common factor out of each epression. ) ( ) 6) - 8 p p + 8 9( p - 6 p + 9) Factor each completel. 7) 6m - (m + )(m - ) 8) b - 9 (b + )(b - ) 9) b + b (b )(b + 6) 0) r r + (r )(r - 9) ) p + 8 p + ( p + )( p + ) ) r - 7r + 70 (r - 7)(r - 0) ) A baseball plaer hit a ball with an upward velocit of 6 ft/s. Its height h in feet after t seconds is given b the function h = - 6t + 6t + 6. What is the maimum height the ball reaches? How long will it take the baseball to reach the maimum height? time =. sec, height = 9.06 ft F th0h`s KYuptJaQ ASIokfZt[weaMrCef plwlgc[.\ i AAflPl\ [r\ifgyhgt`sm IrnessYewr[veadU.l D RMamdMew gw\ijthhv biinof_itntiqtuek zaglpgle`bor[am bp. -- Worksheet b Kuta Software LLC
7 Solve each equation b factoring. ) n - 9n + 7 = {7, } ) b + b - 8 = - {- 7, } 6) 7a 0a - = 0 {-, 7 } 7) 7k + 7k + 8 = 0 {-, - 67 } Find the discriminant of each quadratic equation then state the number and tpe of solutions. 8) - 7 = 0 00; two real solutions 9) n + n + = 0 0; one real solution Solve each equation with the quadratic formula. 0) a - 7a - 9 = 0 {., - } ) n + 7n = 0 {.66,.866} Simplif. Your answer should contain onl positive eponents. ) v v 8v 6 ) v v 6v ) ( m ) m ) ( ) 6) The population of black rhinos is on the decrease. Currentl there are 00 rhinos in Africa. The are decresing at a rate % per ear. Wrtie an eponential equation to model the situation. = ) Based on the rhino problem, what is the estimated population of rhinos ears from now. w of0mcs SKfuktFa^ USzoafftiwaNrwem NLdLWC^.R \A]lIlH RrpiGghhXtBsY qroeesmevrsv^eqdk.h t bmuajdreb FwFi[tXhw JIqnLfIignPittleM ZA\ljg_e`bKrRar _p. -- Worksheet b Kuta Software LLC
8 8) Determine which model would be fit the data. Eplain wh. (, 8), (, ), (0, ), (, ), (, 0) A) Cubic * B) Quadratic C) Linear D) Eponential 9) Determine which model would be fit the data. Eplain wh. (, 0), (, ), (0, ), (, ), (, ) A) Eponential B) Quadratic * C) Linear D) Cubic Simplif. 0) 7 7 ) 8 7 ) ) 7 + ) ( ) ) 6 ( - 6 ) 0-6 6) ( )( + ) - 6 7) ( + )( + ) U gz0_nj `KjuCt^ad MSPohfYtfwDaJrqe` ^LULtCb.U W qahlalv KraifgNhetKsO BrYebsIeCrsvGeHdc.e S lmwaidaea Kw_iUtKhW IPnmfvignJiStveX MAMlPgYe^berJaH du. -- Worksheet b Kuta Software LLC
Final Exam Review #2. Solve each equation. x 16 = 6 2) 12 = p 16. 3) 2 5 x = 2 4) 7(1 8m) = ) 52 = 6( 7 r) + 8(3r 8) 6) 5x + 7x = 8 + 8x
-1- r os0y1xu fkuatwai NSoGfvtuw9aWrLea VLSLWC8.Q h RAlilf irdicg6hmtys6 YrIebsJeBrSvefdp.R DMFacdwef zwuiutxhn 1Iln8fai8nbitje QAEl5gFeXbOrAaB 1l.C Worksheet b Kuta Software LLC Algebra 1 Final Eam Review
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