Algebra II Pre-AP 1st Semester Exam Partial Review 23-24 PDF

Algebra 2 Pre-AP Name___________________________________ ©o W2W0O2s3P ZKjuwtna\ RSJowfAtYwAawrpeB yLsL_Ck.B C rAClDlM ErkivgBhztEsY irkemsgebrLvSeHdi. Exam Review (May not cover all topics)...

Algebra 2 Pre-AP Name___________________________________ ©o W2W0O2s3P ZKjuwtna\ RSJowfAtYwAawrpeB yLsL_Ck.B C rAClDlM ErkivgBhztEsY irkemsgebrLvSeHdi. Exam Review (May not cover all topics) Date________________ Period____ 1) Review your notes from the entire first semester. Go over the Real Number system and properties of Real Numbers. The review is not required but will count as extra credit on your semester exam grade. Must show work to get any credit. Solve each system by elimination. 2) -5x + 5 y = -25 4x - 2 y = 14 Solve each system by substitution. 3) -2x - 4 y = 18 -6x - 2 y = 14 Solve each system of equations. 4) 3 y 2 - 31x - 2 y + 22 = 0 5) y 2 - 54x - 2 y + 136 = 0 -x + y - 2 = 0 3x + y = 4 Solve each system by elimination. 6) 4a + 5b + 3c = 16 7) 5x + 6 y + z = 5 -5a - b - 3c = -2 -5x - 2y + 2z = -8 a + 5b + 5c = 2 -2x + 5y + 2z = -17 Worksheet by Kuta Software LLC -1- ©L A2v0Z2W3r bKJu^thav aSaokfGtlwSakrYew ULzLjC].U U RAIlDlH KrziUgHhLt[sS ^rBedsOeqrHvAeud\.` j nMRaSd]eX AwiiVtxhQ EIgnIfyiantiztiej GAKltgZejbkreap C2e. Solve using a system of equaitons: 8) A ceramic tile designer has someodd lots of tiles in boxes. A particular box contains square, pentagonal and hexagonal tiles. Altogether ther are 100 tiles, which have a total of 510 sides. There are 20 more pentagonal tiles than hexagonal tiles in the box. Find the number of each type of tile in the box. Solve each equation by factoring. 9) 4x 2 + 36x + 32 = 0 10) 8x 2 - 96x + 256 = 0 11) 5v 2 + 12 = 19v 12) 6x 2 - 8x - 64 = 0 13) 3x 2 + 25x = -28 14) x 3 + 3x 2 - 4x - 12 = 0 Solve each compound inequality and graph its solution. 15) -52 < 9a + 2 < -34 16) 10x - 9 £ -59 or 7 - 6x < 19 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 -10 -8 -6 -4 -2 0 2 Solve each equation. 17) 7 - 5x = 52 18) -3x - 3 = 30 Worksheet by Kuta Software LLC -2- ©v F2u0^2f3[ _KJuYtKag pS\oNfWtnwEa`rxeX tLhLICM.l Z oAXlylA drYibgkhOtDsF zrPePsDeDrWvUezdG.H H ^MvaodLeU Qwciatbhy qIInQfNiRnNiltReK CADlWgReCbGrTa\ u2t. Solve each inequality and graph its solution. Write your answer in interval notation. 19) 10x - 9 ³ 89 20) 10x - 2 £ 68 -12 -8 -4 0 4 8 12 -8 -6 -4 -2 0 2 4 6 8 10 Graph each equation. 21) y = -3 x - 3 + 2 22) y = 2 x - 4 + 3 y y 6 6 5 5 4 4 3 3 2 2 1 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 23) y = -3 x + 4 + 1 24) Write the equation of the new graph when y y= x is shifted 4 units right, 3 units down 6 and a vertical stretch of 2. 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 x -1 -2 -3 -4 -5 -6 Worksheet by Kuta Software LLC -3- ©_ J2x0W2C3E eKluDt]af hSBoxfXtewjaKr^eg QLpLdC[.M C XAxlYlF WrjiLgehMtQs] Mrje`sCewr_vHeidL.[ \ JM]ahdMeZ zwaiJtBhM aIUnCfFiTnxiktsew QATl[gCeEbLrQa[ _2^. 25) Compare the graph of y= x to the graph 26) Compare the of y= x to of y= -2 x - 7 + 4. 1 y= × x + 5 - 2 3 Simplify. Your answer should contain only positive exponents. 3 4 4 27) ( x y ) × (2 y 2) 4 28) (2 y -2 × xy -3 4 ) (2x 3 × 2x -1) 2 (b 2) 4 3 29) 2x y -1 3 30) ( 3 -1 ab × 2a b -3 4 ) Simplify each expression. 31) (-7x 4 + 8x - 5x 2 ) - (8x + 3x 4 + 5x 3 ) 32) (-5x 3 - 2x - 2x 2 ) + (3x - 4x 3 + 6x 2 ) Find each product. 33) (8x - 6)(2x - 2) 34) (3n + 1)(6n 2 + 3n + 2) 35) (3x - 5) 2 36) (6a + 8)(6a - 8) Factor each completely. 37) 28n 3 - 4n 2 - 21n + 3 38) 16x 3 + 54 Worksheet by Kuta Software LLC -4- ©S G2Z0E2l3Y jKyuOtOaF MSlopfitZwIaCrNee aLSLwCv.o s qA[lFlp xrSiugxhGtCsq ]rCe^sAesrOvIezd`.q J mMTaIdVei jwYiGtxhF SI`nSfEiGnZiQtPeF SAnlqgaeGbYrGae z2[. 39) 500x 3 - 32 40) x 4 + 7x 3 + 10x 2 41) 12x 2 + 6x - 36 42) 28v 2 + 276v + 216 43) 7k 2 + 4k 44) 50v 2 - 285v + 270 45) 36n 3 + 328n 2 + 320n 46) 18b 2 + 24b - 64 47) 7x 4 + 6x 2 - 16 48) 18x 4 + 168x 2 - 120 Simplify. 4 49) 6 243x 2 y 8 z 3 50) 4 27xy 2 z 3 3 3 51) 3 10a 2 bc 4 × 2 50a 3 b 3 c 4 52) 15x 2 y 5 × 6x 2 y 4 53) 3 12x 2 y 3 × 12x 3 y 2 4 12x 3 y 4 54) 4xy 75x 5 y 3 5x 55) 56) 3xy 2 2 3x 3 Worksheet by Kuta Software LLC -5- ©\ N2R0H2l3R OK_uitZaI bSUoDfItHwzaIrbec pLDLSCB.a R MA\lUlS yrxiPgnhJtRs] Zr`easweKrgvvepdc.t A WMmasdmeK hwGiMtxhh bIrnjfRiDnbivtAee BAZlKgUebbQrVai J2X.  12x 3 y 3 4 6x 2 y 5 57) 58) 20x 4 y 2 2 18x 5 y 2 Solve each quadratic inequality. Graph the solution and write your answer in interval notation. 59) 2n 2 - 5n - 42 ³ 0 60) 5x 2 + 4x - 12 £ 0 Sketch the solution to each system of inequalities. 61) x + y ³ -8 62) 5x - 4 y < 16 6x - y > -6 x + 4y > 8 y y 10 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 x -10 -8 -6 -4 -2 2 4 6 8 10 x -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 Solve each literal equation for the given variable. 63) Solve for r: A= p(1+rt) 64) Solve for x: cx = dx + e 1 66) Solve for v: h = vt - 5t 2 65) Solve for b: A = bh 2 Worksheet by Kuta Software LLC -6- ©^ R2i0M2O3l YK]uituaQ XSgo_fEttwjaOrme[ sLvLwCE.Q n iAhlPlf JrhiYgihNtksT OrGefsoegr[v\eqdh.] N jMYaIdKev gwXiat_hm PISnhf[ienoiztZet KATlggBeGbprQaO w2O.