Bishop Kelley High School Summer Math Program Course: Algebra II College Prep

Transcription

1 Bishop Kelley High School Summer Math Program Course: Algebra II College Prep NAME: DIRECTIONS: Show all work in the packet. Algebra II College Prep: A TI 84 or TI 0XIIS calculator is required for this class. Algebra II students are HIGHLY encouraged to purchase a TI 84 series graphing calculator as it is extremely useful in this class and when preparing for the ACT/SAT. We recommend purchasing it when prices are lowest, during the back to school sales in August. No matter when you have math, this packet is due on the first day of your math class. This material will be graded, and points awarded at the discretion of each teacher A test on this material will be administered during the first week of the class. An additional resource for help with this packet is It provides videos of about 10 minutes in length on hundreds of different math topics. Math Teachers will be available in C 1 the following dates/times if you need help. Date Time Wednesday, July 5 th Monday, July 0 th Tuesday, July 1 st 8 9:0am 8 9:0am 8 9:0am

2 Algebra II College Prep t fm0c1h8p ckau[tdaz yskoyfit[wnaqruel WLRLUCo.y R HA\lElZ DrEicgzhItmsR irvekskejryvoehdt. Evaluate each expression using order of operations. Show all work Name 1) ) ( 4) - ) ( - 6-1) 4) ( ) Simplify each expression by distributing and combining like terms. Show all work. 5) -10m( - 4m) 6) 8r(4 + 5r) 7) 6x - 5(x - 7) 8) -5x(6x - ) - 10x 9) 10x(x + 9) - 10x(-7x - ) 10) -4(m + 5) + (10m + 7) z ie0h1n8] JK`umtsaO PS[oCfXtTwgaorReA \LcLBCq.p S WATlQlG braiaghhdtvsa grfedsbeurpvme\dd.n \ WMXavdbeL Wwtiktqha risnrfnirn`iutkek WAolQgUewbrrpaO K1`. -1-

3 Solve each equation. Show all work. 11) -1 = x ) -18 = 1 - b 1) k 10 = - 14) -16r = ) - = + a 16) 8 + n 10 = 9 17) 19 = 7 + 4x ) -5-8x + = 1 19) 90 = 5( + r) 0) -84 = -4(a + 5) l KT0]1[8Z RKXuOtVaq mswopfitiwsadrtec cljlsck.c Q aaoltl\ YruiygGhat\sB drdeqspeerdvyerd[.b B JMmaxd^el ewyictdhk xihncfaignnintaeo iahlxgxerbzrcay b1m. --

4 1) 11-6b = -(b - 8) + ) 40-4x = -4(4x - 7) ) -(4-5x) + (- - 6x) = 5x + 7-7x 4) (6 + 4n) + 6 = -(- - n) Find the slope of the line through each pair of points. 5) (-0, -0), (-19, -14) 6) (14, -8), (18, -7) 7) (-15, -1), (4, 1) 8) (-0, 0), (-0, 8) Write the slope-intercept form of the equation of the line through the given point with the given slope. 9) through: (5, ), slope = 4 5 0) through: (1, ), slope = - e vk0c1^8z akzugtwa[ xsxotfwtuwyalruee kl`ltc`.m y aamlile ernilglhktlsl frgeys]ekr]vmehdi.c T AMraQdaeZ rwristah^ DIAn\fli`nQiltieZ PAhlUgneGbwrrae C1J. --

5 Write the slope-intercept form of the equation of the line through the given points. 1) through: (-, -) and (-4, 4) ) through: (-, ) and (1, 1) Sketch the graph of each line. ) x - y = - 4) 6x + y = - 6 y 6 y x x Solve each system by substitution. 5) x + y = -0 4x - 4y = 8 6) -x + y = 18-4x - y = -4 e vf0a1j8p gkvultda[ ZSpoRfjtAwTaOrBe[ WLLLtCd.m N oa^l]lr Ar_iIgZhTtbsS lrxerseeprzvqeedg.b f GMtaudLe] IwPiztshk _IPnXfvipnjirtces qa]lkgae]brrval I1q. -4-

6 Solve each system by elimination. 7) 5x - 9y = - 10x - y = -16 8) -4x + 5y = 15 10x - 8y = -4 Simplify using the properties of exponents. Your answer should contain only positive exponents. 9) ) ) 4mn 0 4m n 4 4) -a 4 4b 4) a - b -a -1 4a - b -4 44) -4yx 4 x -4 y 4 45) (-a b 4 ) 4 46) (-x - y ) -1 R qp0y1o8n \Klu]tPa] vs[oefft^wbafrler SLWLeCw.U G xavlglh BrOiagWhItPsT xrzersnezrsvtevdd.z e ]Mkaodreq NwwittFhU JIanPfBinnli[tJe[ waelvgxedbrrwac J1I. -5-

7 47) - 4xy4 48) -m - n x 4-4m n 49) 4u -4u - v -4 50) -vu -u -4 v 4 51) ( -a b ) -1 -a 5) -y - ( -xy - ) 5) ( -u v ) - -v 4 54) -xy (y) Find each product. (Hint FOIL) 55) (6k + )(7k - ) 56) (7a - 4)(8a + 6) r Yh0K1n8N AKquftZad VSVoDfut_wjarrPeZ vlel[ce.k ] qa`lnli hrzifgnhftfsi creezsde[ryv\e]ds.j y OMRandBej lwoittkhl SIin`fYiAnbiStxeW `Afl]gOeGbtrxal b1x. -6-

8 57) (k + 4)(7k - 8) 58) (8n - 5)(8n + 5) 59) (8r - 1)(8r + 1) 60) (x - ) Solve each quadratic equation by factoring. 61) x = -6x + 7 6) a + 8a = -16 6) p - 8 = - p 64) x + x = 65) x + = 4x 66) x + 4 = 10x 67) 5x + 9x = -8 68) 1r = 40-41r u ND0[1w8O XKuuFt[ap DSpoyf[t^wQaHrlef DLzLqCI.p U nazl`ls pryiegphhtwsh irqeesde^ryvierde.u M OMca`dGep \whiut]hh kiqn^fpiln\iltiee IAxlIgYeHbJr^aq T1X. -7-

9 69) 8x - 11x = 10 70) 7x + 55x = -4 Simplify each radical expression. Be sure to rationalize denominators when necessary. 71) 150 p 4 7) 18x 7) 45x 74) 5k 75) 45r 76) - 54a 77) 78) ) 5 80) 0-15 R s`0h1_8x zkcust\aa gsgohfqtmwuafrtea glalkch.h M QAKldlT [rmiqgwhbtis] UrUe\sOesrkvfexdm._ v cmxatdues ^wbietzhg xiunwfpiunkittiej DAgl^gDeJborJak s1l. -8-

10 81) 15 8) ) 84) 4 85) 5 86) ) ) 5 89) ) ^ BN0\1v8^ wktuftzan ]SxoufYtGwyaErAel XLjLVCl.i m BAelMlq vrkiqgshdtesj NrBevsjevrAvDe^dH.v W zm[amdiel \waiut_hp EIwnffNibnziEtJea _ALlDgAeVbhrnaA T1X. -9-