WCCS Summer Math Packets School Year. Dear WCCS Students,

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1 WCCS Summer Math Packets School Year Dear WCCS Students, Please complete the summer math packet for the math class ou will be taking net school ear. Unless ou register within two weeks of the beginning of the school ear, ou are responsible to complete the packet before the first da of school. Your first test grade of the quarter will include 50% completion grade for the summer packet and 50% from a skills assessment given in class at the end of the first week. This packet will be collected from each student the first da back and adequate work must be shown for problems as appropriate. Five points will be deducted for each da the assignment is not turned in to our math teacher. If ou have trouble working the problems, look at online resources, ask a friend or parent for help. Problems should be familiar from our previous course of math and help ou prepare for success in the net course. In some cases, ou ma need to refresh our memor as our work through the problems. Please refer to the list of online resources below. There are man more resources and videos available on certain topics if ou do an online search. We hope ou have a blessed summer! Top Online Resources: Denise Kendrick, dkendrick@wccs.com WCCS Math Department

2 Calculus w Qa0V1Td CKluXtjaZ _SjodfHtGwdarHeA olvltcj.d ^AMlIl[ erfiughhtps] qrfedsvemrwvmeda. Summer Work Name ID: 1 Date Period Write the slope-intercept form of the equation of the line through the given point with the given slope. 1) through: (, 3), slope = 3 ) through: (1, ), slope = undefined 3) through: (-, 1), slope = - 3 ) through: (1, 1), slope = Write the slope-intercept form of the equation of the line through the given points. 5) through: (5, -1) and (3, 0) ) through: (-, -) and (0, -3) 7) through: (5, 3) and (0, -) ) through: (0, -3) and (1, -1) Solve each equation b factoring. 9) n = 9n ) m + 5m = - 11) p - = 3 p 1) m = - 3m Solve each equation b completing the square. 13) = - 1) b + 1b + 9 = - Sketch the graph of each function. 15) = ) = 1 3 ( ) ^ po0i1ce ukbuttiao dszonfctwwbaqrvej \LaLcCR.^ K uaelslf NrkiDgNhNtKse ardepsoeertvoehde.s omsabdmep ^wwibtdhu YIYnQfwi]nliYt[e[ QAXlagWePb^rPa^ Ga. -1-

3 17) = - 1 ( ) = - ) Solve each equation. Round our answers to the nearest ten-thousandth. 19) 10 + = 0) e r = 9. 1) 0 9 p - 10 = 7 ) k = -7 Epand each logarithm. 3) log 9 u 3 v 5 ) log 7 ( 10 )5 3 5 Condense each epression to a single logarithm. 5) 3 log a + 9 log b ) 3 log 1 - log 5 Solve each equation. 7) log 17-3n = log 17 -n ) log 3 (-r - 7) = log 3 (5-3r) 9) log 9 + log 9 7 = 30) log 3 - log 3-3 = 1 Use a double-angle identit to find the eact value of each epression. 7 31) cos q = - Find sin q and 10 < q < 70 3) cos q = 1 and 0 < q < Find cos q Use a half-angle identit to find the eact value of each epression. 33) cos q = 15 and 0 < q < Find sin q 3) cos q = Find tan q and 70 < q < 30 M cx0i1\ TKzuZtFaP zsoojfst^w`akrje FLDLOCC.[ T hanlwlo erzig_hutrsz CrreHseeRr_vmehd.N n CMpaNdBeY \wtiptghh wiknwfqiznjizt]ei maxljgbeebzrnak sa. --

4 Use the angle sum identit to find the eact value of each. 35) cos 19p 1 3) sin 13p 1 Use the angle difference identit to find the eact value of each. 37) sin - p 1 3) cos p 1 Graph each function using radians. 39) = sin q - 0) = sin ( q + p ) 1) = cos ( q + 3p ) - ) = 1 cos ( 3q - 5p 3 ) - 1 3) = tan ( q + 5p ) + 1 ) = 3tan ( q 3 + p ) - c Bs0S1KQ GKeumtVaW WSwoEf_tswbaKrIez ELHLwCC.s M AdlYlR srhi]gkhgtdsn hrnejsge_rhviegdn.b OMBaednek ZwBiJtZhc XIgnEfEidnPi`tBea LADlWgfeObDrraH it. -3-

5 5) = csc ( q + 3p ) ) = csc ( q + 5p ) - 7) = 3sec ( q + p ) - 1 ) = sec ( q + p 3 ) + 9) = cot ( q 3 + p ) ) = 1 cot ( q + 3p ) - 1 Solve each sstem. 51) = = - 5) = = 0 53) = ) - = - 1 = = Solve each sstem b elimination. 55) -a + b + c = 11 3a + b + c = 7 a + b - 3c = 17 5) -r + s = 5 -r - 3s + t = -1-5r + 3s + t = 5 s OG0r1Hs MKqumtqac gslorfttzwlagrlev _LoLZCQ.h l UAblnlz krxijg_h^twsz tr`egscerrkvlejdp.p H MYaudQe^ JweihtHhE dian[feiunqiqtgen GAnlPgGeXbbr`aW Mh. --

6 57) a + 3b + 3c = 1 -a + b - 3c = - -a - b - c = - 5) -3r - s + t = - r + s + 5t = -1 s + 3t = -5 59) Jill and Am are selling wrapping paper for a school fundraiser. Customers can bu rolls of plain wrapping paper and rolls of shin wrapping paper. Jill sold 1 rolls of plain wrapping paper and 9 rolls of shin wrapping paper for a total of $3. Am sold 7 rolls of plain wrapping paper and 1 rolls of shin wrapping paper for a total of $. Find the cost each of one roll of plain wrapping paper and one roll of shin wrapping paper. 0) The sum of the digits of a certain two-digit number is 9. When ou reverse its digits ou decrease the number b 7. Find the number. Identif the verte, focus, and directri of each. Then sketch the graph. 1) 1 ( + 3) = ( + ) ) + = ( + ) ) = 0 ) = U Sk0H1vj kkductjaz esroofltkwtaargey BLDLoC^.S U HAnlulE ErWiWgJhdt^sw crfedsieyravoerdu.q V bmqahdhee Dweiutzhh qiwnmfhiinixtdeh [AKlgeLborraz YE. -5-

7 Identif the center and radius of each. Then sketch the graph. 5) ( - ) + ( - 1) = ) + = ) = 0 ) = Identif the vertices, co-vertices, and foci of each. Then sketch the graph. 9) ( - ) 5 + ( - 1) 9 = 1 70) + ( - ) 1 = p sm01mg pkaubtjaa us_owfbtjwjaurne CL_LUCQ.r v talluld trpiigwhrt`sw ZrbePsgeVrnvQeWdh.\ ] NMtavd[en BwCiPtnhM UIMnFfJibnpittseu WAlEgteKbTrgah Cl. --

8 71) = 0 7) = Identif the vertices and foci of each. Then sketch the graph. 73) 1 - ( + ) 9 = 1 7) 1-5 = ) = 0 7) = S sb0k1nw mknuet`ag psrocfvtwoakrbej al[lrci.f W [AplmlJ nrkigehstssw rrbeqstenrev_eydx.h E amwaidreg `whi[tshg YI\nvfuignPiLtYeh aa[ltgdeabrka` Bl. -7-

9 Calculus Name ID: 1 h Vw0S1MY dkouptha] psbo[fbtewkarr^eh cl_ljcx.s c ^AlzlO ermiwguhtqsn zrteasreirvweed. Summer Work Part Evaluate each limit. 1) lim -tan () Date Period ) lim sin () 5p - p 3) lim sin () ) lim -cot () - 5p p 3 5) lim -3 + ) lim ) lim -p -cos () ) lim ) lim ) lim ) lim ) lim ) lim -3 f (), f () = { , ¹ -3, = -3 1) lim 0 f (), f () = { , ¹ 0, = 0 15) lim 3 f (), f () = { + 1, ¹ 3, = 3 1) lim 1 f (), f () = { - +, ¹ 1-5, = 1 Memorize the following. 17) You will need to have the following items memorized: Pthagorean Identities, Power-Reducing Formulas, and all values of Sine, Cosine, and Tangent on the Unit Circle. H FY0[1Eo ^KuugtzaY rsho^fqtvwka[rned clllect.s R SAmlJlS ruimgvhlttsp lraevsceprovpepd].c o WMLahdHea owaictghm lienfzifnmiat[ei SCJanlcWupl^uYsr.