Calendar of first week of the school year. Monday, August 26 Full Day get books & begin Chapter 1

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1 Gettig Strted Pcket Hoors Pre-Clculus Welcoe to Hoors Pre-Clculus. Hoors Pre-Clculus will refresh your Algebr skills, review polyoil fuctios d grphs, eplore trigooetry i depth, d give you brief itroductio to topics i Clculus. The topics i the course c be bstrct but they hve prcticl pplictio d serve s foudtio for further study i Clculus d other college level thetics. This Suer Review Pcket ws prepred for studets to be ble to review teril fro Algebr II d Advced Mth before begiig the school yer. We thought you ight wt to get hed strt o it over the suer. The pcket is to be copleted by August 0, 0. It will be grded bsed upo copletio d correctess. You MUST show ll work i order to receive credit! You will lso be quizzed o the teril tht se dy. Cledr of first week of the 0-0 school yer. Mody, August 6 Full Dy get books & begi Chpter Fridy, August 0 Gettig Strted Pcket DUE A Gettig Strted Pcket Resource Copio is vilble o-lie o the LZHS Mthetics Deprtet Hoepge. This Resource Copio hs soe Algebr eples tht y be helpful if you hve forgotte prticulr techique or cocept. Although the Resource Copio does ot coti eples for every type of questio i the Gettig Strted Pcket, it c be helpful for y of the questios.

2 Lke Zurich High School Pre-Clculus Suer Review Guide.) Geoetry Topics Equtios of lie:. Slope itercept: y = b y y where slope =. Poit slope: y y = ( ). Stdrd: A By C = 0 Directios: Solve ech proble i the spce provided, circlig your fil swer. Put ll swers i stdrd for.. Write the equtio of the lie prllel to 6y = - d cotiig the -itercept of y =.. Write the equtio of the lie i slope itercept for through the poit with coordites (-,6) d perpediculr to y = 8.. Fid the vlue of if lie cotiig the poit (, -) hs y-itercept of 6 d slope of -/.. Write the equtio of the perpediculr bisector of the seget joiig the poits with coordites of (-,) d (,-).

3 .) Rules of Epoets Properties: = ( ) = r p r p = = b b = = Directios: Siplify ech i the spce provided, showig ll steps. Aswers should hve positive epoets. Circle your swer.. ( y) 0 (y). - b. 6. () - (y) (). ( ) ( ) c b c b uv v u v u uv 8. ( - - ) 9.

4 .) Fctorig Strtegies to use:. Gretest Coo Fctor (GCF). Differece of Squres. Trioils. Su d Differece of Cubes b = ( b)( b b ) - b = ( - b)( b b ). Groupig Directios: Fctor ech of the followig copletely, circlig your fil swer. Trioils. b. 7 c. - 7 d. 6 - e. 6 f. g. 7 9 h. 7 0 i. 9 j. y - 6y k. y 7y 6 l Differeces of perfect squres.. 9 6y b. 6y 8 c. 6 8y 8 Sus d differece of perfect cubes.. 7 b. 8 y c. y 6 6 d. 6 -

5 Cobitios of perfect squres d cubes.. 6 b. 6 y c. y Polyoils i qudrtic for. 6 0 b c. 8 6 Fctor by groupig. 6c b bc b. y 7 7 y c. - b - b d. - b by - 0y e. - f g. - h. b - y - yp - p i. b b 9 j. y - y - y

6 .) Fuctio Nottio Directios: Fid the vlue of ech i the spce provided, showig ll steps. Circle your swer. Give: f() = 7 g() =. Fid f(-). f ( ). f(f()). g( ) g(). f(g()) 6. g(f()).) Rtiol Epressios Siplify the followig epressios :.. y

7 6.) Siplify Cople Frctios Whe siplifyig cople frctios, ultiply both the uertor d deoitor by the reciprocl of the deoitor. Reeber to lso look for coo fctors to siplify.... 6

8 7.) Rdicls Siplify rdicls wheever possible: e) 7 6 y z e) y y y y z z z y y y z z z y y z y e) e) Rtiolize frctios with rdicls i the deoitor: e) 8 0 e6) e7) ( ), ow rtiolize 8 8 Siplify the followig: y Rtiolize the followig: True or Flse Epli why. 8. = for ll 9. b = b 0. 6 = 6

9 8.) Bsic Polyoil Grphs -- Trsltios/Trsfortios of Pret Fuctios Be ble to quickly sketch these five bsic pret grphs fro eory: y = y = y = y = To trslte or ove pret fuctio, use these bsic eples: y = y = ( ) the equtio y = ( ) oves the grph uits to the right d uits dow the equtio y = ( ) oves the grph uits to the left d uits up To trsfor or stretch/shrik pret fuctio, use these bsic eples: the equtio y = shriks the grph verticlly so the height is s tll s the pret grph. the equtio y = stretches the grph verticlly so the height is ties s tll s the pret grph. the equtio y = stretches the grph horizotlly so it is ties s wide s the pret grph. the equtio y = ( ) shriks the grph horizotlly it is s wide s the pret grph. log b Use the equtios below to ACCURATELY sketch the grphs the fuctios without the id of your clcultor. Plese lbel t lest poits, icludig vertices, d lso lbel the syptotes if ecessry.. y =. y =. y =. y =. = ( ) y 6. y = log ( )

10 ANSWERS: Sectio : Geoetry Topics. y = 0. 0 y =. 9. y = or y = 0 Sectio : Rules of Epoets. y b 8y b c 67 uv 6 ( ) or Sectio : Fctorig Trioils. ( )( ) b. ( )( ) c. ( )( ) d. ( )( ) e. ( )( ) f. ( )( ) g. (7 )( ) h. (7 )( ) i. ( )( - ) j. ( y)( y) k. (y )(y 6) l. ( )(8 ) Differeces of perfect squres.. ( y)( y) b. ( 8y )( 8y ) c. ( 9y )( y )(z y ) Sus d differece of perfect cubes.. ( )(9 ) b. ( y)( y y) c. (y 6)(y 6y 6) d. does t fctor Cobitios of perfect squres d cubes.. ()( -)(-)( ) b. ( y )( - y y 8 ) c. (y )( -y y )(-y )( y y )( ( y )( - y y 8 ) Polyoils i qudrtic for. ( ) b. ( )( ) c. ( )( )( ) Fctor by groupig. ( b)( c) b. ()(y7) c. ()( b) d. (-y)(-7b) e. (-)()() f. (-)() g. ( )( ) h. (b y p)(b y p) i. ( b )( b ) Sectio : Fuctio Nottio Sectio : Rtiol Epressios. y y ( ). ( )( ).. ( )( ). ( ) Sectio 6: Siplify Cople Frctios. ( ). or ( )( ). ( ) Sectio 7: Rdicls.. y y True 9. Flse, just let = d b= for istce 0. Flse Sectio 8: Bsic Polyoils Grphs (use grphig clcultor to verify grphs

Algebra 2 Readiness Summer Packet El Segundo High School

Algebra 2 Readiness Summer Packet El Segundo High School Algebr Rediess Suer Pcket El Segudo High School This pcket is desiged for those who hve copleted Geoetry d will be erolled i Algebr (CP or H) i the upcoig fll seester. Suer Pcket Algebr II Welcoe to Algebr