Northwest High School s AP Statistics Summer Review Packet 2016

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Blanche Caldwell
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1 Northwest High School s AP Statistics Summer Review Packet 2016 This packet is optional! It will NOT be collected for a grade net school ear, however, ou will be given a mini-quiz at the end of the second week over the material in the packet, as it is necessar for our successful completion of AP Statistics net ear. Instructions: DO ALL PROBLEMS WITHOUT USING A CALCULATOR If ou have an questions regarding the summer math packet, please call Aimee Conwa at (301) Khan Academ is another great resource that will show ou videos on all the topics listed in this packet and much more! You can check it out at the link below: ENJOY YOUR SUMMER! WE ARE LOOKING FORWARD TO SEEING YOU IN THE FALL.

2 -1- c W2P0o146A dkdubt1ah gsdoqfrtcw9aornew mlel1cy.w X VA8lKlz prwifgdhftds0 jrtexshe5ravpefdk.8 Q EM5aHdDe3 hwyipt3hb CImnbfwitnaint7eR 3AGl4gJejbAroaI F2K.k Worksheet b Kuta Software LLC AP statistics, Summer Packet, due Sept 9, 2016 Use separate paper, check with answer at the end p w2i0l1j6s rkxu3traa ksdoafbtkwvamrue0 OLBLBC.6 Z sawlxlp Br7i6gihZtOs3 rxeusrer0vee7dk.p Solve each equation. ID: 1 Name Date Period 1) m 2) n 3) a 4) p 5) k 6) 7) 8) 9) n 10) 11) n 12) b 13) r 14) n 15) 16) 17) 18) a 19) b 20) v Evaluate each function. 21) g( ); Find g() 22) g( a)a; Find g() 23) p( n)n n; Find p() 24) g( ); Find g() 25) g( n)n n; Find g() 26) g( n)n n; Find g() 27) w( ) ; Find w() 28) w( n)n ; Find w() 29) p( n)n; Find p() 30) h( t)t; Find h()

3 -2- j 8200H1M6w LK6uMtJaH TS1o8f8tCwpa0rQea ELSLaCT. z EAll6lu trbi8gohwtnsv CrFevs2eir5ve8dk. s MM0addBek jwiiytchk iilnafviwnmintpeu UAul2gEeVbsrUaL G26.l Worksheet b Kuta Software LLC Sketch the graph of each line. 31) 32) 33) 34)

4 -3- e H2E0V1Y6N WKDu6tla1 PSColfRtRwVaprieO plrl8cv.j q 4AOljlL NrKiCgNhhtas6 WrEeXsYeqrnvMe7dk.R 1 rmmaaddew CwAiZtDhW EIFndfji7nniLt6eI DAljgJe7bZrFac Q2h.Y Worksheet b Kuta Software LLC 35) 36) 37) 38)

5 -4- S o290n1e6n KKhu7tHaN NSmoefZtwBanrteQ SLdLbCO. d qapljll BrwibgHhXt6s4 HrVe6sDeErlvJeEdd.2 R jmaagd9ev Owpi2tsha LInafPirnUiGtXeu 9Ael6g5etb4rza7 R2M.k Worksheet b Kuta Software LLC 39) 40) Write the slope-intercept form of the equation of the line through the given point with the given slope. 41) through: (, ), slope = 42) through: (, ), slope = 43) through: (, ), slope = 44) through: (, ), slope = 45) through: (, ), slope = 46) through: (, ), slope = 47) through: (, ), slope = 48) through: (, ), slope = 49) through: (, ), slope = 50) through: (, ), slope = Write the standard form of the equation of the line described. 51) through: (, ), perp. to 52) through: (, ), perp. to

6 -5- f G2V0b1j6z FKVuutbav ASdoTfptdwcaGries vldlicj.l X WAlal9 qruixgbhftsw vrjeysjearevse8do.l g DMa5dHe2 awiimtqha TIknJf0iunHiqtAeQ ma1ljgxeubgrham f2f.a Worksheet b Kuta Software LLC 53) through: (, ), perp. to 54) through: (, ), perp. to 55) through: (, ), perp. to 56) through: (, ), perp. to 57) through: (, ), perp. to 58) through: (, ), perp. to 59) through: (, ), perp. to 60) through: (, ), perp. to Sketch the graph of each linear inequalit. 61) 62)

7 -6- Q I220Q1760 ikkuatua0 rs6otfktfwia0ruel nl2lbct.l g PAnlVl6 3r9i5gTh8t2sB trfelscearqvfeodk.o u omca6duee kwnintmhv wicnpfgimnpigtce3 ganlpgketbcrpaz a2u.t Worksheet b Kuta Software LLC 63) 64) 65) 66)

8 -7- u P2L0S1D6H rkauntbay GSnoYfFtXwfaqrteJ slmlcv.w A eavlwlq Mrfi6gIhCtDs8 RraeNsetrXvjeYdX.D E DMCaDdzeo vwkittjh8 oiqnffpisnpivtve7 ea7lmgaeibfrta4 V2L.N Worksheet b Kuta Software LLC 67) 68) 69) 70) Find the missing term or terms in each geometric sequence. 71)...,,,,... 72)...,,,,...

9 -8- m L280L1u6Y UKruWtraq zsnosfutdwtawraev 6L3L6Cn.0 I sailwl7 ErMiYgzhtzsE orseosfesrlvjegdf.c f 3M3add6em Zwzi9tihM titnqfsi3nqidt8er 5A1lFg0eqbAr8at T2.a Worksheet b Kuta Software LLC 73)...,,,,... 74)...,,,,... 75)...,,,,... 76)...,,,,... 77)...,,,,... 78)...,,,,... 79)...,,,,... 80)...,,,,... 81)...,,,,,,,... 82)...,,,,,,,... 83)...,,,,,,,... 84)...,,,,,,,... 85)...,,,,,,,... 86)...,,,,,,,... 87)...,,,,,,,... 88)...,,,,,,,... 89)...,,,,,,,... 90)...,,,,,,,... 91) For his birthda part Alberto mied together 2 gal. of Brand A fruit punch and 10 gal. of Brand B. Brand A contains 16% fruit juice and Brand B contains 34% fruit juice. What percent of the miture is fruit juice? 92) An alcohol solution was made b miing 4 gal. of a 62% alcohol solution and 12 gal. of a 34% alcohol solution. Find the concentration of the new miture. 93) 8 fl. oz. of a 70% saline solution was mied with 7 fl. oz. of a 25% saline solution. What is the concentration of the miture? 94) A sugar solution was made b miing 12 fl. oz. of a 20% sugar solution and 4 fl. oz. of a 32% sugar solution. What is the concentration of the miture?

10 -9- w 22S0O136 XKquStaS fsrowfjtwwnaqraed ulhlicj.q f VASlpl7 orci9gyhhtxse arneosreeriveeod2.a t bmmandpe7 uwaivt2hr vitnafxiwnfit6ee tazlggcebr6ab Q2G.r Worksheet b Kuta Software LLC 95) A sugar solution was made b miing 6 fl. oz. of a 40% sugar solution and 9 fl. oz. of a 60% sugar solution. What is the concentration of the miture? 96) A metal allo weighing 7 kg and containing 76% platinum is melted and mied with 1 kg of a different allo which contains 68% platinum. What percent of the resulting allo is platinum? 97) 4 ml of a 4% acid solution was mied with 3 ml of a 74% acid solution. What is the concentration of the miture? 98) 2 ml of a 84% acid solution was mied with 4 ml of a 12% acid solution. What is the concentration of the miture? 99) A metal allo weighing 3 lb. and containing 20% silver is melted and mied with 7 lb. of a different allo which contains 50% silver. What percent of the resulting allo is silver? 100) An acid solution was made b miing 2 ml of a 54% acid solution and 10 ml of a 78% acid solution. Find the concentration of the new miture. 101) How man lbs. of mied nuts that contain 60% peanuts must Julio add to 5 lbs. of mied nuts that contain 70% peanuts to make a miture with 62% peanuts? 102) How man mg of a metal containing 83% silver must be combined with 3 mg of a metal containing 67% silver to form an allo containing 77% silver? 103) How much of Brand A fruit punch (45% fruit juice) must be mied with 10 gal. of Brand B fruit punch (15% fruit juice) to create a miture containing 25% fruit juice? 104) 4 oz of arabica coffee beans were mied with 2 oz of robusta coffee beans which cost $7/oz to make Shana's Premium Coffee Blend which costs $9/oz. What is the price per oz of arabica coffee beans? 105) Jimm wants to make a 57% sugar solution. He has alread poured 6 L of a 73% sugar solution into a beaker. How man L of a 45% sugar solution must he add to this to create the desired miture? 106) 6 lb of sliced peaches were mied with 4 lb of sliced bananas which cost $2/lb to make fruit salad which costs $5/lb. What is the price per lb of sliced peaches? 107) Adam created a metal containing 96% nickel b combining 6 lb. of pure nickel with 4 lb. of another metal. What percent of the other metal was nickel? 108) James mied together 6 gal. of Brand A fruit drink and 9 gal. of Brand B fruit drink which contains 20% fruit juice. Find the percent of fruit juice in Brand A if the miture contained 28% fruit juice. 109) How much of Brand A fruit punch (40% fruit juice) must be mied with 2 gal. of grape juice to create a miture containing 50% fruit juice? 110) How much of Brand A fruit punch (20% fruit juice) must be mied with 9 L of apple juice to create a miture containing 80% fruit juice?

11 -10- o T2W081e61 skvultwaa SIo8fethwBaUrFeE WLALZC.r 9 tahllv rrfimgqhktwsi GrmeUsze0rvbewdQ.j V 7MnaVdueJ JwIiztbh0 WIXnOfei6nYivtLeM oaqlkgpelb2r8am M2s.0 Worksheet b Kuta Software LLC 111) Ran wants to make 6 qt. of a 49% saline solution b miing together a 60% saline solution and a 45% saline solution. How much of each solution must he use? 112) Nicole wants to make 12.6 L of a 80% saline solution b miing together a 84% saline solution and pure water. How much of each solution must she use? 113) A metallurgist needs to make 6 kg of an allo containing 81% copper. He is going to melt and combine one metal that is 86% copper with another metal that is 80% copper. How much of each should he use? 114) Brand X sells 28.8 oz. bags of mied nuts that contain 75% peanuts. To make their product the add peanuts to Brand A's mied nuts which contain 60% peanuts. How much of each do the combine? 115) To build the garden of our dreams ou need 4 ft³ of soil containing 28% sand. You have two tpes of soil ou can combine to achieve this: soil with 35% sand and soil with 25% sand. How much of each soil should ou use? 116) Brand X sells 17.5 oz. bags of mied nuts that contain 58% peanuts. To make their product the add peanuts to Brand A's mied nuts which contain 30% peanuts. How much of each do the combine? 117) Julia wants to make 5 fl. oz. of a 26% saline solution b miing together a 40% saline solution and a 20% saline solution. How much of each solution must she use? 118) A metallurgist needs to make 4.5 kg of an allo containing 32% copper. She is going to melt and combine one metal that is 44% copper with another metal that is 26% copper. How much of each should she use? 119) Cod sells 17 lbs. bags of mied nuts that contain 73% peanuts. To make his product he adds peanuts to Brand A's mied nuts which contain 15% peanuts. How much of each does he combine? 120) Danielle wants to make 19.5 L of a 48% alcohol solution b miing together a 6% alcohol solution and a 84% alcohol solution. How much of each solution must she use?

12 -1- s 320s1e66 DKHuBtja ESCoVfhtUwVaurze CLOL3CQ.C X AmlMl0 8rni2gfhhtBsR ErleusKeDr6vzeadR.P k RM4agduek 8whiltahO NIGnpfHihntiAtsez ea8ltgfeqbsrmab f2d.d Worksheet b Kuta Software LLC AP statistics, Summer Packet, due Sept 9, 2016 Use separate paper, check with answer at the end u 92z0m1K6i WKYuYtWa7 vsqo8fktmwfabrse4 WLQLgCL.q m caolulm 3rLiMgOhUtVss FrTeBswe2rOvEe2dc.Z Solve each equation. 1) m 2) ID: 1 Name n, Date Period 3) 5) 7) 9) 11) 13) a, 4) k 6) 8), n 10), n No solution. r, p,, 12) b, 14) n,,, 15) 17) 19) 16), No solution., 18) b, 20) v a,, Evaluate each function. 21) 23) 25) 27) 29) g( ); Find g() p( g( n)n n; Find p() n)n n; Find g() w( p( ) ; Find w() n)n; Find p() 22) 24) 26) 28) 30) g( a)a; Find g( g() ); Find g() g( w( h( n)n n; Find g() n)n ; Find t)t; Find w() h()

13 -2- m 82j0R1i6i nkxunt6ak HS2o5f9tqwpaTrueU ILdLQC5.R p QAOlIlz ZroiDg9hVtcsi lrseqskebrjvpeadm.s H nm1a8dre3 DwAiotLhb jiqnzfwi3nzi0tge0 fabl6giewburgae e2u.m Worksheet b Kuta Software LLC Sketch the graph of each line. 31) 32) 33) 34)

14 -3- L L270s1Z6f akgugtfa2 useosfttwsabrter XL4LECW.H 1 jalxlg ErAiagZhctCsv cr9ecsne9rrv0emd4.4 0 QMaGdPeQ Ywdi5t7hS 1IKnCfbiWnigt7eQ raxlcg2ebvr4at 32d.N Worksheet b Kuta Software LLC 35) 36) 37) 38)

15 -4- p Q2M0E1W6m zkuuztac wsmocffttwhakrber VLtLmC4.e s RA7l2lv craiugohrtcsf KrNe2s6eErKvlecdl.K r 1MVadbeV iwtirtzh2 LIUnzfiiCngiUtkeq DAXlqgqehbwr6a8 K2B.D Worksheet b Kuta Software LLC 39) 40) Write the slope-intercept form of the equation of the line through the given point with the given slope. 41) through: (, ), slope = 42) through: (, ), slope = 43) through: (, ), slope = 44) through: (, ), slope = 45) through: (, ), slope = 46) through: (, ), slope = 47) through: (, ), slope = 48) through: (, ), slope = 49) through: (, ), slope = 50) through: (, ), slope = Write the standard form of the equation of the line described. 51) through: (, ), perp. to 52) through: (, ), perp. to

16 -5- O K2p091z6t 0K9untqav rsbo4fltwwwajrbec sljlucq.d c CASlQl0 KrDiRgbh9tGsR VrWefsmetrPv2ecdA.U 4 JMdaCdAe9 Nwai5tThA EIln1fTitnviAtgeg YADl8gFe0b1rTar D2r.u Worksheet b Kuta Software LLC 53) through: (, ), perp. to 54) through: (, ), perp. to 55) through: (, ), perp. to 56) through: (, ), perp. to 57) through: (, ), perp. to 58) through: (, ), perp. to 59) through: (, ), perp. to 60) through: (, ), perp. to Sketch the graph of each linear inequalit. 61) 62)

17 -6- n j2o041p6s fkauwthar psmoffht7weawrxef clkl4cb.k i aaglglk KrHigZh8tSsU qrregsxeer4vne2do.i T 9MMaed3eh TwpiNtShE WIVnjfkiunEiRtUeN VAml6gXeb1rtaJ q2o.b Worksheet b Kuta Software LLC 63) 64) 65) 66)

18 -7- H i2s0l1q6j KK9uRtEaV ESdojfqtBw5aarSet GLdLWCY.w 4 1AElRlA DrIiJgXh3t8s8 SrbemsHerSvWeCdG.4 7 wmaodcer owci2tvhc 1I6nKfHiZn5i2tQeu FA4lLg5eabHrNaP i2a.t Worksheet b Kuta Software LLC 67) 68) 69) 70) Find the missing term or terms in each geometric sequence. 71)...,,,,... 72)...,,,,...

19 -8- D M2J01Z69 ukou5t2at 0SJonfVtgwzarQeZ UL2LYCK.S 0 6AIlAlZ KrAisgNhFtpsq YrYeisreDrLvteZdz.a 0 RMIaodkeD swtijtpha di0nfwiznibthel gallogsepburiaj L2f.n Worksheet b Kuta Software LLC 73)...,,,,... 74)...,,,,... 75)...,,,,... 77)...,,,,... 79)...,,,,... 81)...,,,,,,,...,,, 83)...,,,,,,,...,,, 85)...,,,,,,,...,,, 87)...,,,,,,,...,,, 89)...,,,,,,,...,,, 91) For his birthda part Alberto mied together 2 gal. of Brand A fruit punch and 10 gal. of Brand B. Brand A contains 16% fruit juice and Brand B contains 34% fruit juice. What percent of the miture is fruit juice? 31% 93) 8 fl. oz. of a 70% saline solution was mied with 7 fl. oz. of a 25% saline solution. What is the concentration of the miture? 49% 76)...,,,,... 78)...,,,,... 80)...,,,,... 82)...,,,,,,,...,,, 84)...,,,,,,,...,,, 86)...,,,,,,,...,,, 88)...,,,,,,,...,,, 90)...,,,,,,,...,,, 92) An alcohol solution was made b miing 4 gal. of a 62% alcohol solution and 12 gal. of a 34% alcohol solution. Find the concentration of the new miture. 41% 94) A sugar solution was made b miing 12 fl. oz. of a 20% sugar solution and 4 fl. oz. of a 32% sugar solution. What is the concentration of the miture? 23%

20 -9-5 O2M01q6e 6KauFtVaA esroufkt7wlakrweo LLKLLCI.S I ma5lml0 GriZgihAtmsb 3rWe3sReDrLv9eRd1.U A LMAaFdeq WwkiktshV IknefRiunVivtier JAYlzgleubmrVaM G2.X Worksheet b Kuta Software LLC 95) A sugar solution was made b miing 6 fl. oz. of a 40% sugar solution and 9 fl. oz. of a 60% sugar solution. What is the concentration of the miture? 52% 96) A metal allo weighing 7 kg and containing 76% platinum is melted and mied with 1 kg of a different allo which contains 68% platinum. What percent of the resulting allo is platinum? 75% 97) 4 ml of a 4% acid solution was mied with 3 ml of a 74% acid solution. What is the concentration of the miture? 34% 99) A metal allo weighing 3 lb. and containing 20% silver is melted and mied with 7 lb. of a different allo which contains 50% silver. What percent of the resulting allo is silver? 41% 101) How man lbs. of mied nuts that contain 60% peanuts must Julio add to 5 lbs. of mied nuts that contain 70% peanuts to make a miture with 62% peanuts? 20 lbs. 103) How much of Brand A fruit punch (45% fruit juice) must be mied with 10 gal. of Brand B fruit punch (15% fruit juice) to create a miture containing 25% fruit juice? 5 gal. 105) Jimm wants to make a 57% sugar solution. He has alread poured 6 L of a 73% sugar solution into a beaker. How man L of a 45% sugar solution must he add to this to create the desired miture? 8 L 107) Adam created a metal containing 96% nickel b combining 6 lb. of pure nickel with 4 lb. of another metal. What percent of the other metal was nickel? 90% 109) How much of Brand A fruit punch (40% fruit juice) must be mied with 2 gal. of grape juice to create a miture containing 50% fruit juice? 10 gal. 98) 2 ml of a 84% acid solution was mied with 4 ml of a 12% acid solution. What is the concentration of the miture? 36% 100) An acid solution was made b miing 2 ml of a 54% acid solution and 10 ml of a 78% acid solution. Find the concentration of the new miture. 74% 102) How man mg of a metal containing 83% silver must be combined with 3 mg of a metal containing 67% silver to form an allo containing 77% silver? 5 mg 104) 4 oz of arabica coffee beans were mied with 2 oz of robusta coffee beans which cost $7/oz to make Shana's Premium Coffee Blend which costs $9/oz. What is the price per oz of arabica coffee beans? $10/oz 106) 6 lb of sliced peaches were mied with 4 lb of sliced bananas which cost $2/lb to make fruit salad which costs $5/lb. What is the price per lb of sliced peaches? $7/lb 108) James mied together 6 gal. of Brand A fruit drink and 9 gal. of Brand B fruit drink which contains 20% fruit juice. Find the percent of fruit juice in Brand A if the miture contained 28% fruit juice. 40% 110) How much of Brand A fruit punch (20% fruit juice) must be mied with 9 L of apple juice to create a miture containing 80% fruit juice? 3 L

21 -10- l t2q0j1g6j mklu2tcar ssroofitnw6awrzel pldlcz.j 0 fa4lvlp NrNi0gXhtt4sX gr8ersesr5vqemdz.q B 4MAa3dCet kwkiit5hc XIwn9fKitnuitRer daulngoefbjrrat 82Y.J Worksheet b Kuta Software LLC 111) Ran wants to make 6 qt. of a 49% saline solution b miing together a 60% saline solution and a 45% saline solution. How much of each solution must he use? 1.6 qt. of 60% solution, 4.4 qt. of 45% solution 113) A metallurgist needs to make 6 kg of an allo containing 81% copper. He is going to melt and combine one metal that is 86% copper with another metal that is 80% copper. How much of each should he use? 1 kg of 86% copper, 5 kg of 80% copper 115) To build the garden of our dreams ou need 4 ft³ of soil containing 28% sand. You have two tpes of soil ou can combine to achieve this: soil with 35% sand and soil with 25% sand. How much of each soil should ou use? 1.2 ft³ with 35% sand, 2.8 ft³ with 25% sand 117) Julia wants to make 5 fl. oz. of a 26% saline solution b miing together a 40% saline solution and a 20% saline solution. How much of each solution must she use? 1.5 fl. oz. of 40% solution, 3.5 fl. oz. of 20% solution 119) Cod sells 17 lbs. bags of mied nuts that contain 73% peanuts. To make his product he adds peanuts to Brand A's mied nuts which contain 15% peanuts. How much of each does he combine? 5.4 lbs. of Brand A, 11.6 lbs. of peanuts 112) Nicole wants to make 12.6 L of a 80% saline solution b miing together a 84% saline solution and pure water. How much of each solution must she use? 12 L of 84% solution, 0.6 L of pure water 114) Brand X sells 28.8 oz. bags of mied nuts that contain 75% peanuts. To make their product the add peanuts to Brand A's mied nuts which contain 60% peanuts. How much of each do the combine? 18 oz. of Brand A, 10.8 oz. of peanuts 116) Brand X sells 17.5 oz. bags of mied nuts that contain 58% peanuts. To make their product the add peanuts to Brand A's mied nuts which contain 30% peanuts. How much of each do the combine? 10.5 oz. of Brand A, 7 oz. of peanuts 118) A metallurgist needs to make 4.5 kg of an allo containing 32% copper. She is going to melt and combine one metal that is 44% copper with another metal that is 26% copper. How much of each should she use? 1.5 kg of 44% copper, 3 kg of 26% copper 120) Danielle wants to make 19.5 L of a 48% alcohol solution b miing together a 6% alcohol solution and a 84% alcohol solution. How much of each solution must she use? 9 L of 6% solution, 10.5 L of 84% solution

SYSTEMS OF LINEAR INEQUALITIES

SYSTEMS OF LINEAR INEQUALITIES An inequalit is generall used when making statements involving terms such as at most, at least, between, greater than, or less than. These statements are inequalit statements.