Citrus Valley High School

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1 Citrus Valle High School Dear Math I Honors Student, Familiarit with pre-high school math concepts is essential for success in the Integrated Math I Honors class. The majorit of the questions in Math I require a working knowledge of Math 8 topics as well as an ecellent understanding of basic mathematical operations including decimals and fractions. Print this packet and complete all problems; making notes on topics that ou do not understand. Memorize and have a working knowledge of all definitions and formulas that are given if ou don t alread know them. Understanding basic mathematics and linear algebra concepts will be VERY important to our success in this class; make sure ou understand these topics. Your job: DO NOT USE A CALCULATOR. You must show all our work in the space provided. Make sure our work is legible. Staple our packet in the order it was printed. It is vital that ou complete this packet before the beginning of the school ear. This packet will be our first official grade in the grade book. This is not meant to be bus work. You absolutel need these skills to be successful. See ou in August! Mrs. Canizales Citrus Valle High School Mathematics Department

2 VOCABULARY: Match the given words to the correct definition. Write the answers on this page. absolute value equation area prime number sum base eponent integers counter eample variable composite numbers epression perimeter quotient difference factors ordered pair rational number function median irrational number opposites inverse operations coefficient mean mode domain range product conjecture congruent volume. a mathematical sentence that contains an equal sign. made up of quantities and the operations performed on them. smbol that is used to represent a number. used to locate points (,) in the coordinate plane. the amount of square units required to fill a two dimensional space. found b taking the sum of all the values and dividing b the number of values 7. the solution to an addition problem 8. the solution to a subtraction problem 9. the solution to a multiplication problem 0. the solution to a division problem. whole numbers and their opposites ( -, -,, 0,,, ) smbol is Z. the number that appears most often in a set of numbers. the distance around the outside of an object. a number that can be epressed in the form a/b, in which a and b are integers and b 0 (Smbol is Q). a number s distance awa from 0. the middle number in a set of numbers when the numbers are arranged from least to greatest 7. the quantities that are multiplied in a multiplication epression 8. a whole number greater than one, with eactl two factors, and itself 9. a whole number greater than that has more than factors 0. in an epression of the form ⁿ. two numbers that are the same number from zero on the number line, but on opposite sides. two operations that undo each other, such as addition and subtraction. if a term of an epression consists of a number multiplied b one or more variables, the number is called. the n in an epression of the form ⁿ. the collection of all input values of a function. a rule that establishes a relationship between two quantities, the input and output 7. the collection of all output values of a function 8. an number that cannot be written in the form a/b, such as π 9. an eample that shows a conjecture false 0. an unproven statement based on observations. the amount of cubic units required to fill a dimensional space. the same, used for geometric figures

3 GEOMETRY FORMULAS Reminders: pi ( ). units MUST be written Practice: (assume all units are cm) cm ) ) ) cm Area Perimeter ) rectangle A = LW = P = L + W = ) triangle A = ½ bh = ) circle A = r = Circumference = r or d = Find the volume of the given shape: (assume all units are cm) Volume (units ) ) Rectangular Prism V = lwh ) Clinder V = πr h= Radius = Height = PYTHAGOREAN THEOREM a + b = c (RIGHT TRIANGLES ONLY!) cm Find the length of the hpotenuse cm

4 IDENTITY AND EQUALITY PROPERTIES (used to simplif epressions) For an numbers a, b, c Additive Identit Propert Multiplicative Identit Propert a + 0 = 0 + a = a a = a = a Multiplicative Propert of Zero a 0 = 0 a = 0 Substitution Propert Refleive Propert Smmetric Propert Transitive Propert Distributive Propert Commutative Propert Associative propert If a = b, then a ma be replaced b b a = a If a = b, then b = a If a = b and b = c, then a = c a(b+c) = ab + ac and a(b-c) = ab - ac a + b = b + a and a b = b a (a+b)+c = a+(b+c) and (ab)c = a(bc) PRACTICE: Name the propert illustrated b each statement ) + 0 = ) 0 () = 0 ) = ) + = + ) + = + ) ( ) + = 8 + 7) If + = 9 then 9 = + 8) 9(r + s ) = 9r + 9s 9) If + = and =, then + = 0) (c + ) + 0 = c + ( + 0)

5 Integrated Math I Honors Name R WF0hu7` ZKvu`ttaP usso[fnt^w[a^rdef NLLVCo.R ` UA`ltlb prxipgdhltds] HrmensgeTrCvXeNd[. Summer Work Packet Evaluate each epression. ) (-) - () + 9 ) () ) 7 - (-8) - () ) () - + (9) ) (-0) ) + (-) + 0 Find each product. 7) ()(8)(0) 8) (8)()(-) 9) ()()(-) 0) (-)()(9) ) ()(8)(0) ) ()()() Find each quotient. ) 98-7 ) 0 ) - 7 ) 8 t cg0ad7n sk^ubtvaz ]S[oLfatawIaTrVed gl^l]ch.g c WAqlYlC YrKimgsh\t]so BrLeksTezrNvzemdU.t w emaaodse_ GwuitMhA jienpfgi[n]irt[ew lawlmgdehbriax EF. -

6 7) -7 8) 9 Evaluate each epression. Show each step of our work in the space provided. 9) (0) ) () - ) (8) ) (-7) () - 8 ) 9 ) 7 - ( 8 + () ) Evaluate each epression using the values given. Show our work in the space provided. ) ( + ) + ; use =, and = ) k( j + j ); use j =, and k = 7) z z - ; use =, =, and z = 8) - m - (n - n); use m =, and n = 9) - ( + - z) ; use =, =, and z = 0) + j + h; use h =, and j = Z DB0MG7L NKRuWtiav YSnoZfZtWwia_rKeF ZLuLXCR.` g oallllj \raiygahctes` frhesmecrtvjemdk.k r emcabdzef XwZitThw IIYnifGiCnAipt_eC jarlvgeibhrnaz rj. --

7 Simplif each epression. ) ) n + + ) 8v - 7v ) -n - n ) - - 7n - 8n - ) n - + 8n 7) a + a 8) -8r + r 9) + n - + 0n 0) -7 + (n + ) ) - ( + ) ) -( - ) + 7 ) (r + ) - ( - r ) ) ( + ) - ( + ) ) (n + n) + (n - n) ) (7 + + ) - ( ) 7) (8 + + ) - ( - + ) 8) (8 - p + p ) + ( p - 7 p - ) l fi0um7g MKkuMt_a] LSmoVfDtFwHa_rwea JLwLlCm.P d \AClLlq YrciUg]hFtMsO TrIeCsieprrvbeHdu.H I amiahdie^ YwviJtNhO KIrnpfliunkiXteel haaleguekb^r_a_ Sj. --

8 Solve each equation. Show our work in the space provided. 9) - n = - 0) = + (-) ) = 9 + ) -0 = v ) = - - v ) n = ) -90 = ( + r) ) = ( - 8m) - 7) = ( - ) 8) 8( + 8) - = 7 9) -7( p + 7) = -8 0) 8 = -(b - 7) - b Find the slope of each line. ) ) r gt0a[7k TKTuVtsae csnozfntnwdawrzef BLuLrCM.D K uaflel] ergirgmhnt`s FrWeMsSeVrMv\eKdL.d R TMHaqdIep SweiStHhk dipncfpiln_isteee FATlTgtebbUrHat Kb. -

9 ) ) Sketch the graph of each line. ) = ) = ) = 8) = ` pm0kf7a MKUuRtSad osuojfvtjwafrees TLKLNCD.\ u \AWll_ ZrRiVgJhEtHs` Vr[eFsiejrEvKerdB.X Q IMkadd]eH JwLigtJhr tinnkfvignqictney EAKlXgiegburtaa HB. --

10 9) = - 70) = ) - = 7) + = R m_0va7m JKNuht\ar _Seo_fmtOwjaYrleb LLuLiCk.i F ranl]lf CrmiKgUhAtsL wrwesskeqr\vne[dr.h X ]MsardMe_ QwpiAtKhJ cinnwfjignbiktpeh ^AzlWgmeUbErYa` [z. --

11 7) 8 - = 7) + = ) 7 + = 7) - = Simplif. Your answer should contain onl positive eponents. 77) ( ( ) 78) ) ( 79) ) 80) ( ) H NJ0lO7D KBuLtzal is_ofqtawvaarhel CLVLLC^.B f zael`lo wrqi[gmhztvsa [rreeseprpvcepdq.] C NMNakdPeP ZwTiLteh IICnsfuitnrictreK RAMlSgWeSbkr]aE lc. -7-

12 ( 8) ) 8) ( ) 8) ( n ) n n 8) r r r 8) 8) ( 87) ) 88) ( n ) n n t kl0tp7j KtuGthaz ksvolf[trwcamr`en al]lccm.a c tazlelx `rfiugfhitmsa BrBemsXearHvjeHd_.s B MMIaedieW SwSiHtGhD PIsnLfoinndiZtieq maplsg\esbxrpaz dk. -8-

13 Solve each sstem b graphing. Graph both lines on the coordinate plane. Identif the point of intersection as an ordered pair. 89) + = -9 - = - 90) - 7 = - 7 = ) + = = 0 9) - = -0 + = b Ma0S`7s MKEuptKa] RSsoYfZt_wFarrSe KLcL[Ci.K U aa\lql TrHitgShgtPso QrjesBe]rRv^ejdh.Z b YMEa_dAeh kweiqtkh^ WIAn]fPibnListseW KArlYgveHbGrGaS jl. -9-

14 9) = = ) = 7-9 = ) = - 9) = + 9 = = i V0ie7A nkru^twae ISkoNfetOwOalrReH clclrch.j W PARlol_ Grfiggnhetzsa graeus]eprhv_ejdt.c E QMGaBdLe MwCidtrhX hihnkfribniihteem YAwlnguedblrZaw KE. 0-

15 Problem-Based Task # Rafting and Hiking Trip: To celebrate graduation, ou and of our closest friends have decided to take a -da white-water rafting and hiking trip. During our -da trip, das are spent rafting. If the rafting trip covers a distance of 0 miles and ou are epected to raft 8 hours each da, how man miles must ou raft each hour? For the hiking portion of our trip, ou and our friends carr the same amount of equipment, which works out to pounds of equipment each. For etra mone, ou can hire an assistant, who will carr 0 pounds of equipment. Each assistant charges a flat fee of $0 and an additional $ for each mile. The total amount ou would have to pa the assistant is $. How man miles will our group be hiking? Is it worth hiring two assistants to help ou and our friends carr the equipment? Here are some questions to help guide ou:. If the rafting trip covers a distance of 0 miles and ou are epected to raft 8 hours each da, how man miles must ou raft each hour?. What is the ratio of miles to das?. What is the ratio ou are looking for?. What is the ratio of das to hours?. How do ou convert the original ratio of miles to das into miles per hour?. How man miles will our group be hiking? 7. What is the equation of the cost of hiring an assistant? 8. What is the solution to this equation? 9. Is it worth hiring two assistants to help ou and our friends carr the equipment? (This is our personal opinion.) 0. How much weight will each of ou carr without assistants?. How much weight will each of ou carr with two assistants?. What is the difference in the cost per da?. Are ou willing to pa more mone to have someone carr our equipment? Wh? (This is our personal opinion.)

16 PLACE VALUE REVIEW You MUST know place value. If ou have trouble with this, go to the web site above to practice.