By Julie King, Peter Rasmussen

Too many scholars finish their examine of arithmetic prior to ever taking an algebra direction. Others try and examine algebra, yet are unprepared and can't sustain. Key to Algebra was once constructed with the assumption that any one can examine simple algebra if the topic is gifted in a pleasant, non-threatening demeanour and anyone is on the market to assist while wanted. a few academics locate that their scholars gain via operating via those books earlier than enrolling in a customary algebra course--thus drastically bettering their probabilities of luck. Others use Key to Algebra because the simple textual content for an individualized algebra path, whereas nonetheless others use it as a complement to their average hardbound textual content. permit scholars to paintings at their very own speed. the foremost to Algebra books are casual and self-directing. booklet five covers Rational Numbers.Format: PaperbackPublisher: Key Curriculum Press

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**Example text**

Othershave365days. D(1980)= D(1971)= D(1776)= D(1950)= D(1900)= D(2000)= @1990by Key Curicutum proioci. lnc. Do not duplicate wilhout p€fmissbn. 31 a functionin words,we oftendefineit by givingan algebraic lnsteadof describing torthe nirmberwhichis pairedup withr. Youfinishthisexample: expression The"f" function:flr) is one morethan3 timesx. flx) = 3r + 1 f ( 5 )= 3 ( 5 ) * | ffn=3fA +l='6+l =-$ f ( - B=) Findthe numbersaskedtor by expression. Eachfunctionbelowis definedby an algebraic in the exPression.

Tracy,pul this through lfte rOrccterllun'nachine. nr , a zodot ( \i 5 ' As you cansee,the outputof a "greaterthan"machinecan'tbe predicted. Allwe knowis thatit willputouta numbergreaterthanthe numberwhichis putin. Hereare somepossibilities: yy5r/ \5/ \r5r/ Greaterthan Machine Greater fhon lvlochine Grcolcr fhan Mochine G ,e\ G ( 5 )= 6 G 0 c ( 5 )= 220 G(5) ,94 G ( 5 )= 33,041 G(5) \r5,/ Greaterfhon Machine G G ( 5 )= 1 0 2 /tl\ t02 somekindsof relationmachines arecompletely predictable. \,3t/ \11/ Doubfinq Mochini D 1,5/ Equoliiy Machini E t't, D(3)= 6 Addinq 3 llachtire 'i3 E ( 1 3=) 1 3 T T(5)= 3 Thesecompletelypredictabre relationsare calledfunctions.

Do not duplicats without p€rmjssion. 29 of functions. 1r,/ -). I z- A(-7\= l-71=J |- s . sI 5 . :+, P(0)= "theoppositeof r. lnc Do not duplicat€wilhout permission. lt costs2SA1o maila letterweighing oneounceor less. Foreachadditional ounceor partof an ounceyoupay zoemore. 7)= P(2)= o(:)= P(7)= P(3)= . 9)= The "feet-to-inches" function:I(x) is the numberof inchesin r feet. Thereare 12 inchesin onefoot,so I(1) = 12. I(2) = (5) = (3) = 1(9)= I(4) = 1(15)= , (i)= ' ('i)= r(*)= The"salestax"function;S(r) is thesalestaxona taxablepurchase ofr dolars.