By Julie King, Peter Rasmussen

Too many scholars finish their examine of arithmetic ahead of ever taking an algebra direction. Others try to examine algebra, yet are unprepared and can't sustain. Key to Algebra was once built with the assumption that any one can examine uncomplicated algebra if the topic is gifted in a pleasant, non-threatening demeanour and somebody is out there to assist whilst wanted. a few academics locate that their scholars profit by way of operating via those books sooner than enrolling in a typical algebra course--thus enormously improving their possibilities of good fortune. Others use Key to Algebra because the uncomplicated textual content for an individualized algebra path, whereas nonetheless others use it as a complement to their ordinary hardbound textual content. let scholars to paintings at their very own speed. the most important to Algebra books are casual and self-directing. booklet five covers Rational Numbers.Format: PaperbackPublisher: Key Curriculum Press

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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. A functionhas onlyone possibleoutputfor eachinput.

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. 2- I = -13 h(-t+ )= Jf+) h ( 7) = {7)=3nl-l= = h(5)= 9(5) =(x*1ll" Lt p ( x )= x ' * 1(x) p ( 3= ) p (l ) = P(-10)= t(3)= 1(l)= )= q(-10 ,fd = s ( x ) =l ^ l + g s(3)= s ( - 1 0=) s(-6)= m ( x )= x - I n ( x ) =l - x 'n(8) = rn(-8) = n ( 8 )= n ( - 8 )= rn(O)= n ( 0 )= r ( x ) =l x * 6 1 r(3)= ) r ( - l O= 32 @199 by Key CurriculumProisc, lnc.

2- I = -13 h(-t+ )= Jf+) h ( 7) = {7)=3nl-l= = h(5)= 9(5) =(x*1ll" Lt p ( x )= x ' * 1(x) p ( 3= ) p (l ) = P(-10)= t(3)= 1(l)= )= q(-10 ,fd = s ( x ) =l ^ l + g s(3)= s ( - 1 0=) s(-6)= m ( x )= x - I n ( x ) =l - x 'n(8) = rn(-8) = n ( 8 )= n ( - 8 )= rn(O)= n ( 0 )= r ( x ) =l x * 6 1 r(3)= ) r ( - l O= 32 @199 by Key CurriculumProisc, lnc. Do not duplicat€withoutpsrmission. A tableis an easywayto listthe pairsof numbers thatbelongto a function. Thesecond columnliststhe valuesobtainedby substituting the numbersin the firstcolumn.

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