How Simple Is Your Rational Expression? Examples
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1 How Siple Is Your Rtionl Epression? Eples. Rtionl epressions re lebric epressions whose nuertor nd denointor 5 re polynoils. The epression,, nd re eples of rtionl y 4 epressions or lebric frctions.. A frction indictes division. Zero cnnot be used s denointor becuse division by zero is undefined.. Therefore, ny vlue ssined to vrible tht results in denointor of zero ust be ecluded fro the doin of the vrible (it y be necessry to review fctorin.) 4. For eple, the followin would hve eclusions: 5 7, would eclude 0., would eclude y 5, would eclude nd. 5 Ephsize tht 4 becuse fctored is ( )( ). Apply the Zero Product Property to show tht or. 5. Eple: Stte the vlue(s) of the vrible tht ust be ecluded: 5 7 Eclude the vlues for which "How Siple Is Your Rtionl Epression?" 00-00www.beconlernincenter.co Rev.7.8.0
2 . Eple: Stte the vlues of the vrible tht ust be ecluded: Eclude the vlues for which 0. 0 ( 4)( ) 0 4 or - Therefore, cnnot equl 4 or. Fctor 0. Use the Zero Product Property. 4 bc 7. Recll tht to siplify n lebric frction such s, first fctor the 4bc nuertor nd denointor. Then siplify coon fctors. 4 bc 4bc 7 b c 7 b c c c Notice tht 0, b 0, nd c 0. The GCF is 4bc This se procedure cn be used to siplify rtionl epressions hvin polynoils in the nuertor nd denointor. "How Siple Is Your Rtionl Epression?" 00-00www.beconlernincenter.co Rev.7.8.0
3 8. Eple: Siplify. Stte the ecluded vlues of. 7 7 ( )( ) ( )( ) ( )( ) ( )( ) Stress tht fctors ust be reduce, not ters. The ecluded vlues of re ny vlues for which 7 0 ( )( ) 0 - or -. Therefore, cnnot equl or. y 9. Eple: Siplify. Stte the ecluded vlues of nd y. y y y ( y) ( y )( y ) ( y) ( y )( y ) or y y The ecluded vlues of nd y re ny vlues for which y 0 (y )(y ) 0 y or y - Another wy to stte the ecluded vlues is cnnot equl y or y. Therefore, y cnnot equl or. "How Siple Is Your Rtionl Epression?" 00-00www.beconlernincenter.co Rev.7.8.0
4 "How Siple Is Your Rtionl Epression?" 00-00www.beconlernincenter.co Rev How Siple Is Your Rtionl Epression? Worksheet Siplify ech rtionl epression. Stte the ecluded vlues of the vribles.. 9 y y. r r r. 4. c c c k k k Ne: Dte: Clss:
5 How Siple Is Your Rtionl Epression? Worksheet Key Siplify ech rtionl epression. Stte the ecluded vlues of the vribles.. y y 9 ( y ) ( y )( y ) ( y ) ( y )( y ) y y, -. r r r r ( r ) ( r ) r ( r ) ( r ) r r. ( ) ( ) r 0 or 4. c c c ( c ) ( c )( c ) ( c ) ( c )( c ) c c 5. 5 ( )( ) ( )( ) ( )( ) ( )( ) - or Johnny Wolfe Jy Hih School Snt Ros County
6 ( ) ( )( 4) 4( ) ( )( 4) or ( )( ) ( )( ) ( )( ) ( )( ), - 8. ( )( ) ( )( ) ( )( ) ( )( ) or ( )( ) ( )( 9) ( )( ) ( )( 9) 9 or k k k ( k )( k ) ( k )( k ) ( k )( k ) ( k )( k ) k k k - Johnny Wolfe Jy Hih School Snt Ros County
7 Student Ne: Dte: How Siple Is Your Rtionl Epression? Checklist. On question, did the student siplify the rtionl epression copletely nd. Yes (0 points). On question, did the student siplify the rtionl epression copletely nd. Yes (0 points). On question, did the student siplify the rtionl epression copletely nd. Yes (0 points) 4. On question 4, did the student siplify the rtionl epression copletely nd. Yes (0 points) 5. On question 5, did the student siplify the rtionl epression copletely nd. Yes (0 points) Johnny Wolfe Jy Hih School Snt Ros County
8 . On question, did the student siplify the rtionl epression copletely nd. Yes (0 points) 7. On question 7, did the student siplify the rtionl epression copletely nd. Yes (0 points) 8. On question 8, did the student siplify the rtionl epression copletely nd. Yes (0 points) 9. On question 9, did the student siplify the rtionl epression copletely nd. Yes (0 points) 0. On question 0, did the student siplify the rtionl epression copletely nd. Yes (0 points) e. No, student identified cluster of dt (0 points) Totl Nuber of Points Johnny Wolfe Jy Hih School Snt Ros County
9 A B C D F 80 points nd bove 0 points nd bove 40 points nd bove 0 points nd bove 9 points nd below Any score below C needs reedition! Johnny Wolfe Jy Hih School Snt Ros County
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