algebra i (college prep) name 12 – 7 worksheet “solving · pdf file ·...

AlgebraI(CollegePrep) Name________________________________12–7Worksheet“SolvingRationalEquations”Example#1:“SolvingRationalEquationsbyusingCrossProducts”Solve.

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3t=2(t–6)3t=2t–6t=-6CHECK

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• Somerationalequationscontainssumsordifferencesofrationalexpressions.Tosolvethese,youmustfindtheLCDofalltherationalexpressionsintheequation.

Example#2:“SolvingRationalEquationsbyusingtheLCD”Solve.

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Step#1:FindtheLCD.c=c2c=2∙cc+1=c+1

LCD=2c(c+1)

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Step#3:Simplifyandsolve.2(c+1)+(c+1)3=(2c)22c+2+3c+3=4c5c+5=4cc+5=0c=-5

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Homework:(page923,2-19)Solve.Checkyouranswer.2. !

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