4

Algebra I (College Prep) Name ________________________________ 12 – 7 Worksheet “Solving Rational Equations” Example # 1: “Solving Rational Equations by using Cross Products” Solve. A. ! !!! = ! ! 3t = 2(t – 6) 3t = 2t – 6 t = -6 CHECK B. ! ! = ! !!! C. ! !!! = ! ! D. !" !!! = ! !

Algebra I (College Prep) Name 12 – 7 Worksheet “Solving · PDF file · 2016-05-20Microsoft Word - 12-7 Created Date: 5/17/2016 5:37:47 PM

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Page 1: Algebra I (College Prep) Name 12 – 7 Worksheet “Solving · PDF file · 2016-05-20Microsoft Word - 12-7 Created Date: 5/17/2016 5:37:47 PM

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

A. !!!!

= !!

3t=2(t–6)3t=2t–6t=-6CHECK

B. !!= !

!!!

C. !!!!

= !!

D. !"!!!

= ! !

Page 2: Algebra I (College Prep) Name 12 – 7 Worksheet “Solving · PDF file · 2016-05-20Microsoft Word - 12-7 Created Date: 5/17/2016 5:37:47 PM

• Somerationalequationscontainssumsordifferencesofrationalexpressions.Tosolvethese,youmustfindtheLCDofalltherationalexpressionsintheequation.

Example#2:“SolvingRationalEquationsbyusingtheLCD”Solve.

A. !!+ !

!!= !

!!!

Step#1:FindtheLCD.c=c2c=2∙cc+1=c+1

LCD=2c(c+1)

Step#2:MultiplybothsidesbytheLCD2c(c+1) !

!+2c(c+1) !

!!=2c(c+1)( !

!!!)

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

B. !!!!

+ !!!!

= !!

Page 3: Algebra I (College Prep) Name 12 – 7 Worksheet “Solving · PDF file · 2016-05-20Microsoft Word - 12-7 Created Date: 5/17/2016 5:37:47 PM

C. !!!!

− !"!= !

!!

D. !!!!

= !!+1

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

!!!= !

!

3. !

!!!= !

!

4. !"

!!!""= !!"

!!

5.!

!= !

!!!

6. !

!!!= !

!!!

7. !

!!!!= 3

Page 4: Algebra I (College Prep) Name 12 – 7 Worksheet “Solving · PDF file · 2016-05-20Microsoft Word - 12-7 Created Date: 5/17/2016 5:37:47 PM

8.!!− !

!=!

!

9.!

!+ !

!=!

!

10. !

!!!= !

!+ !

!

11.!

!= !

!!!-!!

12. !

!!!= !

!+ !

!!

13.!

!+ !

!!!=!!

!!

14. !

!!!= !

!!!

15.!

!− !

!=!

!

16.!

!= !

!!–1

17. !

!!!= 𝑥 − 2

18. !

!!= !!

!+1

19.!

!= !!

!!+2

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