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Mastering Rational Expressions: Solve Equations with Confidence!

Are you ready to elevate your math skills? Join us as we explore solving and checking equations that involve rational expressions (fractions). Learn how to approach problems by multiplying both sides of the equation by the lowest common denominator (L.C.D.) to eliminate fractions. We'll guide you through the steps of distribution, simplification, and factoring while providing examples along the way. Get ready for a mathematical challenge that will sharpen your skills and boost your confidence. Let’s tackle these equations together and celebrate your success!

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Mastering Rational Expressions: Solve Equations with Confidence!

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  1. READY TO USE YOUR TALENTTODAY?… YES!! WE ARE POISED AND READY!…

  2. ME TOO! DON’T FORGET US! WE ARE GOING TO FOLLOW ALONG WITH YOU!

  3. ….TOSOLVEAND CHECKEQUATIONS CONTAININGRATIONAL EXPRESSIONS (i.e. fractions) Example: Solve and Check, Think AddingFractions --- What would you changethe denominators to? Possible answer: But WAIT! ,… Don’t Change,…simply….

  4. ..Multiplyboth sides of the equation by this lowest commondenominator(L.C.D.)in order toClear Allfractions! Distribute, Simplifies to, And, Now solve byFactoring or computerProgram.

  5. By Factoring, Then, in, Check,

  6. Checking, x = 3, in, Becomes, NOW… HOW DO YOU FEEL?.. Then, And, Therefore, CHECK!!

  7. ….IT WAS ANOTHER SLAMFOR ME! ….I NEEDED AHAND UPON THAT ONE…. THANKS! READY FOR ACHALLENGE ?….

  8. LIKE LIVING LIFE ONTHE EDGE? TRY THIS ONE…. HANG ON TIGHT!… We’ll HelpEach OtherReachtheSummit!!

  9. Remember,Think…...AddFractions.. L.C.D. is ? Multiply by, and Simplify to… Common Factor and Reverse “FLIO”yields... or, NOW CHECK

  10. in, If, Then, Simplifies to, ARE YOU PROUD OF ME MOM!? And, Then, CHECK!!

  11. YOU GO CHILD!! NO STOPPING ME NOW!!

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