11.8: Solving Rational Equations Algebra 1: May 6, 2015.

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Presentation transcript:

11.8: Solving Rational Equations Algebra 1: May 6, 2015

Warm Up Solve

Solving Rational Equations Problem Type 1: – Use Cross Products to solve. Remember to Check! Problem Type 2: Determine the LCD (Least Common Denominator) Multiply each fraction by the LCD Solve the remaining problem Check for Extraneous Solution

What is an LCD?

Find the LCD a)c) e)f)

Lets go through a few together

Your Turn

Word Problems Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours. How long would it take the two painters together to paint the house?

More Word Problems Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone?

Your Turn! A crane operator can unload a cargo ship in 45 hours. Another operator can unload the same cargo ship in 30 hours. How long will it take them to unload the ship together? Ryan can take a lawn in three hours. Haley can rake the same yard in 2.5 hours. How long will it take them if they work together?