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SOLVING RATIONAL EQUATIONS Lesson 48

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What are rational equations?

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What do you do…

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What do you do… Once youve cross multiplied, distribute any terms an solve for the missing variable. Ex: 2(x) = 3(x + 2) 2x = 3x + 6 -3x -x = 6 x = -6

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What else could you do? If you need to add or subtract rational expressions to solve the equation, FIND A COMMON DENOMINATOR FOR ALL THE FRACTIONS. Once all the fractions have a common denominator, you can REMOVE THE DENOMINATORS AND MAKE AN EQUATION WITH JUST THE NUMERATORS.

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What else could you do?

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What else could you do? Ex: 1(x + 1) + 3x = 2(x + 1) x + 1 + 3x = 2x + 2 4x + 1 = 2x + 2 2x + 1 = 2 2x = 1 x = ½

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Practice a few

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Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)

Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)

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