NOTES 11.5 ADD AND SUBTRACT RATIONAL EXPRESSIONS IDENTIFY VARIABLE RESTRICTIONS.

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Presentation transcript:

NOTES 11.5 ADD AND SUBTRACT RATIONAL EXPRESSIONS IDENTIFY VARIABLE RESTRICTIONS

Add: Get common denominators and rename numerators Multiply numerators and combine like terms. LCD = xy 2

Add: Factor the denominator if possible

Add: Factor the denominator if possible Multiply numerators and combine like terms.

Simplify: Simplify Complex Fractions

FORMULAS FOR NEXT SLIDE: Combined mpg =

A WOMAN DRIVES AN SUV THAT GETS 10MPG. HER HUSBAND DRIVES A HYBRID THAT GETS 60MPG. EVERY WEEK, THEY TRAVEL THE SAME NUMBER OF MILES. THEY WANT TO IMPROVE THEIR COMBINED MPG AND HAVE 2 OPTIONS. Option 1: Tune the SUV and increase its mileage by 1mpg and keep the hybrid as it is. Option 2: Buy a new hybrid that gets 80mpg and keep the SUV as it is. Option 1 Option 2 Tuned SUV: 11mpg, Hybrid: 60mpg SUV: 10mpg, New Hybrid: 80mpg

HW: P , # 13-22, 27, 29, 30B, 31-35