Quote of the Day Yes, we have to divide up our time like that, between our politics and our equations. But to me our equations are far more important,

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Quote of the Day Yes, we have to divide up our time like that, between our politics and our equations. But to me our equations are far more important, for politics are only a matter of present concern. A mathematical equation stands forever. -Albert Einstein

Simplify Rational Expressions Section 12.4

Objectives: Find excluded values Simplify rational expressions

Key Vocabulary: Rational expression Excluded value Simplest form of a rational expression

Example 1: Find the excluded values, if any, of the expression. .

#1: Find the excluded values, if any, of the expression.

#2: Find the excluded values, if any, of the expression.

#3: Find the excluded values, if any, of the expression.

#4: Find the excluded values, if any, of the expression.

Simplest Form

Example 2: Find the excluded values, if any, of the expression. .

#5: Simplify the rational expression, if possible #5: Simplify the rational expression, if possible. State the excluded values.

#6: Simplify the rational expression, if possible #6: Simplify the rational expression, if possible. State the excluded values.

#7: Simplify the rational expression, if possible #7: Simplify the rational expression, if possible. State the excluded values.

#8: Simplify the rational expression, if possible #8: Simplify the rational expression, if possible. State the excluded values.

Example 3: Simplify. State the excluded values.

Example 4: Simplify. State the excluded values.

#9: Simplify the rational expression. State the excluded values.

#10: Simplify the rational expression. State the excluded values.

#11: Simplify the rational expression. State the excluded values.

Example 5: The average cost C(in dollars per minute) for cell phone service in the United States during the period 1991-2000 can be modeled by where x is the number of years since 1991. Rewrite the model so that it has only whole number coefficients. Then simplify the model.

Partner Work Page 797 #3, 4, 9, 12, 14, 24

Homework Assignment Page 797 #6, 8, ,10, 16, 18, 20, 22, 26, 28, 30, 32, 40, 42, 44, 48, 50, 52, 54, 56, 58, 60