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Do Now 5/29/09

Do Now 5/29/09. Copy HW in your planner. Text p. 797, #4-38 evens Take out HW from last night. Cumulative Test In your notebook, define and give two examples of rational numbers. Text p. 762, #1-16 all, not 2. 1) 40 3) 2 4) -1 5) (x – 5)(x + 3) 6) 2(x – 3)(x – 1) 7) (3x + 5)(3x – 5)

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Do Now 5/29/09

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  1. Do Now 5/29/09 • Copy HW in your planner. • Text p. 797, #4-38 evens • Take out HW from last night. • Cumulative Test • In your notebook, define and give two examples of rational numbers. • Text p. 762, #1-16 all, not 2

  2. 1) 40 3) 2 4) -1 5) (x – 5)(x + 3) 6) 2(x – 3)(x – 1) 7) (3x + 5)(3x – 5) 8) 3x(x + 4)(x – 4) 9) 1 1/12 10) 19/40 11) 1/3 12) 1 1/4 13) 9/4 14) 6 15) -3, 2 16) 13 HomeworkText p. 762, #1-16 all; not 2

  3. Objective • SWBAT simplify rational expressions.

  4. Section 12.4 “Simplify Rational Expressions” • A RATIONAL EXPRESSION is an expression that can be written as a ratio (fraction) of two polynomials where the denominator is not 0. • A rational expression is UNDEFINEDwhen the denominator is equal to 0. • A number that makes a rational expression undefined is called an EXCLUDED VALUE.

  5. EXAMPLE 1 Find the excluded values, if any, of the expression. Use quadratic formula to find when w = 0. Factor There are no excluded values

  6. Simplify Rational Expressions • To simplify a rational expression, you can factor the numerator and denominator and then divide out any common factors. • A rational expression is in SIMPLEST FORMif the numerator and denominator have no factors in common other than 1.

  7. EXAMPLE 2 Simplify the rational expression, if possible. State the excluded values. Factor

  8. EXAMPLE 3 Simplify the rational expression, if possible. State the excluded values. Factor Factor

  9. EXAMPLE 4 Recognize opposites Simplify the rational expression, if possible. State the excluded values. Factor Recognize opposites Multiply by -1 Rewrite (4-x) as -(x-4) Factor Recognize opposites Multiply by -1 Rewrite (z-5) as -(z+5)

  10. Classwork/Homework • Text p. 797, #4-36 multiples of 4

  11. HomeworkPractice worksheet 12.4 evens 14) 2) 4) 16) 6) 18) 8) 10) 12)

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