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Warm up 3/8/16 Solve the equation and check your solution
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8-6 Solving Rational Equations
Day 2: Adding and Subtracting in the Denominator
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Objective To solve rational equations
To use rational equations to solve problems
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Ex 1) Two Fractions Equal to Each Other: Cross Multiply
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EX 2) T.O.O
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EX 3) T.O.O
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EX 4) LCD: (k+1)(k-2) (k+1)(k-2) (k+1)(k-2) Restrictions: k ≠ -1,2
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Before LCD, FACTOR! LCD (z – 3)(z + 3) Restrictions z ≠ -3, 3 (z – 3)(z + 3) (z – 3)(z + 3) (z – 3)(z + 3) Quadratic: Set = 0 and factor!
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Continued Remember restrictions z ≠ 3 and z ≠ -3 Answer: z = -1/4
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Work problems They always use the formula Same One Job Individual
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EX 7) Working together, Chad and Cody can clean an attic in 4.8 hours. Had Cody done it alone it would have taken him 8 hours. How long would it take Chad to do the same job alone.
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Working together, Scott and Natalie can mop a warehouse in 5. 24 hours
Working together, Scott and Natalie can mop a warehouse in 5.24 hours. Had Natalie worked alone it would have taken her 10 hours. How long would it have taken Scott if he had worked alone? EX 8)
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EX 9) Emily can pick up forty bushels of apples in 11 hours. Brenda can pick the same amount in 15 hours. If they worked together how long would it take them?
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Homework Page 546 #20,25-29,43,57 And Work Worksheet:
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T.O.O - Solve
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