2­28­14.notebook
February 28, 2014
Target Statement: I can solve a raonal equaon or inequality by using algebra, a table, or a graph.
PT: Students should be able to add and subtract rational functions.
Bell Ringer:
Solve:
1) ‐6 < 8c
2) ‐2r > 15
3) X2+5x‐36=0
4) 3x2‐4=x
5) 16/5 = m/3
6) 15/g = 2.5/4
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2­28­14.notebook
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Rational equation: An equation that involves at least one rational expression.
Example 1:
Rachel finished a triathlon involving swimming, bicycling, and running in 2.5 hours. Rachel’s bicycling speed was about 6 times her swimming speed, and her running speed was about 5 miles per hour greater than her swimming speed. Find the speeds at which Rachel competed if she finished the triathlon in 2.5 hours.
Distance (mi)
Swimming
Ds= 0.5
Speed (mph)
S
Bicycling
Db= 25
6s
Running
Dr= 6
S+5
How could you solve the above using the quadratic formula?
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Example 2: Solve X = 6 (x+3) (x­1)
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Example 3: Solve: x + x = 3
(x­2) (x­3) (x2­5x+6)
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Inequalities:
Example 4:
Solve 4x < 6
(x­3)
Example 5:
Solve: (x­2) > x 2(x­3) x+3
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Guided Practice /Activity/ Independent Work/ Differentiation: Solve:
1) 2 > 3
(x­1) (x+4)
2) X + x = 3 (x‐2) (x‐3) (x2‐5x+6)
3) x/3 = 1/ (x‐2)
4) x/(x‐6) = 1/(x‐4)
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Pg. 517 ( 10­54 even) 7