Warm up 3/8/16 Solve the equation and check your solution.

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Presentation transcript:

Warm up 3/8/16 Solve the equation and check your solution

8-6 Solving Rational Equations Day 2: Adding and Subtracting in the Denominator

Objective To solve rational equations To use rational equations to solve problems

Ex 1) Two Fractions Equal to Each Other: Cross Multiply

EX 2) T.O.O

EX 3) T.O.O

EX 4) LCD: (k+1)(k-2) (k+1)(k-2) (k+1)(k-2) Restrictions: k ≠ -1,2

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!

Continued Remember restrictions z ≠ 3 and z ≠ -3 Answer: z = -1/4

Work problems They always use the formula Same One Job Individual

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.

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)

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?

Homework Page 546 #20,25-29,43,57 And Work Worksheet:

T.O.O - Solve