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Presentation transcript:

Challenge Problem! Work in your groups to do this problem:

A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis

Domain Recall: The domain is the set of all x values for which an expression exists. Ex. Find the domain of the following expression.

Solve vs. Simplify! This is what we did before: SIMPLIFY This is what we’re doing now: SOLVE

Solving Rational Equations Recall how to solve the following equation…

Steps for Solving Rational Equations Step 1: Factor all denominators completely. Step 2: Determine the least common multiple. Step 3: Multiply both sides by the LCM (distribute!). Step 4: Solve the new polynomial equation using learned methods. Step 5: Check for any extraneous solutions in the original equation.

Solving Rational Equations Solve the equation.

Solving Rational Equations What if we have one a little more tricky?!

Solving Rational Equations Do with your groups and turn in! Pg 998 #42, 78, 80 Do with your groups and turn in! Pg 998 #42, 78, 80 Solve or Simplify?? a) b) c) d)

A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis Homework #6: p.998 #41, 45, 46, 77, 79, 80

Solving Absolute Value Equations What does “absolute value” mean? What is the meaning of this equation?

Steps for Solving Absolute Value Equations Step 1: Isolate absolute value on one side of the equation. Step 2: Rewrite the equation, removing the absolute value, and plus/minus of the other side of the equation. Step 3: Solve each equation for x. Step 4: Check for any extraneous solutions in the original equation.

Solving Absolute Value Equations Solve the following equation for x.

A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis Homework #6: p.998 #41, 45 – 59 odd, 77, 79