Lesson 8-6: Solving Rational Equations and Inequalities.

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Solving Rational Equations

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Lesson 8-6: Solving Rational Equations and Inequalities

Let’s review some old skills How do you find the LCM of two monomials – 8x 2 y 3 and 18x 5 * Why do we find LCM’s with rational expressions?

Old Skills Cont… What is it called when two fractions are equal to each other? What process do we use to solve a problem like this?

To solve a rational equation: 1. Find the common denominator 2. Multiply both sides of the equation by the LCD 3. Solve for x 4. Check your answer

Examples Solve

Let’s put those old skills to new use… Solve.

Solve. Check your solution.

Examples Solve

Bill’s garden hose can fill the pool in 12 hours. His neighbor has a hose that can fill the pool in 15 hours. How long will it take to fill the pool using both hoses?

Joe can complete his yard work in 3 hours. If his son helps it will only take 2 hours working together. How long would the yard work take if his son was working alone?

Lesson 8-6: Day #2 Rational Inequalities

Solving Rational Inequalities Divide a numberline into intervals using answers from steps 1 and 2 to create intervals Test a value in each interval to determine which values satisfy the inequality

Examples Solve

Examples Solve