Solve Rational Equations Part 1

Front

Define a rational equation.

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

Front

What is the first step in solving a rational equation?

Back

The first step is to identify any restrictions on the variable that would make the denominator zero.

Front

Back

x = 7

Front

What does cross-multiplying mean in the context of rational equations?

Back

Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction to eliminate the fractions.

Front

Back

x = -10

Front

Back

z = -6

Front

What is a common method to solve rational equations?

Back

A common method is to find a common denominator, multiply both sides by it, and then simplify.

Front

Back

x = -1/4

Front

What should you do after finding a solution to a rational equation?

Back

Check the solution in the original equation to ensure it does not make any denominator zero.

Front

Back

W = 9