Solving Rational Equations - Proportions

Front

What is a rational equation?

Back

A rational equation is an equation that involves at least one fraction whose numerator and/or denominator is a polynomial.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a rational equation?

Back

To solve a rational equation, find a common denominator, eliminate the fractions, and solve the resulting polynomial equation.

Front

Back

Front

What does it mean to cross-multiply?

Back

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

Front

Back

x = 6.

Front

Back

n = -3.25.

Front

How do you check if your solution to a rational equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that does not satisfy the original equation after substitution.

Front

Back

k = -36.