Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

How do you solve a rational expression?

Back

To solve a rational expression, find a common denominator, combine the fractions, and then solve for the variable.

Front

What are extraneous solutions?

Back

Extraneous solutions are solutions that emerge from the algebraic process but do not satisfy the original equation.

Front

How can you check for extraneous solutions?

Back

Substitute the solution back into the original equation to see if it holds true.

Front

What is the first step in solving a rational equation?

Back

The first step is to identify and exclude any values that make the denominator zero.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by factoring and canceling common factors.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator allows you to combine multiple rational expressions into a single expression.

Front

What is the process of factoring in rational expressions?

Back

Factoring involves rewriting a polynomial as a product of its factors to simplify the expression.

Front

What is the difference between a rational expression and a rational number?

Back

A rational expression is a fraction of polynomials, while a rational number is a fraction of integers.

Front

How do you identify restrictions in rational expressions?

Back

Restrictions are identified by setting the denominator equal to zero and solving for the variable.