Solving Rational Expressions

Front

What is a rational expression?

Back

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

Front

How do you find a common denominator for rational expressions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators.

Front

What is the first step in solving an equation with rational expressions?

Back

The first step is to find a common denominator and combine the fractions.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

Back

Combine the fractions on the left side, find a common denominator, and solve for x.

Front

What is the significance of factoring in solving rational expressions?

Back

Factoring helps to simplify expressions and find common factors that can be canceled.

Front

Back

To solve, find a common denominator and combine the fractions.

Front

What does it mean if a rational expression is undefined?

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A rational expression is undefined when its denominator equals zero.

Front

How do you check your solution for a rational equation?

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

Front

Back

Combine the fractions, find a common denominator, and solve for x.