03-21 Solve Rational

Front

What is a rational expression?

Back

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

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means to reduce it to its simplest form by factoring and canceling common factors.

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

How do you find the least common denominator (LCD) of rational expressions?

Back

The least common denominator is found by determining the least common multiple of the denominators of the rational expressions.

Front

What is the process for adding rational expressions?

Back

To add rational expressions, first find a common denominator, then combine the numerators and simplify.

Front

What is the process for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, subtract the numerators, and simplify.

Front

How do you multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify.

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and simplify.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

Front

What is the importance of checking for extraneous solutions?

Back

Checking for extraneous solutions is important because some solutions may not satisfy the original equation due to restrictions.