Rational Expressions

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 multiply rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is the first step in simplifying a rational expression?

Back

The first step is to factor both the numerator and the denominator.

Tags

CCSS.HSA.APR.D.6

Front

How do you divide rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

Front

What is the formula for adding rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each expression, and then combine the numerators.

Tags

CCSS.HSA.APR.D.7

Front

What is the formula for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, rewrite each expression, and then subtract the numerators.

Tags

CCSS.HSA.APR.D.7

Front

What is a common mistake when working with rational expressions?

Back

A common mistake is to cancel terms that are not factors of the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

The LCD is found by taking the least common multiple of the denominators.

Tags

CCSS.HSA.APR.D.7

Front

What is the significance of restrictions in rational expressions?

Back

Restrictions are values that make the denominator zero and must be excluded from the domain.