11/15 Operations with Rational Expressions

Front

What is a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, find a common denominator for the fractions in the numerator and denominator, combine them, and then simplify the resulting expression.

Tags

CCSS.6.EE.A.2A

Front

What is the first step in adding or subtracting rational expressions?

Back

The first step is to find a common denominator for the rational expressions.

Tags

CCSS.HSA.APR.D.7

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler 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 difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator, while an improper rational expression has a degree of the numerator greater than or equal to the degree of the denominator.

Tags

CCSS.HSA.APR.D.6

Front

What is the process for dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is a common mistake when working with rational expressions?

Back

A common mistake is to forget to factor and cancel common terms before simplifying.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

To find the LCD, factor each denominator and take the highest power of each factor that appears.

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; they must be excluded from the domain of the expression.