Rational Expressions Review

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

What does it mean to simplify a rational expression?

Back

To simplify a rational expression means to reduce it to its lowest terms by canceling common factors in the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

Front

What are excluded values in rational expressions?

Back

Excluded values are values of the variable that make the denominator zero, which are not allowed in rational expressions.

Front

How do you find excluded values for the expression (x-9)/(x+9)?

Back

Set the denominator (x+9) equal to zero and solve for x. The excluded value is x = -9.

Tags

CCSS.HSF-IF.C.7D

Front

What is the result of simplifying (x-9)/(x+9)?

Back

The simplified form is 1/(x+9) when x ≠ -9.

Tags

CCSS.HSA.APR.D.6

Front

How do you multiply rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is the result of multiplying (n-10)/(8) and (n+7)/(56)?

Back

The result is (n-10)(n+7)/448, which simplifies to (n-10)/8.

Tags

CCSS.HSA.APR.D.7

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 the result of dividing (x^2-1)/(x+1) by (x-1)/(x^2+1)?

Back

The result is (x^2-1)(x^2+1)/((x+1)(x-1)), which simplifies to (x+1)(x-1).

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to state the excluded values when simplifying?

Back

It means to identify and list any values that make the denominator zero in the simplified expression.

Tags

CCSS.6.EE.A.2C