AAA C&C Warm Up Add/Subtract Rational Equations

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 the common denominator of two rational expressions?

Back

To find the common denominator, factor each denominator and take the highest power of each factor present in either denominator.

Front

Back

Front

Back

Front

What is the least common multiple (LCM) of two polynomials?

Back

The LCM of two polynomials is the polynomial of the lowest degree that is a multiple of both polynomials.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the process of distributing in algebra?

Back

Distributing involves multiplying each term inside a parenthesis by a term outside the parenthesis.

Front

What is the importance of factoring in solving rational equations?

Back

Factoring helps simplify expressions and find common denominators, making it easier to solve equations.

Front

What is a common mistake when factoring polynomials?

Back

A common mistake is incorrectly identifying the factors or missing a factor altogether.

Front

How do you reduce a rational expression?

Back

To reduce a rational expression, divide both the numerator and the denominator by their greatest common factor.