AA C&C Add/Sub & Solve Rational Equations

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 find the least common denominator (LCD) of two rational expressions?

Back

To find the LCD, factor each denominator into its prime factors and take the highest power of each factor present.

Front

What is the process of adding rational expressions?

Back

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

Front

What is the difference between factoring and distributing in algebra?

Back

Factoring is breaking down an expression into simpler components, while distributing is multiplying a term across terms inside parentheses.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the significance of reducing a rational expression?

Back

Reducing a rational expression simplifies it by canceling out common factors in the numerator and denominator.

Front

How do you divide rational expressions?

Back

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

Front

What is the formula for finding the common denominator of two fractions?

Back

The common denominator is the least common multiple (LCM) of the denominators of the fractions.

Front

What is the importance of checking for extraneous solutions in rational equations?

Back

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

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to non-negative integer powers and coefficients.