Adding and Subtracting 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 add rational expressions with the same denominator?

Back

To add rational expressions with the same denominator, combine the numerators and keep the denominator the same.

Front

How do you subtract rational expressions with the same denominator?

Back

To subtract rational expressions with the same denominator, subtract the numerators and keep the denominator the same.

Front

What is the first step in adding rational expressions with different denominators?

Back

The first step is to find a common denominator.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

What happens if you try to add or subtract rational expressions with different denominators?

Back

You cannot directly add or subtract them; you must first find a common denominator.

Front

What is the result of simplifying the expression 6x / 20xy?

Back

The result is 3 / 10y.

Front

How do you solve for x in the equation 2/x + 3/x = 5?

Back

Combine the fractions to get (2 + 3)/x = 5, then solve for x.

Front

What is the result of the expression (x + 3)/(x + 2) when x = 1?

Back

The result is 4/3.