Adding and Subtracting Rational Expressions with Unlike Denominators

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

• Multiply the denominators.

• Factor the denominators.

• Combine the fractions directly.

• Identify the numerators.

Why do we put each numerator in parentheses?

• To identify like terms.

• To avoid confusion during operations.

• To simplify the expression.

• To factor the numerators.

What is the purpose of finding missing factors?

• To ensure the denominators are the same.

• To create unlike denominators.

• To simplify the numerators.

• To divide the fractions.

What must be done to both the numerator and denominator when adjusting fractions?

• Add the missing factors.

• Subtract the common factors.

• Multiply by the missing factors.

• Divide by the common factors.

What does achieving a common denominator allow us to do?

• Eliminate the denominator.

• Simplify the variable restrictions.

• Combine the fractions into one.

• Factor the numerator.

How do we handle the negative sign when simplifying the expression?

• Leave it outside the bracket.

• Multiply it by the denominator.

• Distribute it across the numerator.

• Ignore it.

What is the result of combining like terms in the numerator?

• A simplified denominator.

• A prime numerator.

• An unsimplified fraction.

• A factored expression.

Why can't X have a value that makes the denominator zero?

• It would make the expression undefined.

• It makes the expression easier to factor.

• It simplifies the expression.

• It would cancel out the numerator.

What are the restrictions on the variable X in the final expression?

• X cannot be 0 or 1.

• There are no restrictions on X.

• X cannot be 5 or -2.

• X cannot be -5 or 2.

Why is it important to keep the denominator in factored form?

• It is not important; it can be expanded.

• To make it easier to combine like terms.

• To identify restrictions on the variable.

• To simplify the expression further.