Understanding Rational Expressions

What is the first step in adding fractions with unlike denominators?

• Subtract the numerators

• Find a common denominator

• Add the denominators

• Multiply the numerators

Why is it important to multiply both the numerator and denominator by the same number?

• To make the fraction improper

• To change the value of the fraction

• To simplify the fraction

• To keep the fraction equivalent

When simplifying fractions, what should you do if both the numerator and denominator are divisible by the same number?

• Divide both by the common factor

• Multiply the numbers

• Add the numbers

• Subtract the numbers

In rational expressions, what is a common strategy when denominators do not match?

• Add the numerators directly

• Multiply the denominators by each other

• Ignore the denominators

• Subtract the numerators

What is the purpose of factoring in rational expressions?

• To add more variables

• To make the expression more complex

• To find a common denominator

• To simplify the expression

What should you be cautious of when dealing with subtraction in rational expressions?

• Multiplying the numerators

• Adding the denominators

• Ignoring the variables

• Forgetting to distribute the negative sign

What is a domain restriction in rational expressions?

• A method to simplify expressions

• A condition that prevents division by zero

• A way to add variables

• A rule that limits the numerator

How do you determine the domain restrictions for a rational expression?

• By setting the denominator equal to zero

• By adding the numerators

• By finding the factors of the numerator

• By setting the numerator equal to zero

What happens if a factor in the denominator equals zero?

• The expression doubles

• The expression becomes zero

• The expression simplifies

• The expression becomes undefined

Why might some teachers not ask for domain restrictions?

• They are always the same

• They are too complex

• They are only relevant in advanced classes

• They are not important