Adding and Subtracting Rational Functions Explained

What must be identical in two rational expressions to directly add or subtract them?

• Denominators

• Coefficients

• Variables

• Numerators

What operation is performed on the numerators when subtracting two fractions with the same denominator?

• Subtraction

• Division

• Addition

• Multiplication

What must be true for two rational expressions to be added directly without finding the LCD?

• They must have the same variable

• They must have the same coefficient

• They must have the same numerator

• They must have the same denominator

What is the first step when the denominators of two rational expressions are different?

• Cancel out similar terms

• Multiply the denominators

• Combine the numerators

• Find the least common denominator

What must be done to a fraction when adjusting it to a new denominator?

• Multiply both the numerator and denominator by the same expression

• Multiply only the denominator

• Divide the numerator and denominator by the same expression

• Multiply only the numerator

How do you simplify the expression after finding the common denominator and combining the numerators?

• Divide by the common denominator

• Factorize the numerator

• Combine like terms

• Apply the distributive property

What indicates that a rational expression cannot be simplified further?

• The numerator is a prime number

• The expression contains multiple variables

• There are no common factors between the numerator and denominator

• The denominator is a multiple of the numerator

Why is it necessary to factor denominators fully before finding the LCD?

• To reduce the size of the denominators

• To simplify the numerators easier

• To make the expressions look simpler

• To identify all possible common factors

What happens to the terms in the denominator when finding the LCD?

• They are squared

• They are added

• They are subtracted

• They are multiplied

What is the result of simplifying a rational expression where the numerator and denominator share a common factor?

• A simpler fraction

• A more complex expression

• A whole number

• An unchanged expression