Understanding Rational Expressions Simplification

What is a rational expression?

• A polynomial with a non-zero coefficient

• An equation with variables on both sides

• An expression involving only integers

• A ratio of two polynomials

Why can't terms that are being added or subtracted be cancelled in rational expressions?

• It simplifies the expression too much

• It does not affect the expression

• It changes the meaning of the expression

• It results in undefined terms

How do you simplify a rational expression?

• By subtracting unlike terms

• By adding common factors

• By multiplying the numerator and denominator

• By cancelling common factors

What is the result of factoring x^2 - 1?

• (x + 1)(x - 1)

• x(x - 1)

• (x + 1)^2

• (x - 1)^2

What makes a rational expression undefined?

• A variable in the denominator

• A constant in the numerator

• Zero in the denominator

• Zero in the numerator

Which values make the expression 2x/(x^2 - 1) undefined?

• x = 1, -1

• x = 0

• x = 2, -2

• x = 1, 0

What is the simplified form of the expression 3y/(y^2 - 9) for y not equal to 3, -3?

• 3/(y + 3)

• 3/y

• 3/(y - 3)

• 3y/(y + 3)(y - 3)

How can coefficients be simplified in a rational expression?

• By adding them

• By dividing them

• By multiplying them

• By subtracting them

What does GCF stand for in the context of factoring expressions?

• General Coefficient Formula

• General Common Factor

• Greatest Common Factor

• Greatest Coefficient Function

In the expression x(y - 3)/-x^2(y - 3), what happens to the terms (y - 3)?

• They are multiplied

• They are added

• They are undefined

• They are cancelled