Simplifying Rational Expressions: Key Concepts and Techniques

What are rational expressions equivalent to?

• Fractions

• Equations

• Integers

• Polynomials

What is the first step in simplifying a rational expression?

• Solve the equation

• Combine like terms

• Factor completely

• Identify the variables

What does factoring out the greatest common factor (GCF) help achieve in rational expressions?

• Differentiating the expression

• Equating the expression to zero

• Simplifying the expression

• Expanding the expression

In the example with 20/25, what common factor is used to simplify the expression?

• 5

• 3

• 2

• 4

What happens to identical factors in the numerator and denominator of a rational expression?

• They remain unchanged

• They are multiplied

• They cancel each other out

• They are squared

What is a 'difference of squares' in algebra?

• A polynomial of degree 2

• A binomial of two squared terms added

• A trinomial created by squaring a binomial

• A binomial of two squared terms subtracted

How is a sum of cubes factored?

• Into three binomials

• Into two binomials

• Cannot be factored

• Into a binomial and a trinomial

What is the result of simplifying the expression (7 - B) / (B - 7)?

• 1

• -1

• 0

• B

When simplifying 7x - 21 / -21x + 63, what common factor is factored out from the numerator?

• 3

• -21

• 21

• 7

What is the final simplified form of 7x - 21 / -21x + 63?

• Cannot be simplified

• x - 3

• -1/3

• 1/3