Rational Expressions and Operations

This video tutorial covers the addition and subtraction of rational expressions. It begins with warm-up problems to refresh factoring skills, then moves on to adding and subtracting rational expressions with common denominators. The lesson progresses to handling expressions with different denominators, emphasizing the importance of finding a common denominator. The tutorial concludes with a review of key concepts and a discussion on excluded values, ensuring students understand the conditions under which denominators cannot be zero.

What is the first step in simplifying a rational expression?

• Subtract the numerators

• Multiply the denominators

• Factor the terms

• Add the numerators

In the keep-change-flip method, what do you do after flipping the second fraction?

• Divide the fractions

• Add the fractions

• Multiply the fractions

• Subtract the fractions

When adding rational expressions with common denominators, what should you do with the numerators?

• Subtract them

• Divide them

• Add them

• Multiply them

What is the common denominator for the expressions 5x^2 and 15x^3?

• 5x^2

• 15x^3

• 15x^2

• 5x^3

How do you handle subtraction in rational expressions with different denominators?

• Add the numerators directly

• Subtract the denominators

• Find a common denominator first

• Multiply the denominators

What is the first step in finding a common denominator for rational expressions with binomials?

• Subtract the binomials

• Add the binomials

• Multiply the binomials

• Factor each binomial

What is an excluded value in a rational expression?

• A value that makes the numerator zero

• A value that makes the denominator zero

• A value that makes the expression undefined

• A value that makes the expression equal to one

What should you do if the numerator of a rational expression can be factored?

• Add it to the denominator

• Multiply it by the denominator

• Factor it and check for cancellations

• Ignore it

How do you simplify the expression 2/(x-3) - 8/(3-x)?

• Subtract the numerators directly

• Multiply the denominators

• Add the numerators directly

• Factor out a negative one from the second term

What is the result of subtracting 4x from 3x?

• -x

• 0

• 7x

• x