Master Add and Subtract Rational Expressions

The video tutorial explains how to add and subtract rational expressions, similar to handling fractions. It covers finding the least common denominator (LCD) and provides examples with both common and different denominators. The tutorial also addresses complex expressions and factoring, emphasizing the importance of simplification.

What is the first step in adding rational expressions?

• Find the least common multiple

• Add the numerators directly

• Ensure common denominators

• Subtract the denominators

Why is finding the least common denominator important?

• It simplifies the numerators

• It ensures the expressions have a common base

• It eliminates the need for factoring

• It allows for direct addition of fractions

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

• Multiply the denominators

• Add the numerators and keep the denominator

• Divide the numerators

• Subtract the numerators

In the expression 15 + 5 / 4X, what is the simplified form?

• 10 / 2X

• 15 / 4X

• 5 / X

• 20 / 4X

How do you determine the LCD for expressions with different denominators?

• Multiply the numerators

• Find the smallest common multiple of the denominators

• Add the denominators

• Subtract the denominators

What is a common mistake students make when dealing with rational expressions?

• Multiplying the denominators

• Not simplifying the final expression

• Ignoring the need for common denominators

• Forgetting to add numerators

What should you do if the numerators are not like terms?

• Combine them anyway

• Leave them as they are

• Multiply them

• Subtract them

How do you handle expressions with variables when finding the LCD?

• Add the variables

• Treat variables as separate terms

• Multiply the variables

• Ignore the variables

What is the LCD of 5 and 5X?

• 10

• 5X

• 5

• X

In advanced examples, why is factoring important?

• It reduces the number of terms

• It allows for direct addition of expressions

• It eliminates the need for common denominators

• It simplifies the process of finding the LCD