Adding and Simplifying Rational Expressions

The video tutorial explains how to add and subtract rational expressions, similar to handling fractions. It emphasizes the importance of finding a common denominator, known as the least common denominator (LCD), and provides examples of both simple and complex expressions. The tutorial also covers factoring and simplifying expressions, offering strategies for dealing with different denominators and complex terms.

Why is it important to have common denominators when adding or subtracting rational expressions?

• To correctly combine the fractions

• To make the denominators easier to work with

• To simplify the expressions

• To ensure the numerators are the same

What is the result of adding 1/4 and 1/4?

• 1/2

• 2/8

• 2/4

• 1/8

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

• Divide them

• Add them

• Subtract them

• Multiply them

How do you determine the least common denominator (LCD) for rational expressions with different denominators?

• Find the smallest number that both denominators divide into

• Multiply the denominators together

• Subtract the smaller denominator from the larger one

• Add the denominators together

What is the LCD of 5x and 6x?

• 11x

• 30x

• 6x

• 5x

In the expression 15 + 5 over 4x, what is the simplified form?

• 5/x

• 20/4x

• 15/4x

• 4/20x

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

• Combine them anyway

• Divide them

• Multiply them

• Leave them as they are

When dealing with expressions like x + 6 and x + 4, what should be included in the LCD?

• Neither

• Only x + 6

• Only x + 4

• Both x + 6 and x + 4

What is the simplified form of the expression 3x + 18 - x - 4?

• 2x + 22

• 2x + 14

• 4x + 14

• 4x + 22

What is the LCD of x^2 - 4 and x - 2?

• x^2 - 4 and x - 2

• x - 2

• x^2 - 4

• x + 2