Adding and Subtracting Rational Expressions Explained

This video tutorial covers the basics of adding and subtracting rational expressions, focusing on ensuring common denominators and understanding domain restrictions. It also delves into factoring numerators and finding the least common multiple of denominators, providing a comprehensive guide to simplifying and solving rational expressions.

What is required to add or subtract rational expressions?

• Expressions must have the same numerator.

• Expressions must have different denominators.

• There are no specific requirements.

• Expressions must have the same denominator.

What happens if the denominator of a rational expression equals zero?

• The expression becomes a whole number.

• The expression can be simplified further.

• The expression equals zero.

• The expression is undefined.

How do you find the sum of rational expressions with the same denominator?

• Multiply the numerators.

• Subtract the numerators.

• Combine like terms in the numerator.

• Divide the numerators.

What is a domain restriction in the context of rational expressions?

• A limitation on the possible values of variables to prevent division by zero.

• A condition where the numerator must be greater than the denominator.

• A limitation on the possible values of denominators.

• A rule that restricts the operation of addition only.

When combining like terms in a rational expression, what is the result of -2x + 3x?

• 5x

• -5x

• 1x

• x^2

What is the least common multiple (LCM) of x^2 - 25?

• x^2 - 25

• x + 5, x - 5

• (x + 5)(x - 5)

• x^2 + 25

What is the correct factorization of x^2 - 25?

• (x - 5)(x - 5)

• (x + 5)(x + 5)

• x^2 - 25 cannot be factored

• (x + 5)(x - 5)

What are the factors of -40 that add up to +3?

• -5 and +8

• +5 and -8

• +4 and -10

• -4 and +10

What is the LCM of denominators 3x and (x - 2)?

• 3x^2 - 6

• 3x - (x - 2)

• 3x + (x - 2)

• 3x(x - 2)

What is the domain restriction for the expression 1/(x + 1)?

• x cannot equal 0

• There are no domain restrictions

• x cannot equal 1

• x cannot equal -1