Rational Expressions and Operations

The video tutorial from MooMooMath explains how to add and subtract rational expressions. It begins by defining a rational expression as a fraction with variables in the denominator. The tutorial then covers the process of adding rational expressions, emphasizing the need for a common denominator and combining like terms. It provides a detailed example of adding two rational expressions. The video also explains how to subtract rational expressions, highlighting the importance of careful handling of negative signs and rewriting subtraction as addition. The tutorial concludes with an example of subtracting rational expressions, ensuring the viewer understands the process.

What is a rational expression?

• A fraction with a variable in the numerator

• A fraction with a variable in the denominator

• A fraction with no variables

• A fraction with variables in both numerator and denominator

Why is a common denominator necessary when adding fractions?

• To change the numerators

• To make the fractions larger

• To ensure the fractions are equivalent

• To simplify the numerators

What is the result of adding x + 3x?

• 3x

• 6x

• x

• 4x

When subtracting rational expressions, what must you be careful about?

• Subtracting the numerators directly

• Changing subtraction to addition

• Multiplying the numerators

• Adding the denominators

What happens when you subtract a negative number?

• It becomes zero

• It becomes more negative

• It becomes positive

• It remains the same

What is the simplified form of 4x plus negative 2x?

• 4x

• 0

• 2x

• 6x

What is the common denominator in the final example?

• x squared plus 9

• x squared minus 9

• 3x plus 4

• x plus 3

What is the final answer in the last example?

• 2x over x squared minus 9

• 2x over x squared plus 9

• 4x over x squared plus 9

• 4x over x squared minus 9