Unit 6 Add/Subtract Rational Expressions Pre-Req

Front

What is the result of multiplying (x + 7)(x + 9)?

Back

Front

What is the result of the expression \(\frac{a^2-5a-14}{a-7}\div\frac{a^2-a-6}{5a^2-15a}\)?

Back

Front

Which function has restrictions on its domain due to division by zero?

Back

Front

What is the result of distributing in the expression x + 2 - (x - 4)?

Back

The result is -1 only.

Front

What number can we never divide by?

Back

We can never divide by zero.

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are polynomials.

Front

What is the process of adding rational expressions with different denominators?

Back

To add rational expressions with different denominators, find a common denominator, convert each expression, and then add the numerators.

Front

What is the formula for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, convert each expression, and then subtract the numerators.

Front

What is the importance of factoring in simplifying rational expressions?

Back

Factoring helps to cancel common factors in the numerator and denominator, simplifying the expression.

Front

What does it mean for a rational expression to be undefined?

Back

A rational expression is undefined when its denominator equals zero.