Simplify the expression $$\frac{1}{n-7}$$ .

The simplified expression is $$\frac{1}{n-7}$$ .

Simplify the expression $$\frac{n-6}{n-7}$$ .

The simplified expression is $$\frac{n-6}{n-7}$$ .

What is the simplified form of $$\frac{x+9}{x-9}$$ ?

The simplified expression is $$\frac{1}{(x-9)}$$ .

What is the result of dividing $$\frac{x+10}{6x+60}$$ ?

The result is $$\frac{1}{6}$$ .

What is the GCF of the expression $$x^2 - 9$$ ?

The GCF is $$x - 3$$ and $$x + 3$$ (Difference of Squares).

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

A rational expression is undefined when its denominator equals zero.

How do you find the vertical asymptotes of a rational function?

Vertical asymptotes occur at the values of x that make the denominator zero.

What is the process for simplifying a rational expression?

Factor the numerator and denominator, then cancel common factors.

What is the result of multiplying $$\frac{a}{b}$$ and $$\frac{c}{d}$$ ?

The result is $$\frac{ac}{bd}$$ .

What is the result of adding $$\frac{a}{b}$$ and $$\frac{c}{d}$$ ?

The result is $$\frac{ad + bc}{bd}$$ .

What is the difference between a proper and improper fraction?

A proper fraction has a numerator smaller than the denominator; an improper fraction has a numerator larger than or equal to the denominator.

What is the first step in dividing rational expressions?

The first step is to multiply by the reciprocal of the divisor.

What is the significance of the GCF in simplifying rational expressions?

The GCF helps to reduce the expression to its simplest form by canceling common factors.

Advanced Algebra - Rational Expressions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What values for x make the expression undefined?

Back

The expression is undefined for x = 8 and x = -10.

2.

FLASHCARD QUESTION

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Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Define a rational expression.

Back

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

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