How do you find the common denominator for $$z$$ and $$z+2$$ ?

The common denominator is $$z(z+2)$$ .

What is the result of $$\frac{5}{x} - \frac{4}{x}$$ ?

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

How do you simplify $$\frac{a}{b} + \frac{c}{d}$$ ?

Find a common denominator, which is $$bd$$ , then rewrite as $$\frac{ad + bc}{bd}$$ .

What is the first step in simplifying a complex rational expression?

Factor the numerator and the denominator where possible.

What does it mean to 'cancel' in rational expressions?

To 'cancel' means to remove common factors from the numerator and denominator.

What is the result of $$\frac{2x^2}{4x}$$ ?

The result is $$\frac{x}{2}$$ after simplifying.

How do you add $$\frac{1}{a} + \frac{1}{b}$$ ?

The sum is $$\frac{b + a}{ab}$$ after finding a common denominator.

What is the importance of checking for restrictions in rational expressions?

Restrictions prevent division by zero, which is undefined in mathematics.

What is the result of $$\frac{3}{x} + \frac{2}{x}$$ ?

The result is $$\frac{5}{x}$$ .

How do you multiply rational expressions?

Multiply the numerators together and the denominators together, then simplify.

What is the result of $$\frac{2}{3} \times \frac{3}{4}$$ ?

The result is $$\frac{1}{2}$$ after simplifying.

Rational Expressions II Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational expression?

Back

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

2.

FLASHCARD QUESTION

Front

What is the common denominator?

Back

The common denominator is the least common multiple (LCM) of the denominators of the rational expressions involved.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the process to subtract rational expressions?

Back

To subtract rational expressions, first find a common denominator, then subtract the numerators and simplify.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the difference of squares?

Back

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