What is the first step in simplifying $$\frac{2x^2}{4x^2}$$ ?

Factor out the common terms: $$\frac{2x^2}{4x^2} = \frac{1}{2}$$ after canceling the common factor of $$2x^2$$ .

What is the result of multiplying $$\frac{3}{x}$$ and $$\frac{4}{y}$$ ?

The result is $$\frac{12}{xy}$$ .

What is the result of dividing $$\frac{5x}{2}$$ by $$\frac{3}{4}$$ ?

The result is $$\frac{20x}{6} = \frac{10x}{3}$$ after simplifying.

What is the formula for multiplying rational expressions?

If you have $$\frac{a}{b}$$ and $$\frac{c}{d}$$ , the multiplication is $$\frac{a \cdot c}{b \cdot d}$$ .

What is the importance of factoring in rational expressions?

Factoring helps to identify and cancel common factors, making it easier to simplify the expression.

How do you simplify $$\frac{x^2 - 9}{x^2 - 6x + 9}$$ ?

Factor both the numerator and denominator: $$\frac{(x-3)(x+3)}{(x-3)(x-3)} = \frac{x+3}{x-3}$$ after canceling.

What is the result of multiplying $$\frac{2x}{x+1}$$ and $$\frac{x+1}{3}$$ ?

The result is $$\frac{2x}{3}$$ after canceling $$x+1$$ .

What is the significance of the reciprocal in division of rational expressions?

The reciprocal allows you to convert the division problem into a multiplication problem, simplifying the process.

What is the result of dividing $$\frac{x^2 - 1}{x + 1}$$ by $$\frac{x - 1}{x^2}$$ ?

The result is $$\frac{x^2(x+1)}{(x-1)(x+1)} = \frac{x^2}{x-1}$$ after canceling.

FLASHCARD- Rational Expressions Operations MULT/Divide Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.7

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a rational expression?

Back

To simplify a rational expression means to reduce it to its lowest terms by canceling common factors in the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

3.

FLASHCARD QUESTION

Front

How do you multiply two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Tags

CCSS.HSA.APR.D.7

4.

FLASHCARD QUESTION

Front

What is the process for dividing rational expressions?

Back

To divide rational expressions, multiply the first expression by the reciprocal of the second expression, then simplify.

Tags

CCSS.HSA.APR.D.6

5.

FLASHCARD QUESTION

Front

What are excluded values in rational expressions?

Back

Excluded values are values of the variable that make the denominator zero, which are not allowed in rational expressions.

6.

FLASHCARD QUESTION

Front

Back

Set the denominator equal to zero: x - 3 = 0, so x = 3 is an excluded value.

Tags

CCSS.HSF-IF.C.7D

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.D.6

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