What is the result of $$\frac{4(x+3)}{(x+2)} \times \frac{(x+2)}{4(x+1)}$$ ?

The result is $$\frac{(x+3)}{(x+1)}$$ after canceling the common factor of $$(x+2)$$ and simplifying.

What is the result of $$\frac{(v+9)}{8} + \frac{(v-1)}{8}$$ ?

The result is $$\frac{(2v + 8)}{8} = \frac{(v + 4)}{4}$$ after combining the fractions.

What is the value of x that makes $$\frac{(x+9)}{(x-9)}$$ undefined?

The value of x that makes the expression undefined is $$9$$ .

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

The simplified form is $$(x+9)$$ after canceling the common factor of $$(x-9)$$ .

What is the result of $$\frac{(v+9)}{(v-1)} \times \frac{(v-1)}{8}$$ ?

The result is $$\frac{(v+9)}{8}$$ after canceling the common factor of $$(v-1)$$ .

What is the definition of a common factor in rational expressions?

A common factor is a factor that appears in both the numerator and the denominator of a rational expression.

How do you identify restrictions in rational expressions?

Restrictions are found by setting the denominator equal to zero and solving for the variable.

What is the simplified form of $$\frac{(x+2)}{(x+3)} \times \frac{(x+3)}{(x+1)}$$ ?

The simplified form is $$\frac{(x+2)}{(x+1)}$$ after canceling the common factor of $$(x+3)$$ .

What is the result of $$\frac{(x+2)}{(x+3)} - \frac{(x-1)}{(x+3)}$$ ?

The result is $$\frac{(3)}{(x+3)}$$ after combining the fractions.

What is the importance of factoring in simplifying rational expressions?

Factoring is crucial because it allows you to identify and cancel common factors, simplifying the expression.

Simplifying Rational Expressions Flashcards

Student preview

15 questions

Show all answers

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

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Tags

CCSS.HSA.APR.D.6

3.

FLASHCARD QUESTION

Front

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

Back

A rational expression is undefined when its denominator equals zero.

Tags

CCSS.HSA.APR.D.7

4.

FLASHCARD QUESTION

Front

What is the first step in multiplying rational expressions?

Back

The first step is to factor all numerators and denominators.

Tags

CCSS.HSA.APR.D.7

5.

FLASHCARD QUESTION

Front

How do you multiply two rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.D.7

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.D.7

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