4-3 Simplify Rational Expressions

4-3 Simplify Rational Expressions

Assessment

Flashcard

Mathematics

10th - 11th Grade

Hard

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16 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

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.

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.

4.

FLASHCARD QUESTION

Front

What are the domain restrictions for the expression (x-4)/(x+3)?

Back

x ≠ -3 (the denominator cannot be zero).

5.

FLASHCARD QUESTION

Front

How do you find the values that make a rational expression undefined?

Back

Set the denominator equal to zero and solve for x.

6.

FLASHCARD QUESTION

Front

Simplify the expression: (x^2 - 9)/(x + 3)

Back

x - 3 (after factoring the numerator as (x-3)(x+3) and canceling the common factor).

7.

FLASHCARD QUESTION

Front

What is the domain of the expression (x^2 - 1)/(x^2 - 4)?

Back

x ≠ 2 and x ≠ -2 (the values that make the denominator zero).

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