Algebra II : Definition of Rational Expression

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 :Rational Expressions

Which of the following fractions is NOT equivalent to?

Possible Answers:

Correct answer:

Explanation:

We know that相当于or.

By this property, there is no way to getfrom.

Therefore the correct answer is.

Example Question #2 :Rational Expressions

Determine the domain of

Possible Answers:

All real numbers

Correct answer:

Explanation:

Because the denominator cannot be zero, the domain is all other numbers except for 1, or

Example Question #3 :Rational Expressions

Simplify:

Possible Answers:

Correct answer:

Explanation:

This problem is a lot simpler if we factor all the expressions involved before proceeding:

接下来让我们记得我们一个分数除以another—by multiplying by the reciprocal:

In this form, we can see that a lot of terms are going to start canceling with each other. All that we're left with is just.

Example Question #4 :Rational Expressions

Which of the following is the best definition of a rational expression?

Possible Answers:

Correct answer:

Explanation:

The rational expression is a ratio of two polynomials.

The denominator cannot be zero.

An example of a rational expression is:

The answer is:

Learning Tools by Varsity Tutors