How to simplify a basic rational expression

How to simplify a basic rational expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial reviews exponent rules from the previous class, focusing on simplifying expressions involving multiplication and division. It introduces factoring techniques for numerators and denominators, and demonstrates how to simplify expressions to their final form, highlighting the importance of handling expressions with addition or subtraction separately. The tutorial concludes with a final example, emphasizing the conditions under which the simplified expression holds true.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the main focus of the previous class regarding expressions?

Expressions with addition and subtraction

Expressions with multiplication and division

Expressions with exponents and roots

Expressions with variables and constants

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying expressions with addition or subtraction, what is the first step?

Factor out the greatest common factor

Apply the rules of exponents

Combine like terms

Simplify the numerator and denominator separately

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what can be factored out from the denominator?

A coefficient of 3

Nothing can be factored

A variable

A constant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression in the example?

1/3

3/1

3/N

N/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to note that N cannot equal -1/3 in the final answer?

It makes the denominator zero

It changes the value of the expression

It is a common mistake

It simplifies the expression further