Learn how to evaluate a limit with a function as a complex fraction

Learn how to evaluate a limit with a function as a complex fraction

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify complex fractions by identifying and applying the least common denominator (LCD). The instructor demonstrates the process of eliminating denominators by multiplying both the numerator and the denominator by the LCD, ensuring equivalent fractions. The tutorial also covers the simplification of the expression and evaluates it for a specific value, resulting in a final answer. The focus is on using algebraic properties and the distributive property to achieve simplification.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying a complex fraction according to the teacher?

Factoring the numerator

Combining the terms in the denominator

Identifying the least common denominator

Rationalizing the numerator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to multiply both the numerator and the denominator by the LCD?

To change the value of the fraction

To make the fraction more complex

To add new terms to the fraction

To eliminate the denominators

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the terms X + 4 and 4 in the simplification process?

They are added together

They are multiplied by the numerator

They divide out

They remain unchanged

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression before evaluation?

1 / (4 * X + 4)

-X / (4 * X + 4)

-1 / (4 * X + 4)

X / (4 * X + 4)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when the expression is evaluated at X = 0?

Negative one-sixteenth

Zero

One-sixteenth

Negative four