How Do You Solve an Absolute Value Equation when Equal to a Negative Number

How Do You Solve an Absolute Value Equation when Equal to a Negative Number

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an absolute value equation. It highlights that absolute values are always positive, making it impossible for an absolute value to equal a negative number. Therefore, the given equation has no solution.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step in solving an absolute value equation?

Convert the equation to a linear form

Identify if the equation is quadratic

Check if the absolute value is negative

Simplify the equation by removing constants

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the absolute value of a number always positive?

Because it represents the number itself

Because it is a mathematical rule

Because it is always greater than zero

Because it measures the distance from zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an absolute value?

The absolute value of 3 is 0

The absolute value of -3 is 3

The absolute value of 3 is -3

The absolute value of -3 is -3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion can be drawn about the equation |Y| = -5?

It has two solutions

It has infinite solutions

It has a unique solution

It has no solution

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main reason the equation |Y| = -5 has no solution?

Because the equation is not quadratic

Because absolute values cannot be negative

Because the equation is not linear

Because Y is not defined

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