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## Comment on

QC Strategy - Matching Operations## On the next to last example

## Plugging in a negative value

Plugging in a negative value for a variable is not the same as multiplying both quantities by a negative number.

## with due respect, why not to

## That approach can get you

That approach can get you into trouble. If you use the Plugging In Numbers approach, you can't just stop at plugging in one value, since there might be other values of w such that the two quantities are equal or Quantity B is greater (for more on this, watch the part that starts at 2:50 of this video: https://www.greenlighttestprep.com/module/gre-quantitative-comparison/vi...

For example, let's say that we're told that w > 0 and we have the following:

QUANTITY A: w

QUANTITY B: w^2

Using your approach, we might plug in w = 2 (since we're told that w > 0, and 2 > 0). When we do this, we get:

QUANTITY A: 2

QUANTITY B: 4

Here, Quantity B is greater. Does this mean the correct answer is B?

No.

If we plug in w = 1, we get:

QUANTITY A: 1

QUANTITY B: 1

Here, the two quantities are equal.

If we plug in w = 1/2, we get:

QUANTITY A: 1/2

QUANTITY B: 1/4

Here, Quantity A is greater.

So, be careful; plugging in ONE value will not always yield the correct answer.

## Also, why not to cancel 'y-3x

## We are, indeed, "canceling" y

We are, indeed, "canceling" y - 3x^2 from both quantities. This video is meant to show HOW that works. We do so, by performing the same operation to both quantities.

The term "cancel" can sometimes be misinterpreted. It doesn't mean that, if both quantities share the same algebraic expression, then we can just eliminate those expressions from both quantities.

For example, if we have:

QUANTITY A: 3/x

QUANTITY B: 2/x

We can't just say "Since both expressions have an x term, we just cancel them to get:

QUANTITY A: 3

QUANTITY B: 2

This will yield an incorrect conclusion.

So, we need to be careful to follow the rules/guidelines outlined in the video.

## I guess I am confused by the

## Good question.

You're referring to the question that appears at 1:37 in the above video:

Given: w > 0

QUANTITY A: 7w + 4

QUANTITY B: w - 2

For Quantitative Comparison questions involving variables, it's often useful to get all of the variables to just one of the quantities. In most cases, that will make it easier to compare the quantities.

Cheers,

Brent

## So could I say it is

## Are you asking whether we

Are you asking whether we should create the equation 7w + 4 = w - 2?

If so, then the answer is no.

The primary goal of Quantitative Comparison questions is to determine the relationship between the two quantities (Is Quantity A greater? Is Quantity B greater? Do they have equal value?). So, we can never assume that the quantities are of equal value.

Does that help?

Cheers,

Brent

## Just to avoid confusion, I

## Good point, stomer!

Good point, stomer!

## Thank you !!!!

## In the reinforcement question

thanks

## I'm happy to help!

I'm happy to help!

Question link: https://greprepclub.com/forum/m-p-and-x-are-positive-integers-3017.html

Here's my solution: https://greprepclub.com/forum/m-p-and-x-are-positive-integers-3017.html#...

Cheers,

Brent

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