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y is not equal to 0 exponents question

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sandy
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y is not equal to 0 exponents question [#permalink] New post   29 Oct 2018, 16:53
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\(y \neq 0\)

Quantity A
Quantity B
\(\frac{-(y^3)}{2}\)
\(\frac{y^2}{2}\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
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D
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Re: y is not equal to 0 exponents question [#permalink] New post   31 Oct 2018, 07:30
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sandy wrote:
\(y \neq 0\)

Quantity A
Quantity B
\(\frac{-y^3}{2}\)
\(\frac{y^2}{2}\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.


We can solve this question using matching operations

Given:
Quantity A: -y³/2
Quantity B: y²/2

Multiply both sides by 2 to get:
Quantity A: -y³
Quantity B: y²

Since y² is POSITIVE, we can safely divide both quantities by y² to get:
Quantity A: -y
Quantity B: 1

So, if y = -1, then the two quantities are EQUAL
If y = 2, then quantity B is GREATER
If y = -2, then quantity A is GREATER

Answer: D

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Re: y is not equal to 0 exponents question [#permalink] New post   05 Mar 2023, 16:38
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: y is not equal to 0 exponents question [#permalink]
05 Mar 2023, 16:38
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