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# Find an algebraic expression to represent each of the follow

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Joined: 18 Apr 2015
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Find an algebraic expression to represent each of the follow [#permalink]  23 May 2019, 01:16
Expert's post
Find an algebraic expression to represent each of the following.

(a) The square of y is subtracted from 5, and the result is multiplied by 37.

(b) Three times x is squared, and the result is divided by 7.

(c) The product of $$(x+4)$$ and y is added to 18.

[Reveal] Spoiler: OA
(a) $$37(5-y^2)$$, or $$185-37y^2$$ (b) $$\frac{(3x)^2}{7}$$, or $$\frac{9x^2}{7}$$ (c) $$18+ (x+4)(y)$$, or $$18+xy+4y$$

Math Review
Question: 1
Page: 243
Difficulty: medium

_________________
GRE Instructor
Joined: 10 Apr 2015
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Re: Find an algebraic expression to represent each of the follow [#permalink]  23 May 2019, 05:59
Expert's post
Carcass wrote:
Find an algebraic expression to represent each of the following.

(a) The square of y is subtracted from 5, and the result is multiplied by 37.

(b) Three times x is squared, and the result is divided by 7.

(c) The product of $$(x+4)$$ and y is added to 18.

[Reveal] Spoiler: OA
(a) $$37(5-y^2)$$, or $$185-37y^2$$ (b) $$\frac{(3x)^2}{7}$$, or $$\frac{9x^2}{7}$$ (c) $$18+ (x+4)(y)$$, or $$18+xy+4y$$

Math Review
Question: 1
Page: 243
Difficulty: medium

(a) The square of y is subtracted from 5, and the result is multiplied by 37.
The square of y is subtracted from 5: $$5-y^2$$
...and the result is multiplied by 37: $$37(5-y^2)$$

(b) Three times x is squared, and the result is divided by 7.
Three times x is squared: $$(3x)^2$$
...and the result is divided by 7: $$\frac{(3x)^2}{7}$$

(c) The product of $$(x+4)$$ and y is added to 18.
The product of $$(x+4)$$ and y: $$y(x+4)$$
...is added to 18: $$18+y(x+4)$$
If we want, we can also expand the product to get: $$18+yx+4y$$

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: Find an algebraic expression to represent each of the follow   [#permalink] 23 May 2019, 05:59
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