Translate the following phrases into algebraic expressions. Explain, in complete sentences, the difference between the two. (3 points)
twice the sum of x and y
the sum of twice x and y
I know that it is:
2(x+y) and 2x+y, But I don't get how to explain the difference between the two.
Stacey Warren - Expert brainly.com
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ok lets concentrate on the 1st one. Read it as two parts-"twice the...(something)" & "..sum of x & y
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sum of x&y= x+y.
So, twice the sum of x&y= 2(x+y).
ok, the second one now. Three parts-"the sum of" , "twice x" & "y".
twice x= 2x.
Therefore, the sum of twice x & y is...
do you get it?
Yeah I think. But how would I explain the differences between the two exactly?
how you should answer these questions: as you read "the sum of", you ask yourself "ok, the sum of what?"
then, you read further & go "oh twice x is nothing but 2x" & you write 2x down.
You go on & read "and y" & you think "ok the sum of 2x & y -- that is 2x+y. So the answer is 2x+y."
Sorry, I stepped away from my computer for a minute... I think I get it