Question

Please Help:

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.

Answer 1

ok lets concentrate on the 1st one. Read it as two parts-"twice the...(something)" & "..sum of x & y

Answer 2

sum of x&y= x+y

Answer 3

Okay

Answer 4

sum of x&y= x+y.
So, twice the sum of x&y= 2(x+y).
Get it?

Answer 5

ok, the second one now. Three parts-"the sum of" , "twice x" & "y".
twice x= 2x.
Therefore, the sum of twice x & y is...
2x+y.

Answer 6

do you get it?

Answer 7

Yeah I think. But how would I explain the differences between the two exactly?

Answer 8

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."

Answer 9

Sorry, I stepped away from my computer for a minute... I think I get it

Answer 10

that's ok. ok great

Answer 11

thanks

Answer 12

For?

Answer 13

medal

Answer 14

Oh anytime! :)

Answer 15

lol