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OpenStudy (acespeedfighter):
(06.07 MC)
Which expressions are equivalent to 3(x + 3y + 2x − y )? (1 point)
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
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OpenStudy (hayisforhorses):
WHY
OpenStudy (acespeedfighter):
why? what
OpenStudy (hayisforhorses):
I JUST ANSWERED THIS
OpenStudy (mathstudent55):
Can you simplify the given expression.
Combine like terms inside the parentheses.
OpenStudy (hayisforhorses):
I'm so confused
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OpenStudy (acespeedfighter):
hmm...
OpenStudy (fopkate):
The answer is the first one because you combine the like terms inside of the parenthesis first, and then you distribute the 3 to that equation.
OpenStudy (mathstudent55):
\(3(\color{red}{x} + \color{green}{3y} + \color{red}{2x} + \color{green}{− y} ) =\)
\(3(\color{red}{x} + \color{red}{2x} + \color{green}{3y} + \color{green}{− y} ) \)
What do you get inside the parentheses?
OpenStudy (acespeedfighter):
3 + 2 = 5
OpenStudy (acespeedfighter):
2 + 3 = 5
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OpenStudy (mathstudent55):
What is x + 2x = ?
OpenStudy (mathstudent55):
What is 3y - y = ?
OpenStudy (acespeedfighter):
x + 2 = 3 then 3 - y = 2
OpenStudy (mathstudent55):
There is no x + 2.
Also x + 2 is not 3
It is x + 2x which is equal to 3x.
OpenStudy (mathstudent55):
With the y's it is not 3 - y
It is 3y - y = 2y
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OpenStudy (mathstudent55):
That means that when we combine like terms inside the parentheses, we get
3(3x + 2y)
OpenStudy (mathstudent55):
Then we use the distributive property to get
\(3(3x + 2y) = 9x + 6y\)
OpenStudy (acespeedfighter):
still dont get it
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