Mathematics
7 Online
OpenStudy (anonymous):
Which expression is equivalent to 11(17 – x)?
A.
11 • 17 – 11x
B.
11 • 17 – x
C.
11 + 17 – x
D.
17 – 11x
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OpenStudy (kidrah69):
What do you think?
(hint think of how you would solve that)
OpenStudy (kidrah69):
Think of the distributive property steps...
OpenStudy (anonymous):
I was thinking B
OpenStudy (kidrah69):
Thats not correct
OpenStudy (skullpatrol):
Why?
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OpenStudy (kidrah69):
?
OpenStudy (kidrah69):
When you distribute or i should say solve the equation....you will not end up with that. We are missing something....do you know what that is?
OpenStudy (skullpatrol):
$$\Huge a(b+c)=ab+ac$$
OpenStudy (anonymous):
No...
OpenStudy (kidrah69):
Do you know how to solve that? the main equation? ( i know we are not supposed to solve it but it will help you understand)
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OpenStudy (skullpatrol):
Notice how the "a" is distributed over the b and c
OpenStudy (anonymous):
Yes, I solve the parentheses first then multiply right?
OpenStudy (kidrah69):
No...always distribute the outter number into the parenthesis.....this is known as the distributive property.
OpenStudy (skullpatrol):
This is called an EXPRESSION not an equation ... You can only SOLVE equations :-)
OpenStudy (anonymous):
Oh okay lol I am so confused :3
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OpenStudy (kidrah69):
Right what i was trying to get at was if she knows how to distribute then she can get her answer....
OpenStudy (kidrah69):
@~*Ashtyn*~ i think i'lll let @skullpatrol finish i dont want to confuse you :)
OpenStudy (skullpatrol):
Look carefully at the distributive property of multiplication with respect to subtraction.
OpenStudy (skullpatrol):
$$\Huge a(b-c)=ab-ac$$
OpenStudy (anonymous):
Okay...
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OpenStudy (skullpatrol):
Replace a with 11 in your question
OpenStudy (skullpatrol):
$$\Huge 11(17-x)=?$$
OpenStudy (skullpatrol):
b is 17 and c is x
OpenStudy (anonymous):
Sorry my acc. lagged and logged itself out so just give me one minute :)
OpenStudy (skullpatrol):
$$\Huge a(b-c)=ab-ac$$
$$\Huge 11(17-x)=?$$
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OpenStudy (anonymous):
\[11\times17-17\times x\]
OpenStudy (anonymous):
So A
OpenStudy (skullpatrol):
Correct :D
rvc (rvc):
candy(2child-3)=2candy(child)-3candy
rvc (rvc):
All the best
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OpenStudy (anonymous):
Combine like terms.
8 + 6x – 11x + 12
A.
14x + 1x
B.
20 – 5x
C.
20 – 17x <<<<<<
D.
20 + 5x
OpenStudy (skullpatrol):
What is 6-11?
OpenStudy (anonymous):
5
OpenStudy (skullpatrol):
$$\Huge 6-11=6+(-11)$$
OpenStudy (anonymous):
???
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OpenStudy (anonymous):
It says combine like terms... Wouldn't B be correct?...
OpenStudy (skullpatrol):
Yes
OpenStudy (anonymous):
I mean C wouldn't C be correct lol
OpenStudy (skullpatrol):
B is the right answer.
OpenStudy (skullpatrol):
$$\Huge 6-11 =6+(-11)=-5$$
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OpenStudy (skullpatrol):
$$\Huge 6x-11x=(6-11)x=-5x$$
OpenStudy (skullpatrol):
$$\Huge ba-ca=(b-c)a$$
OpenStudy (anonymous):
OpenStudy (skullpatrol):
That^ is the distributive property
OpenStudy (anonymous):
I'm combining like terms :3
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OpenStudy (anonymous):
I thought......
OpenStudy (skullpatrol):
What do you think the definition of "like terms" is ?
OpenStudy (skullpatrol):
"Like" terms are also called "similar" terms
OpenStudy (skullpatrol):
They are the same except for their numerical coefficient
OpenStudy (skullpatrol):
6x and 11x are like terms because they are the same except for the numerical coefficients of 6 and 11, right?
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OpenStudy (skullpatrol):
They have a common factor of x.
OpenStudy (anonymous):
I get it lol I picked B