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Mathematics 7 Online
OpenStudy (anonymous):

Simplify the following by removing the parentheses and combining like terms.. (pic in comments)

OpenStudy (anonymous):

Directrix (directrix):

Do you want to give it a whirl and see how you do? Or, would you prefer another explanation by parts before you try one on your own? It's your call.

OpenStudy (anonymous):

Okay, well obviously the 3+3 would be 6.. so then it would be.. 6(2t-4) and you would multiply that by both of them right? the 2 and the.. would that be -4? (that's where i usually get mixed up lol)

Directrix (directrix):

3 + 3 ( 2t - 4) - 3 ( 4t + 8) - 6 = ?

Directrix (directrix):

3 + 3 ( 2t - 4) - 3 ( 4t + 8) - 6 = 3 + 6t - 12 -12t -24 - 6 =

Directrix (directrix):

@kaela_stanley 3 + 3 ( 2t - 4) does not mean 3 + 3. 3 and then 3*(2t -4) are not like terms. That second 3 in front of the (2t -4) is not really a 3. That second 3 is really 6t - 12.

OpenStudy (anonymous):

Ah okay, that makes sense now.. so the second one is pretty much to multiply with the 2 and the -4 then the first one stays there until we combine the like terms, right?

Directrix (directrix):

Yes with one exception. so the second one is pretty much to multiply with the **2t** and the -4 To multiply with the 2t. Remember, 2 and then 2t are as different as day and night.

OpenStudy (anonymous):

So now with the.. 3 + 6t - 12 -12t -24 - 6 = combined.. Would be.. -6t + would that be -15? or no.. -6t-15 ? Because when it's a negative you subtract it instead of adding it?

Directrix (directrix):

3 -------------------> 3 + 3 ( 2t - 4) -----------> 6t - 12 - 3 ( 4t + 8) -----------> -12t -24 - 6 -------------------> -6 ----------------------------------------- 3 -12 -24 -6 = - 39 6t - 12t = - 6t ================ -39 - 6t or as we usually say ---> -6t - 39

OpenStudy (anonymous):

Ah! I completely missed the -24 in there.. lol

Directrix (directrix):

Would you consider posting what you get for these 9 problems.

Directrix (directrix):

Let's see if we can pinpoint where the confusion begins. If you only have time for a few of the problems, that's okay. It's up to you.

OpenStudy (anonymous):

Okay, 1. -2f+5 2. -8t+15 3. Okay I'm not sure about these.. (I didn't do this one or..8?) Because I'm not sure how to solve them exactly.. for this one would it be like 1s-2s? 4. -21b-27 6. -1c+6? (Wasn't entirely sure on this one) 7. 12r-6 8. (I'll finish this one after I'm clear about three) 9. 1b+7? Now I wasn't 100% sure on this one either.. since it's 1b would it just be b+7? or keep the one?

Directrix (directrix):

Checkk here. See attachment.

Directrix (directrix):

You can make question and answer sheets here: http://www.math-aids.com/Algebra/Algebra_1/Basics/Combining_Like_Terms.html

Directrix (directrix):

On #3, s - 2s is 1s - 2s = -1s or just -s. One s minus two s leaves you short one s, so -s is the result.

Directrix (directrix):

#6 is similar 8c -9c + 6 = -1c + 6 or just -c + 6. 8 of the c were here and 9 of the c left, leaving us short one c or -1c which is -c. The 6 does not end in c. It is an unlike term. So, the answer is -c + 6

OpenStudy (anonymous):

Ah, okay well that makes sense now.. I wasn't completely sure about canceling out the -1 but I was pretty sure that you would.

OpenStudy (anonymous):

And for 9, I did re-do that one and like the 3+3 I forgot to carry the 6 over and add it to the 7..

Directrix (directrix):

It helps to write down the steps. I do because it is easy to lose a term. What about #2?

OpenStudy (anonymous):

Okay for that one.. for the 2(-4p-3) For the first part I got.. -8p-6+9? then -8p+3 I just re-did it and wrote it down on paper solving the steps and this time I did get it right.. I have no idea what I did the first time.. lol

Directrix (directrix):

2(-4p-3) For the first part I got.. -8p-6+9? Yes which is -8p + 3 I write all the steps down on paper and especially so when I am helping someone on OS.

Directrix (directrix):

What about the other problems? Shall we talk about them? Also, I can post a few more.

OpenStudy (anonymous):

So do i, I can say for the most part actually doing these few problems with your help I do understand them a lot better now.. I did a few on my homework (My class is online my homework I do the problem, submit the answer and I can check my answer like twice and if i get it wrong it resets the problem) But I did do a few on my own after you've helped me and I did get them right.. lol And.. the problems.. 1,4 and 7.. I didn't really have any problems with after knowing how to solve them now. :p

Directrix (directrix):

Are you up for a 3 problem nightcap? If so, I am. I will attach them here.

Directrix (directrix):

And, maybe tomorrow we can work on simplification problems with two variables. Or, your assigned problems. Whatever helps you is what we will do. And, I appreciate your willingness to hang in there and do these problems. I know how frustrating it can be. But, look at the progress you've made.

OpenStudy (anonymous):

Sounds good to me.. and yeah it is very frustrating.. especially after you do math for so long.. /: But it was worth it at least I pretty much know how to solve them now.. for the most part.. I've had a few minor mistakes. but I'm getting better lol.

OpenStudy (anonymous):

Okay, for the first one I got.. -21x-24 2. -27x+16 3. -48n-63

Directrix (directrix):

That is what I got for all three of them Congrats to you.

OpenStudy (anonymous):

Thanks so much for helping me actually understand how to solve them. :)

Directrix (directrix):

You are welcome. Catch you soon for the two variable type problems or your other math work.

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