Question

7(2m-2)-5m=9m-14 is this identity contratiction or conditional?

Answer 1

How far did you get?

Answer 2

I have a hard time solving them I can identify them but I cant solve them

Answer 3

So for a first step, it might be good to make it simpler. You'll want to distribute the first term 7(2m-2)

Answer 4

5m?

Answer 5

7m I mean?

Answer 6

Whenever you have multiplication outside of parentheses, each term (in this case, 2m and -2) needs to be multiplied by whatever is on the outside (7 in this case)

Answer 7

First, 7*2m = ?

Answer 8

ok

Answer 9

so you do the m with the 2

Answer 10

Right, to get 14. And then you have an m attached, so that gives you 7*2m = 14m

Answer 11

Oops, sorry, misread

Answer 12

ohhhh ok

Answer 13

ok so.....????

Answer 14

Then we do the same thing with 7 and -2 to get -14

Answer 15

ok Im getting this.

Answer 16

So we know that 7(2m - 2) is the same as 14m - 14. We're going to choose 14m - 14 because it's a little simpler.

Now we have 14m - 14 - 5m = 9m - 14

Answer 17

Okay so far?

Answer 18

ok.

Answer 19

Okay. So, if you see something like that in a future problem, the first step is probably to distribute.

What's our next step?

Answer 20

cominbe like terms?

Answer 21

polpak,,,, hey u!

Answer 22

Actually, just rewrite the equation as it is now and I think you'll be able to identify it.

Answer 23

Also, send me an email so I have yours ;)

Answer 24

Good!

Answer 25

Which terms should you combine?

Answer 26

I really don't think you need to do the combining part. If you write the whole equation you can identify it now.

Answer 27

my comp froze sorry guys

Answer 28

Np

Answer 29

I got it.

Answer 30

Im going to run and grab my charger for my comp should I combine terms or no?

Answer 31

Can you write the expression for just the left side of the equation now (after distributing)?

Answer 32

then compare that with the right side.

Answer 33

There are several ways to do it. I was suggesting one way.

Answer 34

Oh, certainly.

Answer 35

r u there?

Answer 36

Me or Polpak?

Answer 37

doesnt matter you were helping me just fine.

Answer 38

Okidoki. Which like-terms should you combine (and what do you get)?

Answer 39

14m-5m=9m?

Answer 40

Good :). Now what is your equation?

Answer 41

what do u mean?

Answer 42

What do you get for the equation after you combine the like-terms?

Answer 43

identity?

Answer 44

Yes :), perfect.

Answer 45

but wait whaat about the -14
'''

Answer 46

yay!!!!!!!!

Answer 47

You have 9m-14=9m-14

Answer 48

omg I cant believe I solved it thank you so much

Answer 49

you made it pretty easy

Answer 50

Thanks :). You did great. Algebra is difficult, but it just takes practice to get better.

Answer 51

Look at these,

Answer 52

The sum of a number and -14 is -32 . find the number

Answer 53

What do you think?

Answer 54

-14x is 32?

Answer 55

What is a sum?

Answer 56

+

Answer 57

Yes, so you'll have to have addition in there. I like the choice of a variable for the number you don't know.

Answer 58

(-14x)+is(-32)

Answer 59

How do we write "is" in math-speak?

Answer 60

Would we solve the same way we did b4?

Answer 61

*?

Answer 62

Similarly, but first we have to get the equation.

Answer 63

multiply?

Answer 64

We have a sum, so we don't have multiplication.

Answer 65

Instead of multiplication, we should have addition.

Answer 66

ok

Answer 67

-14x+ (-32)

Answer 68

should ther be a equal sign after the -32?

Answer 69

Closer. We have "The sum of a number and -14." This means that we are adding an unknown number (which you've been calling x) to -14.

As far as the equal sign goes, we almost always translate "is" as "=" in word problems.

Answer 70

Everything before the word "is": The sum of a number and -14

This means all that goes before the = sign. Everything after the word "is" will go on the right of the = sign.

Answer 71

You're getting closer. Give it another try.