Could someone explain how to figure out "Combining Like Terms?" (Mathematics)?

Question

What're the steps to simplifying these questions?
1. 7x² + x -10x - x+ 4 - 5x² - 4x + (-3x²)

2. 3y² + (-7y) - 8x² - x + y² - y - x + 13x²

3. 6x- x + 2x² -x² - 1 +y² - y + 2y - 3y + 7

(middle school level)

I like Algebra, just not this kind, and it somehow makes me feel sort of dizzy when I look at the problem...

Answer 1

Whatever like terms, you combine.
FOR EXAMPLE.
7x2 + x
would e 8x2
So 8x2 - 10x
aka 8x * 8x - 10x. WHICH WOULD BE 64x - 10x.
54x. and you keep simplifying the LIKE TERMS. like the x's. =)

Answer 2

I think you need to review an earlier chapter. "Like terms" mean the same level of exponent, or lack thereof. Therefore, you put all the x^2's together, 7x^2 - 5x^2 + (-3x^2.) The + (-3x^2) means the same as -3x^2. So you would have (7-5-3)x^2 = -x^2. Then do the same for all the x's. X - x - 4x = -4x. You only have the one constant, which is 4. So the answer for 1. is -x^2 - x + 4. It means put all the squareds together, then put all the unsquared variables together, then put all the constants together, then you'll have your answer.

Answer 3

I'll do 1 and then you can figure out the other 2.
7x² + x -10x - x+ 4 - 5x² - 4x + (-3x²)
combine all of the terms that have x²

(7x²-5x²-3x²)+10x-x+4
-x²+10x-x+4

Then combine all the terms that have x

-x²+(10x-x)+4
-x²+9x+4

And you are all simplified.

Answer 4

Combining like terms simply means adding and subtracting terms that have the same power exponent.

In your first expression select all the terms having x^2 and add them algebraically 7x^2 +(- 5x^2) +( -3x^2) = 7x^2 - 8x^2 = -1x^2

Now do the same thing with all the x terms and you have combined all the like terms.

Answer 5

It means to combine the ones that are simular:

1. combine all the numbers with no exponet over the x like
-x,-10x,-x,-4x
so it would
-x+-10x+-x+-4x

and then you do this with the numbers that have a 2 over the x and so forth.

and then for the second one you have to do the same but to it with the y's and x's

Hope this helps

Answer 6

combine all the x squared terms...... ex.. 7x2 -5x2-3x2= -x2
combine all the x terms
combine all the y squared termss...
combine all the y terms...


hope yu understood...
i don't want to give you the answers..try it by yurself !!!


good luckk!

Answer 7

1.7x^2-5x^2+(-3x^2)+x-10x-x-4x+4

2.3y^2+y^2-8x^2+13x^2+(-7y)-y-x-x

3.2x^2-x^2+y^2+6x-x-y+2y-3y-1+7