Thursday, September 21, 2017

ushajalgebra

How to Solve

Algebra is just like a puzzle where we start with something like "x − 2 = 4" and we want to end up with something like "x = 6".
But instead of saying "obviously x=6", use this neat step-by-step approach:
  • Work out what to remove to get "x = ..."
  • Remove it by doing the opposite (adding is the opposite of subtracting)
  • Do that to both sides
Here is an example:
We want
to remove
the "−2"
x - 2 = 4
 
To remove it, do
the opposite
, in
this case add 2
x - 2 = 4 add 2 to left

Do it to
both sides
x - 2 = 4  add 2 to left and right
 


Which is ...
x + 0 = 6


Solved!
x = 6

Why did we add 2 to both sides?

To "keep the balance"...

 
balance x - 2 vs 4
In Balance
Add 2 to Left Side
unbalanced x - 2 + 2 vs 4
Out of Balance!
Add 2 to Right Side Also
balanced x - 2 + 2 vs 4 + 2
In Balance Again
Just remember this:
To keep the balance, what we do to one side of the "="
we should also do to the other side!

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