Alec's Algebra Post

How to Solve One Step Equations
Solving By Inspection
2+n=4
The first thing we're going to do is isolate the variable.
2+n-2=4-2
You may have noticed that I put a "-2" after the "4". This is because in algebra, what ever you do to one side, you must do to the other. This is called balancing the equation. Now all that is left is to solve.
n=2
One more thing, after you solve, you must verify your answer.
2+n=4 Since 4=4, we know that we got the correct answer.
2+(2)=4
4=4
Solving With Alge-Tiles
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How to Solve Two Step Algebra Equations
Solving by Inspection
2x+1=5
First, cancel the constant using opposites
2x+1-1=5-1
Instead of writing "2x+1-1" you could transpose.
2x=5-1
Now, you must simplify the variable. in our case, we must divide to simplify "2x"
2x/2=4/2
Similar to one-step equations, what ever you do one side, you must do to the other side. After doing all this, you get your answer.
x=2
Now we must verify our answer.
2x+1=5
2(2)+1=5
(4)+1=5
5=5
Now we'll try it using division.
x/2+2=5
x/2=5-2
(2)x/2=3(2)
x=6
Verify
x/2+2=5
(6)/2+2=5
3+2=5
5=5
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