## Sunday, May 8, 2011

### Christian T's Algebra Post

How to Solve One Step Equations
Solving By Inspection

2+n=4

First we isolate the variable.
2+(-2)+n= 4-2
Now you must balance the equation by adding the (-2) after 4.
n=2

2+n=4
2+(2)=4
4=4
Since 4=4, we know that we got the correct answer.
Subtracting
It's like the same thing like addition.
n-4 =2
We isolate the variable.
n-4+4=2+4
Then you balance.

n=6
Now you verify.

n-4=2
6-4=2
2=2
Multiplication
2n=4
To isolate the variable you cancel the constant by dividing.

2/2n=4/2
Balance.

n=2
Verify.

2n=4
2(2)=4
4=4
Division
n/4=2

Isolate the variable.
n(4)*/4=2*4

Balance.
n=8
Verify.

n/4=2
8/4=2
2=2
Solving With Algebra-Tiles

Subtraction

How to Solve Two Step Algebra Equations
Solving by Inspection

Multiplication
2x+1=5
First, we cancel the constant with opposites
2x+1-1=5-1
2x=4
Now, we must simplify the variable to 2x
2x/2=4/2
x=2
Now we must verify our answer.
2x+1=5
2(2)+1=5
(4)+1=5
5=5

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
Solving Using Algebra Tiles

Division