How to Solve One Step Equations

Solving By Inspection

Addition

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

After you solve the variable now you must verify your answer.

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

Addition

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

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