Use the STOP method to help with solving one step equations
6th grade math
Welcome to moomoomath and solving one step equations.
In this episode I would to teach the STOP method for solving one step equations.
The STOP method is just a simple mnemonic method that will help you remember the steps involved and eliminate mistakes.
The S stands for separate, you will first separate the equation by drawing a line at the equal sign.
Next you will work on getting the variable totally alone.
Next, complete the opposite operation, and finally, please check your work.
When you separate think of a balance, and the equation should be balanced. When you think separate think balanced because what takes place on one side of the equation you must complete on the other side of the equation.
If you put one block of wood here, to keep it in balance you need to place one on the other side.
Visualize that when you separate.
Let's begin with some basic one step equations.
Step one is to start with s and with s we will separate the equation.
Now we have two sides, and what you complete on one side you must complete on the other.
Next I need to get the variable totally alone.
In order to get the variable totally alone I need to complete the opposite operation.
The opposite of adding is subtraction.
Instead of adding 8 I will subtract 8
What we do to one side I must complete on the other.
Positive 8 and negative 8 cancel.
Bring the x down
16-8 equals 8
x equals 8
Now we will please check our work.
If I plug 8 in here 8 + 8 does equal 16
Now we will work the next problem and we will separate.
Now we need to get the x totally alone.
We will complete the opposite action and instead of subtracting 7 we will add 7.
The two 7's cancel, and 12 plus 7 equals 19.
I will check my work 19 minus 7 equals 12
Please check your work was correct.
We now have a problem with multiplication.
I will separate by drawing a line.
I will get x totally alone
I will complete the opposite action.
If I'm multiplying by negative 3 then I will need to divide by negative 3
Negative 3 divided by negative 3 equals one.
15 divided by -3 equals negative 5
negative 3 times 5 equals 15
The STOP method is a mnemonic in order to help you remember the steps.
Now we will work a one step equation with division.
I will first separate, next I will get x totally alone by completing the opposite
In this example I will write a 1 in front of the x
You have 1/8 x.
I will multiply because it is division.
I will multiply by 8/1 so you can see why they cancel.
Imagine the scale needs to be balanced and complete the same operation on both sides.
We will multiply 16 by 8/1
These cancel and the ones cancel so I will bring down the x
Now that equals 16 times 8 which equals 128 over 1 which equals 128
The answer will be x equals 128
I will now please check my work.
128 divided by 8 equals 16
The final example is 2/3 x =20
I will draw a line to separate.
I need to get x totally alone
I will give you a shortcut. If you have a fraction in front of the variable
You can multiple the fraction by the opposite which is it's reciprocal.
I will multiply by it's opposite which is 3/2
I will multiply the other side by the same reciprocal
you must complete the same operations on both sides
When I multiply I'm left with 6/6 and 1x
20 times 3 = 60.
60 divided by 2 equals 30
x equals 30
Now we will check our work
We have 2/3 times 30 over 1 equals 20
2 times 30 equals 60
60/3 equals 20 so our answer is correct
Remember to use the STOP method in order tosolve the one step equations.
Separate, the work on getting the variable totally alone.
Complete the opposite action, if you subtraction you add, multiplication you divide
Then check your work.
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