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Solving One-Step Equations

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Natacha White

on 25 September 2013

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Transcript of Solving One-Step Equations

Solving Equations
Solving One-Step Equations
Solving Two-Step Equations
3x-2=4
+2 +2
Equations Having Like Terms and Parentheses
-21=7(3-x)
Equations with Variables on Both Sides
The first thing you are going to do is subtract 4r from its self and 6r.
In all equations, you want to isolate the variable.
40 is your answer.
When solving two-step equations, you will have to add, subtract, multiply, or divide.
First, you will add 2 to 4 to cancel 2 out.
Checking
Checking is actually very easy! All you have to do is plug in your answer for the variable.
Basic Steps
1. Put the equation in standard form (if necessary).
2. Use inverse operations to get the variable alone.
3. Do the same operation to the other side.
4. Use substitution to check the solution.
x+10=50
-10 -10
x=50-10
x=40
To do that, you will subtract 10 from itself and 50.
That leaves you with x=50-10
Then you just subtract 10 from 50 which is 40.
x+10=50
40+10=50
What is 40+10?
50=50
Does 50=50?
Yes it does! Now you know your answer is correct.
You end up with 3x=6
3x=6
3x 3x
3x divided by 6 and you get 2.
x=2

Distributive Property
Distributive property is when you multiply the number outside the parentheses by the number or numbers inside the parentheses.
Like Terms
Like Terms are terms whose variables and exponents are the same.
First you are going to use distributive property and multiply 7 times 3 and -x.
-21=21-7x
21 -21
Then you add 21 to itself and to 21 to cancel it out.
Now you have -42=-7x.
-42=-7x
You divide -42 by -7 and get positive 6.
-6=x
Sources
Mrs. Ellis's class notes
http://www.mathsisfun.com/definitions/like-terms.html
http://www.lemars.k12.ia.us/webfiles/mboyd/Pre-Algebra%20Textbook%20(e-edition)/Source/J9A03BAD.pdf
6r=4r+16
-4r -4r
2r=16
Now there is 2r=16. You will divide 16 by 2.
r=8
16 divided by 2 is 8 so eight is your answer.
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