3
@12 One Step Equations
%3
^1
According to the Addition Property of 
Equations, adding the same value to 
both sides of an equation results in an 
equivalent equation.  
^2
Use the Addition Property of Equations 
to isolate the variable on one side of 
the equal sign.  
Add the inverse of the numerical term 
to both sides of the equation.
^3
Simplify.
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%3
^1
According to the Multiplication 
Property of Equations, multiplying both 
sides of an equation by the same 
nonzero number results in an equivalent 
equation.
^2
To remove the coefficient of a 
variable, use the Multiplication 
Property of Equations.  
(Multiply both sides of the equation by 
the reciprocal of the coefficient.)
^3
Simplify.
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@22 Two Step Equations
%5
^1
In some equations, you will need to use 
both the Addition Property and the 
Multiplication Property.
^2
Start by using the Addition Property to 
isolate the variable term.  
(Add the inverse of the constant to 
both sides.)
^3
Simplify.
^4
Then use the Multiplication Property.  
(Multiply both sides by the reciprocal 
of the coefficient of the variable.)
^5
Simplify.
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%5
^1
In some equations, you will need to use 
both the Addition Property and the 
Multiplication Property.
^2
Start by using the Addition Property to 
isolate the variable term.  
(Add the inverse of the constant to 
both sides.)
^3
Simplify.
^4
If the variable's coefficient is -1 (or 
just a negative sign), multiply both 
sides of the equation by the reciprocal 
of -1, which is -1.
^5  
Simplify.
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@32 Equations with More Steps
%7
^1
If an equation includes a polynomial 
multiplied by a monomial, first use the 
Distributive Property to simplify.  
Then use the Addition Property and the 
Multiplication Property as necessary.
^2
Use the Distributive Property.
^3
Simplify by collecting like terms.
^4
Use the Addition Property to isolate 
the variable term.
^5
Simplify.
^6
Use the Multiplication Property to find 
the value of the variable.
^7
Simplify.  Reduce any fraction, but 
leave it in improper form.
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%8
^1
If an equation includes a polynomial 
multiplied by a monomial, first use the 
Distributive Property to simplify.  
Then use the Addition Property and the 
Multiplication Property as necessary.
^2
Use the Distributive Property.
^3
Use the Addition Property to get all 
variable terms on one side of the 
equation. 
(Add the opposite of the smaller 
variable term to both sides.) 
^4
Simplify by collecting like terms.
^5
Use the Addition Property again to 
isolate the variable.
^6
Simplify.
^7
Use the Multiplication Property to find 
the final answer.
^8
Simplify.  Reduce any fraction, but 
leave it in improper form.
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