| Term 
 
        | additive property of equality |  | Definition 
 
        | if a=b and c=d, then a+c=b+d |  | 
        |  | 
        
        | Term 
 
        | subtraction property of equality |  | Definition 
 
        | if a=b and c=d, then a-c=b-d |  | 
        |  | 
        
        | Term 
 
        | reflexive property of equality |  | Definition 
 | 
        |  | 
        
        | Term 
 
        | transitive property of equality |  | Definition 
 | 
        |  | 
        
        | Term 
 
        | symmetric property of equality |  | Definition 
 | 
        |  | 
        
        | Term 
 | Definition 
 
        | a+0=a (Zero is the additive identity) |  | 
        |  | 
        
        | Term 
 | Definition 
 
        | a+0=a (Zero is the additive identity) |  | 
        |  | 
        
        | Term 
 | Definition 
 
        | a*1=a (One is the mult. identity) |  | 
        |  | 
        
        | Term 
 | Definition 
 | 
        |  | 
        
        | Term 
 | Definition 
 | 
        |  | 
        
        | Term 
 
        | commutative property of addition |  | Definition 
 | 
        |  | 
        
        | Term 
 
        | associative property of addition |  | Definition 
 | 
        |  | 
        
        | Term 
 
        | associative property of multiplication |  | Definition 
 | 
        |  | 
        
        | Term 
 | Definition 
 | 
        |  | 
        
        | Term 
 | Definition 
 
        | if a=b, then each may replace the other in any algebrai expression |  | 
        |  |