Algebra II Properties
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Created by:
manders134 on January 9, 2012
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21 terms
English | Math / Symbols |
|---|---|
 reflexive | a=a |
| symmetric | if a=b, then b=a |
| transitive | if a=b, and b=c, then a=c |
| addition of equality | if a=b then a+c=b+c |
| multiplication of equality | if a=b then ac=bc |
| substitution | if a=b and a+c= then b+c=d |
| definition of subtraction | a-b=a+(-b) |
| definition of division | a/b=a*(1/b) |
| multiplication property of -1 | (-1)*a=-a |
| multiplication property of 0 | a*0=0 |
| commutative (+) | a+b=b+a |
| commutative (*) | ab=ba |
| associative (+) | (a+b)+c=a+(b+c) |
| associative (*) | (ab)c=a(bc) |
| distributive | a(b+c)=ab+ac |
| additive identity | a+0=a |
| multiplicative identity | a*1=a |
| additive inverse | a+(-a)=0 |
| multiplicative inverse | a*(1/a)=1 |
| closure (+) | a+b has answer in set |
| closure (x) | ab has answer in set |
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