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Math defintions for axioms and properties

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
commutative axiom for addition   x + y = y + x  
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commutative axion for multiplication   xy= yx  
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Associative axiom for addition   (x + y) + z = x + (y + z)  
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Associative axion for multiplication   (xy)z = x(yz)  
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Distributive axiom for multiplication over addition   x (y + z) = xy +xz  
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Additive Identity Axiom   x + 0 = x  
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Additive Inverses Axiom   x + (-x) = 0  
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Multiplicative Identity Axiom   x ' 1 = x  
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Multiplicative Inverses Axiom   x ' 1/x = 1  
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Multiplication property of -1   -1 ' x = -x  
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Multiplication property of 0   0 ' x = 0  
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Transitive axiom of equality   if x = y, and y= z, then x = z.  
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Symmetric axiom of equality   If x = y, then y =x  
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Reflexive axiom of equality   x = x  
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Addition property of equality   if x = y, then x + z = y + z  
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Multiplication property of equality   If x = y, then xz = yz  
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Created by: pragu :)
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