Don't Forget the Properties!

Distributive Property- a (b+c) = ab+bc
Inverse Property- a+ (-a) = 0 and -a + a = 0
Identity Property-a+ 0=0 + a = a
Commutative Property- a + b = b + a and ab = ba
Associative Property- a + (b+c) = (a+b) + c and a(bc) = (ab)c
Multiplication Property of 0- a * 0 = 0 and 0*a=0