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Algebra Definitions

AB
APOEfor all a,b,c E R, if a=b, then a+c=b+c
MPOEfor all a,b,c E R, if a=b, then ac=bc
Reflexive Prop. of Equalitya=a
terman implied product
like termsterms with exactly the same variable
coefficientthe numerical factor in a term
unary operationan operation with 1 operand
binary operationan operation with 2 operands
universal setthe set of all elements being considered
unionthe combination of all elements of two sets
intersectionthe set of all common elements of 2 sets
complement of a setall elements of the universal set that are not in the given set
identity equation (an equation for which the solution is all real numbers)if Va e A, a#1=a=I#a, then I is the identity element for #
Georgeif ax+b=cx+d, then (a-c)x=d-b
CMTif a/b=c/d, then ad=bc
APOOfor c>0, if a>b, then a+b>a+c and if a<b, then a+b<a+c for c<0, if a>b, then a+b<a+c and if a<b, then a+b>a+c for c<0, if a>b, then a+b<a+c and if a<b, then a+b>a+c and for c<0, if a>b, then a+b<a+c and if a<b, then a+b>a+c
MPOOfor c>0,if a>b, then ac>bc and if a<b, then ac<bc and for c<0, if a>b, then ac<bc and if a<b, then ac>bcfor c<0, if a>b, then ac<bc and if a<b, then ac>bc
interest formulaPRT=I
distance formulaRT=D


Pierce Sandwith

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