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Chapter 1

Stack #48106

Natural #'s counting 3's, Ex: 1, 2, 3, 4 (N)
Whole #'s counting #'s & 0 (W)
Integers every # (Z)
Rational #'s Includes repeating/terminating decimals (Q)
Irrational #'s Non-repeatin/ terminatin decimals (Ir)
Real #'s Everything we know of so far (R)
Commutative Property Order doesn't matter when you add or multiply a+b=b+a, a*b=b*a
Associative Property When adding or multiplying, it doesn't matter which #'s you group (a+b)+c=a+(b+c), a(b*c)=(a*b)c
Identity Property Any # multiplied by 1 or added to 0 is still the same # a+0=a, a*1=a
Multiplicative Property of 0 Any # multiplied by 0 equals 0 a*0=0
Inverse Axiom the sum of a # and its inverse is 0, the product of a # and its reciprocal is 1 a+(-a)=0, a(1/a)=1
Reflexive Property any # is equal to itself a=a
Symmetric Property If 2 expressions are equivalent, then it doesn't matter which side of the = they're on If a=b, then b=c
Transitive Property If one expression is equivalent to 2 other expressions, then the 2 other expressions must be equivalent as well If a=b and b=c, then a=c
Conjunction Must satisfy both inequalities, connected with "and" upside-down U
Disjunction Must satisfy at east one of the inequalities, connected with "or" U
Relation A set of ordered pairs (x,y)
Finite relation countable set of ordered pairs listing, mapping, graphing
Infinite Relation uncountable set of ordered pairs graphed inequality or equation
Domain the set of "x" values in a relation Finite- domain expressed as a list, infinite- expressed as an inequality
Range the set of "y" values in a relation Finite- range expressed as a list, infinite- expressed as an inequality
Function a relation such that no "x" value is repeated All "y=" equations are
Literal equations Has more than one variable (lq's)
Slope-intercept equation of a line y=mx+b
Undefined slope Parallel to "y" axis, vertical line y=c
0 slope parallel to "x" axis, horizontal line x=c
Point-slope formula when given a point and the slope to find the equation of a line y-y1=m(x-x1)
Slope formula when given 2 points (y2-y1)/(x2-x1)
Created by: emmamalo