Algebra Midterm Review

communative order in which elements are added or multiplied doesn’t change the sum
associative the grouping of elements doesn’t change the sum or product
distributive a number or element can be multiplied to elements in a parenthesis
additive inverse the sum of an element and its oppisite
additive identity the sum of an element and zero is the element
multiplicative inverse the product of an element and its reciprocals is one
multiplicative identity when n element is multiplied by one the product is that element
zero property when an element is multiplied by zero, the product is zero
solution or root a number or number that can replace the variables to make a true sentence
solution set a group of numbers that make the equation true
consecutive integers numbers that follow in the order
zero exponents one
polynomials a term is a distinct part of an algebraic expression (4 or more)
like terms contain the same variable and exponents
unlike terms different variable and exponents
monomial one term
bionomial 2 terms
trinomial 3 terms
parenthesis not included          ()
brackets included       [ ]
set a collection of distinct elements
subsets contains elements from a set
roster form one way tow rite a set list the elements with braces { }
set builder notation describes set properties
null set written as {}
disjoin sets no elements in common
union of sets all elements of the sets
universal set largest set to work with
intersection of sets elements that are in both sets
standard form polynomial in order of decreasing exponents