algebra 2
Terms
undefined, object
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 subtracting integers

to subtract a number, add its additive inverse, for any numbers a and b,
ab=a+(b)  domain
 the set of first numbers of the ordered pairs
 function
 a relationship between input and output
 line plot
 numerical data displayed on a number line
 commutative property

for any numbers a and b,
a + b = b + a and
a x b = b x a  simplest form
 an expression having no like terms and no parentheses
 equation
 a sentence that contains an equal sign =
 comparison property

for any two numbers a and b, exactly one of the following sentences is true
a<b a=b a>b  venn diagrams
 figures used to represent sets of numbers
 coefficient
 the numerical factor (ex. 2b, the coefficient is 2)
 base
 the variable x is the base
 data
 numerical information
 verbal expression
 the translation of an equation in to words (ex. three plus two)
 order of operations
 "please excuse my dear aunt sally", parentheses, exponents, multiply, divide, add, subtract
 product
 the result of the quantities being multiplied (ex. 3 x 2 = 6, 6 is the product)
 algebraic expression
 consists of one or more numbers and variables along with one or more arithmetic operations (ex. x2)
 variables
 symbols that are used to represent unspecified numbers (ex. x and y are variables)
 factors

quantities being multiplied
(ex. 3 x 2, 3 and 2 are factors)  exponent
 the exponent indicates the number of times the base is used as a factor
 power
 an expression of the form x to the nth is power
 sequence
 a set of numbers in a specific order
 associative property

for any numbers a, b, and c,
(a+b)+c=a+(b=) and
(ab)c=a(bc)  element
 each object or number in a set
 statistics
 methods of collecting, organizing and interpreting data
 ordered pairs
 used to locate points on a graph
 relation
 set of ordered pairs
 replacement set
 a set of numbers from which replacements for a variable may be chosen
 stem and leaf plot
 the greatest place value is used to form the stems, the next greatest place value is used to form the leaves
 negative number
 the points to the left of zero on a number line
 origin
 the ordered pair, (0,0)
 open sentences

mathematical statements with one or more variables or unknown numbers
 range
 the set of second numbers of the ordered pairs
 evaluate
 means to find the value
 additive inverse property

for every number a,
a=(a)=0  solution
 the replacement to solve an open sentence
 solving the open sentence
 finding a replacement for the variable that results in a true sentence
 integers
 a set of numbers
 multiplicative property of zero

for any number a,
a x 0 = 0  set
 a collection of objects or numbers
 comparing numbers on the number line
 if a and b represent any numbers and the graph of a is to the left of the graph of b, then a<b, if the graph of a is to the righ of the graph of b, then a>b
 inequality
 a sentence having the sign < or >
 solution set
 the set of all replacements for the variable that make the sentence true
 multiplicative identity property

for any number a,
a x 1 = 1 x a  coordinate
 the number that corresponds to a point on a number line
 graph
 to draw, or plot the points named
 additive identity property

for any number a,
a+0=0+a  terms
 the numbers in the sequence
 rational number
 a number that can be expressed in the form a/b, where a and b are integers and b is not eqal to 0
 matrix
 a rectangular arrangement of elements in rows and columns
 reflexive property of equality

for any number a.
a=a  symmetric property of equality

for any numbers a and b,
if a = b, then b = a  multiplicative inverse property
 for every nonzero number a/b, where a,b does not = 0, there is exactly one number b/a, such that a/b x b/a =1
 discrete mathematics
 deals with finite or discontinuous quantities
 transitive property of equality

for any numbers a, b and c,
if a = b and b = c, then a = c  comparison property for rational numbers

for any ration numbers a/b and c/d, with b>0 and d>0,
1. if a/b<c/d, then ad<bc
2. if ad<bc, then a/b<c/d  definition of absolute value
 the absolute value of a number is its distance from zero on a number line
 adding integers with the same sign
 add their absolute values, give the result the same sign as the integers
 substitution property of equality
 if a = b, then a may be replaced by b in any expression
 adding integers with different signs
 subtract the lesser absolute value from the greater absolute value, give the result of the same sign as the integer with the greater absolute value
 density property for rational numbers
 between every pair of distinct rational numbers, there are infinitely many rational numbers
 equivalent expressions
 3x + 8x and 11x are equivalent expressions
 distributive property

for any numbers a, b and c,
a(b+c)=ab+ac and (b+c)a=ba+ca
a(bc)=abac and (bc)a=baca  term
 a number, a variable or a product or quotient of numbers and variables (ex. 9y+3x+2 has three terms)
 like terms
 terms that contain the same variables, with corresponding variables having the same power