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64 Cards in this Set
 Front
 Back
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
