alegbra 2

evaluate

substitute a number for each variable in the expression. then simplify using the order of operations.

term

a number, a variable, or the product of a number and one or more variable

coefficient

the numerical factor in term ( the number that is usually in front of the term )

constant term

a. quantity whose value does not change

like terms

have the same variables raised to the same powers

numerical expression

a mathematical phrase that contains number and operation symbols

algebraic expression

a mathematical phrase that contains one or more variables

constant

quantities whose values do not change

variable

a symbol, usually a letter, that represents one or more numbers

objective

to graph and order real numbers, to identify properties of real numbers

opposite

the additive inverse of any number a is -a. the sum of opposites is zero, the additive identity

reciprocal

the multiplicate inverse of any nonzero number a is 1/a. the product of reciprocals is 1, the multiplicative identity.

natural numbers

1,2,3,…. ( does not include 0 )

whole numbers

0,1,2,3,…. ( counting numbers including 0 )

integers

-3,-2,-1, 0, 1, 2, 3,… ( positive and negative whole number)

rational numbers

can be written as a fraction

irrational numbers

numbers whose decimal part does not terminate or repeat ex. pie

real numbers

all rational and irrational numbers

closure

addition :a + b is a real number, multiplication: ab is a real number

commutative

addition :a + b = b + a, multiplication: ab=ba

associative

addition :(a + b) + c = a + (b+c), multiplication (ab)c = a(bc)

identity

addition :there is a number 0 such that, ( 3 + 0 = 3), multiplication: there is a number 1 such that ( 3 x 1 = 3)

inverse

addition: a + (-a) = 0, multiplication: a x 1/a = 1, a = 0

distrubutive

a(b+c) = ab + ac