algebra 2 1-1 through 1-6

intersection

the graph of a compound inequality containing and

union

the graph of a compound inequality containing or

reflexive property of equality

a = a

1-5 set builder notation

a notation used to describe the members of a set

empty set

a set that does not contain any elements

distributive property

a(b + c) = ab + ac

Commutative Property of Multiplication/Addition

a + b = b + a a*b= b*a

Associative Property

(a+b)+c=a+(b+c)

multiplicative inverse

4/5(5/4)=1

formula

A mathematical relationship or rule expressed in symbols.

equation

A mathematical sentence that contains an equal sign

rational numbers(Q)

A number that can be written as a ratio [in the form a/b with b not equal to zero].

real numbers(R)

All numbers

open sentence

An equation that contains one or more variables and may be true or false depending on the value of it variable.

algebraic expressions

Expressions that contain at least one variable

Symmetric property of equality

If a = b, then b = a

interval notation

Including [] not including ()

order of operations

PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

absolute value

The distance a number is from zero on a number line

whole numbers (W)

The set of natural numbers and 0.

compound inequality

Two or more inequalities joined together by "and" or "or"

Additive Inverse

a + (-a) = 0

integers(Z)

all numbers on the number line(..., -3, -2, -1, 0, 1, 2, 3, ...)

extraneous solution

an apparent solution that must be rejected because it does not satisfy the original equation

solution

answer to an equation

natural numbers(N)

counting numbers (1,2,3...)

transitive property of equality

if a=b and b=c, then a=c

substitution property of equality

if a=b, then a can replace b in any expression

variables

letters used to represent an unknown value

infinity

limitless

irrational numbers(I)

numbers that cannot be expressed as terminating or repeating decimals, or as a rational number