# Algebra II terms

## 66 terms

### relation

any set of ordered pairs of x,y values

### domain

set of all x values

### opposite reciprocals

slopes of perpindicular lines

### f(g(x))

composition of a function

### 0

slope of a horizontal line

### undefined

slope of a vertical line

### greatest integer function

greatest integer that is less than or equal to x

### positive

rising lines have___slopes

ratio of the rise of a road to every 100 feet of distance

### x intercept

x coordinate of the point where the graph crosses the x axis

### y intercept

y coordinate of the point where the graph crosses the y axis

### vertical line test

used to determine whether a graph of an equation is a relation or a function

### functions

relations in which each member of the domain is matched with exactly each member of the range

### inconsistent

what is it called when a system has no solutions

### Linear programming theorem

the maximum and or minimum production points occur at the vertices (corner points) of the feasible region

### feasible region

region that represents all possible points in a linear programming problem

### dependent

what is it called when a system has infinite number of solutions

### matrix

organized table of numbers that is always represented by a capital letter

### dimension of a matrix

row by column
tells the number of places in a matrix

all counting

### whole numbers

counting numbers and 0

### integers

whole numbers and their opposites

### rationals

ratio of two integers

### irrational numbers

cannot be expressed as a ratio

### real numbers

all numbers on the number line including pi and fractions

### absolute value

a number's distance from 0 (always positive)

### variable

an unkown number represented by a letter

### constant

number not attached to a variable

### coefficient

number attached to the variable

all numbers

### exponent

value that tells you how many times to multiply the base

### base

the number affected by the exponent

### compound inequality

conjunctions and disjunctions
have two inequalities

### conjunction

(and)
compound inequality with an intersection

### disjunction

(or)
compound inequality that doesn't have an intersection

### inequality

mathematical sentences that contain inequality symbols (< >)

### distance between two points on the number line

equals the absolute value of the difference of the coordinates

### union

(U) connects a conjunction

Ax+By= C

y=mx+b

### consistent system

a system has at least one solution (intersecting/ perpindicular lines)

### dependent system

system with infinite solutions (overlapping lines)

### inconsistent system

a system that has no solutions (parallel lines)

### constraints

limitations in a linear programming problem
expressed as a system of inequalities

### objective quantity

profit or cost equation

### zero product property

a product is zero if and only if one of the factors are zero

### feasible region

the set of all possible production points under these limits

### coefficient matrix

the A matrix in a matrix equation

### rational expression

quotient of two polynomials

y-y1=m(x-x1)

### LCD

least common denominator

### complex rational expressions

expression that has a rational expression in the numerator, denominator, or both

### rational equation

equation that contains one or more rational expressions

### direct variation

as one value goes up so does the other
y=kx

### inverse variation

as one value goes up the other goes down
y=k/y

y=kxz

a number

### unknown matrix

the X matrix in a matrix equation

### constant matrix

the B matrix in a matrix equation

1st degree

2nd degree

3rd degree

1 term

2 terms

3 terms

4 terms or more