# Algebra II

## 46 terms

### Absolute Value

a numerical value regardless of its sign

### Empty Set

a set that contains no numbers

### Equation

a mathematical statement that two expressions are equal

### Formula

a standard procedure for solving a class of mathematical problems

### Intersection

a point where lines intersect

### Irrational Number

a real number that cannot be expressed as a rational number

### Order of operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction

### Rational Number

an integer or a fraction

### Real Number

any rational or irrational number

### Solution

the answer to a problem

### Substitution

replacing a variable with a number

### Union

the act of making or becoming a single unit

### Variable

a quantity that can assume any of a set of values

### Cartesian Coordinate Plane

a plane divided into four quadrants by the intersection of the x-axis and the y-axis at the origin

### Continuous Function

a function that can be graphed with a line or a smooth curve

### Dependent Variable

a variable in a logical or mathematical expression whose value depends in the independent variable

### Domain

the set of values of the independent variable for which a function is defined

### Family of Graphs

graphs and equations of graphs that have at least one characteristic in common

### Function

a mathematical relation such that each element of one set is associated with at least one element of another set

f(x)=x

### Independent Variable

a variable whose values are independent of changes in the values of other variables

### Linear Equation

a polynomial equation of the first degree

### Mapping

a function such that for every element of one set there is a unique element of another set

### Parallel lines

Coplanar lines that do not intersect

### Perpendicular lines

two lines that intersect to form right angles

### Ordered Pair

A pair of numbers, (x, y), that indicate the position of a point on a Cartesian plane.

### Origin

the point of intersection of coordinate axes

### Parent Graph

the simplest of the graphs in a family of graphs

### Point Slope Form

y-y1 = m(x-x1), where m is the slope and (x1,y1) is the point the line is passing through.

four regions into which a coordinate plane is divided by the x-axis and the y-axis

### Range

The y-coordinates of the set of points on a graph. Also, the y-coordinates of a given set of ordered pairs. The range is the output in a function or a relation.

### Relation

a set of ordered pairs

### Slope

the property possessed by a line or surface that departs from the horizontal

### Slope Intercept form

y=mx+b, where m is the slope and b is the y-intercept of the line.

### Standard form

Numbers written without exponents

### Vertical Line Test

A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation

### X-Axis

the horizontal line on a graph

### X- Intercept

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

### Y-Axis

the vertical line on a graph

### Y-Intercept

where the line crosses the y axis

### Consistent System

system of equations that has at least one solution

### Dependent System

a system of equations that has infinitely many solutions

### Inconsistent System

parallel lines, no solution

### Independent System

a system of equations that has exactly one solution

### System of Equations

a set of equations with the same variables

### System of Inequalities

set of two or more inequalities with two or more variables