# Algebra Terms

## 39 terms

### Absolute Value

a number's distance from zero on a number line

### domain

set of all possible x values

### range

set of all possible y values

### coordinate plane

plane used to graph with 4 quadrants

### imaginary numbers

unreal numbers, examples include the square root of any negative number

### complex numbers

includes all real numbers and imaginary numbers

### rational

any number that can be written as a ratio of 2 integers

(0,1,2,3,...)

### integers

whole numbers and their opposites (...-1,0,1,...)

### natural numbers

(1,2,3,...)

a number's opposite (the number equidistant from zero on number line) when added with the number will equal 0

### multiplicative inverse

a number's reciprocal, when multiplied together equals 1

### commutative property

property says it's okay to move numbers around on the same side of equation

### associative property

property says it's ok to group numbers on the same side of equation

### identity

a number plus zero or a number times one

property says that a number and its additive inverse is zero

### property of multiplicative inverse

property says that a number times it multiplicative inverse is 1

### linear

when all parts of the equation are raised only to the first power

standard form

### y=mx+b

slope intercept form

### slope

(y2-y1) / (x2-x1)

### no slope

vertical lines have__________

### zero slope

horizontal lines have _____________

### parallel lines

coplanar lines that never intersect and have the same slope

### perpendicular lines

lines that intersect at a 90 degree angle, the slope of one is the negative reciprocal of the other

point-slope form

### function

a relation in which every member of the domain is matched with exactly one value in the range, when doing a vertical line test, it should only intersect the line once

### inconsistent

system that has no solution and is parallel

### dependent

system that has infinite solutions and is coinciding; when one variable depends on the other

### row by column

dimensions of a matrix

### consistent

any system that has a solution

### binomial

has just two terms

### monomial

has just one term

### trinomial

has just three terms

### polynomial

has four or more terms

### rational expression

a ratio of polynomials

### direct

y=kx; as one variable increases, the other does as well

### inverse

y=k/x; as one variable increases, the other decreases