# Acc. Alg 2 FR Math Finals Formulas

## 59 terms · Helps with finals' formulas (still working on it)

### relation

set of ordered pairs (input and output)

### domain

set of all FIRST coordinates of the ordered pairs e.g. x (x,y)(input value, abscissa)

### range

set of all SECOND coordinates of the ordered pairs e.g. y (x,y)(output value, ordinate)

### domain (graphing terms)

"points" from side to side

### range (graphing terms)

"points" from BOTTOM to TOP

watch that lame rap video, it works!

### simplify

put is simplest form

### evaluate

substitute AND simplify

e.g x

whats worth

### reflexive property

a=a it is what it is

a=b, then b=a

### transitive property

a=b, b=c, then a=c

a=b, then ac=bc

### commutative property

change of order a+b+c=a+c+b

### associative property

change of grouping a+(b+c)=(a+b)+c

### identity property

original status a+0=a, ax1=a

### inverse property

undoes operation a+(-a)=0

### closure property

# set (2,3) in x+1=y, 2+1=3

### isolating absolute value

[2x+3]=9, [2x+3]=-9 write it both ways

### FOIL

solve for (3x-4)(x+5)

### extraneous solution

correct result, but doesn't work in equation

### element

set might require positive integers, natural #s, positive reals, etc.

### integer

no fraction or decimal

1,2,3...maybe 0

### graphing inequalities (open circle, infinite)

soft, parentheses

hard, brackets

### compound inequality

2 or more inequalities combined conjuction (both are true) -9<-4x-5<3

### solving absolute value inequalities

if IxI>5 then x>5 or x<-5

### function

a relation in which each element of the domain is paired with one element in the range (no repeated x, however y can repeat)

### linear function

function whose graph is a line

### linear equation

function in mx+b=y form whose graph is a line

### dependant variable

y-value, because its value depends on the x-value

### independant value

x-value because its value is given

### standard form of linear equation

Ax+By=C (letters are real, not zero)

y-y{2}=m(x-x{2})

mx+b=y

same slopes

### perpendiculars have...

opposite, reciprocal slopes

### matrix

rectangular array of #s written w/brackets (classified by # of numbers in row and column e.g. 3x3)

ROW x COLUMN

### linear combination (elimination)

change one equation with LCM (i think) and add up, cancelling one variable out

### substitution

second step to linear combo. fill in variable for whatever you solved for OR change equation to y= or x=

no solution

### consistent

one or more solutions

### dependent

relations have all points in common e.g same line

### independent

relations do not have all points in common e.g diff. lines that may intersect

### 3 by 3's (& 4 by 4's)

solve using every equation (use linear combination)

### graphing y<1

shading goes down, or left

### graphing y>1

shading goes up, or right

solid line

dotted line

### y>x

slope of 1/1, through 0

horizontal line

vertical line