Acc. Alg 2 FR Math Finals Formulas
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59 terms
Terms | Definitions |
|---|---|
 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 |
| quadratic formula | watch that lame rap video, it works! |
| simplify | put is simplest form |
| evaluate | substitute AND simplify |
| variable | e.g x |
| value | whats worth |
| reflexive property | a=a it is what it is |
| symmetric property | a=b, then b=a |
| transitive property | a=b, b=c, then a=c |
| multiplicative property | 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 |
| natural #s | 1,2,3...maybe 0 |
| graphing inequalities (open circle, infinite) | soft, parentheses |
| graphing inequalities (closed circle, set number) | 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) |
| point-slope form | y-y{2}=m(x-x{2}) |
| slope-int form | mx+b=y |
| parallels have... | 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) |
| multiplying matrices | 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= |
| inconsistent | 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 |
| > or < underlined (graphing) | solid line |
| > or < (graphing) | dotted line |
| y>x | slope of 1/1, through 0 |
| y>1 | horizontal line |
| x>1 | vertical line |
| feasible region | shaded area |
| vertex | intersecting points |
| finding min and max | plug in vertices in objective function |
| objective function | f(x,y)=x + y |
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