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22 terms

Solving Equations

Algebra2 LB5
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Point Slope Equation
y-y1=m(x-x1)
Point Slope Standard Form
Ax+Bx=C
Vertex
(-b/m,c)
Relation
Set of pairs of input and output values
Domain
Set of inputs (x- value)
Range
Set of outputs (y-value)
Mapping Diagram
Links domain to range
Function
Relation in which one element of domain is paired with EXACTLY one element in range
Vertical Line Test
If passes 2 points on graph=> NOT a function
Coinciding Lines
Same Line ( All Real )
Inconsistent Lines
ParallelI
Independent Lines
Have one solution; Different slopes
Subsitution
Solving for one variable in one equation & plugging it into the second
Elimination- Linear Combination
Add equations together to eliminate a variable
Quadratic Function
f(x)=ax2+bx+c
Linear Function
f(x)=x+c
Vertex of a Quadratic Function
(-b/2a, Plug it in)
Vertex Form of a Quadratic Function
y=a(x-h)2+k
Difference of 2 squares
A2-B2=(A-B)(A+B)
Difference of 2 Cubes
A3-B3=(A-B)(A2+AB+B2)
Sum of 2 Cubes
A3+B3=(A+B)(A2-AB+B2)
Discriminant
(Square root of) b2-4ac