Systems of Equations
What is a system of equations?
Two or more equations graphed or considered together.
What is a linear function?
A line.
What is an extrema?
A minimum or maximum
Factor by GCF: 18x²y³+9x³y⁵
9x²y³(2+xy²)
What are the 3 methods to solving a system of equations?
Graphing, Substitution, Elimination.
What is the equation of a linear function?
y=mx=b
What is a parent function?
The simplest of the functions in a family
Factor by Grouping: 3n²+9n+2n+6
3n2+11n+6
x+y=2
3x-y=2
(0,2)
Find the equation of a line whose slope is 3/2 that passes through (6,-4)
What is a function family?
A group of functions with similar characteristics
Factor By DOTS: 9x2-25
(3x+5)(3x-5)
-x-4y=1
2x+y=5
(3,-1)
Find the equation of a line that is parallel to y=4x+5 that passes through (3,6)
y=4x-6
f(x)=3x-6
at x=3 and x=0
(3,3)(0,-6)
Factor by Trinomial Factoring: 6x2+11x-10
(2x+5)(3x-2)
x+y+6
y=3x-2
(2,4)
Find the coordinates of: 5y=3x+5
(0,5)(-5/3,0)
f(x)=-2x+1
at x=-1 and x=-5
(-5,11)(-1,3)
Factoring Special Products: 4+4b+b2
(2+b)2