Show:
Functions
Linear Functions
Standard Form
Vertex and Factored Form
System of Equations
100
The value of f(x) when x=20 for the function f(x)=25x+400
What is f(20) = 25(20)+400= 500+400= f(x) = 900
100
This is slope-intercept form
What is y=mx+b
100
The equation used to find the x-intercepts from standard form?
What is the quadratic formula: x = -b +or - the square root of b squared minus 4ac; both over 2a.
100
The vertex from (x-3)^2 -7
What is (3,-7)
100
These are the 3 methods to solve a system of equations.
What is 1.Graphing, 2. Substitution, 3. Elimination
200
the value of x when k(x)=-7, for the function k(x) = .5x-8
What is -7=.5x-8, x = 2
200
These are 2 other names for slope:
What is rise over run, OR constant rate of change, OR steepness, OR change in y over the change in x, ...
200
This is how you find the vertex from x^2 +8x+19=0
What is x=-b/2a, y=(-b/2a)^2 + 8(-b/2a) + 19 (-4, 3)
200
This is the vertex form with (6, -4) as it's vertex
What is (x-6)^2 -4
200
This is how a solution to a system is represented.
What is (x,y)
300
This is symbolic representation for the given table: x---m(x) 0---0 1--1.20 2--2.40 3--3.60
What is m(x)=1.20x+0
300
This is the slope of the following two points, (4,-6) and (0, -8).
What is 1/2
300
This is how you convert x^2+8x+19=0 into completed square form.
What is (x+4)^2 +3, because the vertex is (-4,3)
300
This is the other name for Vertex Form.
What is Completed Square Form
300
This is the solution to y=2x+3 AND y=-x-6
What is (-3,-3)
400
This is the completed table for the following function: x--f(x) f(x)=2x^2 + 3 -2--?? -1--?? 0--?? 1--??
What is 11, 5, 3, 5
400
This is the symbolic representation for the weekly expenses of Mari's Doggy Daycare business. Her expenses are $35 per week and she charges customers a week fee of $10 per dog.
What is E(x) = 10x-35. She pays $35 a week, and she earns $10 per dog.
400
The factored form of this function x^2-10x-24=f(x)
What is f(x)=(x-12)(x+2), because you multiply to get -24 and add to get -10.
400
This is standard form of the following function: m(x) = (x+6)(x-2).
What is m(x) = x^2 +4x - 12
400
This is the definition of Additive Inverse and is used for this method. (Note: this has 2 parts)
What is "what you add to get to zero" and Elimination.
500
This is an example of a non-function (you may show it graphically, symbolically, or with a table).
What is Graphically: a vertical line (or a graph that does not pass the vertical line test), Symbolically: x=3, Table: multiple outputs for one input.
500
What is the slope-intercept form of the line with two points (-2, -4) AND (1, 5)? (show your work)
What is y=3x+2
500
Identify the zeros of the following function: g(x)=x^2 -12x+32 Show your work!
What is 0=(x-8)(x-4), so x-8=0; AND x-4=0. Which means x={8,4}
500
This is the process to find the zero's from this function in factored form: a(x) = (2x-1)(x+3)
What is 0=(2x-1)(x+3) 2x-1=0 x+3=0 2x=1 x=-3 x=1/2 x={.5,-3}
500
This is the solution and it's process to solve the following system of equations: x=3y+12 2x+5y=-20
What is 2(3y+12) +5y=-20 distribute: 6y+24+5y=-20 CLT: 11y+24=-20 2-step: 11y=-44, y=-4 x=3(-4) +12= -12+12=0 (0,-4)