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 formula 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
These values are the domain and are represented by "this" type of " __put"
What are "in" put values?
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 definition of "real" numbers.
What is all numbers positive and negative, even decimals.
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 objective when you solve a system of equations.
What is "to determine the x and y value that make both equations true"
500
This is an example of a non-function (you may show it graphically, symbolically, or with a table).d
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 (0, -4) Substitution 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)