Functions
solving equations
Standard Form
Vertex and Factored Form
System of Equations
100
The value of f(20) for the function f(x)=25x+400
What is f(20) = 25(20)+400= 500+400= f(x) = 900
100
This is the answer AND the step(s) to solve for the x value for x + 51 = -43
What is subtract 51 from both sides to get x= -94
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
f(3) = -9 written as an ordered pair.
What is (3, -9)
200
These are the steps to solve for 2x - 4 = 20
What is add 4 to both sides, then divide by 2. x= 12
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: m(x) = x ^ 2 - 7 find m(5).
What is m(5)=18
300
This is the equation for "Judy will be 26 years old in 11 years. How old is she now?"
What is x + 11 = 26 OR 26 - x = 11. x = 15
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 function I use to and the output for g(-4). f(x) = 3x + 4, h(x) = -3x - 4, g(x) = -6x - 3
What is g(x) = -6x - 3. g(-4) = 21
400
This is how you evaluate xy+z, when x = 8, y = -2, and z = 7
What is (8)(-2) + (7) = -16+7 = 9
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 however you like, just explain why).
What is Graphically: a vertical line (or a graph that does not pass the vertical line test) Table: multiple outputs for one input.
500
This is how do you evaluate: "x cubed times 4 minus 15" if x = 2.
What is 4(2*2*2) - 15 = 32-15 = 17
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)
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