Linear Functions
Evaluating Functions
Inverse Functions
Solving Quadratics
Quadratic Functions
100
Mrs. Greenway is filling her pool for the summer. She calls the local water delivery company to find out what it will cost. She finds out that there is a one-time delivery fee of $125 and is charged $0.05 per gallon of water. Write an equation that represents this situation.
y=0.05x+125
100
f(7) =13
100
Express the following function in terms of k:
y=7k-11
k=(y+11)/7
100
What are all the values of x that satisfy the equation
(x+3)(4x-5)(2x+7)=0
{-7/2, -3, 5/4}
100
Write an equation that describes the graph below.
y=(x-4)^2-3
200
The function
h(x)=15x+150
models the total price, in dollars, for streaming music. The service charges a one-time start up fee as well as a monthly fee. How much is the streaming service per month? What is the start-up fee?
$15 per month
$150 start up fee
200
f(-8)=84
200
Express the following function in terms of n.
y=(-16+n)/4
n=4y+16
200
What is the product of all values of x that satisfy the equation (x+2)(3x-5)(5x-1)=0 ?
-2/3
200
Write an equation that represents the graph below.
y=-(x-1)^2+2
300
The graph of function f is shown in the coordinate plane. Write a function that could define f.
y=-1/3x+3
300
The function, m(x), models the total price, in dollars, for renting a kayak from a local sea and surf shop. The rental fee cost $7 per hour plus an additional $20 charge for all of the equipment (paddle, helmet, and life jacket). What does the statement m(5)=55 mean in this context?
It will cost $55 to rent a kayak for 5 hours.
300
If function g is defined by g(x)=4x+7 what is the inverse of function g?
x=(g(x)-7)/4
300
In the equation below, a, b, and c are constants. If the equation is true for all values of x, what is the value of a+b+c?
x(2x+3)+4(x+1)=ax^2+bx+c
13
300
Write an equation that models the graph below.
y=-(x+4)^2+3
400
The graph of function f is shown on the coordinate plane below. Write a function that could define f.
y=2x+5
400
The function g is defined by, g(x)=-4x+10 . For what value of x is g(x)=-38 ?
x=12
400
Express the following function in terms of t.
f(t)=4t^2-13
t=sqrt((f(t)+13)/4)
400
Write an expression in standard form that is equivalent to
(3x-5)(-4x+2)
-12x^2+26x-10
400
Write an equation that models the graph below.
y=(x-3)^2+1
500
Molly is throwing a pool party. She went to the store and bought x gallons of ice cream for $5.45 per gallon and y boxes of ice cream cones for $3.28 per box. Write a function that would model this scenario if Molly's total cost for those items was $47.18
5.45x+3.28y=47.18
500
The functions h and g are defined by h(x)=5x^2-8x and
g(x)=3x-4x^2
. For what value of x does
h(x) + g(x)=14
{-2,7}
500
A box falling off of a shelf in a warehouse is modeled by the following equation: h(t)=-16t^2+25 . What is the equation for the inverse of the function in terms of t?
t=sqrt(h(t)-25)/-16
500
When the given expression x^2-7x-18 is rewritten in the form (x-9)(x+n), where n is a constant, what is the value of n?
n=2
500
Write an equation that represents the graph below.
y=1/2(x-4)^2-2