The graph of a system of inequalities is shown.
Create the system of inequalities that is represented by the graph.
The graph of a function is shown.
What is the maximum value of the function?
Sarah sells two types of wristbands, rope or beaded. She charges more for beaded wristbands than for rope wristbands. The amount of money, in dollars, that she collects from selling x wristbands of one type and y wristbands of the other type can be modeled by the expression 5x + 8y.
What does the variable y represent in this situation?
A.) the number of rope wristbands sold
B.) the number of beaded wristbands sold
C.) the selling price of one rope wristband
D.) the selling price of one beaded wristband
The graph of a function is shown:
What is the domain of the function?
A.) x ≥ -4
B.) x ≥ -2
C.) x ≥ 0
D.) x ≥ 1
The manager of a company uses the function shown to model its profit based on the price of a product in dollars, x.
f(x) = (x - 2)(53 - x)
A total of 300 children and adults attended a school play. There were 21 times as many children in attendance as there
This situation is modeled by the given system of equations, where a represents the number of adults and c represents the
number of children.
c = 21a
a + c = 330
How many children attended the play?
A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by
f(x) = 625 - 16x².
Select all the correct interpretations of the coordinates of the point at the maximum
of the function f(x).
A.) the time it takes the stick to hit the ground
B.) the time when the stick is at its highest point
C.) the height of the stick when it is dropped from the top of Miami Tower
D.) the time when the stick is dropped from the top of Miami Tower
E.) the distance of the stick from Miami Tower when it hits the ground
Which of the following represents the factors of the expression x² - 3x - 40 ?
A.) (x - 8)(x + 5)
B.) (x - 7)(x + 4)
C.) (x + 10)(x - 4)
D.) (x + 6)(x - 9)
Using the equation P = 2R + 2S, write a formula that expresses R as a function of P and S.
The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coefficients.
If g(x) = k∙f(x), what is the value of k?
Algebra 1 State Test Practice Archives