A company uses the given quadratic function to model its profits, in thousands of dollars, where x is the number of years since 2006.
f(x) = -18x² + 202.61x + 1282.46
Based on the model, what is f(14) in thousands of dollars?
Solve the equation 40 = x² - 3x
A descending hot air balloon moves downward at a steady rate. The altitude, in feet, of the hot air balloon x minutes after it begins the descent can be modeled by the given expression:
-375x + 1500
What does the -375 in the expression represent in this context?
A.) the rate of descent of the hot air balloon
B.) the altitude of the hot air balloon after x minutes
C.) the total descent of the hot air balloon after x minutes
D.) the altitude of the hot air balloon before it begins descending
A company makes rectangular tablet screens. The company’s new model will have the following properties:
Create an equation that can be used to find the height, x, in centimeters, of the new model’s screen.
An equation is given.
x² + 9 = 6x
What is one solution to the equation?
Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of
bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that Madison spends on fruit.
Sam ran a distance represented by the expression 2x + 12. Lee ran a distance represented by the expression 6x + 36. Which describes how the distance that Lee ran compares to the distance that Sam ran?
A.) The distance that Lee ran is 2 times the distance that Sam ran
B.) The distance that Lee ran is 3 times the distance that Sam ran
C.) The distance that Lee ran is 4 times the distance that Sam ran
D.) The distance that Lee ran is 6 times the distance that Sam ran
A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters. Which of the following simplified expressions represents the area of the floor?
A.) 2x² + 9x - 18
B.) 2x² + 15x - 18
C.) x² + 5x - 18
D.) x² + 9x + 18
The total cost (c) in dollars of renting a sailboat for n days is given by the equation
c = 120 + 60n
If the total cost was $360, for how many days was the sailboat rented?
Which of the following represents the linear equation 2x = y + 3 in slope-intercept form?
A.) 2x + y = 3
B.) 2x - y = 3
C.) y = 2x - 3
D.) y = 2x + 3
Algebra 1 State Test Practice Archives