Applications of Algebra

Question 1 Multiple Choice (Single Answer)

A farmer has 120 acres of land to plant corn and soybeans. If he plants corn on (x) acres and soybeans on (y) acres, which of the following equations represents the total area used for planting?

$x + y = 120$
$x - y = 120$
$x * y = 120$
$x / y = 120$

Question 2 Multiple Choice (Single Answer)

A company sells a product for ($x) per unit. If the company sells (y) units in a month, what is the total revenue generated?

$xy$
$x + y$
$x - y$
$x / y$

Question 3 Multiple Choice (Single Answer)

A train leaves a station at 10:00 AM and travels at a speed of 60 miles per hour. Another train leaves the same station at 11:00 AM and travels in the same direction at a speed of 75 miles per hour. At what time will the second train overtake the first train?

12:00 PM
12:30 PM
1:00 PM
1:30 PM

Question 4 Multiple Choice (Single Answer)

A rectangular room is 12 feet long and 8 feet wide. What is the area of the room in square feet?

96
104
112
120

Question 5 Multiple Choice (Single Answer)

A company wants to produce (x) units of a product at a cost of ($y) per unit. If the company has a budget of ($B), what is the maximum number of units it can produce?

$B/x$
$B/y$
$x/B$
$y/B$

Question 6 Multiple Choice (Single Answer)

A store sells a shirt for ($20) and a pair of pants for ($30). If a customer buys (x) shirts and (y) pairs of pants, what is the total cost of the purchase?

$20x + 30y$
$20x - 30y$
$30x + 20y$
$30x - 20y$

Question 7 Multiple Choice (Single Answer)

A company's profit in thousands of dollars is given by the function (P(x) = -2x^2 + 12x - 10), where (x) is the number of units sold. How many units must the company sell to break even (i.e., to have zero profit)?

2
3
4
5

Question 8 Multiple Choice (Single Answer)

A farmer has 100 acres of land to plant corn, soybeans, and wheat. If he plants (x) acres of corn, (y) acres of soybeans, and (z) acres of wheat, which of the following equations represents the total area used for planting?

$x + y + z = 100$
$x - y + z = 100$
$x * y * z = 100$
$x / y / z = 100$

Question 9 Multiple Choice (Single Answer)

A company's revenue in millions of dollars is given by the function (R(x) = 5x^2 - 20x + 30), where (x) is the number of units sold. How many units must the company sell to generate ($10) million in revenue?

1
2
3
4

Question 10 Multiple Choice (Single Answer)

A store sells a shirt for ($20) and a pair of pants for ($30). If the store sells (x) shirts and (y) pairs of pants in a month, what is the total revenue generated from the sale of shirts and pants?

$20x + 30y$
$20x - 30y$
$30x + 20y$
$30x - 20y$

Question 11 Multiple Choice (Single Answer)

A company's profit in thousands of dollars is given by the function (P(x) = -x^2 + 10x - 25), where (x) is the number of units sold. How many units must the company sell to maximize its profit?

2
3
4
5

Question 12 Multiple Choice (Single Answer)

A farmer has 100 acres of land to plant corn and soybeans. If he plants (x) acres of corn and (y) acres of soybeans, which of the following equations represents the total area used for planting?

$x + y = 100$
$x - y = 100$
$x * y = 100$
$x / y = 100$

Question 13 Multiple Choice (Single Answer)

A company's revenue in millions of dollars is given by the function (R(x) = 4x^2 - 16x + 20), where (x) is the number of units sold. How many units must the company sell to generate ($12) million in revenue?

1
2
3
4

Question 14 Multiple Choice (Single Answer)

A store sells a shirt for ($20) and a pair of pants for ($30). If the store sells (x) shirts and (y) pairs of pants in a month, what is the total cost of the purchase for a customer who buys (2) shirts and (1) pair of pants?

$20x + 30y$
$20x - 30y$
$30x + 20y$
$30x - 20y$

Applications of Algebra

Questions