The polynomial p⁴ + 4p³ + 3p² - 4p - 4 can be written as (p² - 1) (p + 2)². What are all of the roots of the polynomial?

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

A project coordinator at a banquet hall is given the task of arranging seating for an awards ceremony. The figure above shows the first three possible arrangements of tables and the maximum number of seats in each arrangement. If the number of seats in each successive arrangement is increased by 6 over the preceding arrangement, which of the following represents the maximum number of seats around n tables?

If 2 = a, what is 2x in terms of a ?

During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )

Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?

Tara rode her bicycle along a straight road from her home to a restaurant and ate lunch. She then continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?

The connection length between the two points of the line segment is used to measure the distance between them. The length of the line segment, the shortest distance between a point and a line, is the separation between them.
¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.

A greenhouse owner purchases fertilizer in 60-gallon drums. The fertilizer is mixed with water to make several batches of solution. Each batch of solution is made by mixing 3 quarts of fertilizer with water. What is the maximum number of batches of solution that can be made from one 60 -gallon drum of fertilizer? (1 gallon = 4 quarts)

A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

Which of the following is the best interpretation of the slope of the line of best fit shown for these data?

A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

Which of the following is closest to the equation of the line of best fit shown?

If x⁴ - y⁴ = -15 and x² - y² = -3, what is the value of x² + y² ?

Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?

At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?

A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?

Which of the following polynomials is equivalent to the expression above?

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage, for how many miles of driving was Juliet charged? (Assume there is no tax.)