A fashion buyer for a large retail store purchased 315 items directly from the  manufacturer for a total of $6000. Some of the items were dresses purchased for $25 each, and the rest were shirts purchased for $10 each. How many more dresses  than shirts did the buyer purchase?

If x1, what is the value of ?

When 9 is increased by 3x, the result is greater than 36, What is the least possible integer value for x?

Thomas is making a sign in the shape of a regular hexagon with 4-inch sides, which he will cut out from a rectangular sheet of metal, as shown in the figure above. What is the sum of the areas of the four triangles that will be removed from the rectangle?

The figure above shows that the shaded triangular region with a hypotenuse of 5 centimeters (cm) has been removed from a rectangular tile with dimensions x cm by y cm. Of the following, which best approximates the area, in square centimeters, of the tile before the piece was removed?

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?

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 , what is 2x in the 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 (mm Hg), over the course of 5 hours during the 24-hour time period? (Note: 1,013 mb = 760 mm Hg)

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?

A collection of more than one inequality in one or more variables is known as a system of inequalities. Systems of inequalities are helpful when a problem's potential solutions are subject to several constraints, and a variety of potential solutions are required.
¶An infinite number of ordered pair solutions for inequality in the set, each specified by a region in a rectangular coordinate plane. When two inequalities are considered, the collection of simultaneously ordered pair solutions is defined by the intersection of these sets.
¶Systems of inequalities can be solved slightly differently than systems of linear equations because the substitution and elimination methods are not applied. Only the limitations of the inequality signs, ≤, and ≥, are responsible for this.

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

Nutritional Information for 1-Ounce Servings of Seeds and Nuts

Seed or nut	Calories	Total fat (grams)	Protein (grams)
Pecan	198	20.2	3.0
Pistachio	80	6.5	3.0
Pumpkin	159	13.9	8.5
Sunflower	166	14.6	5.9
Walnut	185	18.5	4.3

Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the  table. Of the following, which best approximates the average (arithmetic mean)  number of calories per bag? 
(1 pound = 16 ounces)

Nutritional Information for 1-Ounce Servings of Seeds and Nuts

Seed or nut	Calories	Total fat (grams)	Protein (grams)
Pecan	198	20.2	3.0
Pistachio	80	6.5	3.0
Pumpkin	159	13.9	8.5
Sunflower	166	14.6	5.9
Walnut	185	18.5	4.3

How many more grams of protein are in one pound of pumpkin seeds than are in  one pound of pistachios? (1 pound = 16 ounces)

Which of the following values of x is a solution to the equation above?

A school district is forming a committee to discuss plans for the construction of a  new high school. Of those invited to join the committee, 15% are parents of  students, 45% are teachers from the current high school, 25% are school and  district administrators, and the remaining 6 individuals are students. How many  more teachers were invited to join the committee than school and district  administrators?

	Masses (kilograms)
Andrew	2.4	2.5	3.6	3.1	2.5	2.7
Maria	x	3.1	2.7	2.9	3.3	2.8

Andrew and Maria each collected six rocks, and the masses of the rocks are  shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is  the value of x ?