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In the xy -plane, ten points are selected from the line with equation y = 0.8x - 24. If the range of the y coordinates of the ten points is 7, what is the range of the x-coordinates of the ten points?


On the number line, Z is the midpoint of line segment XY.

Quantity A

The coordinate of Z

Quantity B

2.3


The law in a certain township specifies that a room for an indoor public event must have at least 40 square feet of floor space for each 5 people attending the event. If a certain public event is to be held in a rectangular room whose floor measures 40 feet by 50 feet, then according to township law, what is the maximum number of people permitted to attend?
x > -1

Quantity A

$$\frac{x^{3}}{9}$$

Quantity B

$$(\frac{x}{9})^{3}$$


According to a survey of 300 college students, 40 percent had students loans and 25 percent had scholarships. If 55 percent of the students surveyed had neither student loans nor scholarships, how many of the students had both student loans and scholarships?
In a barrel, there are in ping-pong balls labeled with consecutive integers from 1 to n, where n is an odd integer greater than 50. If a ball is to be randomly selected from the barrel, what is the probability that the ball selected will be a ball that is labeled with an odd integer?


If $$\frac{1}{2}$$ of the revenue from the sale of jazz recordings was from the sale of vocal jazz recordings, then revenue from vocal jazz recordings was approximately what fraction of revenue from all vocal recordings?
At the end of each business day, the owners of Stores X and Y calculate the total daily revenue received that day. For a five-business-day period, the average (arithmetic mean) total daily revenue was $6,000 for Store X and $5,000 for Store Y. Which of the following statements must be true?

Indicate all such statements.
n is the greatest integer for which $$252^{5}$$ is divisible by $$ 6^{n} $$.

Quantity A

n

Quantity B

10


If $$x^{2}$$=b and $$ y^{2}$$=q, where x and y are greater than 0, which of the following is equal to $$(x+y)^{2}$$?
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.

Quantity A

The average (arithmetic mean) of x+y and x-y

Quantity B

x




S equals the area of a square region (not shown) with sides of length 2x.

Quantity A

The area of the region enclosed by the pentagon shown

Quantity B

$$\frac{7}{2}S$$


x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

$$\frac{1}{x+y+z}$$


Which of the following is equal to $$\frac{1}{5}(30^{7})$$?
In the xy-plane, the point (t, t-1) lies on the line with equation y = $$ - \frac{1}{2}$$ x +$$\frac{1}{3}$$ . What is the value of t?

Give your answer as a fraction.
The area of a circle with radius c is less than the area of a square with sides of length kc. Which of the following could be the value of k?

Indicate all such values.
$$x$$ > 0

$$0.0625y=\frac{x}{4}(2.5)$$

Quantity A

$$x$$

Quantity B

$$y$$




PQ is a diameter of the circle.

Quantity A

The length of arc QRS

Quantity B

The length of arc STP




The points indicated on rectangle ABCD above are equally spaced, and each of the lines k, l, and m passes through two of the points. Which of the lines, taken individually, divide(s) rectangular region ABCD into two regions that have areas in the ratio of 2 to 1?

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