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When 9 gallons of a solution that is 30 percent alcohol are mixed with 18 gallons of a solution that is x percent alcohol, the resulting mixture is 25 percent alcohol. Which of the following is closest to the value of x?
A certain triangle has sides of lengths 5, 12, and $$x$$. Which of the following could be the value of x?

Indicate all such values.
If $$x$$ is an integer, which of the following must be divisible by 2?


The diameter of the circle centered at O is $$d$$.

Quantity A

The perimeter of triangle AOB

Quantity B

$$\frac{5d}{3}$$


In the xy-plane, line $$n$$ has x-intercept $$h$$ and y-intercept $$t$$, where h and t are positive numbers. Which of the following points must lie on line $$n$$?

Indicate all such points.
In the xy-plane, which of the following best represents the graph of the equation $$2y-2=\frac{x}{2} - 3$$?

For the 3 numbers in a certain list, the average (arithmetic mean) and the median are equal to 20. If the greatest number in the list is 20 greater than the least number, what is the greatest number in the list?
$$n$$ is an integer between 100 and 200 such that when $$n$$ is divided by 9, the remainder is 4.

Quantity A

The number of possible values of $$n$$

Quantity B

11




On the number line above, the points with coordinates a, b, and c are in the order indicated. Which of the following must be true?


Equilateral triangle ABC is inscribed in a circle with center O and area 64π. What is the height of triangle ABC?
Of the 67 members of a certain club, 48 members enjoy sky diving and 27 members enjoy stock car racing. If all the members of the club enjoy sky diving or stock car racing or both, how many members enjoy sky diving but not stock car racing?
One-half of $$8^{150}$$ is equal to which of the following?
If $$x > 0$$ and $$2x^2-3x-5=0$$, what is the value of $$x$$? $$x$$=_____
Investors X and Y each invested $5,000 for 2 years at an annual interest rate of 6 percent.

Quantity A

The total amount of interest X earned if the interest was compounded semiannually

Quantity B

The total amount of interest Y earned if the interest was compounded monthly


An adult bee from the smallest known bee species has a length of 2 millimeters. What is the length of this bee in meters?
Working at their respective constant rates, machine A can produce 10,000 widgets in 10 hours, and machine B can produce 10,000 widgets in 5 hours. If the two machines work simultaneously and independently at their respective constant rates, then they would produce a total of 10,000 widgets in how many minutes?

_____minutes
At a certain location, the high temperatures for the past seven days, in degrees Fahrenheit, were 76, 66, 61, 54, 59, x, and 70. Which of the following values could be the median of the high temperatures, in degrees Fahrenheit?

Indicate all such values.
The function f is defined by $$f(n)=3n^2+2n+5$$ for all integers n.

Quantity A

The least value of $$f(n)$$ for all integers $$n$$

Quantity B

5




Which of the lines shown in the xy-plane contains only points with coordinates (x, y) for which x=-y
The integer $$t$$ is the product of four different prime numbers. If $$t$$ divided by 35 is a multiple of 11, which of the following could be equal to $$t$$ divided by

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