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Which of the following is equal to $$x^{4}$$+2$$x^{2}y^{2}$$+9$$y^{4}$$?
x and y are both non-negative.

Quantity A

$$\sqrt{xy}$$

Quantity B

$$\frac{x+y}{2}$$


The primary purpose of the passage is to
It can be inferred from the passage that, compared to the versions in modern editions, some Old English poems as they come to us in surviving manuscripts
Accounts of early opera performances-both of the performances themselves and of their social milieu- indicate that the origins of the genre were anything but ____________; it began at the peak.
By sucking people into towns and draining the countryside of communities and workers, the passenger train (i)____________ its reason for being: moving people between country districts and urban centers. The major (ii)____________ urbanization in the United States, the railway fell victim to it. Once the overwhelming majority of nonelective journeys were either very long or very short, it became (iii)____________ for people to undertake them in planes or cars.
The volume of a red container is 3 times the volume of a green container. What fraction of the green container is equal to $$\frac{1}{12}$$ of the volume of the red container?
If 1 < r < s < t < 2, then, of the following, which is closest to $$r+(s*10^{6})+(t*10^{12})$$?
If $$\frac{1}{2}$$ is one solution of the equation $$8x^{2}+2x-k=0$$, where k is a constant, what is the other solution of the equation?
xy > 0 and xz < 0

Quantity A

$$x^{2}$$

Quantity B

yz






$$72=2^{x}(3^{y})$$

x and y are positive integers.

Quantity A

x

Quantity B

y


In the rectangular coordinate system, the "D-length" between points ($$x_{1}, y_{1}$$) and ($$x_{2}, y_{2}$$) is defined as the greater of the two quantities |$$x_{1}-x_{2}$$| and |$$y_{1}-y_{2}$$|. Points R, S, and T have coordinates (-3, 1), (3, 5), and (4, 1), respectively.

Quantity A

The D-length between points R and S

Quantity B

The D-length between points R and T


x and y are positive integers and x > y.

Quantity A

$$x^{y}$$

Quantity B

$$y^{x}$$






List K consists of five different numbers in ascending order. The least number in list K is -0.7 and the greatest number is -0.3. List L consists of six different numbers in ascending order. The least number in list L is -4.1 and the greatest number is -0.5.

Quantity A

The third number in list K

Quantity B

The fourth number in list L






At a grocery store, Joe bought n bottles of a certain shampoo for a total price of $12.00. At a drugstore, Ann bought 2n bottles of the same shampoo for a total price of $16.00.

Quantity A

The amount by which the price per bottle of the n bottles Joe bought exceeds the price per bottle of the 2n bottles Ann bought

Quantity B

$$\frac{5}{n}$$ dollars






If both the sum and the product of the four positive integers a, b, c and d are even, what is the greatest number of these integers that could be odd?
In Christchurch, the ratio of the number of inches of rainfall during May to the number of inches of rainfall during February was closest to which of the following?
Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?


The frequency distribution above shows the number of colleges visited by a sample of students. If the median of the numbers of colleges visited is 3, which of the following could be the value of x?

Indicate all such values.
The function R is defined by R(x)=$$x+\frac{1}{x}$$ for all positive numbers x.

Quantity A

R(3)+R($$\frac{1}{3}$$)

Quantity B

2R(3)






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