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Quantity A

The perimeter of quadrilateral ABCD

Quantity B

$$\frac{9}{2}$$


In 1998 the yearly expenses to run a certain small business were x dollars. In 1999 the yearly expenses to run the business increased by 10 percent of the 1998 yearly expenses. In 2000 the yearly expenses decreased by 5 percent of the 1999 yearly expenses.

Quantity A

The percent increase from 1998 to 2000 in the yearly expenses to run the business

Quantity B

5%


The median value for a sample of 7 numbers is 50.

The median value for a sample of 9 numbers is 52.

Quantity A

The median value for the combined sample of the 16 numbers

Quantity B

51




x > -1

Quantity A

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

Quantity B

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


List K consists of the four positive integers 3, 4, 5, and x. Which of the following values could be the average (arithmetic mean) of the integers in K?

Indicate all such values.
Evelyn owns two different properties with areas of 1.5 acres and 0.5 acre, respectively. What is the total area, in square feet, of the two properties combined? (1 acre = 4,840 square yards, 1 yard = 3 feet)
When randomly selecting an integer from 11 to 50, inclusive, what is the probability that the selected number is a multiple of both 2 and 3?
w, x, y, and z are consecutive positive multiples of 6.

Quantity A

$$\frac{w+z}{2}$$

Quantity B

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


x is even, y is odd, which of the following could be even?

Indicate all such statements.
x, y, z are consecutive positive integers and x < y < z.

Quantity A

$$(\frac{1}{x}-\frac{1}{y})^{-1}$$

Quantity B

$$(\frac{1}{y}-\frac{1}{z})^{-1}$$


Gramwell claims that questions such as "What are the core assumptions of astronarmy" are ____________ the field of astronomical science; if someone is discussing the nature of astronomy, that individual is engaged in the philosophy of science rather than astronomy itself.
Orchestra players are not always the best judges of conduction. Not surprisingly, when evaluating conductors they put a high premium on musicianship and (i)____________ and therefore typically gravitate toward conductors who are both technically competent and (ii)____________. But the ability to galvanize a hundred musicians into giving a great performance requires more than proficiency and affability.
Some renewable energy technologies are quite ____________: for example, hydro power from dams and rivers has been a source of power generation since the early 1900s, and today it supplies sixteen percent of electricity worldwide.
The prime minister's reputation for ____________ was sullied when it was revealed that he had known of fraudulent activities taking place in the country's banking system but failed to report them.
Because her poetry can be so (i)____________, Sylvia Plath's continued popularity with readers may seem surprising, but perhaps it is precisely that (ii)____________ quality that accounts for Plath's persistence: her poetry satisfies a hunger for subjective intuitions.
By the end of the 1970s, the postmodern novel had degenerated from a bold attempt to (i)____________ the conventions of traditional narrative into a literary style as (ii)____________ as any other. There are, it seems, (iii)____________ number of ways to avoid telling a straightforward story.
Although legislators on both sides of issues have repeatedly (i)____________ a desire to find a middle ground, until now their actions disclose an unwillingness to (ii)____________ any compromise. The script followed by the latest statements has therefore become a familiar one: (iii)____________ posturing of questionable sincerity accompanied by an hint of real concessions.
Though the art of writing was well established in Egypt and Mesopotama long before Shang period, the Chinese writing that appeared then seems to have been an entirely ______________ development.
Neuroscientists are discovering that our sensory systems are much more interconnected than previously thought: even in ordinary circumstances, our senses can ____________ one another in extraordinary ways.
x ≠ 0

Quantity A

The average (arithmetic mean) of the numbers x, -x, and |x|

Quantity B

x





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