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$$x+\frac{1}{x}=2$$

Quantity A

$$x^{2}+\frac{1}{x^{2}}$$

Quantity B

2






A certain account pays an annual interest rate of 6 percent compounded annually. Guadelupe deposited $5,000 in the account on May 1, 1994, and she deposited another $5,000 in the account on May 1. 1995. No other deposits and no withdrawals were made.

Quantity A

The amount of interest earned by the two deposits from May 1, 1994, to May 1,1996

Quantity B

$900








△PQR is an isosceles triangle.

Quantity A

The measure of angle P

Quantity B

The measure of angle R




The figure above represents the floor plan of a basement in which all the walls meet at right angles. The measurements shown in the floor plan, including the two sides of length x, are in centimeters. The floor plan is drawn using a scale of 1 centimeter to 1.5 meters. If the perimeter of the floor is 39.4 centimeters, approximately what is the area, in square meters, of the basement floor?
In a club composed of 30 members, $$\frac{2}{5}$$ of the members are older than 24 years and $$\frac{5}{6}$$ of the members are right-handed.

Quantity A

The number of members in the club who are older than 24 years and right-handed

Quantity B

10




If x and y are positive integers and x + y = 8x + 22, which of the following must be true?
A certain type of material has a mass of 2.5 grams per cubic centimeter. A bar of this material in the shape of a rectangular solid has a mass of 800 grams. If the bar is 3 centimeters wide and is 3 times as long as it is high, approximately how many centimeters high is the bar?
P=$$x^{30}-x^{31}$$

Quantity A

The value of P when x is $$\frac{1}{2}$$

Quantity B

The value fo P when x is $$-\frac{1}{2}$$


The acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown.

Quantity A

The acreage of Hopetown as a percent of the entire acreage of Lewis County

Quantity B

18%




Several hundred companies were asked to indicate what benefits they planned to offer during the next year to help retain workers. The results are summarized in the table above. If 30.0 percent of the companies polled indicated that they planned to offer both wage increases and professional development, what percent of the companies indicated that they planned to offer neither of these two benefits?

_____%
The average (arithmetic mean) weight of the boxes in a certain shipment is 18 pounds. Each of the boxes in the shipment weighs either 10 pounds or 20 pounds.

Quantity A

The number of 20-pound boxes in the shipment

Quantity B

8


1, 2, 3, ......, m

1, 2, 3, ......, n

The first sequence consists of m consecutive integers, and the second sequence consists of n consecutive integers, where m is even and n is odd.

Quantity A

The percent of integers in the first sequence that are odd

Quantity B

The percent of integers in the second sequence that are even


In a normal distribution, the amount of the distribution that lies within 1 standard deviation of the mean is 68 percent, rounded to the nearest whole percent. A certain set of values is normally distributed with a mean of 81 and a standard deviation of 5. A value x will be randomly selected from the set.

Quantity A

The probability that x will be less than 76 or greater than 86

Quantity B

The probability that x will be between 81 and 86


Which of the following double inequalities involving $$\sqrt[3]{0.8}$$ is true?
Let x, y, and z be positive numbers. If x is 12.5 percent of y and x is 3.125 percent of z, then x is what percent of y+z?

_____%
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




w, x, y, and z are consecutive positive multiples of 6.

Quantity A

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

Quantity B

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


It can be inferred from the passage that the Chinese emperor and the bureaucracy differed with respect to the
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.
x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

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


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