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a ≠ 0

Quantity A

$$a^{2}-a$$

Quantity B

$$a-a^{2}$$


$$\frac{1}{x}-\frac{1}{y}=\frac{1}{xy}$$ and xy ≠ 0.

Quantity A

x

Quantity B

y


A number is to be chosen at random from the integers from 1 to 100, inclusive. What is the probability that the number chosen will be an even integer greater than 90?
What is the y-intercept of the line in the xy-plane that passes through the point (1, 2) and is parallel to the line y+2x=1?
How many whole numbers between 10 and 43 have a remainder of 5 when divided by 7?
Starting from rest, a certain car travels a distance of Q meters in t seconds, where $$Q=4t^{2}$$ and 0≤ Q ≤ 64. In how many seconds does the car travel 64 meters, starting from rest?

_____seconds
If the annual commercial energy usage for lighting is w units of energy, which of the following is closest to the annual commercial energy usage for refrigeration, in the same units of energy?
The ratio of the total annual residential energy usage to the total annual commercial energy usage is x to y. Which of the following represents the fraction of the total annual energy usage, both residential and commercial, that is for lighting?
The annual commercial energy usage for space cooling is approximately what percent less than the annual commercial energy usage for space heating?
How many three-digit positive integers are there such that the sum of the digits is 3?


In the figure above, OP = OQ and QS = 4RS. If △OPQ and △QRS have equal area, what are the coordinates of point R?
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?
In a certain town, the median daily noon temperature for a 7-day period was less than 60°F. In the town, which of the following could be the total number of days during the 7-day period on which the daily noon temperature was less than 60°F?

Indicate all such numbers.
Fungi are a basic component of every ecosystem, and their importance cannot be __________, but mycologists generally lack an understanding of which fungi are present in oceans and what roles they play.
Despite a reputation, once richly deserved, for ____________ in adopting new technologies, most big carmakers are pouring resources both into battery power and other alternative forms of propulsion, and into automated driving.
Which of the following is an assumption on which the argument depends?
The author mentions "satellites of giant planets" in order to
The author implies that the fact that the Moon and Earth “have different compositions"
At roughly four thousand lines, the second quarto version of Hamlet -- the closest surviving version to what Shakespeare first wrote in late 1599 could not have been performed uncut. Though the Elizabethan stage dispensed with time-consuming intermissions and scenery changes, this version would still have taken four hours to perform; even at top speed, actors couldn't rattle off much more than a thousand lines of verse an hour. With outdoor performances beginning at two in the afternoon and the sun setting at around five o'clock, an uncut Hamlet staged in late fall or winter would have left actors stumbling about on a dark stage. Contemporary references to other plays mention their running time as being closer to two hours.
The highlighted portion(even at top speed - an hour) of the passage serves primarily to

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