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Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair?


The table shows values of the function $$f$$ for selected values of $$x$$. The graph of $$y=f(x)$$ is a line in the $$xy$$-plane. What is the value of $$f(1)$$?

Give your answer as a fraction.
Because wildfires are becoming increasingly ____________, the computer modeling programs that used to help predict their progression based on information about past fires are becoming less useful to those engaged in fighting the blazes.
In 2003, approximately what was the ratio of the number of acres of millet grown organically to the number of acres of rice grown organically?
From 2005 to 2006, the number of acres of corn grown organically increased by half as much as it did from 2004 to 2005. From 2006 to 2007, the number of acres of corn grown organically increased by half as much as it did from 2005 to 2006. Which of the following is closest to the number of acres of corn grown organically in 2007?
If the number of acres of barley grown was the same in 2004 as it was in 2005, approximately what percent of the number of acres of barley grown in 2004 was grown organically?
The primary purpose of the passage is to
Evidence of the human brain's ____________ abounds: violinists, for example, tend to have larger cortical areas devoted to processing signals from their fingering hands than do non-violinists.
Debates over technologies often ____________ their development: we can reflect on many of the social and ethical issues that the possibility of geoengineering the climate raises right as these technologies are coming into existence.
If $$y^{-1}$$=$$x^{3}$$ and $$w^{-1}$$=$$y^{3}$$, which of the following is an expression for w in terms of x?
The average (arithmetic mean) of a set of n test scores is 70. If a new score of 90 is added to the set, the average of the set of scores will be 72. What is the value of n?
The diversity of uses of the term "emotional intelligence" in popular culture has (i)____________definitional clarity: the term has become so (ii)____________ that it is (iii)____________ conceptual meaning.
a ≠ 0

Quantity A

$$a^{2}-a$$

Quantity B

$$a-a^{2}$$


On each side of a parade route, spectators occupy a sidewalk that is 10 feet wide and 1.5 miles long. The parade organizers estimate that the average amount of sidewalk space occupied per spectator is 6 square feet. Based on this estimate, which of the following is closest to the total number of spectators occupying the two sidewalks? (1 mile = 5,280 feet)
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?
A student has a box containing only two kinds of bills: 6 Canadian dollar bills and y Australian dollar bills. If more than $$\frac{3}{8}$$ of the bills in the box are Australian dollar bills, what is the least number of bills that the student could have in the box?
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




The table above shows the times, in seconds, that it took each of 5 mechanics to perform a simple task. For the 5 times shown, if the median is greater than the average (arithmetic mean), which of the following could be the value of x?

Indicate all such values.
The probabilities that independent events A and B will occur tomorrow are 0.60 and 0.80, respectively.

Quantity A

The probability that A or B or both will occur tomorrow

Quantity B

0.92






A banner is to be designed to have 3 regions of solid color, as shown. Colors can be repeated, but no 2 adjacent regions can have the same color. How many different designs are possible if the colors are chosen from blue, green, red, white, and yellow?

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