Free Test Prep PSAT Exam Questions

What is the greatest value of x that makes a true statement?

Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8

F. Scott Fitzgerald was a prominent American writer of the twentieth century. This passage comes from one of his short stories and tells the story of a young John Unger leaving home for boarding school. John T. Unger came from a family that had been well known in Hades a small town on the Mississippi River for several generations. John’s father had held the amateur golf championship through many a heated contest; Mrs. Unger was known “from hot-box to hot-bed,” as the local phrase went, for her political addresses; and young John T. Unger, who had just turned sixteen, had danced all the latest dances from New York before he put on long trousers. And now, for a certain time, he was to be away from home. That respect for a New England education which is the bane of all provincial places, which drains them yearly of their most promising young men, had seized upon his parents. Nothing would suit them but that he should go to St. Midas’s School near Boston – Hades was too small to hold their darling and gifted son. Now in Hades – as you know if you ever have been there the names of the more fashionable preparatory schools and colleges mean very little. The inhabitants have been so long out of the world that, though they make a show of keeping up-to-date in dress and manners and literature, they depend to a great extent on hearsay, and a function that in Hades would be considered elaborate would doubtless be hailed by a Chicago beef-princess as “perhaps a little tacky.” John T. Unger was on the eve of departure. Mrs. Unger, with maternal fatuity, packed his trunks full of linen suits and electric fans, and Mr. Unger presented his son with an asbestos pocket-book stuffed with money. “Remember, you are always welcome here,” he said. “You can be sure, boy, that we’ll keep the home fires burning.” “I know,” answered John huskily. “Don’t forget who you are and where you come from,” continued his father proudly, “and you can do nothing to harm you. You are an Unger – from Hades.” So the old man and the young shook hands, and John walked away with tears streaming from his eyes. Ten minutes later he had passed outside the city limits and he stopped to glance back for the last time. Over the gates the old-fashioned Victorian motto seemed strangely attractive to him. His father had tried time and time again to have it changed to something with a little more push and verve about it, such as “Hades – Your Opportunity,” or else a plain “Welcome” sign set over a hearty handshake pricked out in electric lights. The old motto was a little depressing, Mr. Unger had thought – but now. So John took his look and then set his face resolutely toward his destination. And, as he turned away, the lights of Hades against the sky seemed full of a warm and passionate beauty. The tone of sentence “their darling and gifted son” can best be described as

"Interpreting the Copernican Revolution" by Matthew Minerd (2014) The expressions of one discipline can often alter the way that other subjects understand themselves. Among such cases are numbered the investigations of Nicolaus Copernicus. Copernicus is best known for his views concerning heliocentrism, a view which eventually obliterated many aspects of the ancient/medieval worldview, at least from the standpoint of physical science. It had always been the natural view of mankind that the earth stood at the center of the universe, a fixed point in reference to the rest of the visible bodies. The sun, stars, and planets all rotated around the earth. With time, this viewpoint became one of the major reference points for modern life. It provided a provocative image that was used – and often abused – by many people for various purposes. For those who wished to weaken the control of religion on mankind, it was said that the heliocentric outlook proved man’s insignificance. In contrast with earlier geocentrism, heliocentrism was said to show that man is not the center of the universe. He is merely one small being in the midst of a large cosmos. However, others wished to use the “Copernican Revolution” in a very different manner. These thinkers wanted to show that there was another “recentering” that had to happen. Once upon a time, we talked about the world. Now, however, it was necessary to talk of man as the central reference point. Just as the solar system was “centered” on the sun, so too should the sciences be centered on the human person. However, both of these approaches are fraught with problems. Those who wished to undermine the religious mindset rather misunderstood the former outlook on the solar system. The earlier geocentric mindset did not believe that the earth was the most important body in the heavens. Instead, many ancient and medieval thinkers believed that the highest “sphere” above the earth was the most important being in the physical universe. Likewise, the so-called “Copernican Revolution” in physics was different from the one applied to the human person. Copernicus’ revolution showed that the human point of view was not the center, whereas the later forms of “Copernican revolution” wished to show just the opposite. Of course, there are many complexities in the history of such important changes in scientific outlook. Nevertheless, it is fascinating to see the wide-reaching effects of such discoveries, even when they have numerous, ambiguous effects. What can we say of the effects of Copernicus’ discoveries on the reigning medieval way of looking at the world?

Expand the expression: (x3 – 4x)(6 + 12x2)