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If (2x – 6)(x + 1) = 0 and (x + 1/2)(2x + 2) = 0, then x =
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Jack Nicklaus, who solidified his legendary status with an improbable victory at the famed Augusta National Golf Club in 1986, and Tiger Woods are widely regarded as two of the best golfers in the history of the sport.
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On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 24 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
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A study of kindergarten students has shown that children from households that own many books, an average of 54 books, show average or high reading achievement levels, while the households of children with lower reading achievement levels tend to own fewer books, 5 books on average.What additional information would strengthen the assertion that parents who don't buy children's books to keep in the home cause their children to fall behind their peers in reading skills?
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Laura took out a charge account at the General Store and agreed to pay 6% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
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In Greenville last July, what was the average (arithmetic mean) home sale price?(1) In Greenville last July, there were 100 homes sold for a total of $51 million.(2) In Greenville last July, condominiums accounted for 60% of the home sales, and the average condominium price was $450,000.
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Which best represents the author's attitude towards the presented theory?
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Jean-Jacques Rousseau contended that man is good only when in "the state of nature" but is corrupted by society, that compels man to compare himself to others.
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Spokesperson: The major school lunch vendors recently agreed to stop selling high-calorie beverages in elementary and middle schools because studies show that children of ages 7 to 8 who substitute one low-calorie beverage for one high-calorie soft drink in their daily diets will, on average, weigh 20 pounds less than they would have by the time they reach high school. Since only low-calorie beverages will be sold in schools, within six to eight years, we can expect to see a reduction in the percentage of overweight high-school children.The spokesperson assumes which of the following to be true?
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According to a 1990 law, Native American tribes are entitled to artifacts or remains removed from their lands, provided that the tribes can show a direct archaeological, geological, or historical link to the artifacts. Recently, the Umatilla tribes of Oregon and Washington laid claim to a set of skeletal remains more than 500 years old.Each of the following, if true, strengthens the Umatilla's claim to the remains EXCEPT:
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Which of the following is equal to 37.5% of 22.4?
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Which of the following best completes the passage below? Brand X, which currently markets luxury watches via billboards and advertisements in popular magazines, is considering saving money by advertising its newest line of luxury watches only in niche publications read by the wealthy. A recent study shows that most purchasers of Brand X's luxury watches have only recently become wealthy, and purchase the watches because Brand X is highly coveted by those aspiring to wealth, who learn about Brand X watches via advertising. Therefore, Brand X should not implement its new advertising strategy because _________________.
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If positive integer n is divisible by both 4 and 21, then n must be divisible by which of the following?
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The First Amendment prevents the government from violating a person's right to free speech. But it does not protect government employees from disciplinary action for all statements they make in the course of their official duties. However, laws should protect them in cases in which employees bring to light information that advances the public interest in honest government and the rule of law.Which of the following would provide the best example for the argument above?
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Is x + y > z ?(1) z > y(2) z > x
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A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
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A certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1
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When they first arrived in America as slaves in the 1600s, Africans joined a society that was divided between master and white servants brought from Europe. In most parts of the South, some of these first African slaves became free either through escape or through emancipation by their owners. It is therefore a misconception that all African Americans in the pre-Civil War South were slaves. Many researchers have also assumed that these free African Americans were the offspring of white slave owners who took advantage of their female slaves. However, these cases represent only a small minority of free African Americans in the South. Most free African Americans were actually the descendants of African American men and white servant women.In fact, despite the efforts of the various colonial legislatures, white servant women continued to bear children by African American fathers through the late seventeenth century and well into the eighteenth century. It appears that such births were the primary source of the increase in the free African American population for this period. Over two hundred African American families in Virginia descended from white women. Forty-six families descended from freed slaves, twenty-nine from Indians, and sixteen from white men who married or had children by free African American women. It is likely that the majority of the remaining families descended from white women since they first appear in court records in the mid-eighteenth century, when slaves could not be freed without legislative approval, and there is no record of legislative approval for their emancipations.The history of free African Americans families in colonial New York and New Jersey, by contrast, is quite different from that of free African Americans in the South. Most were descended from slaves freed by the Dutch West India Company between 1644 and 1664 or by individual owners. Researchers have studied these families, especially a group of fourteen families that scholars have traced through at least three generations. None of the fourteen families appears to be descended from a white servant woman and an African American man. However, Lutheran church records from the eighteenth century show that a few such couples had children baptized.
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At 10:00 a.m., Peter begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 2:00 p.m., John begins traveling from Riverdale on the same path at a constant rate of 15 mph, at what time will he catch up to Peter?
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Points A (-2, 3) and B (1, 7) lie on the coordinate plane. What is the length of line segment AB?
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