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Algebra and Functions
1. Consider the following formulas: A = B + 3 (4-C)
2. Consider the following formula: y = 3(x+5) (x-2)
A. y=3 x 2 + 9x - 30
B. y= x2 + 3x - 10
C. y= 3 x 2 + 3x - 10
D. y= 3 x 2 +3x - 30
3. Consider the following pattern of numbers: 110, 112, 107, 109, 104
What is the next number in the pattern?
4. Consider the following formula: a = 1/2 b - 4
A. When the value of b is less than 8, a is negative.
B. When the value of b is greater than 8, a is negative.
C. When the value of b is less than 8, a is positive.
D. When the valuse of b is greater than 4, a is positive.
The timing of New Year's Day has changed with customs and calendars. The Mayan civilization, on what is now called the Yucatan peninsula of Mexico, celebrated the New Year on one of the two days when the noonday sun is directly overhead. In the equatorial regions of the earth, between the Tropics of Cancer and Capricorn, the sun is in this position twice a year, once on its passage southward, and once on its passage northward. At the early Mayan city of Izapa in southern Yucatan, the overhead date for the sun on its southward passage was August 13th. The Mayans celebrated this as the date for the beginning of the New Year. Later at the more northerly Mayan site at Edzna, the corresponding overhead date is July 26th. Analyses of Mayan pictorial calendars indicate that they celebrated the New Year on August 13th prior to 150 AD, and on July 26th after that year. This change has been explained by archaeological dating showing that 150 AD was the time that the Mayans moved the hub of their civilization from the southern to the northern site.
1. According to the passage, the sun at Edzna was directly overhead at noon on:
A. July 26 only
B. August 13 only
C. July 26 and one other date
D. August 13 and one other date
2. If the Mayans had moved their civilization's center south of Izapa, their new date for the celebration of the New Year would probably have been closest to which of the following dates?
A. January 1st
B. February 20th
C. March 25th
D. September 15th
3. Based on the information in the passage, which of the following statements is true?
A. Mayans made Edzna the capital because it was more temperate than Izapa
B. All Mayans moved to Edzna in 150 AD
C. Mayans used calendars to mark the passage of time.
D. The Mayan city of Izapa was destroyed in 150 AD