1. Which of the following is the set of all real numbers x such that x - 3 < x - 5?
2. The fifth power of a number is 229,386,041. The number is between:
3. If each element in a data set whose mean is x is multiplied by 3, and each resulting product is then reduced by 4, which of the following expressions gives the mean of the resulting data set in terms of x?
4. If , then tan θ = ?
5. The City Council has approved the construction of a circular pool in front of City Hall. The area available for the pool is a rectangular region 12 feet by 18 feet, surrounded by a brick wall. If the pool is to be as large as possible within the walled area, and edge of the pool must be at least 2 feet from the wall all around, how many feet long should the radius of the pool be?
6. Kate rode her bicycle to visit her grandmother. The trip to Kate's grandmother's house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmother's house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?
7. Let n equal 3a + 2b-7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?
8. For all b > 1, which of the following statements describes the function f defined by f(x) = b-x?
9. If the edges of a cube are tripled in length to produce a new, larger cube, then the larger cube's surface area is how many times larger than the smaller cube's surface area?
10. Considering all values of a and b for which a + b is at most 9, a is at least 2, and b is at least - 2, what is the minimum value of b - a?