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SAT Problem Solving #2

Question #1: f(x) = 1/(x + 1) and g(x) = x + 1. What are the values of x for which f(x) = g(x)?

Question #2: A website had 2,000 unique visitors in 5 days. At the same rate, how many days are needed to achieve 12,000 unique visitors?

Question #3: If a is an integer chosen randomly from the set {3, 4, 5, 9} and b is an integer chosen randomly from the set {3, 8, 12, 15}, what is the probability that a/b is an integer?

Question #4: Two of the sides of a triangle are 7 and 6. What of the following could be the perimeter of the triangle?

Question #5: In the coordinate plane, what is the line that is perpendicular to y = m · x + n and passes through the origin?

Question #6: Given the table below, which of the following answers describes the relation between x and y?
 x y 0 1 2 5 4 17 5 26

Question #7: The median m divides the ABC triangle in 2 triangles, ABM and ACM. What is the ratio between the areas of the 2 triangles, AreaABM/AreaACM ? Question #8: Out of 25 mining companies, 14 extract copper, 16 extract silver and 1 extracts neither copper nor silver. How many companies extract both silver and copper?

Question #9: The solutions of the quadratic equation x2 - 4x + 5 = 0 are:

Question #10: For any a≠1, (a4 - 1) / (a - 1) =