DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 179)

Problem 1 :

The function f is defined by f(x) = |x² – 8| - |x – 20|, and the function g is defined by g(x) = |x³ – 12| - |x – 16|. If p = f(-6) and q = g(3), where p and q are constants, what is the value of 172^{p – q}?

Solution :

Problem 2 :

For the exponential function g, the value of g(3) is k, where k is a constant. Which of the following definitions of the function g shows the value of k as the coefficient or the base?

A)  g(x) = 18(1.01)^{x - 1}

B)  g(x) = 18(1.01)^{x - 3}

C)  g(x) = 18(1.01)^{x + 1}

D)  g(x) = 18(1.01)^{x + 3}

Solution :

Problem 3 :

In the figure above, O and P are the centers of two semicircles of radius r. If the length of the perimeter is 8π + 16 what is the value of r?

A)  2

B)  4

C)  6                 

D)  8

Solution :

Problem 4 :

If x¹² = 5000 and x¹¹/y = 10, what is the value of xy?

A)  500

B)  100

C)  50

D)  10

Solution :

Problem 5 :

If f is a linear function for which f(10) – f(5) = 10, what is the value of f(20) – f(8)?

Solution :

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