DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 62)

Problem 1 :

5x³ + bx² - 720x = 0

In the given equation, b is a positive integer constant. Which value could be a solution to the equation?

A)  -14

B)  -8

C)  10

D)  14

Solution :

Problem 2 :

f(x) = 133(b)^x

When x increases by 1, f(x) increases by c%. Which of the following expresses c in terms of b?

Solution :

Problem 3 :

The functions f anf g are defined by the given equations.

f(x) = 3 + |-2x - x²|

If f(-4) = c, where c is a constant, what is the value of g(c)?

Solution :

Problem 4 :

In the xy-plane, the point (p, r) lies on the line with equation y = x + b, where b is a constant. The point with coordinates (2p, 5r) lies on the line with equation y = 2x + b. if p ≠ 0, what is the value of r/p?

A)  2/5

B)  3/4

C)  4/3

D)  5/2

Solution :

Problem 5 :

(2x + p)(3x² - 48)(2x² + 7x - 10p) = 0

In the equation above, p is a constant. The sum of the solutions is equal to -5. What is the value of p?

Solution :

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