DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 84)

Problem 1 :

In the system of equations of above, p and q are constants. The system of equations has more than one solution. What is the value of q?

Solution :

Problem 2 :

The sum of the roots of a cubic polynomial, g(x) = ax³ + bx² + cx + d is 6. If g(x) can be expressed as (x² – 4x + 4)(x + k), what is the value of a + b + c + d?

Solution :

Problem 3 :

The function f is defined by f(x) = ax² + bx + c, where a, b and c are constants. The graph of y = f(x) in the xy-plane passes through the points (7, 0) and (-3, 0). If a is an integer greater than 1, which of the following could be the value of a + b?  

A)  -6

B)  -3

C)  4

D)  5

Solution :

Problem 4 :

An equilateral triangle with side length k is inscribed into a circle. Which of the following defines the radius, r, in terms k?

Solution :

Problem 5 :

If x > 0 and a = 2 in the equation above, what is the value of x?

A)  4

B)  5

C)  6

D)  7

Solution :

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