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 :
Digital SAT Problems and Solutions (Part - 1)
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