Digital SAT Math Problems and Solutions (Part

Problem 1 :

The equation 10z² + 3z + c = 0 has a solution of

What is the value of c?

Solution :

Problem 2 :

y = -1.5

y = x² + 8x + a

In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a?

Solution :

Problem 3 :

In the xy-plane above, the graphs of y = x² – 4x + 5 and y = x + 1 intersect at points B and C. What is the area of the quadrilateral ABCD?

Solution :

Problem 4 :

In the circle shown above, AB is a diameter. AB and CE are perpendicular to each other. If AD is 2 units long and DB is 8 units long, what is DE/DB?

Solution :

Problem 5 :

Solution :

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