DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 249)

Problem 1 :

y = 2x² – ax + b

In the equation above, a and b are constants and the graph of the equation has a vertex at point (3, –6). What is the value of b?

Solution :

Problem 2 :

A landscaper is designing a regular hexagonal garden. If the area of the garden will be 150√3 square feet, what will be the perimeter, in feet, of the garden?

Solution :

Problem 3 :

The elastic potential in joules is the energy stored in a spring when it is stretched. The elastic potential energy is directly proportional to the square of the distance that the spring has been stretched from its original length. When a spring is stretched a distance of 0.5 meter, the elastic potential energy is 12 joules. If the sping is stretched 0.25 meter, what is the elastic potential energy, in joules, stored in the spring?

Solution :

Problem 4 :

Point O is the center of the circle in the figure above. What is the value of x?

Solution :

Problem 5 :

The circle in the figure above has center O and radius 10. If BC is perpendicular to AD, what is the length of AC?

Solution :

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