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 :

Problem 6 :

Lidia lives on a street that runs west and east. Her office is to the east and the town library is to the west of her house. Both are on the same street as her house. At 9.00 a.m., she left her home and drove at an average speed of 30 mph for 6 minutes to her office. When she arrived at the office, she realized she has forgotten to pick up a book at the library. Immediately, she drove to the library at anaverage speed of 36 mph for 8 minutes. After 3 minutes at the library, she drove directly to her office. What is the distance, in miles, from her house to the tow library?

Solution :

Problem 7 :

Which expression is equivalent to 4^{x + 1} ⋅ 3^2x, where x > 0?

A)  4(12)^x

B)  4(24)^x

C)  4(36)^x

D)  8(12)^x 

Solution :

Problem 8 :

Solution :

Problem 9 :

√ab = a - b

If a > 0 and b > 0, the given equation is equivalent to which of the following?

A)  ab = a² – b²   

B)  ab = a² + b²   

C)  2ab = a² – b²

D) 3ab = a² + b²

Solution :

Problem 10 :

The functions f and g are defined by f(x) = x + 1 and g(x) =x/2. If f[g(k)] = 10, what is the value of k?

Solution :

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Digital SAT Problems and Solutions (Part - 248)

Digital SAT Problems and Solutions (Part - 249)

Digital SAT Problems and Solutions (Part - 250)

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