DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 250)

Problem 1 :

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 2 :

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 3 :

Solution :

Problem 4 :

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 5 :

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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