DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 248)

Problem 1 :

In the equation above, if a is positive and b is negative, which of the following must be true?

A)  k > 1

B)  k > a

C)  k < b

D)  k < 1

Solution :

Problem 2 :

If the volume of a cube is 27(a³/8), where a is a positive constant, which of the following gives the surface area of the cube?

A)  27(a²/4)

B)  27(a²/2)

C)  9(a²/4)

D)  3(a²/2)

Solution :

Problem 3 :

The graph of the linear function f is shown in the xy-plane above. If the graph of g, defined by g(x) = 4f(x - 2) + k, where k is a constant, passes through the point (1, -4), what is the value of g(3)?

A)  -20

B)  -17

C)  12

D)  17

Solution :

Problem 4 :

In the figure above, an altitude of a right triangle from the right angle splits the hypotenuse into segments of lengths AD and DC. Which of the following is closest to the value of AD?

A)  7.5

B)  8.5

C)  10

D)  12

Solution :

Problem 5 :

x² + y² + 10x – 16y = p

The equation above defines a circle in the xy-plane and p is a constant. If the area of the circle is 81π, what is the value of p?

A)  11

B)  8

C)  –8

D)  –11

Solution :

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