DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 162)

Problem 1 :

A circle in the xy-plane has its center (-1, 1). Line t is tangent to this circle at the point (5, -4). Which of the following points also lies on line t?

A)  (0, 6/5)

B)  (4, 7)

C)  (10, 2)

D)  (11, 1)

Solution :

Problem 2 :

In the xy-plane above, the function f is defined by f(x) = 2x³ + 3x² + ax + b, where a and b are constants. If the graph of f intersects the x-axis at three points, what is the value of a?

A)  11

B)  5

C)  -5

D)  -11

Solution :

Problem 3 :

g(x) = f(x – 3) – 10

If the slope of the linear function f is 2/5, what is the slope of the function g shown above?

A)  -2/5

B)  -5/2

C)  2/5

D)  5/2

Solution :

Problem 4 :

A certain dancing group does not receive applicants whose height is less than 5 feet or more than 6 feet. Which of the following inequalities can be used to determine the height h, in feet, of applicants who are not accepted in the gorup?

A)  |h – 5| > 6

B)  |h – 6| > 5

C)  |h – 5.5| < 0.5

D)  |h – 5.5| > 0.5

Solution :

Problem 5 :

a^-2 + 3a^-1 – 10 = 0

In the equation above, a > 0. What is the value of a?

A)  ½

B)  2

C)  3

D)  4

Solution :

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