DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 98)

Problem 1 :

For a polynomial p(x), the value of p(-5) = 0. Which of the following must be true about p(x)?

A)  (x – 5) is a factor of p(x).

B)  (x + 5) is a factor of p(x).

C)  x is a factor of p(x).

D)  When p(x) is divided by (x + 5), the remainder is -5.

Solution :

Problem 2 :

The figure above shows the graph of the piece-wise function f defined for -4 ≤ x ≤ 5. For which of the following values of x is f(x) < |f(x)|?

A)  -3

B)  -1.3

C)  2.5

D)  3.7

Solution :

Problem 3 :

If a and b are positive integers and a² – b² = 24, which of the following could be the smallest value of a?

A)  4

B)  5

C)  7

D)  8

Solution :

Problem 4 :

The graph of y = ⅓(x)(x - 6) is shown in the xy-plane above. Which of the following are the coordinates of vertex P?

A)  (3, -2)

B)  (2, -4)

C)  (3, -3)

D)  (3, -4.5)

Solution :

Problem 5 :

In right triangle ABC above, if BC = 10 and ∠C = 30°, what is the approximate perimeter of the triangle?

A)  20

B)  23.7

C)  25.8

D)  27.2

Solution :

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