DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 40)

Problem 1 :

Given that f(x) = 3(x - a)(x - b)(x - c), where a, b and c are constants. When a < x < b, the value of f(x) is positive, the graph of y = f(x) in the xy-plane contains the point (r, s), where r and s are constants. If s = 8, which of the following could be true?

i)  r < a

ii)  b < r < c

iii)  r > c

A) i only

B) iii only

C) i and iii

D) ii and iii

Solution :

Problem 2 :

In the expression above, b and c are integers. If the expression is equivalent to x + b and x ≠ b, which of the following could be the value of c?

A)  4

B)  6

C)  8

D)  10

Solution :

Problem 3 :

The graph of y = f(x) is shown. Which of the following best represents the function of f(x)?

A)  x(x - 1)(x + 1)(x + 3)²

B)  x(x + 1)(x - 1)(x + 3)

C)  (x - 3)²(x - 1)(x + 1)

D)  (x + 3)²(x + 1)(x - 1)

Solution :

Problem 4 :

Which of the following expressions is equivalent to

Solution :

Problem 5 :

3x + by = 36

ax - 7y = 24

If the given system of equations has no solution, what is the value of ab?

Solution :

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