DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 187)

Problem 1 :

Given that f(x) = (x – a)(x – b), where a and b are integer constants. If f(11) > 0, f(14) < 0 and f(17) > 0, then, which of the following could be the value of a + b?

A)  25

B)  28

C)  30

D)  31

Solution :

Problem 2 :

f(x) = a ⋅ b^x/n

In the function f(x) above, a, b and n are integer constants. If f(4) = 4 and f(7) = 108, then what is the value of f(9)?

Solution :

Problem 3 :

In the figure above, m∠ABC = x°, m∠EDC = 43° and m∠BFE = 25°. If the lengths of AB and BC are equal, then, what is the value of x?

Solution :

Problem 4 :

y²(x – 6) – 9(x – 6)³

Which of the following is a factor of the above expression?

A)  3y

B)  y – 6

C)  y – 3x + 18

D)  y + 2x – 6

Solution :

Problem 5 :

What is the solution set for the equation above?

A)  {9/2}

B)  {8}

C)  {9/2, 8}

D)  {3, 8}

Solution :

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