DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 40)
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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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