Problem 1 :
f(x) = ax^{2} + bx + c
In the given quadratic function, a and c are constants. The graph of y = f(x) in the xy-plane is a parabola that opens upward and has a vertex at the point (h, k), where h and k are constants. If k < 0 and f(-9) = f(3), which of the following must be true?
I. a ≥ 1
II. c < 0
A) I only
B) II only
C) I and II
D) Neither I nor II
Solution :
Problem 2 :
Which of the following is equivalent to (√a + √b)^{2/3}, where a > 0 and b > 0?
A) (a + b)^{3} .
B) ^{3}√(a + b)
C) (a + 2√ab + b)^{1/3}
D) ^{3}√(a + 2ab + b)
Solution :
Problem 3 :
Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?
A) |x + 4| = 3
B) |x - 4| = 3
C) |x + 3| = 4
D) |x - 3| = 4
Solution :
Problem 4 :
x^{2} – ax + 12 = 0
In the equation above, a is a constant and a > 0. If the equation has two integer solutions, what is the smallest possible value of a?
Solution :
Problem 5 :
A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is (7x – 610)º. The sum of the measures of one of the acute angles and three of the obtuse angles is (-14x + w)º. What is the value of w?
Solution :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solutions (Part - 2)
Digital SAT Problems and Solutions (Part - 3)
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