DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 70)
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Problem 1 :
y = 2x2 - 21x + 64
y = 3x + a
In the given system of equations, ais a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?
A) -8
B) -6
C) 6
D) 8
Solution :
Problem 2 :
The above expression is equivalent to axb, where a and b are positive constants and x > 1. What is the value of a + b?
Solution :
Problem 3 :
An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?
A) 29√2
B) 58√2
C) 58 + 58√2
D) 58 + 116√2
Solution :
Problem 4 :
In the xy-plane, a parabola has vertex (9, -14) and intersects the x-axis at two points. If the equation of the parabola is written in the form y = ax2 + bx + c, where a, b, and c are constants, which of the following could be the value of a + b + c?
A) -23
B) -19
C) -14
D) -12
Solution :
Problem 5 :
Function f is defined by f(x) = -ax + b, where a and b are constants. In the xy-plane, the graph of y = f(x) - 15 has a y-intercept at (0, -99/7). The product of a and b is 65/7. What is the value of a?
Solution :
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