DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 70)

Problem 1 :

The above expression is equivalent to ax^b, where a and b are positive constants and x > 1. What is the value of a + b?

Solution :

Problem 2 :

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 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) = -a^x + 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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