DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 66)

Problem 1 :

An isosceles right triangle has a perimeter of 94 + 94√2 inches. What is the length, in inches, of one leg of this triangle?

A)  47

B)  47√2

C)  94

D)  94√2

Solution :

Problem 2 :

-9x² + 30x + c = 0

In the given equation, c is a constant. The equation has exactly one solution. What is the value of c?

A)  3

B)  0

C)  -25

D)  -53

Solution :

Problem 3 :

In the given system of equations, p is a constant. If the system has no solution, what is the value of p?

Solution :

Problem 4 :

f(x) = -500x² + 25,000x

The revenue f(x), in dollars, that a company receives from sales of a product is given by the function f above, where x is the unit price, in dollars, of the product. The graph of y = f(x) in the xy-plane intersects x-axis at 0 and a. What does a represent?

A)  The revenue, in dollars, when the unit price of the product is $0.

B)  The unit price, in dollars, of the product that will result in maximum revenue.

C)  The unit price, in dollars, of the product that will result in a revenue of $0.

D)  The maximum revenue, in dollars, that the company can make.

Solution :

Problem 5 :

In the expression above, b and c are positive 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 :

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