DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 133)

Problem 1 :

Given :

(a + b)³ = a³ + 3ab(a + b) + b)³ 

x = 3^1/3 + 3^-1/3

What is the value of 3x³ - 9x ?

A)  10

B)  12

C)  15

D)  16

Solution :

Problem 2 :

Every day, Dave eats either a sandwich or pizza for lunch. Over 42 days, Dave had pizza 3 times for every 4 times he had a sandwich. Over the next x days, he had pizza 3 times for every 2 times he had sanwich. If at the end of this entire period he had pizza as many times as he had a sandwich, what is the value of x?

Solution :

Problem 3 :

A printer’s input capacity is the maximum number of sheets of paper the printer can hold at one time. The table below gives the distribution of input capacities for a randomly selected group of printers.

If the median input capacity of these printers is 400 pages, what is the maximum possible value of x?

Solution :

Problem 4 :

In the xy-plane, the line defined by the equation y = 3x – 5 passes through the vertex of a parabola with x-intercepts of 3 and 15. What is the y-coordinate of the vertex of the parabola?

Solution :

Problem 5 :

The initial price of a computer is a dollars. For each month that passes by, the price is reduced to 10 percent less than the price for the previous month. Based on this information, the price P of the computer can be modeled by the equation

P = a(r)ⁿ

Where n is the number of months that have passed and r is a constant. The price of the computer decreases by n percent every 3 months. What is the value of n?

Solution :

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