DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 123)

Problem 1 :

If 9 ≤ –5x – 6 ≤ 34, a is the greatest possible value of x, and b is the least possible value of x, what is the value of a – b ?

Solution :

Problem 2 :

At a certain airline, the total cost of checking in a bag is the sum of a fixed fee of $25, and an additional charge of $3 each pound the bag’s weight exceeds the overweight limit of 50 pounds. The total cost C, in dollars, of checking in an overweight bag weighing x pounds can be found by using the formula C = ax – b, where a and b are constants. What is the value a + b?

Solution :

Problem 3 :

The function f is defined above. Which of the following CANNOT be f(x) for any value of x?

A)  -6

B)  -4

C)  1

D)  3

Solution :

Problem 4 :

A function f(x) has two properties :

f(a + b) = f(a) - b

f(2) = 10

What is the value of f(5)?

A)  5

B)  7

C)  9

D)  11

Solution :

Problem 5 :

If (x + y)² – (x – y)² = 60 and x and y are positive integers, which of the following could be a value of x + y?

A)  6

B)  8

C)  10

D)  12

Solution :

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