DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 35)

Problem 1 :

A number x is at most 2 less than 3 times the value of y. If the value of y is -4, what is the greatest possible value of x?

Solution :

Problem 2 :

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 6 and 12, which inequality represents the possible lengths x, of the third side of the triangle?

A)  x < 18

B)  x > 18

C)  6 < x < 18

D)  x < 6 or x > 18

Solution :

Problem 3 :

Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

A)  3

B)  7

C)  8

D)  12.

Solution :

Problem 4 :

A salesperson’s total earnings consists of a base salary of x dollars per year, plus earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales s, in dollars the salesperson can make this year in order to meet that goal?

Solution :

Problem 5 :

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which equation can Alan use to determine how many fewer average miles m, he should drive each week?

Solution :

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