DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 105)

Problem 1 :

y = 3(2x – a)² + 1

y = 6x – 5

If (x, y) is the only solution to the above system of equations, what is the value of x?

Solution :

Problem 2 :

Pat delivers packages for the post office. The graph above shows his distance from the post office during his delivery route. Which portion of the graph represents the times when Pat is driving along a circular road around the post office?

A)  The portion from 0 hours to 1 hour

B)  The portion from 1 hour to 3 hours

C)  The portion from 3 hours to 5 hours

D)  The portion from 5 hours to 6 hours

Solution :

Problem 3 :

A bakery standardizes muffins to weigh between 1¾ and 2½ ounces. If m is the weight of a muffin from this bakery, which of the following inequalities expresses the possible values of m?   

Solution :

Problem 4 :

On vacation, Jill spends ¼ of her money the first day. Then she spends ¼ of the money  she has left on the second day. She starts the third day with $180 left to spend. How many dollars did she have at the start of the vacation?

A)  280

B)  320

C)  360

D)  400

Solution :

Problem 5 :

If 3n – 8 < x < n, which of the following must be true?

I. n – x < 0

II. n < 4

III. 2x < 4n – 8

A)  I and II only

B)  II only

C)  II and III only

D)  I, II and III

Solution :

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