DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 124)

Problem 1 :

The function f is defined by a polynomial. If f(0) = 3, which of the following must be true about f(x)?

A)  The remainder when f(x) is divided by x + 3 is 0.

B)  The remainder when f(x) is divided by x - 3 is 0.

C)  The remainder when f(x) is divided by x is -3.

D)  The remainder when f(x) is divided by x is 3.

Solution :

Problem 2 :

digitalsatmath130.png

The table above summarizes the orders that need to be processed by a warehouse on a certain day. If T represents the total number of hours needed to process all the orders in the table, which of the following inequalities gives the possible values of T?

A)  8 ≤ T ≤ 16

B)  8 ≤ T ≤ 21

C)  9 ≤ T ≤ 16

D)  9 ≤ T ≤ 21

Solution :

Problem 3 :

digitalsatmath131.png

In the figure above, ACDE is a square and ABC is a right triangle. If AB = 3 and BC = 5, what is the length of BD (not shown)?

A)  √53

B)  √62

C)  8

D)  √65

Solution :

Problem 4 :

digitalsatmath132.png

In right triangle ABC above, what is the value of y?

Solution :

Problem 5 :

A biologist uses the model above to estimate the length ℓ of a garden snake, in inches, based on the snake's age a, in months. According to the model, by how many inches in length does a garden snake grow over 5 months?

Solution :

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