DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 205)

Problem 1 :

In the figure above, the area of rectangle ABCD is 25. What is the area of parallelogram AFDE ?

A)  12.5

B)  18

C)  25

D)  27.5

Solution :

Problem 2 :

f(x) = x² – 8x + 12

The function f is shown above. In the xy-plane, what are the coordinates of the vertex of the parabola denoted by g(x) = f(x – 3)?

A)  (–4, 7)

B)  (4, 12)

C)  (7, –4)

D)  (7, 12)

Solution :

Problem 3 :

The graph of a circle in the xy-plane above intersects at four points with the x-axis and the y-axis. What is the value of k?

A)  4

B)  5

C)  6

D)  7

Solution :

Problem 4 :

If f(x – 3) = x² + x + 1, which of the following represents f(x)?

A)  f(x) = x² + x – 4

B)  f(x) = (x – 3)² + (x – 3) – 4

C)  f(x) = (x + 3)² + (x + 3) + 1

D)  f(x) = (x + 3)² + (x + 3) + 3

Solution :

Problem 5 :

How does the graph f(x) = x² – 4x + 5 compare with the graph of g(x) = x²?

A)  The graph of g(x) is moved to the left 4 units and up 5 units.

B)  The graph of g(x) is moved to the right 4 units and up 5 units.

C)  The graph of g(x) is moved to the left 2 units and up 5 units.

D)  The graph of g(x) is moved to the right 2 units and up 1 unit.

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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