DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 205)
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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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