DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 200)

Problem 1 :

f(x) = a(x – b)² + k

In the function above, a, b and k are constants. If a and k are negative numbers, which of the following CANNOT be true?

A)  f(5) = –1

B)  f(1) = k

C)  f(2) = b

D)  f(3) = 1 

Solution :

Problem 2 :

(a – 2)x + (b + 2)y = 8

bx + ay = 4

In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a?

A)  -4/3

B)  -2/3

C)  2/3

D)  4/3

Solution :

Problem 3 :

A cylinder was altered by increasing the radius of its circular base by 10 percent and decreasing its height by k percent. If the volume of the resulting cylinder is 8.9% greater than the volume of the original cylinder, what is the value of k?

A)  8.9

B)  10

C)  12

D)  15

Solution :

Problem 4 :

When Albert starts walking, Kimberly is 60 yards ahead of him. They are moving in the same direction on the same straight path. Albert walks 8 yards for every 4 yards that Kimberly walks. Albert walks 3 yards per second. At these relative rates, in how many seconds will Albert catch up with Kimberly?

A)  20

B)  25

C)  30

D)  40

Solution :

Problem 5 :

In the xy-plane above, the graph of y = a(x – 3)² – 2, where a is a constant, intersects line ℓ at points P(0, 16) and Q. What is the equation of line?

A)  y = -8x + 16

B)  y = -4x + 16

C)  y = -3x + 16

D)  y = -2x + 16

Solution :

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