DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 79)

Problem 1 :

f(x) = |59 – 2x|

The function f is defined by the given equation. For which of the following values of k does f(k) = 3k?

Solution :

Problem 2 :

Which of the following is true about the values of 2^x and 2x + 2 for x > 0?

A)  For all x > 0, it is true that  2^x < 2x + 2.

B)  For all x > 0, it is true that  2^x > 2x + 2.

C)  There is a constant c such that if 0 < x < c, then 2^x < 2x + 2, but if x > c, then 2^x > 2x + 2.

D)  There is a constant c such that if 0 < x < c, then 2^x > 2x + 2, but if x > c, then 2^x < 2x + 2.

Solution :

Problem 3 :

In the figure above, the measures of all five line segments are equal. What is the ratio of the length of LK to the length of JM (not shown)?

Solution :

Problem 4 :

2x² + 2y² + cx + cy – 504 = 0

The given equation is a circle with radius 18 units. If c is a positive constant, what is the value of c?

Solution :

Problem 5 :

At a kitchen equipment store, the price of a pot is $14 and the price of a pan is $10. If Amy spends more than $100 but less than $150 to buy 3 pots and x pans, which of the following is NOT a possible value of x?

A)  6

B)  8

C)  10

D)  12

Solution :

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