DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 92)

Problem 1 :

Which of the following has a graph in the xy-plane that does not cross the x-axis?

A)  f(x) = 1 - x²

B)  f(x) = |1 - x|

C)  f(x) = (x - 1)² + 1

D)  f(x) = x³ - 1

Solution :

Problem 2 :

Given right triangle ABC above, which of the following gives the length of AB in terms of θ?

A)  sin θ

B)  cos θ

C)  tan θ

D)  1/sin θ

Solution :

Problem 3 :

The number of people on a social media networking site doubles every 6 months. If the site had an initial membership of 200 people when it launched, which of the following equations represents the site's total membership M, t years after its launch?

A)  M = 200(2t)

B)  M = 200(2)^t

C)  M = 200(2)^t/2

D)  M = 200(2)^2t

Solution :

Problem 4 :

Matt collects rare baseball cards. Each pack of baseball cards he buys conatins 12 cards, two of which are rare. He currently has 40 rare cards. If his goal is to have 100 rare baseball cards, how many more packs of baseball cards will he have to buy?

Solution :

Problem 5 :

p(x) = (3x² - 5)(x + k) - 20

In the polynomial p(x) defined above, k is a constant. If x is a factor of p(x), what is the value of k?

A)  -6

B)  -4

C)  2

D)  4

Solution :

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