DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 190)

Problem 1 :

In the figure shown above, BC is the diameter of the circle. If the length of BC is equal to 132 and the length of AB is equal to √363, what is the value of BC/BD?

Solution :

Problem 2 :

x² + bx + c = 0

In the given equation, b and c are constants. If -b + √(b² - 4c) = 18 and -b - √(b² - 4c) = 10, what is one possible value of x?

Solution :

Problem 3 :

A fitness membership costs $45 per month. All new members receive a discount of $20 off the cost of their first month of membership. Which function c gives the total cost c(t), in dollars, that a new member pays after t months of membership? 

A)  c(t) = 20 + 45t

B)  c(t) = 25 + 45t

C)  c(t) = 20 + 45(t – 1)

D)  c(t) = 25 + 45(t – 1)

Solution :

Problem 4 :

P(x) = 3x³ + ax – 2

In the function above, a is a constant. If the remainder when P(x) is divided by x + 1 is 2, what is the value of a?

A)  -7

B)  -5

C)  5

D)  7

Solution :

Problem 5 :

The graph of ax + by = 5 is shown in the xy-plane above. Which of the following must be true?

A)  a < 0  and  b < 0

B)  a > 0  and  b < 0

C)  a < 0  and  b > 0

D)  a > 0  and  b > 0

Solution :

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