DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 175)

Problem 1 :

Let f(x² + 5x + 6) = 2x² + 10x and g(x) = 2f(x) + k. If g(9) = 7, what is the value of k?

Solution :

Problem 2 :

In a bag, there are two colors of marbles, red and blue. If the probability of selecting a blue marble is 0.6 and there are 36 red marbles, find the total number of marbles in the bag.

Solution :

Problem 3 :

In the xy-plane above, what is the area of ΔABC?

Solution :

Problem 4 :

The graph of y = -(x – 2)(x + 5) is shown in the xy-plane above. What is the area of triangle STR?

Solution :

Problem 5 :

f(x) = x⁵ + ax⁴ + bx³

g(x) = x⁵ + sx⁴ + tx³

If the polynomial h(x) = f(x) + g(x) is divisible by x⁴, which of the following must be true?

A)  a = s = 0

B)  a + s = 0

C)  b = t = 0

D)  b + t = 0

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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