DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 215)

Problem 1 :

If x = ²ⁿ√(3xⁿ + 40), where n is a positive integer constant. What is the value of xⁿ?

Solution :

Problem 2 :

If 2a + b = 4 and ab = -3, what is the value of |2a – b|?

A)  4

B)  2√10

C)  6√3

D)  8

Solution :

Problem 3 :

In the right triangle ABC above, AB = 9, and BC = 12. If D is the midpoint of BC, what is the area of triangle CDE?

A)  27         

B)  13.5

C)  9

D)  8.64

Solution :

Problem 4 :

In the xy-plane above, the equation of line ℓ is y = ½x + 10 and the area of ΔABC is 36. What is the length of AB?

A) 6

B)  12

C)  15

D)  16

Solution :

Problem 5 :

Which of the following is true about the graph of f(x) = 3(√(8x – 4) + 2) compared with the graph of g(x) = 3√(8x) ?

A)  The graph of g(x) is moved to the left by 4 units and up 2 units.

B)  The graph of g(x) is moved to the right by 4 units and up 2 units.

C)  The graph of g(x) is moved to the right by 0.5 unit and up 2 units.

D)  The graph of g(x) is moved to the right by 0.5 unit and up 6 units.

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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