DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 6)

Problem 1 :

When the linear function y = f(x) is graphed in the xy-plane, the graph contains the corresponding values of x and f(x) shown in the table above. Which of the following could represent the function?

A)  f(x) = 3x + 12  

B)  f(x) = 3x + 15

C)  f(x) = 15x + 12

D)  f(x) = 15x + 15

Solution :

Problem 2 :

The height of a rocket launched from a rooftop can be modeled by the equation h = -16s² + 64s + 21, where h is the height of the rocket above the ground, in feet, and s is the number of seconds since the rocket was launched. Which of the following represents the height, in feet, of the rooftop from which the rocket was launched?

A)  0

B)  16

C)  21

D)  64

Solution :

Problem 3 :

If h(–1) = 3 and h(0) = 5 in linear function h, which of the following is the equation of function h?

A)  h(x) = 2x + 5

B)  h(x) = 2x + 3

C)  h(x) = 2x

D)  h(x) = 3x + 5

Solution :

Problem 4 :

Which of the following equations correctly expresses r in terms of p and s if the relationship between the numbers p, r, and s can be expressed as p = 13r – 6s?

Solution :

Problem 5 :

Right triangle ABC has sides of the following lengths : AB = 165, BC = 280, and AC = 325. Another triangle, LMN, is similar to ABC such that A corresponds to L and B corresponds to M. What is the value of cos(L)?

Solution :

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