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 :

Problem 6 :

If x² = y³, for what value of z does x^3z = y⁹?

A)  -1

B)  0

C)  1

D)  2

Solution :

Problem 7 :

A quadratic function models the height, in feet, of an object above the ground in terms of time, in seconds, after the object was launched. According to the model, the object was launched from a height of 8 feet and reached its maximum height of 1800 feet 16 seconds after it was launched. Based on the model, what was the height in feet, of the object 24 seconds after it was launched?

Solution :

Problem 8 :

x(4k – 15) + 19 = 53x + 47

In the given equation, k is a positive integer. If the given equation has exactly one solution, what cannot be the value of k?

A)  17

B)  19

C)  53

D)  68

Solution :

Problem 9 :

A bank offers 5% compound interest calculated on half yearly basis. A customer deposits $1600 each on 1st January and 1st July of a year, the amount he would have gained by way of interest is :

A)  $120

B)  $121

C)  $122

D)  $123

Solution :

Problem 10 :

If 2 = p³, then which of the following is equal to 8p?

A)  p⁶ 

B)  p⁸ 

C)  p¹⁰ 

D)  8√2

Solution :

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