DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 14)

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Problem 1 :

Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

Solution :

Problem 2 :

A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?

Solution :

Problem 3 :

The function f is defined by the equation

f(x + 2) = 7x + 2

What is the value of f(x) when x = 4 ?

Solution :

Problem 4 :

A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1-point questions and y represents the number of 3-point questions?

A)  4xy = 70

B)  4(x + y) = 70

C)  3x + y = 70

D)  x + 3y = 70

Solution :

Problem 5 :

y = -3x

4x + y = 15

The solution to the given system of equations is (x, y). What is the value of x?

A)  1

B)  5

C)  15

D)  45

Solution :

Problem 6 :

Function f is defined by f(x) = (x + 6)(x + 5)(x + 1). Function g is defined by g(x) = f(x - 1). The graph of y = g(x) in the xy-plane has x-intercepts at (a, 0), (b, 0), and (c, 0), where a, b, and c are distinct constants. What is the value of a + b + c ?

A)  -15

B)  -9

C)  11

D)  15

Solution :

Problem 7 :

A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 times the value of y. What is the value of x?

A)  25

B)  28

C)  56

D)  86

Solution :

Problem 8 :

13 is p% of 25. What is the value of p?

Solution :

Problem 9 :

A landscaper uses a hose that puts 88x ounces of water in a bucket in 5y minutes. Which expression represents the number of ounces of water the hose puts in the bucket in 9y minutes at this rate?

A)  9x/440

B)  440x/9

C)  5x/792

D)  792x/5

Solution :

Problem 10 :

4x - 9y = 9y + 5

hy = 2 + 4x

In the given system of equations, h is a constant. If the system has no solution, what is the value of h?

A)  -9

B)  0

C)  9

D)  18

Solution :

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