DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 14)

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 :

The circle shown has center O, circumference 144π, and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR?

A)  24π

B)  48π

C)  72π

D)  96π

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 :

f(x) = (x + 6)(x + 5)(x - 4)

The function f is given. Which table of values represents y = f(x) - 3 ?

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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