DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 28)

Problem 1 :

y > 14

4x + y < 18

The point (x, 53) is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x?

A)  -9

B)  -5

C)  5

D)  9

Solution :

Problem 2 :

Which expression is equivalent to

where x > 7?

Solution :

Problem 3 :

f(t) = 8,000(0.65)^t

The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0 ≤  t ≤ 5 .If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

A) The minimum estimated number of coupons the company sent to their customers during the 5 years was 1,428.

B) The minimum estimated number of coupons the company sent to their customers during the 5 years was 8,000.

C) The estimated number of coupons the company sent to their customers at the end of 1998 was 1,428.

D) The estimated number of coupons the company sent to their customers at the end of 1998 was 8,000.

Solution :

Problem 4 :

Triangle XYZ is similar to triangle RST such that X, Y and Z correspond to R, S and T respectively. The measure of ∠Z is 20° and 2XY = RS. What is the measure of ∠T?

A)  2°

B)  10°

C)  20°

D)  40°

Solution :

Problem 5 :

y = 6x + 18

One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?

A)  -6x + y = 18

B)  -6x + y = 22

C)  -12x + y = 36

D)  -12x + y = 18

Solution :

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