DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 132)

Problem 1 :

In the xy-plane, line k and line j are perpendicular and intersect at the point (3, 9). If line k is defined by the equation y = mx + b, where m and b are constants and m > 1, which of the following points lies on line j?

Solution :

Problem 2 :

The function P models the population, in thousands, of a certain city, t years after 2010. According to the module, the population is predicted to increase by 20% every n months. What is the value of a?

Solution :

Problem 3 :

-4x² + 112x + 42 = -px + w

In the equation given, p and w are constants. The solution set of the equation is {w/2, -w/2}. What is a possible value of w?

Solution :

Problem 4 :

The function is defined by f(x) = ½x + a, where a is a constant. If f(a) = 3, what is the value of f(8)?

A)  6

B)  7

C)  8

D)  9

Solution :

Problem 5 :

A car is traveling along a highway at 80 miles per hour. Before it exits the highway and enters a residential area, it must slow down to meet the residential speed limit of 30 miles per hour. If it decelerates so that its speed drops by 2 miles per hour every second, how many seconds will it take the car to slow down to the residential speed limit?

Solution :

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