DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 32)

Problem 1 :

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

A)  29√2

B)  58√2

C)  58 + 58√2

D)  58 + 116√2

Solution :

Problem 2 :

21x² + 41x + 10 = 0

The above equation can be factored into (3x + a)(7x + b), where a and b are integer constants or factored into (3x + c)(7x + d), where c and d non-integer constants. What is the value of a + c?

Solution :

Problem 3 :

When an Alvia high-speed train that is stopped in Barcelona leaves the station, its speed increases (accelerates) at a constant rate of 3,888 kilometers per hour squared (km/hr²). If h is the time, in hours, it takes for the train to reach a speed of 250 km/hr, which of the following equations best describes this situation?

Choose 1 answer :

Solution :

Problem 4 :

7kx + 13my = 20.5

6kx + 5my = -48

In the given system of equations, k and m are constants. The system has a solution of (2, y). What is the value of k?

Solution :

Problem 5 :

The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?

Solution :

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