DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 262)

Problem 1 :

The frequency table above gives the distribution of heights, in inches, for a random sample of 56 male basketball players and 56 female basketball players. What is the positive difference between the median height (in inches) for male players and the median height (in inches) for female players?

Solution :

Problem 2 :

In the xy-plane, a parabola has vertex (–5, –12) and has no x-intercepts. If the equation of the parabola is written in the form y = ax² + bx + c, where a, b and c are constants, which of the following could be the value of a + b + c ?

A)  –19

B)  –12

C)  –10

D)  –5

Solution :

Problem 3 :

The scatterplot shows the relationship between two variables, x and y, for data set P. A line of best fit is shown. Data set Q is created by multiplying the y-coordinate of each data point from data set P by 4.3. The equation for the line of best fit for data set Q can be written in the form Q(x) = a + bx. What is the value of a – b?

Solution :

Problem 4 :

(3x – a)² = (2x + j)(jx – k)

The given equation has infinitely many solutions, where a, j and k are constants. What is the value of a?

Solution :

Problem 5 :

f(x) =  –a^x + b

The function f is defined by the equation above, where a and b are constants. The graph of g(x) is formed by taking the graph of f(x) and translating it both 6 units in the negative x direction and 2 units in the negative y direction. The x-coordinate of the x-intercept for the graph of g(x) is –3 and g(-6) = 61/64 , what is the value of a?

Solution :

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