Digital SAT Math Problems and Solutions (Part

Problem 1 :

-3x + 21px = 84

In the given equation, p is a constant. The equation has no solution. What is the value of p?

Solution :

Problem 2 :

-x² + bx – 676 = 0

In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b?

Solution :

Problem 3 :

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = -16, how many solutions (x, y) will the resulting system of three equations have?

A)  Zero

B)  Exactly one

C)  Exactly two

D)  Infinitely many

Solution :

Problem 4 :

The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p percent signp percent sign of its value the preceding year, what is the value of p?

A)  4

B)  5

C)  36

D)  64

Solution :

Problem 5 :

The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

A)  The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

B)  The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

C)  The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

D)  The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

Solution :

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