DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 109)

Problem 1 :

In the given system of equations, p and q are constants and p > 0. The system has infinitely many solutions. What is the value of p + q?

Solution :

Problem 2 :

The table above shows three values of x and their corresponding y-values for a linear relationship between x and y. The x-intercept of the line occurs at x = - 5. The number m is a negative constant and n is a constant. What is the value of mn?

A)  -64

B)  -48

C)  -36

D)  -12

Solution :

Problem 3 :

The data above represents how Class Buck and Class Mow performed in their midterm results. Which of the following cannot be true about the two classes represented in the table above?

A)  The median of Class Buck and Class Mow is 75%.

B)  The mean of Class Mow is greater than the mean of Class Buck. 

C)  The standard deviation of Class Mow is higher than the standard deviation of Class Buck.

D)  The median of Class Buck is 57.6%

Solution :

Problem 4 :

In triangle ABC, angle C is a right angle, and point D is located on hypotenuse AB. A line segment DE is drawn parallel to side AC, forming a smaller triangle DBE within triangle ABC. The length of AC is 54 units and the length of segment DE is 18 units. If the area of triangle ABC is 1,458 square units, what is the area of triangle DBE?

A)  54 square units

B)  108 square units

C)  162 square units

D)  324 square units

Solution :

Problem 5 :

Two right triangles are shown in the figure above. What is the value of b in terms of a?

A)  2a

B)  2a√2

C)  4a

D)  4a√2

Solution :

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