# DIGITAL SAT MATH PROBLEMS AND SOLUTIONS(Part - 25)

Problem 1 :

y = 2x2 – 21x + 64

y = 3x + a

In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point (x, y) in the xy-plane. What is the value of x?

A)  -8

B)  -6

C)  6

D)  8

Solution :

Problem 2 :

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k - 5, b), where k and b are constants. What is the value of b?

Solution :

Problem 3 :

A certain park has an area of 11,863,808 square yards. What is the area in square miles of this park?

(1 mile = 1,760 yards)

A)  1.96

B)  3.83

C)  3,444.39

D)  6,740.8

Solution :

Problem 4 :

In the given system of equations, r is a constant. If the system has no solution, what is the value of r?

Solution :

Problem 5 :

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x − 0.488. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

A. Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

B. Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars.

C.  Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

D. Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.

Solution :

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