Problem 1 :
f(x) = ax^{2} + 8x + c
In the function above, a and c are constants. If f(-30) = f(6), what is the value of a?
Solution :
Problem 2 :
A circle has center G, and points M and N lie on the circle. Line segments MH and NH are tangent to the circle at points M and N, respectively. If the radius of the circle is 168 millimeters and the perimeter of quadrilateral GMHN is 3,856 millimeters, what is the distance, in millimeters, between G and H?
A) 168
B) 1,752
C) 1,760
D) 1,768
Solution :
Problem 3 :
The box plots above summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?
A) The mean mass of group 1 is greater than the mean mass of group 2.
B) The mean mass of group 1 is less than the mean mass of group 2.
C) The median mass of group 1 is greater than the median mass of group 2.
D) The median mass of group 1 is less than the median mass of group 2.
Solution :
Problem 4 :
The
scatterplot above shows a company’s ice cream sales d, in dollars, and the
high-temperature t, in degrees Celsius (°C), on 12 different days. A line of
best fit for the data
is also shown. Which of the following could be an equation of the line of best fit?
A) d = 0.03t + 402
B) d = 10t + 402
C) d = 33t + 300
D) d = 33t + 84
Solution :
Problem 5 :
Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, an one of eleven different days. The line of best fit for the data is also shown. The line of best fit for the data has a slope of approximately 57. According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?
Solution :
Digital SAT Problems and Solutions (Part - 1)
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