DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 157)
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Problem 1 :
The xy-plane above shows the graphs of two quadratic functions and a rectangle. Points A, B, C and D lie on the graphs of y = x2 and y = -x2 repsectively. If the area of rectangle ABCD is 108, what is the length of BC?
Solution :
Problem 2 :
5s – 2t – 1 = –a
–8s + bt – 2 = 2
In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a?
Solution :
Problem 3 :
In the figure above, circle O is tangent to the sides of triangle ABC. If AB = 10 and BC = 6, what is the circumference of the circle to the nearest tenth?
Solution :
Problem 4 :
The complete graph of the function f is shown above. Which of the following are equal to 2?
I. f(-2)
II. |f(-1)|
III. f(4.7)
A) I only
B) I and III only
C) II and III only
D) I, II and III
Solution :
Problem 5 :
x2 – 4x + 5 = (x – 1)(x – 2) + ax + b
In the equation above, a and b are constants. If the equation is true for all values of x, what are the values of a and b?
A) a = –3, b = –1
B) a = 3, b = –1
C) a = –1, b = 3
D) a = 3, b = 1
Solution :
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