Problem 1 :
In the figure above, O is the center of the circle, measure of arc ACB is 3π/2 radians and length of the chord AB is 4√2. What is the area of ΔOAB?
Solution :
Problem 2 :
9x + 5 = a(x + b)
In the equation above, a and b are constants. If the equation has no solution, which of the following must be true?
I. a = 9
II. b = 5
III. b ≠ 5/9
A) I only
B) II and II only
C) I and III only
D) I, II and III
Solution :
Problem 3 :
To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B. In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of the number of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s?
A) 128
B) 160
C) 200
D) 320
Solution :
Problem 4 :
f(x) = ax2 + bx + c
In the function f above, a, b and c are constants. The graph of f is a parabola which opens down and intersects x-axis at two points. If the parabola passes through the point (0, -24), the axis of symmetry is x = 4 and a + 2b = 30, then, which of the following must be true about the function f ?
A) f(x) = 2x2 - 16x + 24
B) f(x) = -2x2 - 16x + 24
C) f(x) = 2x2 + 16x - 24
D) f(x) = -2x2 + 16x - 24
Solution :
Problem 5 :
In the figure above, O is the center of the circle, measure of arc ADC is 300°, BA is tangent to the circle and length of OB is 8. What is the area of the shaded region?
Solution :
Digital SAT Problems and Solutions (Part - 1)
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