DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 76)
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Problem 1 :
The area of rectangle A is 50 m2 and the rectangle B is 450 m2. Rectangle A has a perimeter of 30 m. If both the rectangles are similar, what is the perimeter of rectangle B?
Solution :
Problem 2 :
The solutions to x2 + 6x + 7 = 0 are r and s, where r < s. The solutions to x2 + 8x + 8 = 0 are t and u, where t < u. The solutions to x2 + 14x + c = 0, where c is a constant, are r + t and s + u. What is the value of c?
Solution :
Problem 3 :
Function f is a quadratic function. The graph of y = f(x) in the xy-plane has a vertex at (6, 10), contains the point (5, 8), and has a y-intercept at (0, a). The graph of g(x) = 4 ⋅ f(x) has a y-intercept at (0, b). What is the positive difference between a and b?
Solution :
Problem 4 :
In the figure above, the radius of the circle is 12. If the length of chord AB is 18, what is the distance between the chord and the diameter?
A) 2√10
B) 3√7
C) 4√5
D) 6√2
Solution :
Problem 5 :
0.36x2 + 0.63x + 1.17
The given expression can be written as a(4x2 + 7x +13), where a is a constant. What is the value of a?
Solution :
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