Problem 1 :
f(x) = a(x - 3)2 + b(x - 3)2
If f(10) = m and f(-4) = n, what is the value of
109(113)m - n + 229(97)n - m?
Solution :
Problem 2 :
Solution :
Problem 3 :
The given quartic function 54x4 + 219x2 + 105 has factors in the form (k)(ax2 + b)(cx2 + d). If a, b, c, d and k are integers, what is the smallest possible value of ab?
Solution :
Problem 4 :
If y4 = 80 and z5 = 32, what is the value of y8 ⋅ z-5?
A) 50
B) 64
C) 160
D) 200
Solution :
Problem 5 :
A rectangular prism has a height of 50 centimeters (cm). The base of the prism is a square and the surface area of the prism is S cm2. If the prism is divided into two identical rectangular prisms by making a cut parallel to the square base, each resulting prism has a surface area of (³¹⁄₅₆)S cm2. What is the side length, in cm, of each square base?
A) 5
B) 6
C) 12
D) 24
Solution :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solutions (Part - 2)
Digital SAT Problems and Solutions (Part - 3)
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