DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 194)

Problem 1 :

In the given equation, c is a constant. Which of the following is one of the solutions to the given equation?

Solution :

Problem 2 :

x – 29 = (x – a)(x – 29)

Which of the following are solutions to the given equation, where a is a constant and a is greater 30?

I.  a

II.  a + 1

III.  29

A)  I and II only

B)  I and III only

C)  II and III only

D)  I, II and III

Solution :

Problem 3 :

A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is 1089√3 square units. What is the length, in units, of the diameter of the circle?

Solution :

Problem 4 :

The function f is defined by f(x) = ax² + bx + c, where a, b and c are constants. The graph of y = f(x) in the xy-plane passes through the points (7, 0) and (-3, 0). If a is an integer greater than 1, which of the following could be the value of a + b?

A)  -6

B)  -3

C)  4

D)  5

Solution :

Problem 5 :

In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first integer is represented by x. The product of 12 and the fourth odd integer is at most 26 less than the sum of the first and third odd integers. Which inequality represents this situation?

A)  12(x + 6) ≤ x + (x + 4) – 26

B)  12(x + 6) ≥ 26 – [x + (x + 4)]

C)  12(x + 6) ≤ x + (x + 3) – 26

D)  12(x + 6) ≥ 26 - [x + (x + 3)]

Solution :

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