DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 57)

Problem 1 :

f(x) = ax² + bx + c

In the given quadratic function, a and c are constants. The graph of y = f(x) in the xy-plane is a parabola that opens upward and has a vertex at the point (h, k), where h and k are constants. If k < 0 and f(-9) = f(3), which of the following must be true?

I. a ≥ 1

II. c < 0

A) I only

B) II only

C) I and II

D) Neither I nor II

Solution :

Problem 2 :

Which of the following is equivalent to (√a + √b)^2/3, where a > 0 and b > 0?

A)  (a + b)³ .

B)  ³√(a + b)

C)  (a + 2√ab + b)^1/3

D)  ³√(a + 2ab + b)

Solution :

Problem 3 :

Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?

A)  |x + 4| = 3

B)  |x - 4| = 3

C)  |x + 3| = 4

D)  |x - 3| = 4

Solution :

Problem 4 :

x² – ax + 12 = 0

In the equation above, a is a constant and a > 0. If the equation has two integer solutions, what is the smallest possible value of a?

Solution :

Problem 5 :

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is (7x – 610)º. The sum of the measures of one of the acute angles and three of the obtuse angles is (-14x + w)º. What is the value of w?

Solution :

You might like these

Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

Digital SAT Problems and Solutions (Part - 3)

Digital SAT Problems and Solutions (Part - 4)

Digital SAT Problems and Solutions (Part - 5)

Digital SAT Problems and Solutions (Part - 6)

Digital SAT Problems and Solutions (Part - 7)

Digital SAT Problems and Solutions (Part - 8)

Digital SAT Problems and Solutions (Part - 9)

Digital SAT Problems and Solutions (Part - 10)

Digital SAT Problems and Solutions (Part - 11)

Digital SAT Problems and Solutions (Part - 12)

Digital SAT Problems and Solutions (Part - 13)

Digital SAT Problems and Solutions (Part - 14)

Digital SAT Problems and Solutions (Part - 15)

Digital SAT Problems and Solutions (Part - 16)

Digital SAT Problems and Solutions (Part - 17)

Digital SAT Problems and Solutions (Part - 18)

Digital SAT Problems and Solutions (Part - 19)

Digital SAT Problems and Solutions (Part - 20)

Digital SAT Problems and Solutions (Part - 21)

Digital SAT Problems and Solutions (Part - 22)

Digital SAT Problems and Solutions (Part - 23)

Digital SAT Problems and Solutions (Part - 24)

Digital SAT Problems and Solutions (Part - 25)

Digital SAT Problems and Solutions (Part - 26)

Digital SAT Problems and Solutions (Part - 27)

Digital SAT Problems and Solutions (Part - 28)

Digital SAT Problems and Solutions (Part - 29)

Digital SAT Problems and Solutions (Part - 30)

Digital SAT Problems and Solutions (Part - 31)

Digital SAT Problems and Solutions (Part - 32)

Digital SAT Problems and Solutions (Part - 33)

Digital SAT Problems and Solutions (Part - 34)

Digital SAT Problems and Solutions (Part - 35)

Digital SAT Problems and Solutions (Part - 36)

Digital SAT Problems and Solutions (Part - 37)

Digital SAT Problems and Solutions (Part - 38)

Digital SAT Problems and Solutions (Part - 39)

Digital SAT Problems and Solutions (Part - 40)

Digital SAT Problems and Solutions (Part - 41)

Digital SAT Problems and Solutions (Part - 42)

Digital SAT Problems and Solutions (Part - 43)

Digital SAT Problems and Solutions (Part - 44)

Digital SAT Problems and Solutions (Part - 45)

Digital SAT Problems and Solutions (Part - 46)

Digital SAT Problems and Solutions (Part - 47)

Digital SAT Problems and Solutions (Part - 48)

Digital SAT Problems and Solutions (Part - 49)

Digital SAT Problems and Solutions (Part - 50)

Digital SAT Problems and Solutions (Part - 51)

Digital SAT Problems and Solutions (Part - 52)

Digital SAT Problems and Solutions (Part - 53)

Digital SAT Problems and Solutions (Part - 54)

Digital SAT Problems and Solutions (Part - 55)

Digital SAT Problems and Solutions (Part - 56)

Digital SAT Problems and Solutions (Part - 57)

Digital SAT Problems and Solutions (Part - 58)

Digital SAT Problems and Solutions (Part - 59)

Digital SAT Problems and Solutions (Part - 60)

Digital SAT Problems and Solutions (Part - 61)

Digital SAT Problems and Solutions (Part - 62)

Digital SAT Problems and Solutions (Part - 63)

Digital SAT Problems and Solutions (Part - 64)

Digital SAT Problems and Solutions (Part - 65)

Digital SAT Problems and Solutions (Part - 66)

Digital SAT Problems and Solutions (Part - 67)

Digital SAT Problems and Solutions (Part - 68)

Digital SAT Problems and Solutions (Part - 69)

Digital SAT Problems and Solutions (Part - 70)

Digital SAT Problems and Solutions (Part - 71)

Digital SAT Problems and Solutions (Part - 72)

Digital SAT Problems and Solutions (Part - 73)

Digital SAT Problems and Solutions (Part - 74)

Digital SAT Problems and Solutions (Part - 75)

Digital SAT Problems and Solutions (Part - 76)

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.