B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Bachelor of Liberal Arts For Math 2 — Questions and Answers
Question 1: What is the derivative of f(x) = 3x⁴ - 2x² + 5x - 7?
- 12x³ - 4x + 5 (Correct answer)
- 12x³ - 4x - 7
- 3x³ - 2x + 5
- 12x⁴ - 4x² + 5
Correct answer: 12x³ - 4x + 5
Using the power rule, the derivative is 12x³ - 4x + 5.
Question 2: Which of the following is a prime number?
- 91
- 87
- 97 (Correct answer)
- 77
Correct answer: 97
97 is prime; 91 = 7×13, 87 = 3×29, and 77 = 7×11.
Question 3: In a right triangle, if one leg is 5 and the hypotenuse is 13, what is the other leg?
Correct answer: 12
By the Pythagorean theorem: √(13² - 5²) = √(169 - 25) = √144 = 12.
Question 4: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 360°
Correct answer: 720°
The sum of interior angles of an n-gon is (n-2)×180°; for n=6: 4×180° = 720°.
Question 5: If log₂(x) = 5, what is x?
- 10
- 25
- 32 (Correct answer)
- 16
Correct answer: 32
log₂(x) = 5 means 2⁵ = x, so x = 32.
Question 6: What is the median of the data set {3, 7, 9, 2, 5, 8, 1}?
Correct answer: 5
Ordered: {1, 2, 3, 5, 7, 8, 9}; the middle (4th) value is 5.
Question 7: Which expression is equivalent to (x + 3)(x - 3)?
- x² + 6x + 9
- x² - 9 (Correct answer)
- x² + 9
- x² - 6x - 9
Correct answer: x² - 9
This is a difference of squares: (x + 3)(x - 3) = x² - 9.
