B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Bachelor of Liberal Arts For Math 2

Question 1

What is the derivative of f(x) = 3x⁴ - 2x² + 5x - 7?

Accepted Answer

12x³ - 4x + 5

Answer

Using the power rule, the derivative is 12x³ - 4x + 5.

Question 2

Which of the following is a prime number?

Accepted Answer

97

Answer

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?

Accepted Answer

12

Answer

By the Pythagorean theorem: √(13² - 5²) = √(169 - 25) = √144 = 12.

Question 4

What is the sum of the interior angles of a hexagon?

Accepted Answer

720°

Answer

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?

Accepted Answer

32

Answer

log₂(x) = 5 means 2⁵ = x, so x = 32.

B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Practice Test