AS Associate Of Science In Mathematics

Question 1

What is the value of the derivative of f(x) = 3x² + 5x − 2 at x = 2?

Accepted Answer

17

Answer

10

Answer

12

Question 2

Which of the following is the correct definition of a limit in calculus?

Accepted Answer

The value a function approaches as the input approaches a given value

Answer

The exact value of a function at a given point

Answer

The maximum value of a function on an interval

Answer

The slope of the tangent line at a point

Question 3

What is the solution to the system of equations: 2x + y = 7 and x − y = 2?

Accepted Answer

x = 3, y = 1

Answer

x = 2, y = 3

Answer

x = 4, y = −1

Answer

x = 1, y = 5

Question 4

What is the formula for the area of a circle with radius r?

Accepted Answer

πr²

Answer

2πr

Answer

πd

Answer

2πr²

Question 5

Which of the following correctly states the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

a² + c² = b²

Answer

a + b = c

Answer

a² − b² = c²

Question 6

What is the probability of rolling a sum of 7 with two standard six-sided dice?

Accepted Answer

6/36

Answer

1/6

Answer

5/36

Answer

7/36