# AEPA Mathematics (NT304): Practice & Study Guide Final Exam

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

####
Question 1
1.
What is the sum of the first 11 terms in the following sequence?

(4, 28, 196, 1372 …)

#### Question 2 2. What is the solution of the following inequality?

####
Question 3
3.
Which mathematical operation should be performed first in the following equation to arrive at the correct answer?

5/9 × 12^(9 / 2^3) / 10

####
Question 4
4.
What is the domain of f(*x*) = 3 × e^(1 / *x*) × (*x* - 2) / (*x* + 5)?

#### Question 5 5. The students in a college social studies class scored the following marks (out of a maximum possible score of 100) on their final exam: 72, 93, 98, 87, 82, 65, 96, 89, 77, 99, 83, 61, 82, 69, 50. What is the mode of the exam scores?

#### Question 6 6. What is the determinant of the following matrix?

#### Question 7 7. A rectangle has four corners with the Cartesian coordinates of (2, 3) for corner 1, (5, 6) for corner 2, (11, 0) for corner 3, and (8, -3) for corner 4. What are the coordinates of the ends of the line segment that bisects the rectangle into two equally-sized squares?

#### Question 8 8. A refrigerator in the local supermarket contains the following 1-pint bottles of juices: 5 bottles of orange juice, 2 bottles of papaya juice, 3 bottles of pineapple juice, 4 bottles of apple juice, and 1 bottle of vegetable juice. What is the probability that the next bottle of juice that the supermarket sells will be either papaya or pineapple juice?

####
Question 9
9.
What are the roots of the following equation?

*x*^2 - 7*x* + 10

*x*^2 - 7

*x*+ 10

####
Question 10
10.
What is the area of a plot of land that is bounded by a) parallel linear streets with due north orientations on the east and west sides of the land plot that are located 510 meters apart, b) a rectangular parking lot that is normal to said streets on the south side of the land plot, and c) railroad tracks on the north side of the land plot whose perpendicular distance *y* meters north of the parking lot is approximated by the equation *y* = 4*x* + 2, where *x* is the horizontal distance in meters from the land plot's west boundary?

#### Question 11 11. The city recreation commission wishes to build fencing to surround a 22,000 square foot playground area that has a regular octagonal shape. If the apothem of the playground area is 81.48 feet, how much fencing will be needed to enclose it?

####
Question 12
12.
A bicycle is travelling at a constant velocity of 30 miles/hour down a hill whose decline angle is 40 degrees below the horizontal *x*-axis. What is the magnitude of the vertical component of the bicycle's velocity in the *y*-axis direction?

####
Question 13
13.
A cannonball fired from a cannon that is positioned on the ground follows the path given by the equation f(*x*) = -5*x*^2 + 15*x* + 1.3, where f(*x*) is the cannonball's above-ground height in meters at time *x* in seconds. What is the maximum height that the cannonball will reach before it starts descending back towards the ground?

#### Question 14 14. Which of the following values represents an irrational number?

####
Question 15
15.
Which of the following equations is the inverse of the function f(*x*) = (4*x* - 16) / 8?

#### AEPA Mathematics (NT304): Practice & Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!