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Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide Final Exam

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!

Question 1 1. Which of the following equations is the inverse of the function f(x) = 6x - 5?

Question 2 2. A small projectile fired from a toy air cannon launcher follows the path given by the equation f(x) = -5x2 + 3x + 3, where f(x) is the height above its launch location at time x > 0 in seconds. What is the maximum height above its launch location that the projectile achieves?

Question 3 3.

What are the roots of the following equation?


3x2 - 6x - 18 = 0

Question 4 4.

What is the sum of the first 7 terms in the following sequence?


(1, 8, 64, …)

Question 5 5. The state lottery commission conducts a daily lottery in which individually numbered balls (numbered from 0 to 9) are pulled from a hopper containing 10 balls in order to determine the winning four-digit number. How many different four-digit numbers are possible from a single drawing?

Question 6 6. A groundskeeper applies a force of 50 Newtons to a lawn mower at an angle of 35 degrees above the horizontal direction of the ground while cutting grass. What percentage of that applied force is translated to the horizontal direction in which the lawn mower is rolling?

Question 7 7. What is the solution for the following inequality?

Question 8 8. Two cars depart simultaneously from opposite ends of a 50-kilometer-long highway. Car 1 is traveling eastward at a constant velocity of 40 kilometers per hour, and Car 2 is traveling westward at a constant velocity of 45 kilometers per hour. At what time will the two cars pass one another?

Question 9 9. A farmer wishes to buy fencing to surround a 0.25-acre regular hexagonal lot. If the apothem of the lot is 56.07 feet, how much fencing will he need to purchase?

Question 10 10. What is the area of a plot of land that is bounded by 1. linear north-south fences on its east and west sides, 2. a linear east-west fence road on its south side, and 3. a river whose distance y meters away from the road is approximated by the equation y = x3 - 2x -10 on its north side, if the value of x = 40 meters at the west fence and the value of x = 88 meters at the east fence?

Question 11 11. A rectangle has four corners with the Cartesian coordinates of (-7, -3), (-1, 3), (2, 0), and (-4, -6), as ordered in a clockwise direction. What are the coordinates of the line that bisects the rectangle into two equally sized squares?

Question 12 12. Which of the following expressions is NOT a rational number?

Question 13 13. Which of the following expressions is equal to log base 10 (25)?

Question 14 14. Fred is a student in a French class. In order for Fred to receive a C grade for the semester, he must score higher than a 65 on the final exam (out of a possible 1 to 100 score). What is the general probability that Fred will receive a C in the course?

Question 15 15. An architect built a model of a bridge on a 1:2000 scale. If the length of the model is 30 centimeters, what is the proposed length for the actual bridge?

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Ohio Assessments for Educators - Mathematics (027): 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!

Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide  /  OAE Prep
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