NYSTCE Mathematics (004): Practice & Study Guide Final Exam

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Question 1 1. A geometry class consisting of 15 students scored the following marks (on a grade scale from 0 to 100) on their midterm exam: 84, 83, 98, 77, 92, 65, 96, 89, 57, 98, 73, 61, 90, 99, 70. What is the mode of the exam scores?

Question 2 2.

What is the solution for x in the following inequality?


-7x - 3 > 60

Question 3 3. Given Set A = {4, 12, 18, 24} and Set B = {3, 9, 12, 15, 18, 24}. What is the solution to the following logical expression?

Question 4 4. How many inches are in 5.0 kilometers?

Question 5 5. What is the correct simplification of √(9x^6 y^8)?

Question 6 6. A rectangle has four corners with the Cartesian coordinates of (1, -2), (5, 2), (7, 0), and (3, -4) as ordered in a clockwise direction. What are the coordinates of the line that bisects the rectangle into two equally sized squares?

Question 7 7.

What is the simplified form of the following expression?


(5x^3 / 12y^6) / (20x^5 / 6y^7)

Question 8 8. Which of the following numbers has the greatest magnitude?

Question 9 9.

What are the roots of the following quadratic equation?


6x^2 + 12x - 18 = 0

Question 10 10. If the circumference of Circle A is equal to two-thirds of the perimeter of Square B, which of the following statements is true regarding the diameter of Circle A in relation to the length of a side of Square B?

Question 11 11. What is the area of a right triangle whose two legs are the x and y axes and whose hypotenuse is defined by the function f(x) = -2x + 16 in the interval from x = 0 inches to x = 8 inches?

Question 12 12. What is the domain of f(x) = 4x^3 / (x -7) + 1/9 × (x - 2)^2 - 14/x + 5?

Question 13 13. When utilizing the completing the square method, to convert the equation f(x) = 4x^2 - 12x + 4 = 0 into vertex form in order to determine its factors, what is the value for k (i.e. the y coordinate of the vertices of the parabola)?

Question 14 14. A cannonball fired from a cannon follows the path given by the equation f(x) = -13x^2 + 120x + 3, where f(x) is the height above its launch location in meters at time x > 0 in seconds. What is the maximum height above its launch location that the cannonball achieves?

Question 15 15. What is the inverse function of f(x) = -7x+ 3/8?

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NYSTCE Mathematics (004): 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!

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