# MTLE Mathematics: Practice & Study Guide Final Exam

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#### Question 1 1. What is the solution of the following inequality?

#### Question 2 2. Which of the following values represents an irrational number?

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Question 3
3.
What are the roots of the following equation? *x*^2 - 10*x* + 24 = 0

#### Question 4 4. What is the measure of a single interior angle within a regular octagon?

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Question 5
5.
A truck is traveling at a constant velocity of 45 miles/hour up a hill whose incline angle is 27 degrees as measured from the horizontal *x*- axis. What is the vertical component of the truck's velocity in the *y*- axis direction?

#### Question 6 6. What is the next term in the following sequence? ( 8, 256 , 8192, 262144…)

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Question 7
7.
What is the slope of the function f(*x*) = 7*x*^3 - 15*x*^2 - 24*x* + 5 when *x* = 4 ?

#### Question 8 8. Which of the following logarithmic expressions is equivalent to log base 10 (125)?

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Question 9
9.
Which of the following equations is the inverse of the function f(*x*) = ( *x* + 12 ) / 20 ?

#### Question 10 10. What is the arc length of a sector that is bounded by 80 degrees of a circle if the diameter of the circle is 50 centimeters?

#### Question 11 11. A bouquet of wedding flowers contains 4 roses, 3 tulips, 5 lilies, and 6 hydrangeas. A young girl is permitted to blindly select one of the flowers for herself. What is the probability that the young girl will select a rose or a tulip?

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Question 12
12.
What is the correct answer to the following complex number division operation:

( 12 - 3i ) / ( 4 + 8i ) = ?

#### Question 13 13. What is the determinant of the following matrix?

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Question 14
14.
What is the domain of f(*x*) = e^( 2 *x* ) × ( *x* - 4 ) / ( *x* - 8 )

#### Question 15 15. 14 books must be placed in a small two-shelf bookcase, 7 books to a shelf. How many different book arrangements are possible with this arrangement?

#### MTLE Mathematics: 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!