# MTEL Mathematics (Middle School)(47): Practice & Study Guide Final Exam

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Question 1
1.
If the line for the equation 8*x* - 3*y* = 16 is plotted on a Cartesian graph, where does the line intersect the *x*-axis?

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Question 2
2.
What are the Cartesian coordinates of the vertex of the following parabola?

10 × (*x* + 5)^2 = 7*y* - 56

*x*+ 5)^2 = 7

*y*- 56

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Question 3
3.
Given the following expression, what mathematical operation should be performed first to arrive at the correct answer?

3 × (7^2 - 5)^3 / 4

#### Question 4 4. If the circumference of a circle is 24 centimeters, what is its area?

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Question 5
5.
Given the right triangle in the figure below, what is the length of Side *C* if the lengths of Sides *A* and *B* are 24 inches and 32 inches, respectively?

#### Question 6 6. The number of stolen bases that Stan had per year during his 2013-2017 baseball seasons are (42, 27, 46, 40, and 35), respectively. What is the mean number of stolen bases per year Stan had during this period?

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Question 7
7.
The following expression is an example of which mathematical property?

(2*x* + 5) - 12 = (2*x* - 12) + 5

*x*+ 5) - 12 = (2

*x*- 12) + 5

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Question 8
8.
What is the correct simplification of the following expression?

8 × (4*x* - 7*y* - 12) - 15*x* + 49*y* + 80

*x*- 7

*y*- 12) - 15

*x*+ 49

*y*+ 80

#### Question 9 9. The local bakery sells five different flavors of cookies for 25 cents each: chocolate chip, oatmeal, peanut butter, vanilla, and gingerbread. Barry has enough money to purchase 1 cookie. What is the probability that he will purchase a peanut butter cookie?

#### Question 10 10. The value 240 is 75% of what number?

#### Question 11 11. Which of the following values is NOT a rational number?

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Question 12
12.
Given the right triangle below, what is the value of the tangent function for angle *b*?

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Question 13
13.
Given f(*x*) = 7*x*^2 - 3*x* + 11, what is the value of f(*x*) when *x* = 6?

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Question 14
14.
What are the roots of the following quadratic equation?

3*x*^2 + 8*x* = 16

*x*^2 + 8

*x*= 16

#### Question 15 15. A bicycle lock has a 5-digit combination, with the possible integers for each digit of the combination ranging from 0 to 9 and each integer value can only be used once. How many different 5-digit combinations are possible with this lock?

#### MTEL Mathematics (Middle School)(47): 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!