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# FTCE Mathematics 6-12 (026) Prep Final Exam

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#### Question 1 1. The number of solutions of this equation is:

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Question 2
2.
What is the domain of the given piecewise function?

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Question 3
3.
A 26-letter alphabet flash card pack contains 5 vowels. What is the probability of drawing two consonant cards without replacement?

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Question 4
4.
What is the surface area of a sphere if its volume is equal to 288π cubic units?

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Question 5
5.
Solve for the value of *x*:

#### Question 6 6. Which of the following graphs corresponds to the absolute value inequality?

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Question 7
7.
A teacher is about to explain the solution to a problem that requires the students to identify the cheapest option among different payment options in purchasing a car. Which of the following options will be easiest for students to process?

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Question 8
8.
Let *A**B**C**D**E**F**G**H* be a regular inscribed octagon. What is the measure of the angle HKF?

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Question 9
9.
The distance between Springville and Stone City is:

Round to the nearest mile.

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Question 10
10.
At a science museum, the price of an adult ticket is $16 and a child ticket is $12. On a weekend, the museum had a revenue of $960 by selling a total of 70 tickets. How many adult tickets have been sold?

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Question 11
11.
Evaluate the volume of the solid from *x* = 0 to *x* = 2 if the curve is rotated about the *x*-axis.

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Question 12
12.
Andrew has taken out a $20,000 car loan at the monthly interest rate of 0.5%. He plans to pay $250 per month towards the loan. Which of the following represents the general term *a*n of the recursive sequence that defines Andrew's monthly loan balance, where *a*0 = 20,000 denotes the original car loan?

*a*n of the recursive sequence that defines Andrew's monthly loan balance, where

*a*0 = 20,000 denotes the original car loan?

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Question 13
13.
The triangle *M**N**P* represents the triangle *A**B**C* rotated by 180 degrees about the origin. What are the coordinates of the points *M*,*N*, and *P*?

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Question 14
14.
The regression line equation *y* = - 0.0033 *x* + 29.85 expresses the relation between the mileage (in miles per gallon) and the car weight (in pounds). What is the mileage (in miles per gallon) for a 3,200-pound car?

*y*= - 0.0033

*x*+ 29.85 expresses the relation between the mileage (in miles per gallon) and the car weight (in pounds). What is the mileage (in miles per gallon) for a 3,200-pound car?

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Question 15
15.
What is the area of a cylindrical lid with a radius of 28cm?

#### FTCE Mathematics 6-12 (026) Prep 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!