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# TASC Mathematics: Prep and Practice Final Exam

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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Question 1
1.
A right triangle has a base of 12 units and a vertical side measuring 8 units. If a horizontal line measuring 9 units is drawn, what is the area of the smaller triangle formed?

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Question 2
2.
A teacher plotted the scores of his students in a test and found that it followed a curve similar to a normal distribution. To confirm whether it is indeed a normal distribution, what is one of the steps that the teacher must do?

#### Question 3 3. A trucking company is offering a customer three different pricing options. Under which plan will the customer spend the least amount of money if her business requires a daily travel distance of 350 km?

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Question 4
4.
The table shows the proportional relationship between the number of hours, *x*, spent digging and the depth, *y*, of a hole in the ground. How many hours will it take to reach a depth of 49 meters?

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Question 5
5.
Two complementary angles measure (2*x* - 3)° and (3*x* + 8)°. What is the measurement of the two angles?

*x*- 3)° and (3

*x*+ 8)°. What is the measurement of the two angles?

#### Question 6 6. Given the values shown in the table above, what is the value of (f o g)(3)?

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Question 7
7.
A boy kicked a ball from atop a building, throwing it in a direction that follows an inverted parabola. If the path of the ball can be modeled by the function, where *y* is the height in meters and *x* is the time in seconds, how long will it take for the ball to reach the ground?

#### Question 8 8. How many millimeters are in 10 kilometers?

#### Question 9 9. What is the equation of the function shown in the graph?

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Question 10
10.
If 2*y* x 3*x* = 8 and 2*x* x 3*y* = 27, what is the value of *x* + *y*?

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Question 11
11.
Given the algebraic expression 2*x* + 3 = *y* + 5, what is the value of 2*x* - 3?

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Question 12
12.
What are the two parts of a complex number?

#### Question 13 13. Which of the following statements is TRUE about absolute values?

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Question 14
14.
Find a polynomial function p(*x*) of least degree having 2 and 4 as simple roots, with ?1 being a zero of multiplicity two, and p(1) = 3.

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Question 15
15.
The population of a bacteria can be modeled by the function, where *x* is the time in hours. If the number of colonies can be modeled by the function N = *x*2 - *x* + 2, what function can be used to determine the number of bacteria per colony?

#### TASC Mathematics: Prep and Practice 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!