# 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!

#### Question 1 1. What is the correct solution to the following inequality?

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Question 2
2.
What is the next term in the following sequence?

(18, 90, 450, 2250 …)

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Question 3
3.
Which of the following equations is the inverse of *y* = (2*x* - 9) / 3?

#### Question 4 4. Which of the following values represents an irrational number?

#### Question 5 5. Given the following expression, (11 × (8^4 + 2)^2) /10, which of the following mathematical operations should be performed first to arrive at the correct answer?

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Question 6
6.
Given the right triangle in the figure below, what is the length of Side *C* if the lengths of Sides *A* and *B* are 16.7 inches and 25.3 inches, respectively?

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Question 7
7.
What is the correct solution to the following equation?

√(*x*^2 - 6*x* + 25) = 4

*x*^2 - 6

*x*+ 25) = 4

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Question 8
8.
What are the roots of the following equation?

4*x*^2 - 10*x* - 24 = 0

*x*^2 - 10

*x*- 24 = 0

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Question 9
9.
What are the Cartesian coordinates of the vertex of the parabola defined by the following equation?

*y* = 4 × (*x* - 7)^2 - 5

*y*= 4 × (

*x*- 7)^2 - 5

#### Question 10 10. Nate is the punter for his high school football team. The distances of his punts during last Friday night's game were 25 yards, 31 yards, 19 yards, and 21 yards. What was the mean distance of Nate's punts during that game?

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Question 11
11.
What is the correct answer to the following complex number division operation?

(15 - 6i) / (3 + 3i)

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Question 12
12.
What is the domain of f(*x*) = (*x* + 7) / (5*x* - 20)?

#### Question 13 13. A junior high school classroom has 5 tables, and each table contains 6 available seats. If Jim is the first student to enter the empty classroom, what is the probability that he will choose a seat that is located in either of the first 2 tables?

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Question 14
14.
Given f(*x*) = *x*^2 + *x* - 2, how would its plot on a graph change if the value 3 is added to it?

#### Question 15 15. 8 unique championship trophies must be wrapped and packed in 2 crates for long-term storage, 4 trophies to a crate. How many different packing combinations are possible?

#### 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!