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# ILTS Middle Grades (5-8) Mathematics (202): Study Guide & 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. A 10-foot-long pole is positioned vertically to lean against a house that is on flat level ground. If the base of the pole is located 4 feet horizontally away from the base of the house, at what height does the top of the pole make contact with the house?

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Question 2
2.
What is the solution for *x* in the following inequality?

-5*x* - 8 < -33

*x*in the following inequality?

*x*- 8 < -33

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Question 3
3.
What is the correct answer to the following complex number division operation?

(9 - 9i) / (5 + 2i) = ?

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Question 4
4.
What is the solution for *x* and *y* in the following system of equations?

*y* = 2*x* + 3 and *y* = -*x* + 15

*x*and

*y*in the following system of equations?

*y*= 2

*x*+ 3 and

*y*= -

*x*+ 15

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Question 5
5.
What is the *y*-intercept of the inverse function of f(*x*) = 4*x* - 9?

#### Question 6 6. The number of aces that a tennis player served during his last five matches is {6, 1, 8, 11, 2}, respectively. What is the mean number of aces he served per match this period?

#### Question 7 7. Which of the following logarithmic expressions is equivalent to log base 10 (81)?

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Question 8
8.
Which number property is demonstrated by the following equation?

45 × (17 - 5*x*) = 765 - 225*x*

*x*) = 765 - 225

*x*

#### Question 9 9. There are 20 gumballs in a gumball machine (5 red, 2 white, 7 green, 3 pink, and 3 black). What is the probability that the next gumball that the machine will dispense will be pink?

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Question 10
10.
A linear model estimates that the regression line for the number of pounds *y* that a person will lose each day by running *x* miles on a treadmill is *y* = 0.412*x*+ 0.08. How many pounds will Tom lose if he runs 5.5 miles on the treadmill today?

#### Question 11 11. Which of the following numbers is the largest prime factor of 99?

#### Question 12 12. If the area of a circle is 660 square meters, what is its circumference?

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Question 13
13.
What is the domain of the following function?

3*x*^2 + 1 / *x* + √(2*x*) = 0

*x*^2 + 1 /

*x*+ √(2

*x*) = 0

#### Question 14 14. The State of Indiana imposes a 7% sales tax on goods purchased from most retail stores. If Russ paid $17.63 in sales tax during his most recent purchase, what was the price of the goods he purchased?

#### Question 15 15. What transformation happens to this function?

#### ILTS Middle Grades (5-8) Mathematics (202): Study Guide & 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!