# NES Mathematics (304): Practice & Study Guide Final Exam

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#### Question 1 1. Using the given data, solve for y.

#### Question 2 2. How many discontinuities are in the function f(x) = x/(x^2-x-3)?

#### Question 3 3. Which type of transformation is shown here?

#### Question 4 4. Use the given graph and formula to solve for z.

#### Question 5 5. The listed price of a dress is $59.99. If the tax is 8%, what is the total cost?

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#### Question 6 6. Wendy lost 7.8 pounds in four weeks. Four weeks ago she weighed 130.4 pounds. How much does Wendy weigh now?

#### Question 7 7. Julie wants to understand the growth rates of children in kindergarten. She asks a local elementary school for their help, and she takes the measurements of 45 kindergartners throughout the year. She finds that the children grow at a rate of 2-4 inches over the year, while the national research shows that children of that age grow at a rate of 2-3 inches per year. Identify the population, sample, statistic, and parameter in this scenario.

#### Question 8 8. Solve sin x = -1.

#### Question 9 9. Trigonometric identities are what kind of statements?

#### Question 10 10. The limit of f(x) = x^2 * log (x) for x>=0 is 0 for how many values of x?

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#### Question 11 11. Solve:

#### Question 12 12. Simplify

#### Question 13 13. How many solutions does the cosine function have between 2pi and 4pi?

####
Question 14
14.
Let set M = {1, 3, 4, 5}

Let set R = {4, 6, 7}

Find.

#### Question 15 15. How many components does this graph have?

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#### Question 16 16. Which of the following answers is out of range for the arctangent function?

#### Question 17 17. Analyze the following statements and indicate which one best describes the difference between the population and the sample.

#### Question 18 18. How do you write the limit of the function g(k) as the variable k approaches the constant C?

#### Question 19 19. Which of the following is the inverse of this matrix?

#### Question 20 20. Which of the following describes what a matrix looks like?

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#### Question 21 21. Solve sin^2 (x) + tan (x) + cos^2 (x) = 0 for x between 0 and pi.

#### Question 22 22. Which of the following demonstrates the product rule for multiplying radical expressions?

#### Question 23 23. How do descriptive and inferential statistics differ?

#### Question 24 24. Use the Venn Diagram. Fill in the box with the correct answer.

#### Question 25 25. How many times are you allowed to pass an edge in an Euler path or circuit?

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#### Question 26 26. Marco is conducting an experiment on training certain breeds of dogs. He wants to know how long, on average, it would take to teach a Labrador to fetch an object. He gets a group of dogs to conduct his experiment. 5 of the dogs are Labradors and 3 of the dogs are Dalmatians. What is the population and sample in this experiment?

#### Question 27 27. Sandra is selling her new line of all natural make-up products and wants to know the popularity of certain colors among teenagers. She hands out a survey to all of the students in her teenager daughter's class and asks them to identify their favorite make up colors. Which is the population and which is the sample in this scenario?

#### Question 28 28. Round 9.43056 to three decimal places.

#### Question 29 29. Which step below shows an error in solving for the distance between the two points (3,4) and (-3,2)?

#### Question 30 30. How many Euler paths does this graph have?

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#### Question 31 31. The points on either end of a line segment are called _____.

#### Question 32 32. What is data that cannot be divided, it is distinct and can only occur in certain values?

#### Question 33 33. What are the regions of continuity in the graph of f(x) below?

#### Question 34 34. Use the Venn Diagram.

#### Question 35 35. Which of the following is true?

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#### Question 36 36. What symbols do we use to enclose a matrix?

#### Question 37 37. Simplify

#### Question 38 38. Harry ate 2.5 more hot dogs than Frank. Frank only ate 1.5 hot dogs. How many hot dogs did Harry eat?

#### Question 39 39. What is 4% as a decimal?

#### Question 40 40. Solve cos x - 1 = 0.

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####
Question 41
41.
Solve the following equation for *x*.

#### Question 42 42. You have 100 ft of fencing to use to enclose part of a yard. You first choose to enclose the yard with a rectangular pen 'w' feet in width and 'd' feet in depth. As a function of 'w', what is the equation for the area that you can enclose using 100 ft of fence?

#### Question 43 43. Which two are examples of descriptive statistics?

#### Question 44 44. Which set is an infinite set?

#### Question 45 45. A coach records the levels of ability in martial arts of various kids. What type of data is this?

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#### Question 46 46. Multiply:

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Question 47
47.
You are designing a cylindrical package. You can spend $4 on packaging, which costs $0.10 square cm. You would like to determine the maximum volume that you can contain in a cylinder that costs less than $4.

What are the equations for the surface area and volume of this cylinder?

#### Question 48 48. How many vertices can be odd in a Eulerian graph?

#### Question 49 49. 9*.25 = ?

#### Question 50 50. Which of the following is NOT a step that is required in order to solve optimization problems?

#### NES Mathematics (304): Practice & Study Guide Final Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!