# Math 102: College Mathematics Final Exam

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Question 1
1.
Which type of logical fallacy is illustrated in the example below?

I will get an A in math class because I spent many sleepless nights studying.

#### Question 2 2. Which is the correct definition of a disjunction?

#### Question 3 3. Which of the following is a conditional statement?

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Question 4
4.
Multiply (2*x* - 5)(4*x* + 3).

#### Question 5 5. Which of the following is FALSE regarding the binomial (2x+1)(3x-7)?

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#### Question 6 6. When you are asked to factor something in a math problem, you are supposed to break a number up into its factors, which are:

#### Question 7 7. Multiply the following rational expressions.

#### Question 8 8. Divide the following expressions:

#### Question 9 9. When you divide a rational expression you must remember to _____ the second fraction.

#### Question 10 10. Which sentence best describes an 'AND' compound inequality?

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Question 11
11.
Solve and graph the following inequality:

2x + 5 > 11.

#### Question 12 12. Which inequality represents the following graph?

#### Question 13 13. How many adults picked chocolate or vanilla?

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Question 14
14.
Let set A = {sox, shoes, pants, shorts}.

Let set B = {shorts, sandals, t shirt}

Find.

#### Question 15 15. Which categorical proposition is written in the A form?

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#### Question 16 16. 6+14i is the result of which of the following?

#### Question 17 17. What is the most simplified form of the expression below?

#### Question 18 18. Simplify.

#### Question 19 19. What are the coordinates of the x-intercept of the equation 2x-3y=8?

#### Question 20 20. What is the equation of a line with slope of 2 and a y-intercept of -6?

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#### Question 21 21. Four lines are represented by equations: Y = 2X+12, Y = 4X +12, Y = 8X + 12 and Y = 12X + 12. Their graphs are randomly shown below. Which one pertains to the equation Y = 2X + 12?

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Question 22
22.
Find the variance for the following data set:

101, 106, 125, 142, 78, and 109

#### Question 23 23. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 24 24. The average price of a new vehicle sold in April 2016 was $33,560. In April 2015 it was $32,709. What was the percentage increase from April 2015 to April 2016?

#### Question 25 25. A wheelchair ramp is placed from the ground to an entryway 3 feet up the side of a building. If the distance on the ground from the ramp to the building is 20 ft, what is the length of the ramp?

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#### Question 26 26. Two triangles have one equal angle and one equal side. Which theorem can be used to prove that they are similar?

#### Question 27 27. Which combination of triangle is pictured?

#### Question 28 28. Which of the following graphs shows a line segment?

#### Question 29 29. Susana and Lawrence are running on a track, Susana finishes one lap every 5 minutes and Lawrence finishes one lap every 8 minutes. If they both start at the same time, after how many minutes will they be side by side again?

#### Question 30 30. What is the special name for the coordinate (0,0)?

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#### Question 31 31. Which of the following is equivalent to the expression below?

#### Question 32 32. 9 * x^2 * y^8 is the result of the simplification of:

#### Question 33 33. Simplify the expression using positive exponents.

#### Question 34 34. A value that a function will get infinitely close to, but never reach is called an _____.

#### Question 35 35. You're saving up for a $16,000 car. If you put $6,000 in a bank account that gives you 12% interest each year, how many years, to 1 decimal place, will it take before you have enough money for the car?

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#### Question 36 36. Mark is working on a math problem where he needs to turn multiplication on the inside into addition on the outside. Mark is applying the _____ property.

#### Question 37 37. Which graph below is a function?

#### Question 38 38. Evaluate.

#### Question 39 39. Which of the following is written in Function Notation?

#### Question 40 40. Which simplification in the options provides the following result?

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#### Question 41 41. Which of the following shows the graph of the equation below?

#### Question 42 42. This is the result of which of the following divisions presented in the options?

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Question 43
43.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

#### Question 44 44. Complete the square for the trinomial

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Question 45
45.
Simplify the following expression:

(5x/(x-2))-((4x^2+5x+21)/(x^2-5x+6))

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#### Question 46 46. What is the solution to the inequality |-8 - 6x| < 10?

#### Question 47 47. Which statement defines the O form?

#### Question 48 48. What would be the first step in dividing the complex numbers below?

#### Question 49 49. Look at the graph. What is the solution to the system of equations?

#### Question 50 50. Jimmy is making a multi-flavored drink by pouring in different flavors of soda one at a time. Jimmy has 6 different types of soda but can only put 3 types in each drink. How many different types of drinks can Jimmy make?

#### Math 102: College Mathematics 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!