# Math 102: College Mathematics Final Exam

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#### Question 1 1. The solution set is all values of x, such that x is greater than 30, and less than 45. Express the solution set for this compound inequality using set notation.

#### Question 2 2. What does a closed dot on a number line signify?

#### Question 3 3. This graph corresponds to which inequality?

#### Question 4 4. Which of the following shows the graph of the equation below?

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Question 5
5.
Subtract: (*x*2 + 3*x* + 4) - (7*x*2 - 5*x* + 2)

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#### Question 6 6. Solve the following:

#### Question 7 7. Which of the following describes the 'composite' of two functions?

#### Question 8 8. Which set of ordered pairs is NOT a function?

#### Question 9 9. What is the inverse function of f(x) = 3(x - 2)3?

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Question 10
10.
Simplify the following expression:

((2-12p)/(p^2+p-12))+((15p-9)/(p+4))

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#### Question 11 11. Multiply the following rational expressions.

#### Question 12 12. Divide the following expressions:

#### Question 13 13. Which categorical proposition is written in the A form?

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Question 14
14.
Which is the predicate of the following categorical proposition?

Some dogs are jumpers.

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

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#### Question 16 16. What are the coordinates of the x-intercept of the equation 2x-3y=8?

#### Question 17 17. What is the slope-intercept form equation of the graph below?

#### Question 18 18. What is the solution to the system of equations shown in the graph below?

#### Question 19 19. The coordinates of rectangle ABCD are A (0,2), B (4,8), C (7,6) and D (3,0). Find the distance between points A and C.

#### Question 20 20. What is the special name for the coordinate (0,0)?

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#### Question 21 21. Which of the following is NOT true regarding the Cartesian plane?

#### Question 22 22. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 23 23. Which of the following expressions are equivalent to each other?

#### Question 24 24. Evaluate the logarithm below:

#### Question 25 25. Simplify.

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#### Question 26 26. Solve the equation below:

#### Question 27 27. What is the most simplified form of the expression below?

#### Question 28 28. Which of the following is a conditional statement?

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Question 29
29.
Which type of logical fallacy is illustrated below?

Everyone in the class agrees that if x = 2 and y = 2, then x must equal y.

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Question 30
30.
How many propositions are there in the statement below?

I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen television.

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#### Question 31 31. Why can't you solve a quadratic equation simply by using inverse operations to get the variable by itself?

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Question 32
32.
What are the values for *x* that make this inequality true: *x*2 + 2*x* + 1 >0 ?

#### Question 33 33. Solve the following inequality.

#### Question 34 34. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

#### Question 35 35. Using this chart, determine the percent increase of bus riders.

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#### Question 36 36. Using a standard deck of cards, what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

#### Question 37 37. Simplify using ONLY positive exponents.

#### Question 38 38. The following is a simplification of:

#### Question 39 39. Which of the following is true regarding negative exponents?

#### Question 40 40. What is the area of the pictured triangle?

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#### Question 41 41. Which of the following is a pair of parallel lines?

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Question 42
42.
Rectangle HYGT has a perimeter of 170 inches. If the height is 10*x* - 7 and the width is 6*x* + 12, how wide is the rectangle?

#### Question 43 43. An open dot on a number line signifies that _____.

#### Question 44 44. Which of the following functions best describes this graph?

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Question 45
45.
Find the inverse of the following function:

f(x) = 2x + 1

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#### Question 46 46. Solve the rational equation.

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Question 47
47.
Let set A = {1}

Let set B = {a, b, c, d, e}

Find A x B.

#### Question 48 48. What is the equation of a line with slope of 2 and a y-intercept of -6?

#### Question 49 49. Find the distance between (-2, 1) and (1, 5).

#### Question 50 50. Which of the following logarithms is evaluated with -4?

#### 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!