# Math 102: College Mathematics Final Exam

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#### Question 1 1. Rewrite the quadratic below in standard form and find the value of 'a'.

#### Question 2 2. What would the first step be in completing the square of the following equation?

#### Question 3 3. When completing the square on the quadratic equation listed below, how is c calculated?

#### Question 4 4. Which of the following is an example of the exponent property 'Power of a Product'?

#### Question 5 5. Simplify the expression using positive exponents.

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#### Question 6 6. Simplify using ONLY positive exponents.

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Question 7
7.
Which is the predicate of the following categorical proposition?

Some dogs are jumpers.

#### Question 8 8. Use the Venn Diagram.

#### Question 9 9. Use the Venn Diagram.

#### Question 10 10. Multiply the following rational expressions.

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#### Question 11 11. Solve the following rational equation.

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Question 12
12.
Solve for x:

(6/(x+3)) + (7/(x+4)) = 116/(2x^2+14x+24)

#### Question 13 13. Find the Least Common Multiple of 12 and 15.

#### Question 14 14. Find the distance between the two points (4, 1) and (10, 9).

#### Question 15 15. What is the prime factorization of 32?

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#### Question 16 16. Which part of the logarithmic expression shown is the base?

#### Question 17 17. The inverse operation of a log is a(an) _____.

#### Question 18 18. Logarithmic properties are similar to the _____ property of multiplication.

#### Question 19 19. 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 20 20. Using this chart, determine the percent increase of bus riders.

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#### Question 21 21. The number of goals scored by 5 hockey teams is 115,87,78,64 and 58. What is the median number of goals scored?

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Question 22
22.
Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

#### Question 23 23. Choose the graph corresponding to line 4X -Y = - 8

#### Question 24 24. What are the coordinates of the x-intercept of the equation 2x-3y=8?

#### Question 25 25. Given the figure below, Angle 3 = 140y and Angle 5 = 80y + 70. Determine the value of y.

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#### Question 26 26. What is the area of the pictured rectangle?

#### Question 27 27. A baseball diamond has 90 feet between each base. How far will the catcher standing at home plate throw the ball across the diagonal to the second baseman at 2nd plate?

#### Question 28 28. Which of the options is a simplification of the following?

#### Question 29 29. If f(x)/g(x) provide the following z(x), find the value of k.

#### Question 30 30. For which of the following divisions is the remainder 6?

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#### Question 31 31. Which of the following is an imaginary number?

#### Question 32 32. Simplify.

#### Question 33 33. Simplify.

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Question 34
34.
Find the inverse of the following function:

f(x) = 2x + 1

#### Question 35 35. Evaluate.

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#### Question 36 36. Find the domain of f(x)/g(x), if:

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Question 37
37.
p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

#### Question 38 38. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 39
39.
If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

Which of the following represents the conclusion in the above conditional statement?

#### Question 40 40. Which system of inequalities is represented by shaded part of the graph?

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#### Question 41 41. Which of the following number lines represents the solution for x in the inequality 3-2x > 11?

#### Question 42 42. A mathematician goes shopping and sets his budget (in dollars) using the following set notation {x | x > 50 and x < 75} where x is the amount he will spend. Which of the following is within his budget?

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Question 43
43.
The points that intersect the *x*- or *y*-axis are called the _____.

#### Question 44 44. Which of the following would be true regarding the following exponential expression?

#### Question 45 45. Use the Venn Diagram.

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Question 46
46.
Solve for x:

(2/(x+5)) - (1/(x-5)) = -28/(x^2-25)

#### Question 47 47. What is the shorthand way of writing the least common multiple?

#### Question 48 48. 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?

#### Question 49 49. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.

#### Question 50 50. Find the equation of the line parallel to Y = 7X +3 and passing through the point (2, 27).

#### 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!