# College Mathematics Remediation Final Exam

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Exam Progress:

### Page 1

#### Question 1 1. Identify the number that will fill in both blanks to solve the problem by completing the square

#### Question 2 2. Below are the results of a survey which asked 50 gym members their favorite time to exercise. Were there more male or female members in the survey?

#### Question 3 3. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

#### Question 4 4. Using the following table, determine the percent increase in people who ride their bike to work.

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Question 5
5.
What kind of reasoning does the statement below illustrate?

My phone starts to ring whenever my cat starts to purr.

### Page 2

#### Question 6 6. The name Joe is very common at a school and 1 out of every 10 students go by that name. If there are 15 students in one class, what is the probability that at least one of them is named Joe?

#### Question 7 7. Which slope intercept form equation is equivalent to the standard form equation -x+2y=-8?

#### Question 8 8. The license plates of a state are 6 digits long and may include all 26 letters and numbers 1-9. License plates never contain two of the same number or two of the same letter. What is the probability that a license plate selected at random will not contain any numbers?

#### Question 9 9. Look at the graph. What is the solution to the system of equations?

#### Question 10 10. An open dot on a number line signifies that _____.

### Page 3

#### Question 11 11. A line with a positive x-intercept and a positive y-intercept has a slope that is

#### Question 12 12. For which of the following trinomials can completing the square can be done without having to do any extra work on it?

#### Question 13 13. Use the following information to answer the question.

#### Question 14 14. Solve the following inequality.

#### Question 15 15. Solve 6x^2 - 5x - 6 = 0

### Page 4

#### Question 16 16. What is the special name for the coordinate (0,0)?

#### Question 17 17. What is the probability of being dealt a flush (5 cards all of the same suit) from a standard 52-card deck?

#### Question 18 18. Which number is represented by the graph below?

#### Question 19 19. What is the area of the pictured rectangle?

#### Question 20 20. A solid line on the coordinate plane signifies that _____.

### Page 5

#### Question 21 21. Find the axis of symmetry for the following parabola y = 2x^2 - 6x + 3

#### Question 22 22. Simplify 2^-3

#### Question 23 23. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mean number of medals that the United States won during these Olympic Games.

#### Question 24 24. Simplify

#### Question 25 25. Greg is standing next to a 40 ft. tree. The sun casts a 5 ft. shadow of Greg, who is 6.4 ft. tall. How long is the tree's shadow?

### Page 6

#### Question 26 26. Expand the logarithm:

#### Question 27 27. Which of the following is equivalent to the following expression?

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Question 28
28.
Write the inverse of the following statement.

If Sue sees a goat, then Sue milks the goat.

####
Question 29
29.
Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

#### Question 30 30. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the median number of medals that the United States won during these Olympic Games.

### Page 7

#### Question 31 31. Find the prime factorization of 120

#### Question 32 32. 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 33 33. If the graph below has the equation Ax+By=-4, what must be true about A and B?

####
Question 34
34.
Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and and 3 jazz CDs.

What is the probability that Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

#### Question 35 35. Given the figure below, Angle 3 = 140y and Angle 5 = 80y + 70. Determine the value of y.

### Page 8

#### Question 36 36. Which criteria is required for a problem to be a quadratic inequality?

#### Question 37 37. In Mr. Martin's math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected?

#### Question 38 38. If f(x) = ab^x, f(2) = 480 and f(5) = 30,720, then a = _____.

#### Question 39 39. How do you determine whether a function is an inverse of another function?

#### Question 40 40. Solve the rational equation.

### Page 9

#### Question 41 41. Below are the results of a survey which asked 50 gym members their favorite time to exercise. How many people prefer to exercise outside of their work hours?

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Question 42
42.
An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

####
Question 43
43.
Find the inverse function of:

y = 1/x

#### Question 44 44. Which line has the greatest slope?

#### Question 45 45. Which graph does NOT represent a system of equations?

### Page 10

#### Question 46 46. Multiply (3y + 1) ( 4y - 5)

#### Question 47 47. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

#### Question 48 48. Divide using any method

#### Question 49 49. A right triangle has a leg of length 8 and a hypotenuse of length 13. How long is the other leg?

#### Question 50 50. Which of the following is written in Function Notation?

#### College Mathematics Remediation 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!