# CLEP College Mathematics: Study Guide & Test Prep Final Exam

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#### Question 1 1. The GCF and LCM can be the same for two different numbers

#### Question 2 2. Simplify

#### Question 3 3. Which one of these functions has a domain of all real numbers?

#### Question 4 4. Add the following rational expressions.

#### Question 5 5. Which of the following shows the graph of the equation below?

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Question 6
6.
Which of the following connectors is the logical conjunction?

A. AND

B. OR

#### Question 7 7. For the line Ax + By = C, where A & B are both nonzero and C = 0, which of the following must be true?

#### Question 8 8. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's?

#### Question 9 9. Using the function below, evaluate g(7).

#### Question 10 10. Completing the square involves changing a quadratic equation from standard form into _____.

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#### Question 11 11. The rate of depreciation on a car is 10% per year. The car was purchased for $15,000. After 5 years, what is its approximate value?

#### Question 12 12. Use the quadratic formula to find the solutions to the equation below.

#### Question 13 13. For the following function, find f(f(x)):

#### Question 14 14. The pictured shape is a:

#### Question 15 15. Which of the following is equivalent to the following expression?

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Question 16
16.
What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

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Question 17
17.
Find the standard deviation for the following data set:

16, 20, 14, 24, 16, 19, 30, and 8

#### Question 18 18. How is the value of pi calculated?

#### Question 19 19. Simplify the expression using positive exponents.

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Question 20
20.
What kind of reasoning does the statement below illustrate?

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

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#### Question 21 21. Which of the following are the solutions to the equation below?

#### Question 22 22. Divide using Synthetic Division

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Question 23
23.
Which form is the following statement?

All equilateral triangles are isosceles.

#### Question 24 24. Which of these equations represents a line that is perpendicular to the line in the graph below?

#### Question 25 25. Jeremy's goal is to jog around the neighborhood park four times. If the park has four sides and each side is 100 meters, how many meters will Jeremy jog?

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#### Question 26 26. Jim can mow a yard in 2 hours. When working together with Bill, it takes them 1.5 hours. How long would it take Bill, by himself, to mow the yard?

#### Question 27 27. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

#### Question 28 28. Find the midpoint of the line segment with endpoints (-3,-1) and (1,6).

#### Question 29 29. Divide using synthetic division.

#### Question 30 30. Evaluate the logarithm below:

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#### Question 31 31. Which kind of transformation stretches or shrinks the graph of the function?

#### Question 32 32. The chart below shows the market share (%) of the 5 largest US cell phone providers in Q2, 2014. Out of 348.6 million total subscribers, approximately how many are on Sprint?

#### Question 33 33. Given the figure below, Angle 4 = 12m - 4 and Angle 5 = 10m + 20. Calculate the measure of Angle 5.

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Question 34
34.
Form a conjunction from the following two statements.

It will rain tomorrow.

Tomorrow is Sunday.

#### Question 35 35. Divide using synthetic division.

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#### Question 36 36. If a cookie sheet holds 6 cookies along one side and 4 cookies along the other, how many cookies can it hold in total?

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Question 37
37.
In the right triangle pictured below, what is the value of angle *x*?

#### Question 38 38. Use f(x) and g(x) given below to find g(x) - f(x): f(x) = -x + 5 and g(x) = 3x + 2

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Question 39
39.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

#### Question 40 40. Expressing the equation below in the vertex form will give a value of 'h' = _____ .

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#### Question 41 41. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.

#### Question 42 42. Simplify the expression below using positive exponents only.

#### Question 43 43. For the following functions f(x) and g(x), find f(g(x))

#### Question 44 44. What is the probability of drawing a red card or a face card when selecting one card from a standard 52-card deck?

#### Question 45 45. Simplify.

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#### Question 46 46. Which of the following is a conditional statement?

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Question 47
47.
Re-write the following statement in IF-THEN form.

A triangle is equilateral if and only if all three sides have the same length.

#### Question 48 48. Solve 5x^2 - 4x + 1 = 0

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Question 49
49.
In math, *i* equals _____.

#### Question 50 50. Solve -4 < 2x - 4 < 6

#### CLEP College Mathematics: Study Guide & Test Prep 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!