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

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "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. Good luck!

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Question 1
1.
Which answer is the contrapositive to the following statement?

If Bruce smokes cigars, he will get cancer.

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Question 2
2.
What is the solution to the following polynomial division problem?

(*x* - 4*x* + 4) / (*x* - 2)

*x*- 4

*x*+ 4) / (

*x*- 2)

#### Question 3 3. Given a right triangle ABC, if the size of its smallest angle is 35 degrees, what is the size of its next smallest angle?

#### Question 4 4. Shown below is a table of colleges with their revenue from Hockey. Which two schools generated more than $10.0 million in revenue ?

#### Question 5 5. On a 5 question, multiple-choice test, what is the probability that you will get at least one problem correct while guessing? Each question has 5 choices.

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#### Question 6 6. At a local ice cream parlor, there are 6 different flavors of ice cream from which to select (strawberry, chocolate, vanilla, rocky road, mint chocolate chip, and peanut butter). Each ice cream sundae must include 2 different flavors of ice cream; what is the probability that the next customer's sundae will have vanilla and chocolate?

#### Question 7 7. Evaluate h(x) = 5x + 1, when x=3.

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Question 8
8.
Find the inverse of the following function:

f(x) = 2x + 1

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Question 9
9.
The graph of parabola f(*x*) is shifted 3 places right and 2 places up. The formula for the new graph is _____

#### Question 10 10. Line B contains points (5,11) and (10,36). Determine the slope of line B.

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Question 11
11.
Solve the following system of equations:

2x-3y=21 & 5x+4y=18

#### Question 12 12. Which line would have its graph fall exactly on top of the x-axis?

#### Question 13 13. What is the least common multiple of 8, 9 and 12?

#### Question 14 14. What is the prime factorization of 4050?

#### Question 15 15. What is the special name for the coordinate (0,0)?

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#### Question 16 16. Solve for x.

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Question 17
17.
Solve for x:

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

#### Question 18 18. Subtract and simplify.

#### Question 19 19. Solve the equation below.

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Question 20
20.
What is the value of *x* in this expression: *a*2 - 7*a* + *x* = (2 - *a*)(3 - *a*) ?

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#### Question 21 21. Which phrase describes a parabola that looks like an upside down U?

#### Question 22 22. Wilson Incorporated sold a house for $20,000, which they bought 10 years ago and failed to make any improvements or renovate it. If the standard rate of depreciation of the house is 10% each year, how much did Willson Incorporate originally pay for the house?

#### Question 23 23. Solve for x:

#### Question 24 24. Evaluate the logarithm below to 2 decimal places.

#### Question 25 25. A compound inequality where both conditions must be true for the solution to work, or when the absolute value is less than, is called a(an) _______ compound inequality.

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#### Question 26 26. An open dot on a number line signifies that _____.

#### Question 27 27. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

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Question 28
28.
Which type of logical fallacy is illustrated below?

This chocolate pie must be bad because nobody is taking it.

#### Question 29 29. The converse of a logical statement is found by doing what?

#### Question 30 30. Which statement is an example of circular reasoning?

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Question 31
31.
Which is the predicate of the following categorical proposition?

Some dogs are jumpers.

#### Question 32 32. How many children and teens eat bananas?

#### Question 33 33. Use the Venn Diagram. Fill in the box with the correct answer.

#### Question 34 34. Given the triangle PQE, calculate the measure of Angle Q.

#### Question 35 35. What is the perimeter of the pictured square?

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#### Question 36 36. What is the type of line that touches but doesn't cross a circle called?

#### Question 37 37. Which number is represented by the graph below?

#### Question 38 38. Simplify:

#### Question 39 39. What would be the first step in dividing the complex numbers below?

#### Question 40 40. Which of the following is an example of the exponent property 'Power of a Product'?

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#### Question 41 41. Simplify the expression using positive exponents.

#### Question 42 42. Which of the following would be true regarding the following exponential expression?

#### Question 43 43. Divide using synthetic division.

#### Question 44 44. Divide the following polynomials:

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Question 45
45.
Subtract: (*x*2 + 3*x* + 4) - (7*x*2 - 5*x* + 2)

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#### Question 46 46. 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?

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Question 47
47.
For f(*x*) = 2*x*3 and g(*x*) = *x*2 + 4*x*, what is g(*x*)/f(*x*) ?

#### Question 48 48. Horizontal lines have a slope that is _____.

#### Question 49 49. The points on either end of a line segment are called _____.

#### Question 50 50. Divide the following rational expressions.

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

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "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. Good luck!