# CLEP College Algebra: 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.
What is the domain of f(*x*) = *e*3/*x* + 2/(*x*- 12) - 5*x*?

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Question 2
2.
What is the inverse of the function f(*x*) = -3/4*x* + 6?

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Question 3
3.
Given f(*x*) = *x*2 - 10*x* - 5, how would its graph change if the constant value of 3 was added to this equation?

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Question 4
4.
What are the cartesian coordinates of the vertex of the following parabola?

y = 3(*x* + 12)2 + 8

*x*+ 12)2 + 8

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Question 5
5.
What are the roots of the following quadratic equation?

2*x*2 + 5*x* - 7 = 0

*x*2 + 5

*x*- 7 = 0

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Question 6
6.
What is the fourth term of the expansion of the following binomial?

(*x* - 3*y*)5

*x*- 3

*y*)5

#### Question 7 7. Two boats, Boat A and Boat B, leave a boat dock, with Boat B departing 15 minutes after Boat A. Boat A maintained a constant speed of 15 miles per hour while traveling the 10-mile distance across the lake, while Boat B maintained a constant speed of 25 miles per hour over the same route. At what mile location of the route did Boat B pass Boat A?

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Question 8
8.
If the line for the equation 6*x* - 11*y* = 24 is plotted on a Cartesian graph, where does the line intersect the *x*-axis?

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Question 9
9.
Which of the following expressions is equal to log base 10 (*e*2), where *e* is the base value of the natural logarithm?

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Question 10
10.
What is the value of the next term in the following arithmetic sequence?

(3, 15, 27, 39, ?)

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Question 11
11.
What is the solution for *x* in the following inequality?

-3*x* - 3 > 24

*x*in the following inequality?

*x*- 3 > 24

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Question 12
12.
Which value is a root of the following equation?

2*x*3 - 8*x*2 + 10*x* - 12 = 0

*x*3 - 8

*x*2 + 10

*x*- 12 = 0

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Question 13
13.
Which of the following values is a solution for *x* in this algebraic expression?

(2*x* + 4)2 - (6*x*)2 / 2*x* - 10*x* / 5 = 80

*x*in this algebraic expression?

*x*+ 4)2 - (6

*x*)2 / 2

*x*- 10

*x*/ 5 = 80

#### Question 14 14. What is the solution for the following inequality?

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Question 15
15.
Which is the correct answer to the following complex number division operation?

(9 - 2i) / (4 + 2i)

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#### Question 16 16. The image is the graph of the line Ax + By = -5. Which of the following represents the correct signs for the coefficients of A and B?

#### Question 17 17. What is the slope of the horizontal line y = -3?

#### Question 18 18. Which of the following is equivalent to the following expression?

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

#### Question 20 20. In the equation 5x2-5x-30=-20, x is equal to which of the following numbers?

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#### Question 21 21. Add and simplify.

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Question 22
22.
Which graph gives a representation of the inequality 2 - *y* < *x*2 - 4?

#### Question 23 23. Which inequality represents the following graph?

#### Question 24 24. What is the rule for the nth term of the geometric sequence if the third term is 96 and the fifth term is 1,536?

#### Question 25 25. The sum of the first 10 terms of the arithmetic series that begins at 2 and has a common difference of 3 is _____.

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#### Question 26 26. Solve the equation: |2x-5|=5.

#### Question 27 27. Which of the following describes what a matrix looks like?

#### Question 28 28. Solve for x:

#### Question 29 29. Evaluate the logarithm below to 2 decimal places.

#### Question 30 30. Which of the following are the solutions to the equation below?

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#### Question 31 31. What do the letters in FOIL stand for?

#### Question 32 32. How much is 6! ?

#### Question 33 33. How do you know which row of Pascal's Triangle to use for your skeleton?

#### Question 34 34. The expression (2+i)(2-i) can be simplified to which of the following?

#### Question 35 35. Which two complex conjugates would multiply to equal 13?

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#### Question 36 36. Which of the following is written in Function Notation?

#### Question 37 37. Given f(x) = (2,6), (-7,4), (9,2), (-5,1), and (7,2), the corresponding domain and range for f(x) are:

#### Question 38 38. A car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots, some that cost $3,000 and some that cost $2,000. If the company is sure that it wants to spend all of its money on 16 new robots, how many of each should it purchase?

#### Question 39 39. Which of the following is equivalent to the expression below?

#### Question 40 40. The expression below can be simplified to which of the following expressions?

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#### Question 41 41. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

#### Question 42 42. What is the most specific term that describes the numbers 5, 10, 15, 20, 25, ...?

#### Question 43 43. Which absolute value equation would have a graph that is an upside down V?

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Question 44
44.
Solve.
- 102
*x* - 2 (10*x*) + 1 = 0

*x*- 2 (10*x*) + 1 = 0#### Question 45 45. For which of the following trinomials can completing the square be done without having to do any extra work on it?

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#### Question 46 46. What does the fundamental counting principal say?

#### Question 47 47. What is the complex conjugate of the expression below?

#### Question 48 48. What is the range of the function represented by the graph below?

#### Question 49 49. What is the equation of a line that passes through the points (2, 4) and (-2, 6)?

#### Question 50 50. Which of the following would require the use of the 'Power to a Power' rule for exponents?

#### CLEP College Algebra: 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!