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CLEP Precalculus: Study Guide & Test Prep Final Exam

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!

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Question 1 1. What is the inverse of the function y = -8x + 15?

Question 2 2. If f(x) = 3x +5 and g(x) = x^2 - 2, determine f(g(x)).

Question 3 3. What is the domain of f(x) = log10[2/(x - 5)] ?

Question 4 4. Given the equation for a circle with a radius of 9 units is [(x - 12)^2] / 3 + (''y'' + 7)^2/ 3 = 27, what are the Cartesian coordinates of the circle's center?

Question 5 5. What are the Cartesian coordinates of the vertex of the following parabola: y = 3(x + 5)^2 - 4?

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Question 6 6. Which of the following expressions is equal to log10(30) ?

Question 7 7. Triangle DEF has sides D, E, and F and the corresponding opposite angles d, e, and f, respectively. If the length of side D is 12 units and the size of its opposite angle d is 35 degrees, what is the size of opposite angle f if the length of side E is 15 units?

Question 8 8. What is the area of the annulus/doughnut shown below?

Question 9 9. What is x?

Question 10 10. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

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Question 11 11. Which of the following is a solution to both y - 3x = 6 and y - 6x = 3?

Question 12 12. Which of the following graphs would be the graph of y = -4x - 2

Question 13 13. Which of these equations represents a line that is perpendicular to the line in the graph below?

Question 14 14. Graph A (represented by black line) is a translation of f(x) (represented by red line) as shown in the graph below. The resulting function is:

Question 15 15. Which kind of transformation would change the red function below into the green one?

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Question 16 16. Which of the following is the inverse function of f(x) = 3x?

Question 17 17. Complete the square for the trinomial

Question 18 18. Which of the following is true about the vertex of a parabola?

Question 19 19.

Solve the quadratic equation by completing the square.

x2 - 14x = 0

Question 20 20. What are the coordinates of the point (3,2) if it is reflected about both the x- and y-axes?

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Question 21 21. Solve for x.

Question 22 22. Which of the following is a possible solution to the equation below?

Question 23 23.

For these questions, I strongly recommend using either the CLEP calculator (found online) or one you use in class.

Evaluate the sine of 47 degrees.

Question 24 24.

For these questions, I strongly recommend using either the CLEP calculator (found online) or one you use in class.

At what is the minimum value of f(x) between 0 and 1?

Question 25 25.

For these questions, I strongly recommend using either the CLEP calculator (found online) or one you use in class.

Where is the maximum value of f(x) between 0 and pi?

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Question 26 26. Find the value of sin(2x) if cos(x) = 2/5 and x is between 270 and 360 degrees.

Question 27 27. What's the value of sec2 (θ) given that the equation below is true?

Question 28 28. If ∠BCA of the given triangle is 30° and length of AB is 3√3, find length of BC.

Question 29 29. Which of the following is equivalent to the following expression?

Question 30 30. Simplify the following expression.

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Question 31 31. Simplify the expression using positive exponents.

Question 32 32. Expand the logarithm:

Question 33 33. A laptop loses 2/3 of its value each year. If you have a $600 laptop, how much is it worth after 15 years?

Question 34 34. Which expression is equivalent to log having base = e?

Question 35 35. If 2x - 8 ≥ 2, then

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Question 36 36.

Express the following absolute value inequality as two inequalities.

|x + 2| > 1

Question 37 37.

Which region of the graph represents the following system of inequalities?

y < 2x + 2 and y > 4

Question 38 38. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

Question 39 39.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 40 40.

You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $7.00/hr.

How much money will you make if you work 50 hours in one week?

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Question 41 41. What is the area of the circle enclosed by taking a 4 cm by 6 cm sheet and wrapping it around a 6 cm tall cylinder?

Question 42 42. Which of these statements is FALSE regarding the number 0?

Question 43 43. Given f(x) = x - 7, what will f(12) be equal to?

Question 44 44. Why can't you solve a quadratic equation simply by using inverse operations to get the variable by itself?

Question 45 45. What is the lowest common denominator for the expression below?

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Question 46 46.

For these questions, I strongly recommend using either the CLEP calculator (found online) or one you use in class.

If tan(x) = 7, what is x?

Question 47 47. Which of the following is equal to cos(2x)?

Question 48 48. Divide using synthetic division.

Question 49 49. A company acquires new machinery and expects to dispose it when its value is $5,648, after 12 years. The machinery loses 10% of its value each year. After two years of operation, the machinery will be worth $16,200 and 2 years later, its value will decrease to $13,122. What is the cost of the machinery?

Question 50 50. Which rule do you need to remember when solving a 1-variable absolute value inequality?

CLEP Precalculus: 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!

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