Rational Expressions and Functions Chapter 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!

Page 1

Question 1 1. Multiply the following rational expressions.

Question 2 2. Solve the following rational equation.

Question 3 3. Which function below has a horizontal asymptote of y = 8?

Question 4 4.

Which of the following equations have a vertical asymptote at x = 1?

I) y = 5/(x-5)

II) y = 1/(x^2-1)

III) y = 1/(x-1) * 1/(x-2)

Question 5 5. Subtract and simplify.

Page 2

Question 6 6. Subtract the following:

Question 7 7. Which of the following is a description of the range of a function?

Question 8 8. The domain of a function are the _____.

Question 9 9. Which function below has a vertical asymptote of x = 10?

Question 10 10. What is the horizontal asymptote of the following rational function?

Page 3

Question 11 11. What are the asymptotes for the equation y = 2/[(x - 2)(x + 3)] + 4?

Question 12 12. Multiply the following rational expressions:

Question 13 13. What is the vertical asymptote of the following function?

Question 14 14.

Which of the following equations has a vertical asymptote?

I. y = 1 / (1 - x)

II. y = 1 / x

III. y = 10x / (x^2 + 5)

Question 15 15. How do you find vertical asymptotes?

Page 4

Question 16 16. A vertical asymptote:

Question 17 17. Solve for x.

Question 18 18. Multiply the following expressions:

Question 19 19. Which of the following is a possible function for this graph?

Question 20 20. Solve for x.

Page 5

Question 21 21. Divide the following expressions:

Question 22 22. Which of the following is a linear polynomial?

Question 23 23. Simplify the following:

Question 24 24. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 25 25. Simplify the following:

Page 6

Question 26 26. Solve for x:

Question 27 27. What are the vertical and horizontal asymptotes for the following rational equation?

Question 28 28. Which of the following do you need to graph a rational function?

Question 29 29. Solve the rational equation.

Question 30 30. What are the vertical asymptotes of the rational equation:

Rational Expressions and Functions Chapter 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!

Math 105: Precalculus Algebra  /  Math Courses
Support