# Chapter 12: Rational Expressions and Functions Chapter 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!

### Page 1

#### Question 1 1. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

#### Question 2 2. Solve for x.

####
Question 3
3.
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 4 4. Multiply the following rational expressions.

#### Question 5 5. Solve for x.

### Page 2

#### Question 6 6. Divide the following rational expressions.

#### Question 7 7. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 8 8. Multiply the following expressions:

#### Question 9 9. Divide using long division.

#### Question 10 10. Divide using long division.

### Page 3

#### Question 11 11. Subtract and simplify.

#### Question 12 12. Solve the following combination:

#### Question 13 13. Which function below has a horizontal asymptote of y = 8?

#### Question 14 14. Subtract the following rational expressions.

#### Question 15 15. Divide the following expressions:

### Page 4

#### Question 16 16. Solve the rational equation.

#### Question 17 17. Add the following rational expressions.

#### Question 18 18. Divide using long division.

#### Question 19 19. Add and simplify.

#### Question 20 20. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

### Page 5

####
Question 21
21.
What are the **horizontal** asymptote(s) for the equation y = 1/(x^2-4)?

#### Question 22 22. Solve for x.

#### Question 23 23. Add the following rational expressions.

#### Question 24 24. How would you determine the total number of possible combinations in a situation using the fundamental counting principle?

####
Question 25
25.
Solve the expression 7*P*2 (*P* = permutation)

### Page 6

#### Question 26 26. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

#### Question 27 27. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

#### Question 28 28. Solve the following combination:

#### Question 29 29. Divide using long division.

#### Question 30 30. Subtract and simplify.

#### Chapter 12: 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!