Exam: 050293RR

Exam: 050293RR - Rational Expressions

1. Perform the indicated operations and simplify the following expression: 

2. Perform the indicated operations and simplify the following expression: 

3. The total resistance R of two resistors in parallel is given by  where R

first and R

4. Divide the following expression: 

5. Factor and simplify .

6. After t hours of work, Group A completes  of a job and Group B completes  of the same job.

What expression represents the amount the two teams would complete after t seconds, working together?

7. Perform the indicated operations and simplify the following expression: 

8. Solve the following equation: 

A. z = –4

B. z = 6

C. z = 4

D. z = –6

9. Divide the following expression: 

10. Your textbook says that the focal length f of a lens is given by the lensmaker's formula where r

11. Simplify the following expression: 

12. Solve this proportion for the variable:

A. y = 4

B. y = 2

C. y = –2

D. y = –4

13. Perform the indicated operations and simplify the following expression: 

14. Perform the indicated operations and simplify the following expression: 

15. Solve the following equation: 

A. y = –4

B. y = 4

C. y = –3

D. y = 3

16. Simplify the expression

17. Find the result of the polynomial division (3x

18. Simplify .

A. –a

B. –a

C. –a

D. –a

19. Solve this proportion for the variable:

A. x = 10

B. x = –7

C. x = –10

D. x = 7

20. Simplify the following expression: