                                                                  ????−????
_____ 11. What is the simplest form of                                       ?
                                                                  ????−????
                      ????−????                                   1
                A.                                 B.                            C. -1               D. 1
                      ????−????                               ????−????

                     3????−9
_____ 12. Simplify             .
                     12−4????
                       3                                −3                            −3(????−3)
                A.                                 B.                            C.                  D. 1
                      4                                  4                                     4

_____ 13. The _____________ of two rational algebraic expression is the product of the dividend and the
          reciprocal of the divisor.
                 A. sum           B. difference C. product        D. quotient

_____ 14. This means the multiplicative inverse.
                A. reciprocal           B. denominator                                             C. numerator     D. division

                                                        7           ????2
_____ 15. What is the product of                            3
                                                              ∙          ?
                                                       2????           21
                      ????                                  1                             ????                  1
                A.                                 B.                            C.                  D.
                      6                                 6????                            6????                  6

                                                       ???? 2 +6????+9                 ????+3
_____ 16. What is the quotient of                                            ÷         ?
                                                       ???? 2 +3????+2                 ????+1
                      ????+3                               ????+2                                1              ????+3
                A.                                 B.                            C.                  D.
                      ????+2                               ????+3                           ????+2                 ????+1

                                           3                         5
_____ 17. What is the LCD of                           ???????????? 36???? 4 ?
                                       15???? 2
                A. 15y2                            B. 36y4                       C. 90y2             D. 180y4

                                       3????−5                         ????+3
_____ 18. What is the sum of                           ????????????                   ?
                                               2                     2
                A. x – 1                           B. x – 2                      C. x – 3            D. x – 4

                                           3                    5
_____ 19. What is the sum of                   ???????????? ????−2?
                                       2????
                              8                             8????−10                      13????−2                13????−6
                A.                                 B.                            C.                  D.
                      2????(????−2)                           2????(????−2)                       2????(????−2)             2????(????−2)

                     ????+9               3????+1
_____ 20. Subtract         from                    .
                     ????−4               ????−4
                A. 2                               B. 4                          C. 6                D. 8

                     ????−2       ????+2
_____ 21. Simplify         −           .
                      3            2
                      ????+1                               ????+5                           ????−6                 −????−10
                A.                                 B.                            C.                  D.
                          6                                 6                              6                  6

_____ 22. What is the correct rational expression of the phrase “the quotient of 2x and 3y?
                      3????                                2????
                A.                                 B.                            C. (2x) (3y)        D. (2x-3y)
                      2????                                3????

_____ 23. There are two numbers whose sum is 48. One number is one-third of the other. What are the
           two numbers?
                 A. 10 and 38 B. 12 and 36 C. 14 and 34 D. 20 and 28

_____ 24. Five years ago, Ron’s age was half of the age he will be in 8 years. How old is he now?
                 A. 13           B. 14           C. 18           D. 20

_____ 25. It took six hours for Sam to clean the house while Rina took twelve hours to do the same job.
           If Sam and Rina worked together, how long had it taken them to complete the job?
                  A. 3            B. 4            C. 6          D. 11


Dividing 20 by a number gives the same result as dividing 12 by 2 less than the same number. What is the number?
A. 4         B. 5       C. 6       D. 7

                                                                  ????−????
_____ 11. What is the simplest form of                                       ?
                                                                  ????−????
                      ????−????                                   1
                A.                                 B.                            C. -