Algebra 2: Rational Functions Test Review Sheet

Simplify the rational expression. State any restrictions on the variable.

1.

2.

c – 7 ; c ≠ !−4 (!!!)(!!!) ! ; !! ≠ 6, 3

Multiply or divide. State any restrictions on the variables.

4.

!

!!!!! ! ; !! ≠ 0, ! ≠ 0

5.

6.

(!!!)(!!!)

(!!!) ! ; !! ≠ -1 ,-2, -6

7.

!!(!!!)(!!!) ! ; ! ≠ -2, -1, 0

(!!!!)!(!!!)(!!!) ! ; ! ≠ -4, -3, -2, -1, 4

8. Find the least common multiple of and . LCM: (x + 6)(x + 4)(x – 1)

9. Find the least common multiple of 3x2 + 6x + 3 and . Write the answer in factored form.

LCM: 3(x +1)(x + 1)(x – 1)

Add or subtract. Simplify if possible.

10 147

384

10+

−+ yy

!"

!"(!!!)

11. 857

83

+

−+

+ xx

xx

!"!!!!!!! !!"!! !(!!!!)!!! !!

12.

!!!!(!!!)(!!!)!

13.

(!!!")(!!!) !

Solve the equation. Check the solution.

15. !! =

!!!! ! ! !!

!x!=!!–!4!!!!!!

16. !

! = !115 !

17. !

!!!! =!

!!!!!! ! ! = ! !!!!

18. ! = !!!! ! x

19. !!! =

!!! No Solution