Algebra 2: Rational Functions Test Review Sheet *DAY 2*

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

1. 26

52

618

yxyx

2.

!!!

!! ; x≠ 0, 𝑦 ≠ 0 (!!!)

(!!!) ; k≠ 6, 3

Multiply or divide. State any restrictions on the variables.

4. 955

6

58

53

yxyx

÷

!!!!!!

! ; x≠ 0, 𝑦 ≠ 0

5. 3223

465

2

2

2

2

−−

++⋅

−

+−

xxxx

xxx

6. 1

)1)(3()1)(3(

)1(2+

+−⋅

−−

+

xxx

xxx

!(!!!)(!!!)  

; x≠ −1, 1, 3

7. )4)(3()9)(4(

)4()9(

−+

−+÷

+

−

aaaa

aa

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

; a≠ −4,−3, 4, 9

1;  x≠ −2,−1, 2, 3   8. Find the least common multiple of x2 –x – 6 and x2 + 4x + 4. (𝑥 − 3)(𝑥 + 2)!

9. Find the least common multiple of 4x + 16 and x2 – 16. Write the answer in factored form.

4(x + 4)(x – 4)

Add or subtract. Simplify if possible.

10. 79

)7)(7(6

−−

−+ aaa

!!!!!"

(!!!)(!!!)

11. 44

46

522 ++

+−− xxxxx

!!!!!"!!!"

(!!!)(!!!)(!!!) ;

12.

3𝑛 − 8(𝑛 − 4)(𝑛 + 4)

13. 443

432

2 +

+−

−− xx

xxx

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

Solve the equation. Check the solution 15.         x  =  15                

16. 514

5203 2 +

=+ xx

x

x = -5 or x = 4

17. 95

107

=z

𝑥 =  5063

18.    514

5203 2 +

=+ xx

x

 

SAME AS 16 - DON’T DO!!!

19.

!!!= !

!!

NO SOLUTION

3  4  5  −  =  

x  x