Adoptive parents must be treated well by the adopted child, acknowledging the good they did for the child (hakarat ha'tov).  But they are not considered halachic parents and the child may not be required to give them the honor that is required by the Torah for natural parents.
 

• Before and after eating,
• After waking in the morning,
• At various types of life experiences, and
• In many other situations.

Blessings Formulations

Some blessings begin with Baruch ata adonai only; some blessings continue with eloheinu melech ha'olam.  The shorter blessings come at the end of long (compound) blessings.

ReasonThere is no mention of malchut at the end of a blessing.

How To Say Blessings

When saying blessings or prayers, it is generally best to say the words of the blessing or prayer out loud since doing so can help you to concentrate on what is being said. (The main exception is the amida prayer.)
Normally, you should stand while saying blessings before doing a mitzva, unless the mitzva is done while seated (in which case you sit when saying the blessing).
REASON So there is no delay between saying the blessing and doing the mitzva.
NOTE Although there is not necessarily any need to stand while doing mitzvot, many mitzvot are done while standing due to the nature of the mitzva or for convenience.
If you find you have made an error in saying a blessing or prayer, you may correct your error without having to repeat any previous parts if you do so within 2.5 seconds of having made the error.

Honoring your father and mother—the fifth of the Ten Commandments—heads the mishna's list of mitzvot for which you receive reward in this world as well as in the next. It is one of only two mitzvot for which long life is promised (the other is shilu'ach ha'kein—shooing away a wild mother bird before taking her eggs).
This mitzva especially refers to giving your parents food and drink as well as helping them get dressed, get covered, and go out and in.  But it also includes: 

• Not sitting in your father's chair.
• Not calling your parents by their first names.
• Not disagreeing with, not correcting, or not contradicting your parents if doing so will upset them.
• Agreeing with them by taking sides in an argument (doing so is considered disrespectful since they do not need your agreement).
• Not waking them up when they are sleeping--unless they would want you to do so. 

Whatever applies to fathers also applies to mothers, such as not sitting in the parent's chair. 
All parents—whether biological or adoptive, Jewish or non-Jewish—must be treated well, acknowledging the good they did for the child (hakarat ha'tov). If any parent opposes the observance of Jewish laws, the child should limit contact with the parent.