The phrase "for all you are worth" means to put in maximum effort or to do something with all your strength. There are different synonyms that can be used in place of this phrase. Words like 'wholeheartedly', 'if your life depended on it', 'at full throttle', 'with all your might' or 'using all your resources' could be some alternatives. They all indicate that you are doing your best and going all out in your efforts. No matter what you use, the important thing is to give it your all and put everything you have into whatever task you are undertaking.