1.i go to home and cien with the broom.
> I go home and ___ the broom.
(What does "cien" mean in your sentence?)

2.i go to home and cien with the mop.
> I go home and ___ the mop.
(What does "cien" mean in your sentence?)

3.my name is lindy.
> This sentence is correct. But don't forget that we need to Capitalize the first letter in our sentence as well as the first letter of your name for it is a proper noun.
(My name is Lindy)

4.i need to home work.
> I need to do my homework.
(The word "do" is also used to make something.)


5.they early man is diat.
> The man needs to diet. 
(Let's rephrase your sentence to make it clearer. Be careful with your spelling as well.)

6.the mug is glimmer
> The mug glimmers.
(Subject and Verb Agreement - If the subject is singular the verb is also singular. If the subject is plural the verb is also in plural form)

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Thank you, Thank you, Lindy!

   I appreciate your effort to do your homework independently. You are very nice and eager to learn more. I am very proud of you. Never get tired of learning English. It is fun, keep that in mind. Don't worry, teacher is always here to help you.

  See you in the class and take care always. ^^

~Teacher Cassie