אני בודק את המפה, ואחר כך אני יוצא מהבית.

They are present-tense forms, and in this sentence they are masculine singular.

• בודק = checking / checks
• יוצא = going out / goes out / leaving

A useful thing to know is that Hebrew present-tense forms often behave a bit like participles, so one form can match several English possibilities depending on context.

Because Hebrew does not use an auxiliary like English am / is / are with action verbs in the present tense.

So:

• אני בודק can mean I check or I am checking
• אני יוצא can mean I go out, I am going out, or I’m leaving

Hebrew lets the context tell you which English version fits best.

It could sometimes be omitted if the context is very clear, but repeating אני here is very natural.

One important reason is that Hebrew present-tense forms do not show person clearly. For example:

• בודק could mean I check
• or you check (to a male)
• or he checks

So the pronoun אני helps make the subject clear. Repeating it after ואחר כך keeps the second clause clear too:

• אני בודק את המפה, ואחר כך אני יוצא מהבית

That sounds normal and natural.

את is the direct object marker. It usually comes before a definite direct object.

Here, המפה means the map, which is a specific, definite thing, so Hebrew uses את:

• אני בודק את המפה = I check the map

Important points:

• את usually does not get translated into English
• it is a grammar marker, not really a separate meaning word
• it is used with definite objects, not indefinite ones

For example:

• אני בודק את המפה = I check the map
• אני בודק מפה = I check a map / some map

Because ה־ is the Hebrew word for the.

So:

• מפה = a map / map
• המפה = the map

Since the sentence is talking about a specific map, it uses המפה. And because the object is definite, it also needs את:

• את המפה

Yes. אחר כך is a very common fixed expression meaning:

• after that
• afterwards
• then

So:

• ואחר כך = and then / and afterwards

It is written as two words, but learners should really remember it as one chunk of meaning.

Because the preposition מ־ meaning from is attached directly to the noun.

So:

• מ־ = from
• הבית = the house

Together they become:

• מהבית = from the house

This is very common in Hebrew. Short prepositions often attach to the following word.

Also, before a word with ה־, the form often comes out as מֵהַ... in pronunciation, which is why מהבית means from the house.

Yes, basically.

The verb לצאת means:

• to go out
• to exit
• by extension, to leave

So אני יוצא מהבית is literally something like I go out from the house, but in natural English it is often best translated as I leave the house or I go out of the house.

This is a very normal Hebrew way to express leaving a place.

A female speaker would say:

אני בודקת את המפה, ואחר כך אני יוצאת מהבית.

The changes are:

• בודק → בודקת
• יוצא → יוצאת

That is because Hebrew present-tense forms agree with the speaker’s gender.

It can do either, depending on context.

Hebrew present tense can cover both:

• habitual meaning: I check the map, and then I leave the house
• right now / current action meaning: I’m checking the map, and then I’m leaving the house

In everyday Hebrew, the present tense can also sometimes suggest a near future meaning, especially if the situation makes that clear.

So the exact English translation depends on context, not only on the Hebrew verb form.