Für die Hausarbeit brauchst du nicht jedes unbekannte Wort sofort nachzuschlagen; manchmal reicht der Kontext.

No. In this sentence, die Hausarbeit usually means a term paper, written assignment, or academic paper done at home, especially in a school or university context.

That is different from:

• die Hausarbeit = sometimes housework in other contexts
• die Hausaufgabe = homework

So here the academic meaning fits best.

Für die Hausarbeit means for the term paper / for this written assignment.

It is a prepositional phrase that gives the context for the whole sentence: when you are working on this paper, you do not need to look up every unknown word immediately.

Also, für always takes the accusative case, so:

• die Hausarbeit is accusative
• Hausarbeit is feminine, so die is the correct article here

German main clauses normally follow the verb-second rule.

That means:

• one element comes first
• the finite verb comes second

Here:

1. Für die Hausarbeit = first element
2. brauchst = second position
3. du = comes after the verb

So this is normal German word order:

• Für die Hausarbeit brauchst du ...

If the sentence started with du, then it would be:

• Du brauchst für die Hausarbeit ...

Both are possible, but they emphasize things slightly differently.

No. It means do not need to, not must not.

This is very important:

• Du brauchst nicht ... nachzuschlagen = You do not need to look up ...
• Du darfst nicht ... nachschlagen = You must not / are not allowed to look up ...

So the sentence expresses lack of necessity, not a prohibition.

Because nachschlagen is a separable verb, and in the zu-infinitive form, zu goes between the prefix and the main verb stem.

So:

• base form: nachschlagen
• zu-infinitive: nachzuschlagen

Other examples:

• aufstehen → aufzustehen
• anzufangen comes from anfangen
• mitbringen → mitzubringen

So nachzuschlagen is exactly what you should expect from a separable verb.

The zu is built into nachzuschlagen.

German often combines them into one word with separable verbs:

• nach + zu + schlagen → nachzuschlagen

So even though you do not see zu standing alone, it is there.

Because Wort is neuter, and here it is in the accusative singular.

That gives:

• jedes Wort = every word

Then the adjective unbekannt takes the weak ending -e after jedes, so:

• jedes unbekannte Wort

Breakdown:

• jedes = accusative singular neuter of jeder
• unbekannte = adjective ending that matches this pattern
• Wort = neuter noun

Also, jeder in this sense usually goes with a singular noun, just like English every:

• jedes Wort = every word not
• jedes Wörter

Here nicht negates the idea of needing to do something.

So:

• brauchst du nicht nachzuschlagen = you do not need to look it up

The sentence then inserts the object and adverb:

• brauchst du nicht jedes unbekannte Wort sofort nachzuschlagen

In other words, nicht belongs with brauchst ... nachzuschlagen, not just with jedes.

The meaning is:

• It is not necessary to look up every unknown word immediately.

It does not mean:

• there are specific words that you should not look up

Sofort means immediately.

It tells you when you would be looking the word up. The sentence is saying that you do not need to do it right away.

Its position is natural here:

• jedes unbekannte Wort sofort nachzuschlagen

German adverb placement is somewhat flexible, but this order sounds very normal. The important idea is that sofort modifies nachzuschlagen.

Sometimes, but brauchst du nicht is the more natural choice here.

• Du brauchst nicht ... = You do not need to ...
• Du musst nicht ... can also mean You do not have to ...

In many contexts they are close. But brauchen + nicht + zu-infinitive is a very common way to express no need.

So this sentence sounds very idiomatic:

• Du brauchst nicht jedes unbekannte Wort sofort nachzuschlagen.

Because the infinitive construction is closely connected to brauchst.

German often does not use a comma before a simple zu-infinitive when it functions directly with another verb like this:

• Du brauchst nicht jedes unbekannte Wort sofort nachzuschlagen.

So the lack of a comma is normal here.

The semicolon links two complete clauses that are closely related in meaning:

• Für die Hausarbeit brauchst du nicht jedes unbekannte Wort sofort nachzuschlagen
• manchmal reicht der Kontext

It is stronger than a comma, but a little more connected than a full stop.

You could also write:

• Für die Hausarbeit brauchst du nicht jedes unbekannte Wort sofort nachzuschlagen. Manchmal reicht der Kontext.

The semicolon just gives a smooth connection between the two ideas.

Again, this is the verb-second rule in a main clause.

Here:

1. manchmal = first element
2. reicht = finite verb in second position
3. der Kontext = subject after the verb

So:

• Manchmal reicht der Kontext.

That is the normal German order.

German often uses the definite article with nouns in a general sense where English may leave it out.

So:

• manchmal reicht der Kontext literally looks like
• sometimes the context is enough

But in natural English we often say:

• sometimes context is enough

The German article is completely normal here.

Because the subject is der Kontext, which is singular.

• der Kontext = singular
• therefore reicht = singular verb form

If the subject were plural, the verb would be plural too:

• Manchmal reichen die Beispiele.

So in this sentence:

• der Kontext reicht = the context is enough