J'ai tant de travail que je vais rester à la maison ce soir.

Tant de ... que is a common French pattern meaning so much / so many ... that.

In this sentence:

J'ai tant de travail que je vais rester à la maison ce soir.

the structure is:

• tant de travail = so much work
• que = that
• je vais rester à la maison ce soir = I’m going to stay home tonight

So the whole pattern shows a cause and result relationship:

• I have so much work that I'm going to stay home tonight.

This is very similar to English so ... that.

Both can mean that there is a lot of work, but tant de travail is usually stronger and more expressive.

• beaucoup de travail = a lot of work
• tant de travail = so much work

In other words:

• J'ai beaucoup de travail. = I have a lot of work.
• J'ai tant de travail que... = I have so much work that...

You will often see tant de when the sentence continues with que to show the consequence.

Yes. Tellement de travail is very common and often sounds more natural in everyday speech.

So you could say:

J'ai tellement de travail que je vais rester à la maison ce soir.

This means the same thing.

Very roughly:

• tant de can sound a little more literary or emphatic
• tellement de is extremely common in spoken French

Both are correct here.

After quantity expressions like these, French uses de before the noun:

• beaucoup de travail
• tant de travail
• tellement de travail
• peu de temps

So de is required because tant is introducing an amount.

Because after an expression of quantity, French normally uses de, not the partitive article du / de la / des.

Compare:

• J'ai du travail. = I have some work.
• J'ai beaucoup de travail. = I have a lot of work.
• J'ai tant de travail. = I have so much work.

So once you use a quantity word like tant, the noun is introduced by de, not du.

Because travail is often treated as an uncountable noun when it means work in general.

English does the same thing:

• so much work
  not
• so many works

So:

• tant de travail = so much work

If travaux is used, it usually means specific jobs, works, or construction work, depending on context.

Here, que means that in the pattern so much ... that.

It connects the first idea to the result:

• J'ai tant de travail = I have so much work
• que je vais rester à la maison ce soir = that I’m going to stay home tonight

So que introduces the consequence.

Je vais rester is the near future (also called the futur proche):

• je vais rester = I’m going to stay

Je resterai is the simple future:

• je resterai = I will stay

Both are possible, but je vais rester often sounds more immediate and conversational. In everyday spoken French, the near future is extremely common.

So this sentence sounds natural and everyday.

Yes, absolutely. That is grammatically correct.

The difference is mostly in tone:

• je vais rester = more conversational, immediate
• je resterai = a bit more formal or neutral, and sometimes slightly less conversational

Both mean that the speaker plans to stay home tonight because of the amount of work.

Both are possible, but they are not always exactly the same in feel.

• à la maison = at home / at the house
• chez moi = at my place / at home

In this sentence, rester à la maison is very natural and common.

You could also say:

J'ai tant de travail que je vais rester chez moi ce soir.

That also sounds natural.

Very roughly:

• à la maison focuses on home/the house
• chez moi focuses a bit more on my place

In many contexts, both translate simply as at home.

French often places time expressions like ce soir at the end of the sentence, especially in neutral word order.

So:

je vais rester à la maison ce soir

is a very normal way to say:

I’m going to stay home tonight.

You could move ce soir earlier in some contexts, but the version here is the most straightforward and natural.

Because French normally contracts je to j’ before a vowel sound.

Since ai begins with a vowel, you must say:

• j’ai

not

• je ai

This kind of contraction is very common in French:

• j’ai
• j’aime
• j’habite
• j’écoute

Tant is pronounced with a nasal vowel, roughly like tahn, but without pronouncing a full n sound.

A few helpful points:

• the t at the end of tant is normally silent
• the an is nasal
• in tant de, you still usually do not pronounce the final t

So it sounds roughly like:

tan de

but with a nasal vowel rather than a fully pronounced n.

Yes. It is correct and natural.

That said, in very everyday spoken French, many speakers might be even more likely to say:

J'ai tellement de travail que je vais rester à la maison ce soir.

But the original sentence with tant de travail is absolutely correct and natural, especially in slightly more careful or expressive language.

Yes. In French, rester à la maison is a normal way to say stay home.

Even though the literal wording includes the house/home, the natural English translation is often simply:

• stay home
• stay at home

So in this sentence, rester à la maison ce soir is best understood as stay home tonight.