1. She is a technical arts and homemaking teacher.

2. She is a TA and H teacher.

3. She is a TA & H teacher.

4. She is a TAH teacher.
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Sentence 1 is too long. Can we use the other expressions?

You can only use those acronyms or abbreviations if they are commonly used and understood in your area. I would not know what they mean.

Yes, you can certainly use the other expressions to make the sentence shorter. Here's how each expression can be understood:

2. She is a TA and H teacher. In this expression, "TA" stands for "technical arts" and "H" stands for "homemaking". So, the person in question teaches both technical arts and homemaking.

3. She is a TA & H teacher. This expression is similar to the previous one, but it uses an ampersand (&) instead of the word "and" to represent "TA".

4. She is a TAH teacher. This expression combines "TA" and "H" into a single acronym, "TAH", to represent "technical arts and homemaking". So, the person in question is a teacher specializing in both technical arts and homemaking.

All of these expressions convey the same meaning and can be used as alternatives to the original long sentence, providing a more concise way to describe the person's teaching subjects.