### Theory:

Example:
1. $$3$$ more than $$p$$.

Note the keyword 'more than'. We need to add the number $$3$$ with $$p$$.

Thus, $$p+3$$.

Therefore, the algebraic form of '$$3$$ more than $$p$$' is $$p+3$$.

2. $$m$$ is decreased by $$17$$.

Note the keyword 'decreased by'. We need to subtract the number $$17$$ from $$m$$.

Thus, $$m-17$$.

Therefore, the algebraic form of '$$m$$ is decreased by $$17$$' is $$m-17$$.

3. Thrice $$k$$.

Note the keyword 'thrice'. We need to multiply the number $$k$$ by $$3$$.

Thus, $$3k$$.

Therefore, the algebraic form of 'thrice $$k$$' is $$3k$$.

4. $$45$$ equally shared to $$a$$.

Note the keyword 'equally shared'. We need to divide the number $$45$$ by $$a$$.

Thus, $$45/a$$.

Therefore, the algebraic form of '$$45$$ equally shared to $$a$$' is $$45/a$$.