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 \(45/a\).