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Well first off a term is each of the quantities in a ratio, series or mathematical equation, so every # is a term. And secondly when simplifying you combine the terms that have the same degree, so 3+5 get combines but 7y-3 dont.

a. 3y+2y+y^2+5+y there are 5 terms and the simplified answer is 6y+y^2+5

b. 3y^2+2xy+1+3x+y+2x^2 there are 6 terms and it is already simplified

c. 3xy+5x+2+3y+x+4 there are 6 terms and the simplified answer is 3xy+6x+6+3y

d. 4m+2mn+m^2+m+3m^2 there are 5 terms and the simplifies answer is 5m+2mn+4m^2