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Verified Answer :

there are 6
1. 3x^3y
2. 5xz
3. -4y
4. x
5. -z
6. 9

Answer: 6

Step-by-step explanation:

In any algebraic expression a term could be a variable(a,b,c,...), or a constant (numerical value) or  a product of variables and a constant.

For example : In expression \(5x^2-7xy+4c-4\) , there are 4 terms : \(5x^2,\ -7xy,\ 4c\ ,\ -4\)

Let's take one more example :  \(3y+2x-7xy^2\)

In this expression there are only 3 terms , that are \(3y,\ 2x,\ -7xy^2\)

The given expression : \(3x^3y + 5xz -4y + x -z + 9\)

There are total 6  variable terms , that are :

\(3x^3y ,\ 5xz,\ -4y ,\ x,\ -z ,\ 9\)

Hence, the correct answer is : 6