Respuesta :

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 [tex]5x^2-7xy+4c-4[/tex] , there are 4 terms : [tex]5x^2,\ -7xy,\ 4c\ ,\ -4[/tex]

Let's take one more example :  [tex]3y+2x-7xy^2[/tex]

In this expression there are only 3 terms , that are [tex]3y,\ 2x,\ -7xy^2[/tex]

The given expression : [tex]3x^3y + 5xz -4y + x -z + 9[/tex]

There are total 6  variable terms , that are :

[tex]3x^3y ,\ 5xz,\ -4y ,\ x,\ -z ,\ 9[/tex]

Hence, the correct answer is : 6