Answer:
c, d and e
Step-by-step explanation:
A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.
Option a: [tex]3x - 2[/tex]
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option b: [tex]-9y[/tex]
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option c: [tex]-7x^2 + 4x[/tex]
Here, the highest exponent of the variable is 2.
So, it is NOT a linear expression.
Option d: [tex]-\frac{1}{2} x^2[/tex]
Here, the exponent of the variable is 2.
So, it is NOT a linear expression.
Option e: [tex]8xy[/tex]
Here, sum of exponents of variables is 2.
So, it is NOT a linear expression.
Hence, c, d and e are NOT algebraic expressions.