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Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2^ e. 8xy (The ^2^ means squared!)

Respuesta :

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.

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