Question

which of the following are terms in this expression? select all that apply.
-8 - 7w²x
options: w²x, -8, -7w²x, -w²x

Explanation:

Step1: Recall the definition of a term

A term in an algebraic expression is a single number, variable, or the product of numbers and variables, separated by addition or subtraction signs.

Step2: Analyze the given expression \(-8 - 7w^{2}x\)

The expression can be thought of as \((-8)+(- 7w^{2}x)\) (since subtraction is addition of the opposite). So the terms are \(-8\) and \(-7w^{2}x\).

• The option \(w^{2}x\) does not match the coefficient in the expression (the coefficient here should be \(- 7\) for the variable term, not \(1\)).
• The option \(-w^{2}x\) has a coefficient of \(-1\) which does not match the coefficient \(-7\) in the given expression.

Answer:

-8, \(-7w^{2}x\)