Which of the following represents a linear expression?

Study for the Teaching Assistant Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

A linear expression is defined as an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power. In the case of the identified correct answer, the expression (y = 3x + 3) is linear because it follows the standard form of a linear equation: it consists of the variable (x) raised to the first power, and the terms are combined through addition. It can also be represented graphically as a straight line.

Options that involve variables raised to powers greater than one, such as quadratic functions (like (y = x^2) or (y = x^2 + 4)), or involve division by a variable (like (y = 2/x)), do not meet the criteria for linearity. Quadratic expressions graph as parabolas, while the expression involving division results in a hyperbola. Thus, the presence of degrees higher than one or the manipulation of variables in a non-linear manner sets those options apart from the linear expression presented in the correct choice.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy