7x

7x is an algebraic expression representing seven multiplied by the variable x. It denotes a product where the coefficient is 7 and the variable’s value is x. In algebra, it is a monomial of degree 1, and when used in a function, it often appears as a linear function such as y = 7x, which has a slope of 7 and passes through the origin.

As a term in polynomials, 7x can be factored from expressions like 14x^2 + 21x, yielding 7x(2x + 3). It also serves in solving equations: if 7x = a, then x = a/7, provided division by 7 is allowed in the given domain. The expression is linear with respect to x and behaves predictably under standard algebraic rules, including distributive, associative, and commutative properties.

In contexts beyond basic algebra, 7x can also denote scalar multiplication of a vector x by the scalar 7. Here, 7x scales the vector, preserving its direction and multiplying its magnitude by 7. If x represents a real or complex number, 7x denotes multiplication in those number systems, and if x is an integer, 7x is always a multiple of 7.

Examples help illustrate: if x = 3, then 7x = 21; if x = -2, then 7x = -14. The notation 7x should not be confused with exponentiation; it represents multiplication, not 7 raised to the power of x.