Are 3X And 9X Like Terms? Exploring Algebraic Similarities

Do the terms 3x and 2x share a common attribute, such as having like terms? Like terms are characterized by having the same variable and exponent within them. This similarity can apply to various variables, such as x, x^3, y, or even constants with no variables. For instance, when comparing 2x and 3x, they are indeed like terms because they both feature the variable ‘x’ and are both raised to the first power (i.e., x^1).

Are 3x and 7x considered like terms? To determine this, let’s explore the concept of like terms through an example. Consider the expression 7x + 3x. In this expression, both 7x and 3x are like terms because they have the same variable, ‘x.’ When we combine these like terms, we add their coefficients together, resulting in 10x. This demonstrates the fundamental principle that algebraic terms with identical variables can be combined by adding their coefficients. In other words, when working with algebraic expressions, we can simplify by grouping and adding or subtracting terms with the same variables.

Are 2x and 7x considered like terms in algebra? Like terms are terms in an algebraic expression whose variables, along with any associated exponents, match exactly. For instance, 7x and 2x are considered like terms because they both share the same variable, which is ‘x.’ In other words, the variable ‘x’ in both 7x and 2x is raised to the first power (since it has an implied exponent of 1), and this similarity in variables and exponents makes them like terms.