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Free equivalent expressions math topic guide, including step-by-step examples, free practice questions, teaching tips, and more!
Two expressions are equivalent if they have the same value for any possible substituted value(s) of the variable(s) involved. We use the symbol \; \equiv \; to show that two expressions are equivalent. For example, the equation 3x+2=14 is only true for one value of x, i.e. x=3.
By studying equivalent expressions, you will be able to identify and create equivalent expressions in one variable, apply properties of operations (such as distributive, associative, and commutative properties), and simplify algebraic expressions.
A lesson showing how to expand and/ or factor expressions to determine whether they are equivalent.
18 gru 2023 · Equivalent algebraic expressions are algebraic expressions that are equal in value but look different. Thus, if we have two algebraic expressions and they yield the same value for every possible substitution of the variables, then they are considered equivalent.
Algebraic expressions, such as \(4x+3y-2w^2,\) contain variables, numbers, and mathematical operations. Algebraic expressions may be written in different ways, but still mean the same thing. For example, the expressions \[r+r+r+r \text{ and } 4r\] are equivalent.
