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Identify when two expressions are equivalent (for example, when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
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.
In this math lesson, we learn how to find equivalent expressions by combining like terms and factoring. We start with an expression like x + 2 - y + x + 2 and simplify it by adding the x terms and factoring out common factors. This helps us compare expressions and solve problems more easily.
Lesson 5: Introduction to equivalent expressions. Equivalent expressions. Equivalent expressions.
Introduction. Algebraic expressions, such as 4x+3y-2w^2, 4x+3y −2w2, 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 r +r +r +r and 4r. are equivalent.
Examples, solutions, videos, and lessons to help Grade 6 students learn to apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the ...
