Equivalent Expressions Definition Math

Definition of equivalent expressions two algebraic expression s are said to be equivalent if their values obtained by substituting the values of the variables are same. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. For example the expressions y y y and 3y are equivalent because they name the same number regardless of which number y stands for.

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Expressions that simplify to an equal value when number s are substituted for the variables of the expression.

Equivalent expressions definition math. 25 5 10 2 5 2. As the name suggests equivalent expressions are algebraic expressions that although they look different turn out to really be the same. Equivalent expressions expressions that have the same value but are presented in a different format using the properties of numbers e g ax bx a b x. Apply properties of operations to y y y to produce the equivalent expression 3y.

Apply the distributive property to the expression 24x 18y to produce the equivalent expression 6 4x 3y. Multiplying or dividing both sides of an equation by the same non zero number produces an equivalent equation. For example let s solve the following numerical expressions. Meaning and definition for kids of equivalent expressions.

Also 10 2 5 2 100 25 125. If you re seeing this message it means we re having trouble loading external resources on our website. Two mathematical expressions are said to be equivalent if they yield the same result upon solving them. Identify when two expressions are equivalent i e when the two expressions name the same number regardless of which value is substituted into them.

Thus the above two expressions are equivalent and can be written as. Sal finds equivalent expressions by combining like terms and using the distributive property. Equivalent expressions grade 6 examples solutions videos and lessons to help grade 6 students learn to apply the properties of operations to generate equivalent expressions. 3 x y is equivalent to 3x 3y.

Equivalent equations are algebraic equations that have identical solutions or roots. Jenny eather 2014. Expressions that simplify to an equal value e g. And since they re the same they will yield the same.

25 5 125. For example apply the distributive property to the expression 3 2 x to produce the equivalent expression 6 3x. Linear equations with one variable. The meaning and definition indicated above are indicative not be used for medical and legal purposes.