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You can use them to find a variable.
Lets say you have two equivalent expressions with the same variable...
x + 2x - 42 = 0
2x - 28 = 0
If you combine these equivalent expressions you ahve...
x + 2x - 42 = 2x - 28
In all of the expressions you have x = 7
There are also other applications but its confusing to explain.
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What is the definition of an equivalent variable expressions?
An equation if both expressions are equal
What is the definition of equivalent numerical expressions?
That means that the two expressions represent the same number.
How can properties of operations help to generate equivalent expressions that can be used in solving problems?
Properties of operations, such as the commutative, associative, and distributive properties, can be used to manipulate expressions in ways that preserve their value while changing their form. By applying these properties systematically, one can generate equivalent expressions that are easier to work with or better suited to a specific problem. This can streamline the problem-solving process by simplifying complex expressions or rearranging terms to highlight patterns or relationships.
When two expressions have the same value they are?
equivalent
States that two expressions are equivalent is called what?
equation
