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3.1

Generate And Name Equivalent Expressions

July 9, 2025
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Maryam Syed

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AI Summary

Generating and naming equivalent expressions involves writing expressions in different forms that have the same value. This can be done by simplifying (combining like terms or factoring) or expanding (using the distributive property), such as showing that 3(x + 2) is equivalent to 3x + 6.

Generating and naming Equivalent Expressions

Generating and naming equivalent expressions means creating different expressions that have the same value or simplify to the same thing. In simpler words, it is writing expressions in different ways without changing their value.


To do this, you can simplify and expand. To simplify, combine like terms or factor expressions. To expand, just distribute property to multiply out brackets. It's that simple!


Example

Are 3(x+2) and 3x +6 equivalent? Lets work it out together

  1. Expand 3(x +2)         

  2. Multiply 3 Times x -> 3x

  3. Multiply 3 times 2 -> 6


Your final answer is 3x + 6, so yes, they are equivalent.

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