Identify equivalent linear expressions
Equivalent expressions are expressions that look different but have the same value for all values of the variables. You can use the properties of operations to simplify expressions and see if they are equivalent.
Lesson 5
Concept
Two linear expressions are equivalent if they can be simplified to the same expression. **Example:** Are 3(x + 2) - 5 and 3x + 1 equivalent? 1. **Simplify the first expression:** * 3(x + 2) - 5 * Distribute: 3x + 6 - 5 * Combine like terms: 3x + 1 2. **Compare:** The simplified expression is 3x + 1, which is the same as the second expression. 3. **Conclusion:** Yes, they are equivalent.
Try it
Practice: Identify equivalent linear expressions.