The 14th lesson of Algebra focuses on equivalent linear expressions – a major part of understanding algebraic equations. It is essential for students to understand what makes two expressions equivalent. Equivalent linear expressions are important to understand in order to solve various algebraic problems.

## What are Equivalent Linear Expressions?

Equivalent linear expressions refer to two different expressions that have the same value. For example, “2x + 5” and “2x + 3 + 2” are two different expressions but both have the same value. This means that they are equivalent linear expressions. In order to determine if two expressions are equivalent, they must be simplified. This means that all the terms must be combined and reduced to the same value in order to determine if the expressions are equivalent.

## How to Simplify Expressions?

In order to simplify expressions, the terms must be added, subtracted, multiplied, or divided in order to get the same value for both expressions. For example, “2x + 5” and “2x + 3 + 2” can be simplified by adding the two terms on the right side of the equation. This would result in a new expression of “2x + 5”. This is the same value as the original expression, meaning that the two expressions are equivalent.

## Examples of Equivalent Linear Expressions

There are many examples of equivalent linear expressions. One example is “4x – 9” and “4x + 1 – 10”. These two expressions can be simplified by adding the terms on the right side of the equation. This will result in a new expression of “4x – 9”, which is the same value as the original expression. Another example is “2x + 5” and “2x – 3 + 8”. These two expressions can be simplified by subtracting the terms on the right side of the equation. This will result in a new expression of “2x + 5”, which is the same value as the original expression.

## Conclusion

Equivalent linear expressions are an important concept in algebra. Understanding what makes two expressions equivalent is essential in order to solve various algebraic problems. Equivalent linear expressions can be determined by simplifying the terms in the expression. There are many examples of equivalent linear expressions that can be used to help students understand this concept.