How to Simplify Addition and Subtraction of Algebraic Expressions

1. Combine Like Terms
When simplifying algebraic expressions involving addition and subtraction, the first step is to combine like terms. Like terms are those that have the same variables raised to the same powers. For example, in the expression 3x + 2y - 4x + 5y, the like terms are 3x and -4x, as well as 2y and 5y.

2. Add or Subtract Coefficients
Once you have identified the like terms, you can then add or subtract their coefficients. For example, in the expression from above, 3x - 4x simplifies to -x, and 2y + 5y simplifies to 7y.

3. Combine the Simplified Terms
After simplifying the like terms, you can then combine the simplified terms to get the final expression. Using the example above, the final simplified expression would be -x + 7y.

4. Watch for Signs
It is important to pay attention to the signs when simplifying algebraic expressions. Make sure to distribute negative signs when combining terms, and be careful when subtracting negative numbers.

5. Practice
The key to mastering the simplification of algebraic expressions is practice. The more you practice combining like terms and simplifying expressions, the more comfortable you will become with the process. Consider solving various problems and checking your answers to improve your skills.