Adding Signs in Algebraic Expressions
Adding positive and negative signs in algebraic expressions is crucial for accurately representing mathematical relationships. Here's a detailed guide on how to do it effectively:

1. Coefficients and Variables
When dealing with algebraic expressions, it is important to distinguish between coefficients (numbers) and variables (letters representing unknown quantities). Coefficients are directly multiplied by variables, so the sign of the coefficient determines whether it is positive or negative.

2. Addition and Subtraction
When adding or subtracting terms in an expression, pay close attention to the signs. If both terms have the same sign, simply add or subtract the coefficients and keep the sign. If the signs are different, subtract the smaller coefficient from the larger one and keep the sign of the larger coefficient.

3. Distribution and Simplification
When distributing a negative sign in an expression, remember to multiply it by each term within parentheses. This applies to both addition and subtraction. Simplify the expression by combining like terms and ensuring the correct signs are applied.

4. Order of Operations
Follow the order of operations (PEMDAS) when simplifying algebraic expressions. This ensures that you perform calculations in the correct sequence and apply signs accurately at each step.

5. Practice and Review
To master adding signs in algebraic expressions, practice regularly and review your work for errors. Pay attention to the details and double-check your calculations to ensure accuracy in representing mathematical relationships.