combining like terms
When solving math equations or simplifying expressions, combining like terms involves grouping together terms that have the same variable(s) raised to the same power(s)
When solving math equations or simplifying expressions, combining like terms involves grouping together terms that have the same variable(s) raised to the same power(s). This process helps simplify expressions by reducing the number of terms in an equation.
To combine like terms, follow these steps:
1. Identify the terms with the same variable(s) and exponent(s). For example, consider the expression: 3x + 2x – 5y + 4x – 7y.
2. Group together the like terms and add or subtract them. In the above example, the like terms are: 3x, 2x, and 4x, while -5y and -7y are also like terms.
– Combine the x-terms: 3x + 2x + 4x = 9x.
– Combine the y-terms: -5y – 7y = -12y.
3. Rewrite the expression using the combined terms: 9x – 12y.
The process of combining like terms is crucial when simplifying and solving equations, as it allows for easier manipulation and calculation of the terms involved.
More Answers:
Understanding the Importance and Types of Constants in MathematicsRecognizing and Combining Like Terms in Mathematics | An Essential Step for Simplifying Algebraic Expressions and Solving Equations
Understanding Variables in Mathematics | The Key to Solving Equations and Modeling Relationships