Simplifying algebraic expressions is a fundamental concept in mathematics, and it's essential to understand the steps involved in simplifying expressions like 2x + 6x.
Step 1: Identify Like Terms
The first step in simplifying the expression 2x + 6x is to identify the like terms. Like terms are terms that have the same variable raised to the same power. In this case, both terms have the variable x raised to the power of 1.
What are Like Terms?
Like terms are terms that have the same variable raised to the same power. For example, 2x and 6x are like terms because they both have the variable x raised to the power of 1.
Step 2: Combine Like Terms
Once you have identified the like terms, the next step is to combine them. To combine like terms, you simply add or subtract their coefficients. In this case, you add the coefficients of 2x and 6x, which are 2 and 6, respectively.
2x + 6x = (2 + 6)x
Why Combine Like Terms?
Combining like terms helps to simplify algebraic expressions by reducing the number of terms. This makes it easier to work with the expression and can help to avoid errors.
Step 3: Simplify the Expression
The final step is to simplify the expression by evaluating the sum of the coefficients.
(2 + 6)x = 8x
Therefore, the simplified form of the expression 2x + 6x is 8x.
Benefits of Simplifying Algebraic Expressions
Simplifying algebraic expressions has several benefits, including:
- Reduces the risk of errors
- Makes it easier to work with complex expressions
- Helps to identify patterns and relationships between variables
- Enhances problem-solving skills
By following these three steps, you can simplify algebraic expressions like 2x + 6x and develop a strong foundation in mathematics.
Don't forget to share your thoughts and experiences with simplifying algebraic expressions in the comments section below!
What are like terms in algebra?
+Like terms are terms that have the same variable raised to the same power.
Why is it important to simplify algebraic expressions?
+Simplifying algebraic expressions reduces the risk of errors, makes it easier to work with complex expressions, and enhances problem-solving skills.
How do you combine like terms in algebra?
+To combine like terms, you simply add or subtract their coefficients.