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Name: Date: Algebra 1 Notes Identifying & Combining Likeness Essential Question: What are like terms, and how do you combine them? Review: Terms are separated by Given: Expression Vocab. Given: How

How to fill out identifying combining like-terms

Identifying and combining like-terms is a fundamental concept in algebra that involves simplifying expressions by combining terms that have the same variables and exponents. It is essential for anyone studying algebra or algebraic equations. Here is how to fill out identifying combining like-terms and why it is necessary:

1. Start by understanding like-terms: Like-terms are terms that have the same variables raised to the same exponents. For example, 3x and 2x are like-terms because they both have the variable x raised to the power of 1. Similarly, 4x^2 and -2x^2 are like-terms because they both have x raised to the power of 2.
2. Identify the like-terms in an expression: When given an algebraic expression, such as 7x + 3x - 2 + 5x^2 - 2x^2, the first step is to identify the like-terms. Here, the like-terms are 7x, 3x, and 5x^2, while the constant terms are -2 and -2x^2.
3. Combine the like-terms: To simplify the expression, we need to combine the like-terms. Add or subtract the coefficients of the like-terms, while keeping the variables and exponents unchanged. In the given expression, we can combine the like-terms as follows:

7x + 3x + 5x^2 - 2x^2 - 2

= (7x + 3x) + (5x^2 - 2x^2) - 2

= 10x + 3x^2 - 2

Understanding the importance of combining like-terms: Identifying and combining like-terms is crucial in simplifying algebraic expressions and solving equations. It helps to clarify and organize the expression, making it easier to understand and manipulate. By combining like-terms, we can simplify expressions, solve equations, and make calculations more efficient.

In conclusion, anyone studying algebra or dealing with algebraic expressions and equations needs to understand and apply the concept of identifying and combining like-terms. By following the steps mentioned above, individuals can simplify expressions and solve equations more effectively.

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What is identifying combining like-terms?

Identifying combining like-terms is the process of simplifying an algebraic expression by combining terms that have the same variable.

Who is required to file identifying combining like-terms?

Students learning algebra or individuals working with algebraic expressions may need to identify and combine like-terms.

How to fill out identifying combining like-terms?

To fill out identifying combining like-terms, you need to look for terms with the same variable and combine them using addition or subtraction.

What is the purpose of identifying combining like-terms?

The purpose of identifying combining like-terms is to simplify algebraic expressions and make them easier to work with and understand.

What information must be reported on identifying combining like-terms?

On identifying combining like-terms, you must report the terms with the same variables and how they are combined.