Combining like terms worksheet algebra 1 is a fundamental concept in algebra that involves simplifying algebraic expressions by grouping and combining terms with the same variable and exponent. This worksheet provides a structured approach to understanding the concept and practicing its application.

The worksheet begins with an introduction to combining like terms, explaining the concept and its importance in algebraic operations. It then guides users through the steps involved in combining like terms, using clear and concise instructions.

1. Introduction to Combining Like Terms

In algebra, combining like terms involves simplifying expressions by grouping and adding terms that have the same variable and exponent.

The steps involved in combining like terms are:

1. Identify the like terms in the expression.
2. Add the coefficients of the like terms.
3. Combine the variables and exponents of the like terms.

2. Examples of Combining Like Terms

Examples of expressions with like terms that can be combined include:

• 2x + 5x = 7x
• -3y ²+ 6y ²= 3y ²
• 4xy + 2xy = 6xy

3. Methods for Combining Like Terms

There are different methods for combining like terms, including:

Using Tables, Combining like terms worksheet algebra 1

This method involves creating a table to organize the like terms and their coefficients.

Using Equations

This method involves setting up an equation where the like terms are on one side and the combined term is on the other side.

4. Practice Problems

Solve the following problems by combining like terms:

1. 2x + 3x
   

   5x

2. -4y ²+ 6y ²
   

   2y²

3. 3xy + 5xy
   

   2xy

5. Applications of Combining Like Terms

Combining like terms is used in solving algebraic equations by simplifying the expressions on both sides of the equation.

Other real-world applications of combining like terms include:

• Simplifying financial calculations
• Solving problems in physics and engineering
• Analyzing data in statistics

Questions and Answers: Combining Like Terms Worksheet Algebra 1

What are like terms?

Like terms are terms that have the same variable and exponent.

How do I combine like terms?

To combine like terms, add or subtract the coefficients of the like terms and keep the same variable and exponent.

What are some examples of combining like terms?

Some examples of combining like terms include: 2x + 3x = 5x, 4y – 2y = 2y, and -5a + 7a = 2a.