Worksheet On Combining Like Terms

Understanding Combining Like Terms in Algebra

Combining like terms is a fundamental concept in algebra that involves simplifying expressions by combining terms that have the same variable raised to the same power. In this worksheet, we will explore the concept of combining like terms and provide examples to help you understand and practice this important skill.

What are Like Terms?

Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, in the expression 2x + 3x, both terms are like terms because they both have the variable x raised to the power of 1.

Why Combine Like Terms?

Combining like terms is an important step in simplifying algebraic expressions. By combining like terms, we can simplify expressions and make them easier to work with. This skill is also essential for solving equations and inequalities.

How to Combine Like Terms

To combine like terms, we add or subtract the coefficients of the terms. The coefficient is the number that is multiplied by the variable. For example, in the expression 2x + 3x, the coefficients are 2 and 3.

Here are the steps to combine like terms:

• Identify the like terms in the expression.
• Add or subtract the coefficients of the like terms.
• Write the simplified expression.

📝 Note: When combining like terms, we only combine the coefficients. The variable and exponent remain the same.

Examples of Combining Like Terms

Let’s practice combining like terms with some examples:

1. 2x + 3x =?

To combine like terms, we add the coefficients: 2 + 3 = 5.

So, 2x + 3x = 5x.

1. 4y - 2y =?

To combine like terms, we subtract the coefficients: 4 - 2 = 2.

So, 4y - 2y = 2y.

1. 3z + 2z - z =?

To combine like terms, we add and subtract the coefficients: 3 + 2 - 1 = 4.

So, 3z + 2z - z = 4z.

Practice Problems

Now it’s your turn to practice combining like terms. Simplify the following expressions:

1. 2x + 5x =?
2. 3y - 2y =?
3. 4z + 2z - z =?
4. 2x + 3x - x =?
5. 5y + 2y - 3y =?

📝 Note: Remember to only combine the coefficients and keep the variable and exponent the same.

Common Mistakes to Avoid

When combining like terms, there are some common mistakes to avoid:

• Combining unlike terms: Make sure to only combine terms that have the same variable raised to the same power.
• Changing the variable or exponent: Remember to keep the variable and exponent the same when combining like terms.

Conclusion

Combining like terms is an essential skill in algebra that helps simplify expressions and make them easier to work with. By following the steps and practicing with examples, you can master this skill and become more confident in your algebra abilities.

Related Terms:

• Combining like terms PDF