Related Topics:

More Math Worksheets

More Grade 7 Math Lessons

Grade 7 Math Worksheets

There are five sets of simplifying expressions worksheets:

- Simplify Expressions (Add, Subtract Like Terms)
- Simplify Expressions (Multiply, Divide)
- Simplify Expressions (Distributive Property)
- Simplify Expressions (Combine Like Terms)
- Simplify Expressions (Distributive Property & Combine Like Terms)

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to simplify an expression by combining like terms.

There are three sets of using combining like terms to simplify an expression worksheets.

- Simplify Expressions by Combining Like Terms (One Variable)
- Simplify Expressions by Combining Like Terms (Two Variables)
- Simplify Expressions by Combining Like Terms (Include Distributive Property)

Combining like terms is a technique used in algebra to simplify expressions by grouping together terms that have the same variables raised to the same power. When you combine like terms, you add or subtract their coefficients to create a simplified expression.

Steps on how to use combine like terms:

- Identify like terms

Look at the expression you want to simplify and identify terms that have the same variables raised to the same power. For example, consider the expression:

3x + 2y - 5x + 4y

In this expression, 3x and -5x are like terms because they both have the variable x raised to the first power, and 2y and 4y are like terms because they both have the variable y raised to the first power. - Group like terms together
Group the like terms together. You can rearrange the terms in any order you like, but it’s common to write them in a standard form, with variables in alphabetical order. So, for the example expression:

3x - 5x + 2y + 4y - Combine coefficients

Now, combine the coefficients of the like terms. For each variable, add or subtract the coefficients. In this example:

(3 - 5)x + (2 + 4)y - Perform the arithmetic

Perform the arithmetic for each variable. In this case:

-2x + 6y

Note that when combining like terms, only terms with the same variables raised to the same power can be combined. Terms with different variables or different powers cannot be combined.

Have a look at this video if you need to review how to combine like terms to simplify an expression.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Combining Like Terms Worksheets**.

**Printable**

(Answers on the second page.)

Combining Like Terms Worksheet #1 (one variable)

Combining Like Terms Worksheet #2 (two variables)

Combining Like Terms Worksheet #3 (include combine like terms)

**Online or Generated**

Evaluate Expressions by Substitution

Simplify Expressions by Combining Like Terms

Simplify Expressions using Distributive Property

Use Distributive Property & Combine Like Terms

Solving Equations using Distributive Property

Solving Equations by Combining like terms

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.