Examples, solutions, videos, and lessons to help Grade 6 students learn to apply the properties of operations to generate equivalent expressions.

For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Common Core: 6.EE.3

### Suggested Learning Targets

• I can use properties of operations to create equivalent expressions.
• I can create equivalent expressions using the properties of operations (e.g. distributive property, associative property, adding like terms with the addition property or equality, etc.).
• I can apply the properties of operations to create equivalent expressions.

Apply properties of operations to generate equivalent expressions (Standard 6.EE.3)
The Distributive Property (6.EE.3)
How does distributing work?
Why is distributing important for working with variables.
Factoring is the opposite of distributing.

Use Distributive Property to Write Equivalent Expressions
Learn how to take an expression like 12a+8b and rewrite it using the distributive property.

Equivalent Expressions
Use properties to write an equivalent expression that has no like terms and parentheses.

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.