How to use the distributive property with variables | 6th grade | Khan Academy

TL;DR

Apply the distributive property to simplify expressions by distributing the coefficient to each term inside the parentheses.

Transcript

We're asked to apply the distributive property. And we have 1/2 times the expression 2a-6b+8. So, to figure this out, I've actually already copy and pasted this problem onto my scratch pad. I have it right over here. 1/2(2a-6b+8). So, lemme just rewrite it. So, I'm gonna take, and lemme color code it, too, just for fun, so it's going to be 1/2 time... Read More

Key Insights

• 😑 The distributive property is a fundamental concept in algebra that helps simplify expressions.
• 🍉 Applying the distributive property involves multiplying a coefficient to each term inside the parentheses.
• 😑 By distributing the coefficient, the expression can be expanded and simplified.
• 🍉 It is important to recognize the terms inside the parentheses before applying the distributive property.

Questions & Answers

Q: What is the distributive property used for?

The distributive property is used to simplify expressions by distributing a coefficient to each term inside the parentheses. It allows us to perform operations on each term individually.

Q: How do you apply the distributive property?

To apply the distributive property, multiply the coefficient outside the parentheses with each term inside the parentheses. This involves multiplying the coefficient with each individual term.

Q: How do you know if you have applied the distributive property correctly?

If the expression is simplified and in its equivalent form, then you have applied the distributive property correctly. Each term inside the parentheses should be multiplied by the coefficient.

Q: Can you provide an example of applying the distributive property?

Sure! For example, if we have 1/2(2a-6b+8), we can distribute the 1/2 to each term inside the parentheses. This yields the simplified expression a-3b+4.

Summary & Key Takeaways

• The distributive property is used to simplify expressions by distributing a coefficient to each term inside the parentheses.

• The process involves multiplying the coefficient with each individual term inside the parentheses.

• By applying the distributive property correctly, the expression can be simplified to its equivalent form.