# Pre-Algebra : Distributive Property

## Example Questions

### Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the expression:

Explanation:

To solve this question you must use the distrubitive property by multiplying x by -2 and the 2 by -2, making sure to distribute the negative as well. This gives you:

### Example Question #11 : Distributive Property

Simplify the expression:

Explanation:

Recall the distributive property:

Therefore, we must multiply everything inside the parentheses by .

To simplify further, recall that multiplying like bases mean you add their exponents.

### Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Which answer correctly simplifies this expression?

Explanation:

To simplify this expression, use the distributive property. This means that we have to multiply the 2 times both terms inside the parentheses. , and . So, our answer is .

### Example Question #3 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the following expression:

Explanation:

Apply the distributive property of multiplication to remove the parenthesis from the given expression. Multiply the term outside of the parenthesis to each of the terms inside the parenthesis.

### Example Question #12 : Distributive Property

Which of the answers correctly shows the following equation distributed correctly?

Explanation:

### Example Question #13 : Distributive Property

Simplify:

Explanation:

Use the distributive property to simplify the expression.

This means multiply the  with each term within the parentheses.

### Example Question #14 : Distributive Property

Use the distributive property to evaluate:

Explanation:

Distribute  throughout every term in the parentheses.

Simplify the terms.

### Example Question #15 : Distributive Property

Which of the following displays the distributive property?

Explanation:

The distributive property is defined as a way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multipled by a factor outside the parentheses.  So,

displays just that.

### Example Question #4 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the following:

Explanation:

This is applying to distrubtive property and then combining like terms.

First you distrubute the negative to the two terms in the first parentheses, so:

Then do the same for the four:

Finally, combine like terms to get:

### Example Question #3 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Name the property used to solve the problem.

Distributive Property

Identity Property

Associative Property of Multiplication

Multiplication Property

Communitive Property of Multiplication