Pre-Algebra : Distributive Property

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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

Simplify the expression:

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

Example Question #13 : Distributive Property

Simplify:  

Possible Answers:

Correct answer:

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:  

Possible Answers:

Correct answer:

Explanation:

Distribute  throughout every term in the parentheses.

Simplify the terms.

Example Question #15 : Distributive Property

Which of the following displays the distributive property?

Possible Answers:

Correct answer:

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:

 

Possible Answers:

Correct answer:

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.

Possible Answers:

Distributive Property

Identity Property

Associative Property of Multiplication

Multiplication Property

Communitive Property of Multiplication

Correct answer:

Distributive Property

Explanation:

Multiplying each term on the outside of the parenthesis by each term on the inside refers to the distributive property.

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