Algebra 1 : Distributive Property

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #131 : Distributive Property

Simplify the following question:

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, you must distribute each term using the FOIL method. 

You need to multiply the first terms in each parentheses, then the outside terms, followed by the inside terms, and finshed with the last terms. The steps are outlined below:

1. 

2. 

3. 

4. 

You should end up with , which then simplifies to  when you combine like terms.

Example Question #131 : Distributive Property

Expand:  

Possible Answers:

Correct answer:

Explanation:

In order to expand this expression, use the FOIL method to solve.

The terms will be written out in order.

Simplify the right side of the equal sign.

Combine like-terms.

The answer is:   

Example Question #11 : Foil

Simplify the following using the distributive property of FOIL:

Possible Answers:

Correct answer:

Explanation:

When using the FOIL method to distribute, we do the following:

FIRST

OUTSIDE

INSIDE

LAST

In other words, we multiply the first terms, the outside terms, the inside terms, and the last terms.

FIRST 

OUTSIDE 

INSIDE 

LAST 

 

Now, we combine all the terms.  We get

We can simplify, and we are left with

Example Question #133 : Distributive Property

Use FOIL to expand the following expression:

Possible Answers:

Correct answer:

Explanation:

FOIL stands for First, Outer, Inner, Last. Move through the expression and distribute the appropriate values through multiplication

First: 

Outer: 

Inner: 

Last: 

Put all terms together, and then combine like terms:

   The two  terms can be combined

 

Example Question #131 : How To Use Foil In The Distributive Property

Foil the following:

Possible Answers:

Correct answer:

Explanation:

To foil, you must multiply your terms according to the accronym. Thus, multiply the first, then outside, then inside, then last. Thus,

Example Question #132 : Distributive Property

Foil   

Possible Answers:

Correct answer:

Explanation:

To foil these two terms we multiply every term in the second term by "x" and "-2" respectively. Or we can follow the acronym FOIL.

Multiply the FIRST terms:

Multiply OUTER terms:

Multiply INNER terms:

Multiply LAST terms:

Combine like terms:

Example Question #133 : Distributive Property

Which of the following pairs of factors multiply to make ?

Possible Answers:

None of these.

Correct answer:

Explanation:

Use the FOIL method to multiply the factors to find the correct pair.

Multiply FIRST terms:

Multiply OUTER terms:

Multiply INNER terms:

Multiply LAST terms:

Combine like terms:

Example Question #134 : Distributive Property

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to expand the terms.

Simplify each term.

Combine like terms.

The answer is:  

Example Question #132 : How To Use Foil In The Distributive Property

Use the FOIL method to solve:  

Possible Answers:

Correct answer:

Explanation:

The FOIL method is the following:

Follow the example and multiply out the terms.

Simplify and combine like-terms.

The answer is:  

Example Question #133 : How To Use Foil In The Distributive Property

Find the product.  Simplify the answer.

Possible Answers:

Correct answer:

Explanation:

 

Foil

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