Algebra 1 : How to use FOIL in the distributive property

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #151 : How To Use Foil In The Distributive Property

Multiply and simplify:

Possible Answers:

None of the other responses gives the correct answer.

Correct answer:

Explanation:

Using the FOIL method, find the following four products:

F (product of the first terms): 

O (product of the outer  terms): 

I (product of the inner terms): 

L (product of the last terms):  

Add the terms and simplify:

,

the correct choice.

Example Question #152 : How To Use Foil In The Distributive Property

Simplify:  

Possible Answers:

 

Correct answer:

Explanation:

In order to solve this, use the FOIL method to distribute the terms.

Simplify the terms.

Combine like-terms.

The answer is:  

Example Question #151 : How To Use Foil In The Distributive Property

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

Example Question #152 : How To Use Foil In The Distributive Property

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

Example Question #4962 : Algebra 1

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

This is also a common pattern (squaring a binomial) with which you should be familiar.

Watch for the common mistake of squaring the terms individually and leaving out the .

Example Question #152 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first term of the first binomial with both terms of the second binomial.  Then add the second term of the first binomial multiplied with both terms of the second binomial.

Simplify the terms.

Combine like-terms.

The answer is:  

Example Question #151 : How To Use Foil In The Distributive Property

Distribute the product using the FOIL method. 

 

Possible Answers:

Correct answer:

Explanation:

The FOIL method stands for FIRST, OUTER, INNER, LAST. It refers to the terms in the pair of parenthesis. 

We multiply together the

FIRST TERMS: 

OUTER TERMS: 

INNER TERMS: 

LAST TERMS:

Adding them up and combining like terms yields 

Example Question #155 : How To Use Foil In The Distributive Property

Simplify the binomials:  

Possible Answers:

Correct answer:

Explanation:

The FOIL method to multiply binomials is:

Multiply the given problem using this format.

Simplify the right side.

Combine like-terms.

The answer is:  

Example Question #151 : How To Use Foil In The Distributive Property

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

To simply this expression you must distribute correctly.

Using the FOIL method is the easiest wait to do this, so:

FIRST: 

OUTTER: 
INNER: 
LAST: 

Once you combine like-terms you end up with:

Example Question #152 : How To Use Foil In The Distributive Property

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

To do this you must distribute using the FOIL method.

Simplify:

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