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 #101 : Distributive Property

Distribute.

Possible Answers:

Correct answer:

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply  and  and then since the operation inside the parenthesis is addition, we keep it addition. Finally, we multiply  and  and we get .

Example Question #4912 : Algebra 1

Distribute.

Possible Answers:

Correct answer:

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply  and  and then since the operation inside the parenthesis is subtraction, we keep it subtraction. Finally, we multiply  and  and we get .

Example Question #103 : Distributive Property

Distribute.

Possible Answers:

Correct answer:

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply  and  and then since the operation inside the parenthesis is addition, we keep it addition. Finally, we multiply  and  and we get . The plus and minus together becomes a minus sign so our answer is now .

Example Question #104 : Distributive Property

Distribute.

Possible Answers:

Correct answer:

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply  and  and then since the operation inside the parenthesis is subtraction, we keep it subtraction. Finally, we multiply  and  and we get . Two minus signs become plus sign so our answer is now .

Example Question #4912 : Algebra 1

Distribute and simplify.

Possible Answers:

Correct answer:

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial 

O: Multiply the outer terms from both binomials 

I: Multiply the inner terms from both binomials 

L: Multiply the last terms in each binomial 

Finally, we add them all up and we get . Since there is a negative sign, we need to distribute it and finally get .

Example Question #101 : Distributive Property

Distribute and simplify. 

Possible Answers:

Correct answer:

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial

O: Multiply the outer terms from both binomials 

I: Multiply the inner terms from both binomials 

L: Multiply the last terms in each binomial 

Finally, we add them all up and we get . Since there is a negative sign, we need to distribute it. All the plus and minus sign combinations become minus signs and two minus signs become a plus sign. We finally get .

Example Question #107 : How To Use Foil In The Distributive Property

Simplify the following equation:

Possible Answers:

Correct answer:

Explanation:

To simplify this equation you must first do what is in parentheses according to PEMDAS. 

So, 

After this you must square the 

So, 

And finally you must multiply that by 

So, 

Example Question #101 : How To Use Foil In The Distributive Property

Expand the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplifying:

Example Question #108 : Distributive Property

Multiply:

Possible Answers:

Correct answer:

Explanation:

Use FOIL (First, Outside, Inside, Last) to solve:

First:

Outside:

Inside:

Last:

This gives us:

Now combine like terms ('s) to get

Example Question #102 : How To Use Foil In The Distributive Property

Use FOIL to expand the following:

Possible Answers:

Correct answer:

Explanation:

Using FOIL, we can easily expand the given polynomial:

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