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 #4821 : Algebra 1

Expand :

Possible Answers:

Correct answer:

Explanation:

To expand , you must use the FOIL method to multiply the two expressions distributively. Utilizing the FOIL method gives you or .

Example Question #11 : How To Use Foil In The Distributive Property

Use FOIL to simplify the expression .

Possible Answers:

Correct answer:

Explanation:

FOIL stands for "First, Outside, Inside, Last" and represents a quick way to multiply binomials.

We start with the "first" terms of the expression  and multiply them together, yielding .

Multiplying the "outside" terms gives us  

and the inside gives us .

Finally, multiplying the "last" terms yields , or .

Simple addition of these terms gives us the expression , and subtracting 2 gives us our final answer.

Example Question #11 : Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

To expand , you can use the FOIL method to multiply each  term individually. This will give you , or .

Example Question #12 : How To Use Foil In The Distributive Property

Use the FOIL method to evaluate .

Possible Answers:

Correct answer:

Explanation:

FOIL (First, Outside, Inside, Last) refers to a method used to multiply binomials. As the name indicates, our first step is to multiply the first terms of each binomial together. This gives us , or . Next, we multiply the "outside" terms together, yielding  or , and do the same for the "inside" terms, which yield . Finally, the product of the last terms in each binomial is , which equals . Our next step is adding these values together to get . So, our final answer is .

Example Question #4822 : Algebra 1

Multiply

Possible Answers:

Correct answer:

Explanation:

Using the FOIL method:

 

Example Question #11 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify

Possible Answers:

Correct answer:

Explanation:

FIRST: 

OUTER:  

INNER: 

LAST: 

Simplify (combinding like terms): 

Answer:   

Example Question #11 : How To Use Foil In The Distributive Property

Evaluate using FOIL

Possible Answers:

Correct answer:

Explanation:

First: 

Outer: 

Inner: 

Last: 

Simplify (combind like terms): 

Answer: 

Example Question #11 : Distributive Property

Factor the polynomial.

Possible Answers:

Correct answer:

Explanation:

We need to factor to find terms that multiply to and add to .

Now we can write our factored expression.

We can check our answer using FOIL.

Example Question #4831 : Algebra 1

Expand:

Possible Answers:

Correct answer:

Explanation:

To multiply , you can use the FOIL method. Using the FOIL method, you must multiply each of the terms individually: . This gives you the end result of .

Example Question #14 : Distributive Property

Multiply the following binomials.

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method.

First:

Inside:

Ouside:

Last:

Sum the terms. No terms can be combined in this example.

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