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 #4952 : Algebra 1

Find the product.  Simplify the answer.

Possible Answers:

Correct answer:

Explanation:

 

Foil2

Example Question #142 : Distributive Property

Solve the following using the FOIL method of distribution.

Possible Answers:

Correct answer:

Explanation:

When solving using FOIL, we solve in the following order:

FIRST

OUTSIDE

INSIDE

LAST

When looking at the problem

we will solve

FIRST

OUTSIDE

INSIDE

LAST

 

Now, we combine the terms and get

and simplify

Example Question #142 : Distributive Property

Expand:  

Possible Answers:

Correct answer:

Explanation:

Use the following example to distribute the terms.

Write down the terms for the binomals, .

Simplify all terms.

The answer is:  

Example Question #143 : How To Use Foil In The Distributive Property

Use the FOIL method to expand the following:

Possible Answers:

Correct answer:

Explanation:

To FOIL, you must remember that foil stands for F-first, O-ouside, I-inside, L-last. This means you must multiply those terms together and then sum them up. Thus,

 

Example Question #144 : How To Use Foil In The Distributive Property

Expand the following into a single polynomial:

Possible Answers:

Correct answer:

Explanation:

To simplify the given product of two binomials into a single polynomial, we must FOIL, which states that given the following binomial:

or in words, the first two terms are multiplied, the last two terms are multiplied, the inner two terms are multiplied, the last two terms are multiplied, and those are all summed together.

For our two binomials, using the above formula, we get

 

 

 

Example Question #145 : 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:

Example Question #142 : 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 #143 : 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:

Example Question #143 : Distributive Property

Find the square of .

Possible Answers:

None of the other responses gives the correct answer.

Correct answer:

None of the other responses gives the correct answer.

Explanation:

The square of  can be found by setting  and  in the following pattern:

None of the given responses match this answer.

Example Question #144 : 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:

The produc of the sum and the difference of these two terms can be found by setting  and  in the following pattern:

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