Algebra 1 : How to use FOIL in the distributive property

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #4971 : Algebra 1

Multiply: and

Possible Answers:

Correct answer:

Explanation:

Here we have to use the distributive property and FOIL when we are multiplying the two terms. First we multipy the terms in the binomial with the trinomial. Then we add or subtract the coefficients of the terms with same combination of variables x and y.

Example Question #162 : How To Use Foil In The Distributive Property

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to multiply the terms.

Simplify the terms on the right side of the equation.

Combine like-terms.

The answer is:  

Example Question #161 : How To Use Foil In The Distributive Property

Distribute using FOIL:

Possible Answers:

Correct answer:

Explanation:

As we know, FOIL stands for First, Outside, Inside, Last, which indicates the order in which we should multiply each of these terms.

First: 

Outside: 

Inside: 

Last: 

We then combine like terms, which in this case are  and . When we add these together, we are left with a trinomial of . None of the remaining terms are alike, so there is no further simplification possible.

Example Question #161 : How To Use Foil In The Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

To expand this set of binomials we need to FOIL the terms. FOIL is the multiplication steps that need to be applied to a set of binomials.

First:  

Outer:  

Inner:

Last:

 

Example Question #162 : How To Use Foil In The Distributive Property

Multiply 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to multiply the polynomials:

(3x+4)(x-2)

 

 F - Multiply the first terms of each binomial

 

O- Multiply the outside terms of each binomial

 

I- Multiply the inside terms of each binomial

 

 

L- Multiply the last terms of each binomial

 

Add all of the answers and combine like terms

Example Question #161 : How To Use Foil In The Distributive Property

Simplify the following expression.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

Use FOIL to distribute each term.

F: 

O: 

I: 

L:

If possible, combine like terms (none in this case).

Example Question #163 : How To Use Foil In The Distributive Property

Factor the following expression.

Possible Answers:

Correct answer:

Explanation:

For an expression in the form , in its simplest form where , find two integers whose sum is  and whose product is .

 

In the case of

3 and 4 fit the requirements. Therefore, our answer looks like:

Example Question #162 : How To Use Foil In The Distributive Property

Factor the following expression.

Possible Answers:

Correct answer:

Explanation:

For an expression in the form , in its simplest form where , find two integers whose sum is  and whose product is .

In the case of

 and  fit the requirements. Therefore, our answer looks like:

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