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 #111 : Distributive Property

Use FOIL to expand the given quadratic equation:

Possible Answers:

Correct answer:

Explanation:

Using FOIL, we multiply the binomials in order of Firsts, Outsides, Insides and Lasts:

Example Question #112 : How To Use Foil In The Distributive Property

Simplify the following by distributing:

Possible Answers:

Correct answer:

Explanation:

You must first recognize that the negative sign in front of the first parenthesis means  you must distribute this to both terms, so you get:

Then you must distribute the  to both terms to get:

Finally you must combine like terms to get

  and simplify to end with  

Example Question #112 : Distributive Property

Evaluate:

Possible Answers:

Correct answer:

Explanation:

We can use FOIL to multiply these two binomials:

Example Question #114 : Distributive Property

Solve the following using the FOIL method.

Possible Answers:

Correct answer:

Explanation:

To solve, we will distribute using the FOIL method.  FOIL stands for 

 

FIRST

OUTSIDE

INSIDE

LAST

 

Given the following

 

We will take the FIRST terms and multiply them together.  We get

 

We will take the OUTSIDE terms and multiply them together.  We get

 

We will take the INSIDE terms and multiply them together.  We get

 

We will take the LAST terms and multiply them together.  We get

 

Now, we write out the solution using the answers we just calculated.  We get

 

When we simplifty, we get

Example Question #114 : How To Use Foil In The Distributive Property

Multiply.  Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

First, write out each factor:

Then, FOIL between two of them:

Then, multiply each element of the first one by each element of the other one.

Example Question #111 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL, which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: x and x

Outside items: x and 3

Inside items: 2 and x

Last items: 2 and 3

 

 

Example Question #113 : Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: x and x

Outside items: x and 5

Inside items: -3 and x

Last items: -3 and 5

Example Question #113 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: x and x

Outside items: x and -4

Inside items: 4 and x

Last items: 4 and -4

Example Question #114 : Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: 2x and 3x

Outside items: 2x and -2

Inside items: 1 and 3x

Last items: 1 and -2

Example Question #115 : Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Recall FOIL, which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Firsts: 4x * 4x

Outer: 4x*-5

Inner: 5*4x

Lasts:5*-5

When the binomials are conjugate pairs (in the form (a + b)(a - b)), the middle term will always drop out since the inside and outside products will sum to zero.

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