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 #81 : Distributive Property

Simplify the following expression: .

Possible Answers:

Correct answer:

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #82 : How To Use Foil In The Distributive Property

Simplify the following expression: .

Possible Answers:

Correct answer:

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #82 : Distributive Property

Simplify the following expression: .

Possible Answers:

None of the above

Correct answer:

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #81 : How To Use Foil In The Distributive Property

Expand

Possible Answers:

2

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: 

 

Solution:

Example Question #84 : Distributive Property

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to simplify this expression.

The answer is:  

Example Question #82 : How To Use Foil In The Distributive Property

Simplify the following expression: .

Possible Answers:

Correct answer:

Explanation:

 In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #85 : Distributive Property

Simplify the following expression: .

Possible Answers:

Correct answer:

Explanation:

 In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #86 : Distributive Property

Simplify the following expression: .

Possible Answers:

Correct answer:

Explanation:

 In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given , then:

First: 

Outer: 

Inner: 

Last: 

Thus, by FOIL:

Example Question #87 : Distributive Property

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

Possible Answers:

Correct answer:

Explanation:

2x, (x+1), and (x-1) are separate factors being multiplied, so it doesn't matter what order you multiply them together.  I choose to multiply (x+1) and (x-1) first.

 

Example Question #83 : How To Use Foil In The Distributive Property

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

Possible Answers:

Correct answer:

Explanation:

Following the pattern of FOIL, we muliply each element of each polynomial with each other and add them together:

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