Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #4961 : Algebra 1

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 #142 : 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:

Example Question #151 : 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 #151 : How To Use Foil In The Distributive Property

Simplify:  

Possible Answers:

 

Correct answer:

Explanation:

In order to solve this, use the FOIL method to distribute the terms.

Simplify the terms.

Combine like-terms.

The answer is:  

Example Question #4961 : Algebra 1

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

Example Question #152 : How To Use Foil In The Distributive Property

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

Example Question #4962 : Algebra 1

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to distribute:

First: 

Outer: 

Inner: 

Last: 

Then simply combine like terms.

This is also a common pattern (squaring a binomial) with which you should be familiar.

Watch for the common mistake of squaring the terms individually and leaving out the .

Example Question #152 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify:  

Possible Answers:

Correct answer:

Explanation:

Multiply the first term of the first binomial with both terms of the second binomial.  Then add the second term of the first binomial multiplied with both terms of the second binomial.

Simplify the terms.

Combine like-terms.

The answer is:  

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