Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #121 : Distributive Property

Foil

.

Possible Answers:

Correct answer:

Explanation:

Multiply the first term of the first factor by the first term of the second factor.

This gives .

Then multiple the first term of the first factor by the second term of the second factor.

This gives .

Then multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Then multply the third term of the first factor by the first term of the second factor to get .

Multiply the third term of the first factor by the second term of the second factor to get .

Finally, add all the terms together (you can do this because all the terms are positive) and combine like terms to get the answer.

Example Question #124 : How To Use Foil In The Distributive Property

Foil

.

Possible Answers:

Correct answer:

Explanation:

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Add these all together and arrange in order of descending exponents to get the answer.

Example Question #125 : How To Use Foil In The Distributive Property

Foil

.

Possible Answers:

Correct answer:

Explanation:

It's easiest to set aside the x factor for later and just deal with the two factors in parentheses first.

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second factor of the first term by the second factor of the second term to get .

Then add everything together in order of descending exponentials and combine like terms to get .

Then remember to multiply all terms by x to get the final answer!

Example Question #4941 : Algebra 1

Foil

.

Possible Answers:

Correct answer:

Explanation:

Multiply the first term of the first factor by the first term of the second factor to get .

Multiply the first term of the first factor by the second term of the second factor to get .

Multiply the second term of the first factor by the first term of the second factor to get .

Multiply the second term of the first factor by the second term of the second factor to get .

Finally, add all these terms together in order of decreasing exponentials and paying attention to the negative numbers to get the answer.

Example Question #131 : Distributive Property

Simplify the following question:

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, you must distribute each term using the FOIL method. 

You need to multiply the first terms in each parentheses, then the outside terms, followed by the inside terms, and finshed with the last terms. The steps are outlined below:

1. 

2. 

3. 

4. 

You should end up with , which then simplifies to  when you combine like terms.

Example Question #131 : Distributive Property

Expand:  

Possible Answers:

Correct answer:

Explanation:

In order to expand this expression, use the FOIL method to solve.

The terms will be written out in order.

Simplify the right side of the equal sign.

Combine like-terms.

The answer is:   

Example Question #11 : Foil

Simplify the following using the distributive property of FOIL:

Possible Answers:

Correct answer:

Explanation:

When using the FOIL method to distribute, we do the following:

FIRST

OUTSIDE

INSIDE

LAST

In other words, we multiply the first terms, the outside terms, the inside terms, and the last terms.

FIRST 

OUTSIDE 

INSIDE 

LAST 

 

Now, we combine all the terms.  We get

We can simplify, and we are left with

Example Question #133 : Distributive Property

Use FOIL to expand the following expression:

Possible Answers:

Correct answer:

Explanation:

FOIL stands for First, Outer, Inner, Last. Move through the expression and distribute the appropriate values through multiplication

First: 

Outer: 

Inner: 

Last: 

Put all terms together, and then combine like terms:

   The two  terms can be combined

 

Example Question #4941 : Algebra 1

Foil the following:

Possible Answers:

Correct answer:

Explanation:

To foil, you must multiply your terms according to the accronym. Thus, multiply the first, then outside, then inside, then last. Thus,

Example Question #133 : Distributive Property

Foil   

Possible Answers:

Correct answer:

Explanation:

To foil these two terms we multiply every term in the second term by "x" and "-2" respectively. Or we can follow the acronym FOIL.

Multiply the FIRST terms:

Multiply OUTER terms:

Multiply INNER terms:

Multiply LAST terms:

Combine like terms:

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