Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #2 : Foil

Multiply the binomials below.

Possible Answers:

Correct answer:

Explanation:

The FOIL method yields the products below.

First:

Outside:

Inside:

Last:

Add these four terms, and combine like terms, to obtain the product of the binomials.

Example Question #3 : Foil

Factor the expression below.

Possible Answers:

Correct answer:

Explanation:

First, factor out an , since it is present in all terms.

We need two factors that multiply to and add to .

and

Our factors are and .

We can check our answer using FOIL to get back to the original expression.

First:

Outside:

Inside:

Last:

Add together and combine like terms.

Distribute the  that was factored out first.

Example Question #4 : How To Use Foil In The Distributive Property

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Distributive Property

Expand:

Possible Answers:

 

Correct answer:

Explanation:

To expand , use the FOIL method, where you multiply each expression individually and take their sum. This will give you

or

Example Question #11 : How To Use Foil In The Distributive Property

Expand :

Possible Answers:

Correct answer:

Explanation:

To expand , you must use the FOIL method to multiply the two expressions distributively. Utilizing the FOIL method gives you or .

Example Question #12 : How To Use Foil In The Distributive Property

Use FOIL to simplify the expression .

Possible Answers:

Correct answer:

Explanation:

FOIL stands for "First, Outside, Inside, Last" and represents a quick way to multiply binomials.

We start with the "first" terms of the expression  and multiply them together, yielding .

Multiplying the "outside" terms gives us  

and the inside gives us .

Finally, multiplying the "last" terms yields , or .

Simple addition of these terms gives us the expression , and subtracting 2 gives us our final answer.

Example Question #13 : Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

To expand , you can use the FOIL method to multiply each  term individually. This will give you , or .

Example Question #13 : How To Use Foil In The Distributive Property

Use the FOIL method to evaluate .

Possible Answers:

Correct answer:

Explanation:

FOIL (First, Outside, Inside, Last) refers to a method used to multiply binomials. As the name indicates, our first step is to multiply the first terms of each binomial together. This gives us , or . Next, we multiply the "outside" terms together, yielding  or , and do the same for the "inside" terms, which yield . Finally, the product of the last terms in each binomial is , which equals . Our next step is adding these values together to get . So, our final answer is .

Example Question #14 : How To Use Foil In The Distributive Property

Multiply

Possible Answers:

Correct answer:

Explanation:

Using the FOIL method:

 

Example Question #15 : How To Use Foil In The Distributive Property

Use the FOIL method to simplify

Possible Answers:

Correct answer:

Explanation:

FIRST: 

OUTER:  

INNER: 

LAST: 

Simplify (combinding like terms): 

Answer:   

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