High School Math : Using FOIL

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.

Multiply terms by way of FOIL method.

Now multiply and simplify.

Example Question #2 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #3 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #3 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #4 : Using Foil

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember FOIL stands for First Outer Inner Last. That means we can take  and turn it into .

Simplify to get .

Example Question #5 : Using Foil

FOIL .

Possible Answers:

Correct answer:

Explanation:

 is the same thing as .

Remember that FOIL stands for First Outer Inner Last.

For this problem, that would be 

Simplify that to .

Example Question #6 : Using Foil

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify.

Example Question #7 : Using Foil

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify:

 

 

Example Question #8 : Using Foil

Solve the equation for .

Possible Answers:

Correct answer:

Explanation:

Cross multiply.

Set the equation equal to zero.

Factor to find the roots of the polynomial.

 and

Example Question #9 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.

Multiply terms by way of FOIL method.

Now multiply and simplify.

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