Algebra II : FOIL

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3 4 5 6 7 8

Example Question #1 : Foil

Expand this expression:

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method (First, Outer, Inner, Last):

Put all of these terms together:

Combine like terms:

Example Question #2 : 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 #4 : How To Simplify Binomials

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Foil

Foil:

Possible Answers:

Correct answer:

Explanation:

First:

Outside:

Inside:

Last:

Example Question #4 : Foil

FOIL .

Possible Answers:

Correct answer:

Explanation:

(2x + 3)(x + 5)

First: 2x multiplied by x = 2x²

Outer: 2x multiplied by 5 = 10x

Inner: 3 multiplied by x = 3x

Lasts: 3 multiplied by 5 = 15

Put it all together: 2x² + 10x + 3x + 15

Simplify: 2x² + 13x + 15

Example Question #5 : Foil

Use FOIL method to expand the product.

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First, Outside, Inside, Last.

Multiply using FOIL and group like terms.

Example Question #6 : Foil

Expand the following expression:

Possible Answers:

Correct answer:

Explanation:

Expand the expression  using the FOIL Method:

 

FIRST: 

OUTER: 

INNER: 

LAST: 

 

Therefore:

Example Question #7 : Foil

Simplfy and combine like terms:

Possible Answers:

Correct answer:

Explanation:

For this problem we need to use FOIL which stands for Firsts, Outters, Inners, Last. This describes the order of distributing and multiplying the binomials.

Firsts gets us 

Outters gets us 

Inners gets us 

Lasts gets us 

Rewriting these in an equation form we get:

Now we combine the like terms of -10x and 3x which results in:

Example Question #8 : Foil

Expand the following binomial product:

Possible Answers:

Correct answer:

Explanation:

When multiplying two binomials, you have to remember to multiply using the "FOIL" system (First, Outside, Inside, Last). This means you will need to multiply four different pairs of terms together to get your trinomial. 

First, you multiply the first terms in each binomial together:

Outside, you multiply the outside terms together:

(Don't forget the negative sign!)

Inside:

(Don't forget the negative sign here, either!)

Last:

(Don't forget that here, the negative signs cancel.)

Then, you add all of the products together:

Example Question #9 : Foil

Expand the following binomial product:

Possible Answers:

Correct answer:

Explanation:

When multiplying two binomials, you have to remember to multiply using the "FOIL" system (First, Outside, Inside, Last). This means you will need to multiply four different pairs of terms together to get your trinomial. 

First, you multiply the first terms in each binomial together:

Outside, you multiply the outside terms together:

(Don't forget the negative sign!)

Inside:

Last:

Then, you add them all together:

← Previous 1 3 4 5 6 7 8
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: