Algebra II : Intermediate Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #7 : 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 #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:

Last:

Then, you add them all together:

Example Question #191 : Intermediate Single Variable Algebra

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:

Inside:

(Don't forget the negative sign!)

Last:

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

Then, you add the products together:

Example Question #31 : Quadratic Equations And Inequalities

Use FOIL to distribute the following:

Possible Answers:

Correct answer:

Explanation:

Make sure you keep track of negative signs when doing FOIL, especially when doing the Outer and Inner steps.

Example Question #32 : Quadratic Equations And Inequalities

Use FOIL to distribute the following:

Possible Answers:

Correct answer:

Explanation:

When the 2 terms differ only in their sign, the -term drops out from the final product.

Example Question #13 : Foil

Simplify the expression using FOIL:

Possible Answers:

Correct answer:

Explanation:

FOIL is a helpful way to remember how to multiply terms when we are multiplying two binomials.

F stands for first. We multiply the two "first" terms in each of the binomials.

O stands for outer. We multiply the outermost terms in the expression.

I stands for inner. We multiply the innermost terms in the expression.

L stands for last. We multiply the two "last" terms in each of the binomials.

 

F - 

O - 

I - 

L - 

 

Now we combine each part using addition to get:

The two terms in the middle can be combined to get our final answer:

Example Question #194 : Intermediate Single Variable Algebra

Use FOIL:

Possible Answers:

Correct answer:

Explanation:

Recall that using FOIL means multiplying the first terms, then the outside terms, next the inside terms, and finally, the last terms. Therefore, after multiplying all of those, you should get: . Combine your like terms to get a final answer of: .

Example Question #33 : Quadratic Equations And Inequalities

Use FOIL:

Possible Answers:

Correct answer:

Explanation:

Recall that FOIL means multiplying the first terms, then outside terms, next inside terms, and then the last terms. Therefore, when you do those steps, you get: . Simplify the middle terms to get your answer of .

Example Question #34 : Quadratic Equations And Inequalities

Possible Answers:

Correct answer:

Explanation:

To solve this problem, recall that you will be using the FOIL method to mutlply these binomials: . Then, combine like terms to get your answer: .

Example Question #35 : Quadratic Equations And Inequalities

Possible Answers:

Correct answer:

Explanation:

To multiply these binomials, use the FOIL method: . Combine like terms to get your answer of .

Learning Tools by Varsity Tutors