### All Algebra II Resources

## Example Questions

### Example Question #4 : Simplifying Polynomials

Expand this expression:

**Possible Answers:**

**Correct answer:**

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

Put all of these terms together:

Combine like terms:

### Example Question #1 : Foil

Evaluate

**Possible Answers:**

**Correct answer:**

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 #1 : How To Simplify Binomials

Simplify:

**Possible Answers:**

**Correct answer:**

### Example Question #2 : Foil

Foil:

**Possible Answers:**

**Correct answer:**

First:

Outside:

Inside:

Last:

### Example Question #1 : Foil

FOIL .

**Possible Answers:**

**Correct answer:**

(2x + 3)(x + 5)

**F**irst: 2x multiplied by x = 2x²

**O**uter: 2x multiplied by 5 = 10x

**I**nner: 3 multiplied by x = 3x

**L**asts: 3 multiplied by 5 = 15

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

Simplify: 2x² + 13x + 15

### Example Question #4 : Foil

Use FOIL method to expand the product.

**Possible Answers:**

**Correct answer:**

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

Multiply using FOIL and group like terms.

### Example Question #1 : Foil

Expand the following expression:

**Possible Answers:**

**Correct answer:**

Expand the expression using the FOIL Method:

FIRST:

OUTER:

INNER:

LAST:

Therefore:

### Example Question #6 : Foil

Simplfy and combine like terms:

**Possible Answers:**

**Correct answer:**

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 #7 : Foil

Expand the following binomial product:

**Possible Answers:**

**Correct answer:**

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:**

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: