# ISEE Lower Level Math : How to find the distributive property

## Example Questions

### Example Question #71 : Numbers And Operations

Given that , simplify:

Explanation:

To solve this problem, first substitute  for :

Then apply the distributive property:

Where,

Thus, the final solution is:

### Example Question #72 : Numbers And Operations

Multiply:

Explanation:

To multiply these terms apply the Distributive property: ,

Where

Thus, the solution is:

is the final answer because this expression can't be simplified.

### Example Question #73 : Numbers And Operations

Find an expression with an equivalent value to:

Explanation:

In order to find an equivalent expression to  consider the Distributive property:

It is necessary to select an answer choice where the product of  and where the product of

Therefore, the solution is  because

### Example Question #74 : Numbers And Operations

Multiply:

Explanation:

To multiply these terms apply the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms:

Notice that in this problem

Therefore, the solution is:

### Example Question #75 : Numbers And Operations

Find an expression with an equivalent value to:

Explanation:

In order to find an equivalent expression to  consider the Distributive property:

It is necessary to select an answer choice where the product of  and where the product of

Therefore, the solution is  because:

### Example Question #76 : Numbers And Operations

Multiply:

Explanation:

To multiply these terms apply the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms:

Note: FOIL stands for First, Outside, Inside, Last, where
First
Outside
Inside
Last

However, in this particular problem we will not end up with any like terms that we can sum together.

### Example Question #77 : Numbers And Operations

Given that

evaluate:

Explanation:

To solve this problem, first substitute  for :

or once you've substituted  for , apply the distributive property:

Where,

### Example Question #78 : Numbers And Operations

Multiply:

Explanation:

To evaluate these terms apply the Distributive property:
Then, combine any like terms to simplify the solution.

The solution is:

### Example Question #79 : Numbers And Operations

Multiply:

Explanation:

To multiply these terms use the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms:

Note: FOIL stands for First, Outside, Inside, Last, where
First
Outside
Inside
Last

In this problem,

Thus,

The final solution is:

### Example Question #80 : Numbers And Operations

Find an equivalent expression to: