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

## Example Questions

### Example Question #21 : Numbers And Operations

Simplify the expression using the distributive property:

Explanation:

The first step is to reduce the value in the parenthesis by subtracting the numbers 9 and 6. This results in:

Next, the distributive property is applied by multiplying 5 by each number within the parenthesis.

### Example Question #22 : Numbers And Operations

Which of the following is equivalent to ?

None of these

Explanation:

Let's start by expanding the give expression using the distributive property:

Looking at our answer choices, we need to find the option that is equivalent. To do so, group together like-terms.

The correct answer is because it also simplifies to .

### Example Question #23 : Numbers And Operations

Simplify the expression:

Explanation:

In order to simplify this expression, the distributive property should be applied. Multiply each term within parenthesis by the term outside the parenthesis.

Next, 9 is subtracted from 12, resulting in:

Since these are not like-terms, we cannot simplify any further.

### Example Question #24 : Numbers And Operations

Simplify the expression:

The expression cannot be simplified

Explanation:

To simplify this expression, we need to apply the distributive property. Multiply each term within parenthesis by the term outside the parenthesis.

Next, we combine like-terms:

### Example Question #25 : Numbers And Operations

Which of the following is equivalent to the expression:

Explanation:

The first step in reducing the expression is to apply the distributive property:

This results in:

This can further be reduced by combining like terms:

### Example Question #26 : Numbers And Operations

Simplify the expression.

Explanation:

The first step to solve this problem is to apply the distributive property.

Next, combine  and  by adding them together.

### Example Question #27 : Numbers And Operations

What is the simplified version of this expression?

None of these

Explanation:

In order to solve this problem, the distributive property must first be applied. Multiply each term in parenthesis by the term outside the parenthesis.

Combine like-terms to further reduce the expression.

### Example Question #28 : Numbers And Operations

Sharon purchased  pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

Do not forget to list their reciprocals.

Sharon can make  different treat bag combinations with an even amount of candy in each bag.

### Example Question #29 : Numbers And Operations

Sharon purchased  pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

Do not forget to list their reciprocals.

Sharon can make  different treat bag combinations with an even amount of candy in each bag.

### Example Question #30 : Numbers And Operations

Sharon purchased  pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?