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

## Example Questions

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### Example Question #1 : Distributive Property

Which of the following expressions is equivalent to the expression below?

Explanation:

First, we can distribute the into the parentheses.

Now we can simplify the terms.

Subtracting a negative is the same as adding a positive.

### Example Question #2 : How To Find The Distributive Property

Explanation:

Using the distributive property, multiply 3 times each of the numbers in parentheses, then add both products:

Alternatively, add the two terms inside the parentheses and then multiply the sum by 3:

### Example Question #3 : How To Find The Distributive Property

Explanation:

First, using the distributive property, multiply 5 times each number in parenthesis, then add the products.

Finally, divide the numerator by the denominator.

Alternatively, first cancel the 5s and then add the terms in the parentheses:

### Example Question #4 : How To Find The Distributive Property

Simplify the expression:

Explanation:

Apply the distributive property:

### Example Question #5 : How To Find The Distributive Property

Simplify the expression:

Explanation:

Apply the distributive property:

### Example Question #1451 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following expressions is equal to  according to the distributive property of multiplication over addition?

Explanation:

According to the distributive property, for any values of

If we set , this becomes the statement

.

Note that two of the other choices are equal to , but for different reasons;  is equivalent because of the commutative property of addition, and  is equivalent because of the commutative property of multiplication. The other two choices are not equal to  at all.

Explanation:

Explanation:

### Example Question #9 : How To Find The Distributive Property

Explanation:

First add the terms inside the parentheses, then multiply: