How to find the distributive property - ISEE Lower Level (grades 5-6) Mathematics Achievement

Use the distributive property to solve:

Use FOIL (first, outer, inner, last) to expand.

First:

Outside:

Inside:

Last:

Sum the four terms into one expression.

Simplify by combining like terms.

When there is any number next to a set of parentheses the operation is multiplication of that number and anything inside of the parentheses.

Therefore, would be the same as . The would be multiplied by the since is the same as .

The problem becomes and based on the order of operations the multiplication operation would be solved first.

It solves to .

To properly use the distributive property, multiple the first number by every number in parentheses:

Remember: FOIL (first, outer, inner, last) to expand.

F:

O:

I:

L:

Now you have four terms:

Simplify:

Solve using the FOIL method:

First:

Outside:

Inside:

Last:

Add together and combine like terms:

The distributive property says that when a quantity is multiplied by terms inside parentheses , the quantity outside the parentheses must be multiplied by each quantitity inside the parentheses.

Therefore, the answer is , because is multiplied both by and .

First, multiply 4 and 3 (the result is 12). Then, add that to the result of multiplying 4 and 9 (which is 36). 36 + 12 equals 48.

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

This question can be solved by using the distributive property or by using order of operations.

To solve, multiply each number in parenthesis by :

Then solve:

To solve with order of operations, add within the parentheses and then multiply.

Answer:

To solve for in this equation we want to get alone on one side of the equal sign. We can do this by adding 5 to each side of the equation.

The left side fo the equation cancels out.

is equal to 105.