How to find the distributive property - ISEE Lower Level Quantitative Reasoning

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 .

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 this problem, first substitute for :

Then apply the distributive property:

Where,

Thus, the final solution is:

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.

.

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.

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: