Distributive Property - Pre-Algebra

Distribute the by multiplying it by each term inside the parentheses.

and

Therefore, 5(2 + y) = 10 + 5y.

We need to distribute -3 by multiplying both terms inside the parentheses by -3.:

.

Now we can multiply and simplify. Remember that multiplying two negative numbers results in a positive number:

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!

Add the terms together:

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the through the parentheses by multiplying it by each of the two terms:

Multiply the mononomial by each term in the binomial, using the distributive property.

Use the distributive property to multiply each term by .

Simplify.

When distributing with negative numbers we must remember to distribute the negative to all of the terms in the parentheses.

Remember, a negative multiplied by a negative is positive, and a negative multiplied by a positive number is negative.

Distribute the through the parentheses:

Perform the multiplication, remembering the positive/negative rules:

We can seperate the problem into two steps:

We then combine the two parts:

When distributing with negative numbers we must remember to distribute the negative to all of the variables in the parentheses.

Distribute the through the parentheses by multiplying it with each object in the parentheses to get .

Perform the multiplication remembering the positive/negative rules to get , our answer.

Use the distributive property to multiply each term of the polynomial by . Be careful to distribute the negative as well.

To solve this question you must use the distrubitive property by multiplying x by -2 and the 2 by -2, making sure to distribute the negative as well. This gives you:

Recall the distributive property:

Therefore, we must multiply everything inside the parentheses by .

To simplify further, recall that multiplying like bases mean you add their exponents.

To simplify this expression, use the distributive property. This means that we have to multiply the 2 times both terms inside the parentheses. , and . So, our answer is .

Apply the distributive property of multiplication to remove the parenthesis from the given expression. Multiply the term outside of the parenthesis to each of the terms inside the parenthesis.

Distributive property is used to multiply a single term by two or more terms inside a set of parenthesis. Multiply the outside term (5) by 7 first.

Then multiply the outside term (5) by 9.

Combine the two remaining terms by keeping the sign that was originally inside the parenthesis.

First, we must use the distributive property on both sides of the equation.

The distributive property states:

Therefore:

Now, we can solve the expression like a two-step equation with variables on both sides. Do not forget the properties of equality and perform the same operations on both sides.

Subtract from both sides.

Simplify.

Now, the problem is a one-step equation.

Add to both sides.

Solve.

Check the answer by substituting it back into the original equation. Both sides should equal to each other.

Use the distributive property to simplify the expression.

This means multiply the with each term within the parentheses.

Distribute throughout every term in the parentheses.

Simplify the terms.

Multiplying each term on the outside of the parenthesis by each term on the inside refers to the distributive property.