Expressions & Equations - Common Core: 6th Grade Math

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:

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:

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:

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.

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

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

The distributive property states:

In other words, we can take the factor on the outside of the parentheses and multiply it by each term inside the parentheses.

Therefore:

Simplify.

This is applying to distrubtive property and then combining like terms.

First you distrubute the negative to the two terms in the first parentheses, so:

Then do the same for the four:

Finally, combine like terms to get:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because we cannot add a number to a variable.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

Now we have

This expression is simplified because we cannot add to because has a variable attached to it.