All Common Core: 6th Grade Math Resources
Example Questions
Example Question #22 : Distributive Property
Simplify the following expression using the distributive property.
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.
Example Question #291 : Expressions & Equations
Which of the following is equivalent to ?
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:
Example Question #4 : Distributive Property
Distribute:
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:
Example Question #4 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3
Solve the equation using the distributive property.
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.
Example Question #21 : Distributive Property
Simplify using 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.
Example Question #292 : Expressions & Equations
Select the expression that is equal to
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.
Example Question #742 : Grade 6
Select the expression that is equal to
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.
Example Question #293 : Expressions & Equations
Select the expression that is equal to
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.
Example Question #12 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3
Select the expression that is equal to
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.
Example Question #13 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3
Select the expression that is equal to
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.