Pre-Algebra : Pre-Algebra
Study concepts, example questions & explanations for Pre-Algebra
All Pre-Algebra Resources
Example Questions
Example Question #21 : Adding And Subtracting Polynomials
Simplify:
First distribute the negative sign outside of the parentheses to each term inside the parentheses.
Combine like terms.
Example Question #22 : Adding And Subtracting Polynomials
Simplify:
Before combining like terms, distribute the negative sign across the terms in the parentheses.
Combine like terms.
Example Question #23 : Adding And Subtracting Polynomials
Solve:
To solve this expression, simplify by removing the parenthesis. Distribute the negative sign throughout the entire quantity.
Combine like-terms.
Example Question #24 : Adding And Subtracting Polynomials
If 
When subtracting the polynomials, make sure that the entire quantities are subtracted. To ensure this occurs, distribute the negative sign that is in front of the second polynomial to each term in the second polynomial. Also, recall that when a negative number is subtracted it becomes positive.
Simplify the expression.
Example Question #25 : Adding And Subtracting Polynomials
Solve:
Eliminate the parentheses by distributing the negative signs.
Combine like-terms.
The negative eight x and the positive eight x cancel out and we are left with the constants which when added together give us our final answer.
Example Question #25 : Adding And Subtracting Polynomials
Evaluate:
Distribute the terms through the parenthesis.
There are no like-terms after simplifying.
Example Question #28 : Polynomials
Simplify:
Before combining like-terms, first distribute the negative sign through the quantities inside the second parentheses.
Example Question #29 : Polynomials
Solve:
Eliminate the parentheses and regroup the terms from ascending to descending order.
Combine like-terms. Only the 
Example Question #30 : Polynomials
Solve the following equation.
All terms are either addition or subtraction, therefore all you have to do is combine like terms.
like terms are those that have the same variable and the same exponent to that variable.
Example: 
Example: 
Seperate each group of like terms.
Example Question #31 : Adding And Subtracting Polynomials
Add:
When adding polynomials, let's first remove the parentheses. To do that, we use the distribution property. The following
can be written as
Then, we simply distribute the +1 through both polynomials. We get
Now, we group and combine like terms. With polynomials, like terms are considered the terms with the same variables.
For example, in the following
we have the variables 
Now, we combine the like terms. We get
So, when we add the polynomials, the solution is
All Pre-Algebra Resources
