Pre-Algebra : Adding and Subtracting Polynomials

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #21 : Polynomials

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve by first eliminating the parentheses.

Simplify by combining like terms. In this particular problem the like terms are the  terms.

Example Question #22 : Polynomials

Simplify:  

Possible Answers:

Correct answer:

Explanation:

First distribute the negative sign outside of the parentheses to each term inside the parentheses.

Combine like terms.

Example Question #23 : Polynomials

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Before combining like terms, distribute the negative sign across the terms in the parentheses.

Combine like terms.

Example Question #24 : Polynomials

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve this expression, simplify by removing the parenthesis.  Distribute the negative sign throughout the entire quantity.

Combine like-terms.

Example Question #25 : Polynomials

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

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 #26 : Polynomials

Solve:  

Possible Answers:

Correct answer:

Explanation:

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 #27 : Polynomials

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Distribute the terms through the parenthesis.

There are no like-terms after simplifying.

Example Question #28 : Polynomials

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Before combining like-terms, first distribute the negative sign through the quantities inside the second parentheses.

Example Question #29 : Polynomials

Solve:  

Possible Answers:

 

Correct answer:

 

Explanation:

Eliminate the parentheses and regroup the terms from ascending to descending order.

Combine like-terms.  Only the  terms and the integers can be simplified.

Example Question #30 : Polynomials

Solve the following equation.

Possible Answers:

Correct answer:

Explanation:

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:  and  have the same variable and the same exponent.

Example:  and  have the same variable and same amount of exponents.

Seperate each group of like terms.

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