High School Math : How to add and subtract polynomials in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #11 : How To Add And Subtract Polynomials In Pre Algebra

What is  simplified?

Possible Answers:

Correct answer:

Explanation:

When adding polynomials you add the integers in front of like termed variables raised to the same power.

So in this case we take the numbers from, , and add 

After addition we provide the variable  to get 

We have the answer, .

Example Question #11 : How To Add And Subtract Polynomials In Pre Algebra

What is another representation of ?

Possible Answers:

Correct answer:

Explanation:

When adding polynomials, add the integers attached to the same integers raised to the same power.

So in this case we take the numbers and add .

After addition we plug the variable back in to get .

Therefore the answer is .

Example Question #12 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

When simplifying polynomials, only combine like terms raised to the same power.

In this case we can subtract the constants:

The answer is then .

Example Question #14 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

When adding polynomials you add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and add 

After addition we add the variable  to get 

We have the answer .

Example Question #13 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

When subtracting polynomials you only subtract the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and subtract them 

After subtraction we add the variable  to get .

The answer is .

Example Question #13 : How To Add And Subtract Polynomials In Pre Algebra

Simplify

Possible Answers:

Correct answer:

Explanation:

When adding variables raised to the same power, add the values in front of the like-termed variables. In this case, we add  and  to get .

Example Question #14 : How To Add And Subtract Polynomials In Pre Algebra

Simplify

Possible Answers:

Correct answer:

Explanation:

When dividing variables raised to the same power, subtract the power of the bottom term from the power of the top term. In this case, subtract  from  to find the power of the answer, .

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