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

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1

Example Question #1 :How To Add And Subtract Polynomials In Pre Algebra

If

and

,

what is?

Possible Answers:

有限公司rrect answer:

Explanation:

To solve we must first write out whatis:

Now,we can simplify. However, notice that whensubtractingthese terms, we subtract all terms in the parentheses. Remember when wesubtract a negative number, it is the same as adding the number.This is illustrated in the simplification below.


这个年代implifies to

Now we can combine like terms. Let's put those together and then simplify

Example Question #2 :How To Add And Subtract Polynomials In Pre Algebra

Simplify the expression below.

Possible Answers:

有限公司rrect answer:

Explanation:

When simplifying the addition or subtraction of polynomials, we want to combine like terms. First, when we have a negative sign outside our parentheses, we know that we need to distribute that negative; think of it as an imaginaryand use the distributive property).

Then, we combine our like terms. Be careful when subtracting.

Rearrange the expression.

有限公司mbine terms and simplify.

Example Question #3 :How To Add And Subtract Polynomials In Pre Algebra

Simplify the expression.

Possible Answers:

有限公司rrect answer:

Explanation:

有限公司mbine like terms.

Add the terms together.

Example Question #4 :How To Add And Subtract Polynomials In Pre Algebra

What is the sum ofand?

Possible Answers:

有限公司rrect answer:

Explanation:

In order to solve the problem, simply add the equations.

有限公司mbine like terms.

Solve.

Example Question #5 :How To Add And Subtract Polynomials In Pre Algebra

What is?

Possible Answers:

有限公司rrect 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 from in front of the variables and subtract them to get

After subtraction we add the variableto get.

The answer is.

Example Question #6 :How To Add And Subtract Polynomials In Pre Algebra

Simplify:

Possible Answers:

有限公司rrect answer:

Explanation:

According to exponent laws, if the bases are the same for the two numbers being divided, you keep the base and subtract the exponents.

Example Question #7 :How To Add And Subtract Polynomials In Pre Algebra

Simplify:

Possible Answers:

有限公司rrect answer:

Explanation:

Because both terms have the same radical,, you can combine terms.

equals

Example Question #8 :How To Add And Subtract Polynomials In Pre Algebra

What is

Possible Answers:

有限公司rrect answer:

Explanation:

When adding polynomials you only 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 variableto get.

Example Question #9 :How To Add And Subtract Polynomials In Pre Algebra

What issimplified?

Possible Answers:

有限公司rrect 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 variableto get.

The answer is.

Example Question #10 :How To Add And Subtract Polynomials In Pre Algebra

What issimplified?

Possible Answers:

有限公司rrect answer:

Explanation:

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

So in this case we take the numbers with like-termed variables and combine them.

After subtraction we add the termto get.

The answer is.

← Previous 1
Learning Tools by Varsity Tutors