High School Math : How to combine like terms in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Combine Like Terms In Pre Algebra

What is  simplified?

Possible Answers:

Correct answer:

Explanation:

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example,  and .

Separate the 's to get .

Then perform the necessary subtraction to get .

Then separate the 's to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

Example Question #2 : How To Combine Like Terms In Pre Algebra

What is  simplified?

Possible Answers:

Correct answer:

Explanation:

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example,  and .

Separate the 's to get .

Then perform the necessary subtraction and addition with the numbers in front of the variables to get  or .

Then separate the ’s to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

Example Question #1 : How To Combine Like Terms In Pre Algebra

Simplify the following equation into its simplest form by combining like terms:

Possible Answers:

Correct answer:

Explanation:

When combining like terms, the order of operations must also be taken into account. 

then combine the x squared terms to get the answer. 

Example Question #2 : How To Combine Like Terms In Pre Algebra

Simplify the expression below.

Possible Answers:

Correct answer:

Explanation:

First, distribute the negative sign into the parentheses.

Next, combine like terms.

Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.

Example Question #3 : How To Combine Like Terms In Pre Algebra

Simplify the expression.

Possible Answers:

Correct answer:

Explanation:

Re-write the expression to group like terms together.

Simplify.

Example Question #1 : Addition And Subtraction

What is   simplified?

Possible Answers:

Correct answer:

Explanation:

To simplify a problem like the example above we must combine the like-termed variables.

Like terms are the terms that share the same variable(s) to the same power. In this example the like term is .

To combine like terms the variable  stays the same and you add the numbers in front.

Perform the necessary addition, , to get .

We have the simplified version of the equation, .

Example Question #1 : How To Combine Like Terms In Pre Algebra

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Combine like terms: . Remember you can only combine terms that have the same variables, for example  and , but not  and 

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