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

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Example Questions

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

What is 8y+x-4y-3x simplified?

Possible Answers:

-2x+4y

2xy

2 x-4y

2x+4y

Correct answer:

-2x+4y

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 x-3x .

Then perform the necessary subtraction to get -2x .

Then separate the 's to get 8y-4y .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation -2x+4y .

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

What is 5x+4y-8x-6y+17x simplified?

Possible Answers:

12x+2y

14x+2y

14x-2y

12xy

Correct answer:

14x-2y

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 5x-8x+17x .

Then perform the necessary subtraction and addition with the numbers in front of the variables to get 5+17-8=14 or 14x .

Then separate the ’s to get 4y-6y .

Then perform the necessary subtraction to get -2y .

We then combine our answers to have the simplified version of the equation 14x-2y .

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

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

2x^2+4y-3x*2x=0

Possible Answers:

4x^2-4y=0

4y-4x^2=0

2x^2+4y-6x^2=0

2x^2+4y-6x=0

4y+4x^2=0

Correct answer:

4y-4x^2=0

Explanation:

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

2x*3x=6x^2

then combine the x squared terms to get the answer.

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Example Question #1 : Order Of Operations

Simplify the expression below.

x^3+2x+4x^2-(3x-5x^2+2)

Possible Answers:

x^3+9x^2-x-2

x^3-9x-x+2

x^3-x^2-x-2

x^3-x^2-x+2

Correct answer:

x^3+9x^2-x-2

Explanation:

First, distribute the negative sign into the parentheses.

x^3+2x+4x^2-(3x-5x^2+2)=x^3+2x+4x^2-3x+5x^2-2

Next, combine like terms.

x^3+9x^2-x-2

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

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Example Question #1 : Addition And Subtraction

Simplify the expression.

6x+7y-3x+2y

Possible Answers:

5y-3x

3x+9y

9y-3x

6x-4y

9xy-6xy

Correct answer:

3x+9y

Explanation:

6x+7y-3x+2y

Re-write the expression to group like terms together.

(6x-3x)+(7y+2y)

Simplify.

3x+9y

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Example Question #2 : Addition And Subtraction

What is $2x^{2}+3x^{2}$ simplified?

Possible Answers:

$6x^{4}$

$5x^{2}$

$6x^{2}$

$5x^{4}$

Correct answer:

$5x^{2}$

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 $x^{2}$ .

To combine like terms the variable $x^{2}$ stays the same and you add the numbers in front.

Perform the necessary addition, 2+3=5 , to get $5x^{2}$ .

We have the simplified version of the equation, $5x^{2}$ .

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

4xy+2y-5xy+9x+3

Simplify:

Possible Answers:

$12x^2y^{2}$

13xy+3

6xy-9x+3

2y-xy+9x+3

15xy

Correct answer:

2y-xy+9x+3

Explanation:

Combine like terms: (4xy-5xy) . Remember you can only combine terms that have the same variables, for example and , but not and

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

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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

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

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

Example Question #1 : Order Of Operations

Example Question #1 : Addition And Subtraction

Example Question #2 : Addition And Subtraction

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

All High School Math Resources

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