# combining like terms and distributive property

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Combining Like Terms and Distributive Property. Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher. Basic Information. When you are combining like terms, find terms with common variables (raised to the same power) then add the coefficients - PowerPoint PPT Presentation

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Combining Like Terms and Distributive Property

Combining Like Terms and Distributive PropertyPlease view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.

Basic InformationWhen you are combining like terms, find terms with common variables (raised to the same power) then add the coefficientsMake sure you use the distributive property to get rid of any parenthesis before combining like termsWhen an expression is completely simplified, you will only have one of each term from the original expression (ex. 4x +2y 5)Like TermsLets try to pick out the like terms from the list below.

Like Terms4x and -2x are like terms because they both have an x.

Like Terms8xy and -7xy are like terms because they both have an xy.

Like Terms3y2 and 5y2 are like terms because they both have an x.

Like Terms2y and y are like terms because they both have a y.

Combining Like TermsLets take a look at an example problem.

Combining Like TermsOne strategy to solve this problem is to box things that are like terms.

Since both 3x and -4x have an x, they are considered like terms.Combining Like TermsNext, circle the next term that is not like the first. Circle any other terms that are like terms for this.

2 is a constant (it does not have a variable) and it is the only term left.Combining Like TermsNow you can combine the coefficients for each set of like terms.

Combining Like TermsThis is the simplified version of the expression after you combine like terms.

Combining Like TermsLets try something a little bit more difficult. Group your like terms together before simplifying.

4y and 2y are like terms because they each have a y.-5x and -7x are like terms because they each have an x.2 and 6 are like terms because they are each constants (no variable with them).Combining Like TermsSometimes, youll have the same variable raised to different powers.

THESE ARE NOT LIKE TERMS!Combining Like TermsLets find our like terms.

These are like terms because they both have an x2.Combining Like TermsLets find our like terms.

These are like terms because they both have an x.Combining Like TermsLets find our like terms.

-8 doesnt have any other like terms because it is the only constant.Combining Like TermsNow combine all your like terms to simplify the expression.

Distributive PropertyThe distributive property is used to simplify expressions with parenthesis.You multiply the term on the outside of the parenthesis by each term on the inside of the parenthesis.Lets take a look at an example.Distributive PropertyFor this problem, you need to multiply 3 by each term on the inside of the parenthesis.

You will use this same method for each set of parenthesis in an expression or equation.Distributive Property

Take each set of parenthesis separately and then combine like terms to find the simplified expression.

Distributive Property

If you have an expression with just a negative sign in front of the parenthesis, assume it is -1 and distribute.Follow-Up QuestionsAnswer the following questions on loose leafand hand them in to your teacher. Follow-Up Questions

1.2.3.4.5.Follow-Up Questions

6.7.8.9.5.

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