Combining like terms Video transcript I've gotten feedback that all the Chuck Noris imagery in the last video might have been a little bit too overwhelming. So, for this video, I've included something a little bit more soothing.

You multiply the x by 3 and you multiply the 1 by 3. Then you just have to simplify using the order of operations.

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What Is Coming Next After you learn about the distributive property you will know how to multiply a monomial by a polynomial.

Next, you can use this information to understand how to multiply a polynomial by a polynomial. You will probably move on to multiplying a binomial times a binomial.

Breaking up the first binomial like this allows you to use your knowledge of the distributive property.

Once you understand this use of the distributive property you can extend this understanding even further to justify the multiplication of any polynomial with any polynomial.

Sometimes while you are attempting to isolate a variable in an equation or inequality you will need to use the distributive property. You already know that you use inverse operations to isolate your desired variable, but before you do that you need to combine like terms that are on the same side of the equation or inequality.

Now there might be a step even before that. You will need to see if the distributive property needs to be used before you can combine like terms then proceed to use inverse operations to isolate a variable.

Word to the Wise Remember that you still have the order of operations. If you can evaluate operations in a straightforward manner it is usually in your best interest to do so.

The distributive property is like a back door to the order of operations for when you get stuck because you do not have like terms.

Of course when you are dealing with only constant terms everything you encounter is like terms. The trouble happens when you introduce variables. This means that some terms cannot be combined.

Remember that variables take the place of real numbers at least in Algebra 1 so the same rules that govern real numbers will also govern the variables that hold their place and vice versa.

You can use the distributive property even when you do not need to.Using the Distributive Property to Simplify Expressions Example 1 Distribute Over Addition or Subtraction STATE FAIR At the state fair, hot dogs cost $5.

Resources / Lessons / Math / Algebra / Distributive Property we can rewrite the problem as -1(3 + x 2) Now the -1 can be distributed to each term inside the parentheses as in the first example in this lesson.

12 Rewrite Using the Distributive Property problems for students to work on at home. Example problems are provided and explained. Standard: Math 2 Grades: () View homework. Rewrite Using the Distributive Property Quiz 10 Rewrite Using the Distributive Property problems. A math scoring matrix is included. Algebra 2: Real Numbers and Algebraic Expressions TopicA2:&Properties&of&Real&Numbers&|&VERSION&A& & lausannecongress2018.com&&&1& Name:&_____& Select&the&propertyor. ©7 u2l0 y1T2 b oK fuAtDa7 SQohfKtIw Yavr YeQ 4LRL GCp.0 m HAQl5lt nrJi OgNhFt 9sN zr 0eds reCr9vQeRdP.W P qM taBdIea Uwoi 9t NhP pIqn jfTi cn MiQtaex sA Cl 3gbe ab drda K Z1 n.7 Worksheet by Kuta Software LLC.

We can now apply the distributive property to the expression by multiplying each term inside the parentheses by x. About "Using distributive property to simplify expressions" We can use the Distributive Property to remove the parentheses from an algebraic expression like 3(x + 5).

Sometimes this is called “simplifying” or “expanding” the expression.

Students' awareness of the distributive property - CiteSeerX Level 3: The intentional utilisation of the property: The student intentionally investigates whether utilisation of the property will produce an equivalent number.

USING THE PROPERTIES TO SIMPLIFY EXPRESSIONS Use the distributive property to rewrite this expression.

6 28 4 28 (6 4)28 Using the distributive property on an expression involving the sum of like terms allows us to combine the like terms as shown in the next example. You have to use the distributive property to rewrite the expression and then combine like terms to simplify.

With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

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Distributive property Definition with examples, practice problems and more