Using the Distributive PropertyThe distributive property is used A LOT in Algebra! It is essential that you MASTER this skill in order to solve algebraic equations. First we are going to make sure that you have the proper background knowledge, so let's look at a simple math problem: 2( 3+4) = ?
2( 7) = 14
Since this problem contains all numerals, we can use the order of operations and solve inside the parenthesis first. We know that 3 + 4 = 7 and then multiply 7 by 2 and we get our answer of 14! That's basic math.
But, in Algebra we often don't know one of the numeric values and a variable (letter) is used in it's place. Let's look at another example: 2(x+4) = ?
In this problem, we don't know the value of x, so we can't add x + 4. But... we do want to simplify it a little further by removing the parenthesis. So, this is when the distributive property comes in! To prove that this property works, look at the model below.
Here's a couple of other examples for you to study. Copy the examples onto your paper and do them with me. More Examples
TIP: When you simplify algebraic expressions, you DO NOT want two math symbols following each other! For example: -3x + (-4) is incorrect. See how the plus sign is followed by the negative sign? This is better read as -3x - 4. -3x - (-4) is incorrect. See how the minus sign is followed by the negative sign? This is better read as -3x + 4. If you have two math symbols following each other, change the math sign to it's opposite (plus to minus or minus to plus)and change the negative sign following to a positive! Subtracting a negative is the same as adding a positive. Adding a negative is the same as subtracting a positive. Click here to try some practice problems.
|
Print This SiteAlgebra Made Easy NewsletterSubscribe to Algebra Made Easy and get the latest tips on ways to make Algebra Easier!
Custom Search
What People Are Saying..."I was so frustrated with not being able to understand the distributive property, until I searched the web and found your site. Thank you so very much. My eyes have been opened and you are truly a gifted teacher. I am 47, and taking remedial math in college." Rosa - United States What's New on Algebra-class.com?Just released - Algebra Class Video Tutorial Set!
E-book with a notes worksheet, practice problems, step-by-step solutions, quizzes, tests, & a mid-term! Plus online videos for every lesson. Click here to get the Algebraic Expressions unit FREE Click here to view the contents of Algebra Class: Part 1 - Equations and Inequalities The new Probability Unit is up! If you've been struggling with these concepts, check out the great examples and practice problems. |
|||||||
|
[
?] Subscribe To This Site
Enjoy This Site?
Then why not use the button below, to add us to your favorite bookmarking service? |
||||||||
|
| ||||||||