Combining Like Terms and Distributive Property Basic Information
Combining Like Terms and Distributive Property
Basic Information a. When you are combining like terms, find terms with common variables ( The Same Variable with the Same Exponents) b. Add The Coefficients (the number in front of the variables) c. Make sure you use The Distributive Property to get rid of any parenthesis before combining like terms
Like Terms Let’s try to pick out the “like terms
Like Terms 4 x and -2 x are like terms because they both have an x.
Like Terms 8 xy and -7 xy are like terms because they both have an xy.
Like Terms 3 y 2 and 5 y 2 are like terms because they both have an y 2.
Like Terms 2 y and y are like terms because they both have a y.
Combining Like Terms Let’s take a look at an example problem. Both -5 x 2 and 10 x 2 have x 2 , they are like terms (same variable and same exponents)
Combining Like Terms Let’s take a look at an example problem. Both 3 x and -4 x have x , they are like terms (same variable and same exponents)
Combining Like Terms Let’s take a look at an example problem. Both 2 and -8 are numbers, they are like terms.
Combining Like Terms Let’s take a look at an example problem. Now order all the like terms from the height exponent to the lowest, and last numbers.
Combining Like Terms Let’s take a look at an example problem. -5 x 2 and 10 x 2 comes first
Combining Like Terms Let’s take a look at an example problem. + Now 3 x and -4 x comes second Since 3 x is positive we write and adding sing in front of it
Combining Like Terms Let’s take a look at an example problem. + Now numbers +2 and -8 comes last. They are like terms because the are numbers (Constant)
Combining Like Terms Let’s take a look at an example problem. + Now Combine like terms and Simplify
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 -5 x 2 + 10 x 2 = 5 x 2
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 -1 x +3 x– 4 x=-1 x
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 -1 x Remember there is no need to put the 1 in front of the variable
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 -1 x Remember there is no need to put the 1 in front of the variable
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 - 8= -6 -6
Combining Like Terms Let’s take a look at an example problem. + 5 x 2 - x The Simplified Equations is 5 x 2 – x – 6 -6
Distributive Property The 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.
Distributive Property For 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 Take each set of parenthesis separately and then combine like terms to find the simplified expression. 2 x 14
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 Questions Answer the following questions on loose leaf and hand them in to your teacher.
Follow-Up Questions 1. 2. 3. 4. 5.
Follow-Up Questions 6. 7. 8. 9. 10.
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