Answers

2016-06-18T16:26:13+08:00
1. Using a horizontal method to add like terms: Remove parentheses.   Identify like terms.  Group the like terms together.
Add the like terms.
 (2x2 - 4) + (x2 + 3x - 3)  2x2 - 4 + x2 + 3x - 3.. identify like terms 2x2 + x2 + 3x - 4 - 3.. group the like terms together = 3x2 + 3x - 7... add the like terms


 

 2.  Using a vertical method to add like terms:Arrange the like terms so that they are lined up under one another in vertical columns, adding 0 place holders if necessary.   Add the like terms in each column following the rules for adding signed numbers.2x2  +  0x - 4
x  3x - 3    

3x2 + 3x - 7


 

 3. Using algebra tiles to add like terms:Key:= x²(2x2 - 4) + (x2 + 3x - 3)


 

4.  Using the Distributive Property to add like terms:When you are adding the coefficients (the numbers in front of the variables) of like terms together, you are actually using the distributive property in reverse. 4x2 + 5x2 = (4 + 5) x2 = 9x2 
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