ISEE Middle Level Math : Operations
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Example Questions
Example Question #54 : How To Add Variables
Combine the following:
To add variables, we will combine like variables together. We can also think of the variables as objects.
For example, a could be apples, and b could be balloons. So, we could write
Example Question #55 : How To Add Variables
Simplify this equation.
To solve this problem you must combine all of the like terms.
So we add
Then we add those together to simplify the expression to
Example Question #56 : How To Add Variables
Solve for 
First, combine all like terms, so we are left with
Then to isolate the variable (get it alone), we divide each side by 10 and are left with
Example Question #57 : How To Add Variables
Simplify by combining like terms.
Simplify by combining like terms.
We can begin by reordering our variables to have ones with the same exponent next to eachother.
Then, simply add the cofficients (numbers in front of the variables) of any variable with the same exponent
So our answer is:
Example Question #54 : How To Add Variables
Simplify:
You should begin by distributing 
Now, move your like variables next to each other:
Finally, combine the like terms:
Example Question #11 : Expressions & Equations
Simplify the following:
When solving this problem we need to remember our order of operations, or PEMDAS.
PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.
Parentheses: We are not able to add a variable to a number, so we move to the next step.
Multiplication: We can distribute (or multiply) the 
Addition/Subtraction: Remember, we can't add a variable to a number, so the 
Now we have
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