ISEE Middle Level Math : Algebraic Concepts
Study concepts, example questions & explanations for ISEE Middle Level Math
All ISEE Middle Level Math Resources
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
Example Question #201 : Algebraic Concepts
To solve:
First, solve both equations on each end, keeping the variable.
Then, subtract 15 from each side of the equation.
Finally, divide each side by 3 so that only the variable remains.
Example Question #202 : Algebraic Concepts
Ann, Bailey, Cara, Jack, and Jill are running a marathon. Cara finishes 4 minutes before Ann. Jill finishes after Bailey, who finishes after Ann. Jack finishes right before Bailey. Who else does Jack finish the race before?
Cara
Jill
Bailey
Ann
There is not enough information to solve this problem.
Jill
Cara finishes first. Ann and Bailey finish before Jill. If Jack finishes right before Bailey, then Jill finishes last.
Example Question #1 : How To Find The Solution To An Equation
Solve for 
Subtract 19, then divide by 7:
Example Question #2 : Equations
A bicycle originally costs $120.00. If it is on sale for 30% off, what is the sale price of the bicycle?
First multiply the original price by 30%.
Then subtract that amount from the original price.
The sale price is $84.00
All ISEE Middle Level Math Resources
