All ISEE Middle Level Math Resources
Example Questions
Example Question #31 : Variables
Simplify:
Begin by distributing the through the parentheses:
Next, move the like terms next to each other. Remember, treat like it is its own, separate variable.
Finally, combine like terms:
Example Question #151 : Variables
Simplify:
Combine like terms:
Example Question #21 : How To Add Variables
Simplify:
Combine like terms:
Example Question #31 : Operations
Evaluate
Example Question #35 : Variables
Add the numbers and keep the variable:
Answer:
Example Question #11 : How To Add Variables
Simplify:
First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:
Return to the original expression:
Since the variables have the same exponents we can write:
Example Question #11 : Algebra
Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?
Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.
After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.
There are 3 more cinnamon cookies than chocolate chip cookies.
Example Question #13 : How To Add Variables
Add in modulo 13 arithmetic.
In modulo 13 arithmetic, a number is congruent to the remainder of the divison of that number by 13. Since
and
,
,
making the correct response 0.
Example Question #11 : How To Add Variables
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Adding, subtracting, multiplying
Adding, multiplying, subtracting
Multiplying, subtracting, adding
Subtracting, adding, multiplying
Multiplying, adding, subtracting
Adding, multiplying, subtracting
By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, multiplication precedes subtraction.
Example Question #12 : How To Add Variables
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Multiplying, squaring, adding
Squaring, multiplying, adding
Adding, multiplying, squaring
Multiplying, adding, squaring
Squaring, adding, multiplying
Squaring, multiplying, adding
By the order of operations, in the absence of grouping symbols, exponentiation (squaring here) takes precedence, followed by, in order, multiplication and addition.
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