All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #211 : Algebraic Concepts
Simplify:
The expression cannot be simplified further
Group and combine like terms :
Example Question #51 : Variables
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given.
(b) is greater.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
Since and
have different signs,
, and, subsequently,
Therefore,
This makes (b) the greater quantity.
Example Question #1 : How To Add Exponential Variables
Assume that and
are not both zero. Which is the greater quantity?
(a)
(b)
(a) and (b) are equal.
It is impossible to tell from the information given.
(a) is greater.
(b) is greater.
It is impossible to tell from the information given.
Simplify the expression in (a):
Therefore, whether (a) or (b) is greater depends on the values of and
, neither of which are known.
Example Question #1 : Variables And Exponents
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
It is impossible to tell from the information given
We give at least one positive value of for which (a) is greater and at least one positive value of
for which (b) is greater.
Case 1:
(a)
(b)
Case 2:
(a)
(b)
Therefore, either (a) or (b) can be greater.
Example Question #1 : Variables And Exponents
Assume all variables to be nonzero.
Simplify:
None of the answer choices are correct.
None of the answer choices are correct.
Any nonzero expression raised to the power of 0 is equal to 1. Therefore,
.
None of the given expressions are correct.
All ISEE Upper Level Quantitative Resources
