All ISEE Upper Level Math Resources
Example Questions
Example Question #121 : Equations
Solve for :
We know that any number raised to the power of zero is equal to . Then we can substitute
with
:
Now we need to solve the following equation:
Since the bases are the same, we can set the exponents equal to one another:
Example Question #122 : Equations
If is a real number and
, solve the following equation for
:
We know that any number raised to the power of zero is equal to :
Then:
Again we know that any number raised to the power of zero is equal to , so we can substitute
with
:
Since the bases are the same, we can set the exponents equal to one another:
Example Question #123 : Equations
Solve the following equation :
We know that and
.
Since the bases are the same, we can set the exponents equal to one another:
Example Question #121 : Equations
If , solve the following equation for
:
We know that any number raised to the power of zero is equal to . Therefore we can substitute
with
in the equation:
Since the bases are the same, we can set the exponents equal to one another:
Example Question #122 : Equations
If , solve the following equation:
We know that :
Since the bases are the same, we can set the exponents equal to one another:
Example Question #122 : Equations
Define
and
.
Evaluate:
First, evaluate by using the definition of
for nonnegative values of
.
Therefore,
, so
Example Question #123 : Equations
Define
Evaluate
Example Question #122 : Algebraic Concepts
Solve for :
Example Question #122 : Algebraic Concepts
Define and
Evaluate:
Substitute for
in the definition of
:
Therefore,
and
Example Question #831 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Define an operation on two real numbers as follows:
For any real numbers ,
Evaluate:
Substitute in the definition:
All ISEE Upper Level Math Resources
