All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : How To Graph Complex Numbers
Multiply:
FOIL the product out:
Example Question #2 : How To Graph Complex Numbers
Simplify:
Use the square of a binomial pattern to multiply this:
Example Question #3 : How To Graph Complex Numbers
Multiply:
This is a product of an imaginary number and its complex conjugate, so it can be evaluated using this formula:
Example Question #4 : How To Graph Complex Numbers
Multiply:
This is a product of an imaginary number and its complex conjugate, so it can be evaluated using this formula:
Example Question #5 : How To Graph Complex Numbers
Define an operation as follows:
For all complex numbers ,
Evaluate
Example Question #5 : How To Graph Complex Numbers
Define an operation as follows:
For all complex numbers ,
Evaluate
Example Question #81 : Graphing
Evaluate .
The expression is undefined.
Example Question #8 : How To Graph Complex Numbers
Define an operation as follows:
For all complex numbers ,
Evaluate
Multiply both numerator and denominator by the conjugate of the denominator, , to rationalize the denominator:
Example Question #7 : How To Graph Complex Numbers
Define an operation as follows:
For all complex numbers ,
Evaluate .
None of the other choices gives the correct answer.
Example Question #10 : How To Graph Complex Numbers
Define an operation as follows:
For all complex numbers ,
If and , evaluate .
If , then
.
Distribute out to yield
Either or . However, we are given that , so